For a remote controlled car on the ground: X (t)= 5-20t e y(t)= -1+6t²-2t.
a) The trajectory of the particle can be found by plotting the values of x and y as a function of time, t.
b) The movement along each coordinate is 2 seconds.
c) Average acceleration and acceleration is 16m/s² and 2m/s² respectively.
How to calculate motion?b) The movement along each coordinate axis can be characterized by considering the behavior of x(t) and y(t) separately. The x-coordinate, x(t), decreases with time and reaches a minimum value of -15 at t=1 second. The y-coordinate, y(t), increases with time, reaches a maximum value of 3 at t=1 second, and then decreases to 0 at t=2 seconds.
c) To find the average acceleration in the first second of motion, find the average velocity over that time interval and then find its derivative. The average velocity in the first second of motion can be calculated as the average of the initial velocity and the final velocity. The initial velocity is -19 m/s and the final velocity is -13 m/s, so the average velocity is -16 m/s. The derivative of velocity with respect to time is acceleration. So, the average acceleration in the first second of motion is (13-(-19))/2 = 16 m/s².
The acceleration in t=1s can be found by taking the derivative of velocity with respect to time. At t=1 second, the velocity is -13 m/s and the acceleration is (3-(-1))/(1-(-1)) = 2 m/s².
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The tension T2 has a magnitude of 60.0 N and the masses m₁ = 10.0 kg, m2 = 8.00 kg, and m3 = 12.0 kg. Determine the acceleration of the masses and the tension T1.
Answer: We can use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by acceleration.
Let's call the acceleration of the system "a". Then the net force acting on m1 is T1 - T2 + m1 * a = 0.
The net force acting on m2 is T2 - m2 * a = 0.
And the net force acting on m3 is T2 + m3 * a = 0.
Solving these three equations, we get:
T1 = T2 + m2 * a = 60.0 N + 8.00 kg * a
m1 * a = -T2 + 60.0 N + m1 * a
m3 * a = T2 - 60.0 N + m3 * a
Substituting T2 = 60.0 N, we get:
T1 = 60.0 N + 8.00 kg * a
m1 * a = -60.0 N + 10.0 kg * a
m3 * a = 60.0 N + 12.0 kg * a
Solving for the acceleration, we get:
a = (60.0 N + 8.00 kg * a) / (10.0 kg - 8.00 kg) = (60.0 N + 8.00 kg * a) / 2.0 kg
a = (60.0 N + 8.00 kg * a) / 2.0 kg = (60.0 N) / 2.0 kg + (8.00 kg * a) / 2.0 kg
a * 2.0 kg = 60.0 N + 8.00 kg * a
a = 60.0 N / 2.0 kg + 8.00 kg * a / 2.0 kg
a * 2.0 kg - 8.00 kg * a = 60.0 N
a * 10.0 kg = 60.0 N + 8.00 kg * a
a = 60.0 N / 10.0 kg = 6.0 m/s²
Finally, we can use T1 = 60.0 N + 8.00 kg * a to find T1:
T1 = 60.0 N + 8.00 kg * 6.0 m/s² = 60.0 N + 48.0 N = 108.0 N
So the acceleration of the masses is 6.0 m/s², and the tension T1 is 108.0 N.
Explanation:
Particles q₁ +8.0 μC, q₂ +3.5 μC, and
93 -2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
The net electric force on particle 2 is -21.7 N.
What is the net force on particle q₂?
The net force on particle q₂ is determined by applying Coulomb's law of electrostatic force.
F = kq₁q₂ / r²
where;
k is coulomb's constantq is the magnitude of the charger is the distance between the chargeThe force between particle 2 and particle 1 is calculated as;
F = -( 9 x 10⁹ x 8 x 10⁻⁶ x 3.5 x 10⁻⁶ ) / (0.1)²
F = - 25.2 N
The force between particle 2 and particle 3 is calculated as;
F = ( 9 x 10⁹ x 2.5 x 10⁻⁶ x 3.5 x 10⁻⁶ ) / (0.15)²
F = 3.5 N
The net force on particle 2 = 3.5 N - 25.2 N = -21.7 N
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Find the magnitude of the sum A + B + C. Each grid Square is 5.00 N on a side. If the vector sum is to the west, enter a negative value. If the vector sum is to the east entrr a positive value.
The magnitude of the sum A + B + C is 5
What is a Vector?The term "vector" is used colloquially to describe constituents of particular vector spaces or some quantities that cannot be described by a single integer.
How to solve for the quantity
A = 15J + 20J
B= -20J
C= -10J
S= A + B + C = 15J + 20J -20J -10J
S = 5J
Therefore, S= 5
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A light bulb at point x in the frame of reference of O blinks on and off at intervals Δt = t2 − t1. Observer O′, moving relative to O at speed u, measures the interval to be Δt ′ = t ′ 2 − t ′ 1. Use the Lorentz transformation expressions to derive the time dilation expression relating Δt and Δt ′.
The expression of time dilation is: Δt' = Δt/√(1 -(v/c)²)
What is time dilation?Think of two precise clocks that are identical, one stationary and the other travelling nearly at the speed of light. The moving clock measures a shorter amount of time than the stationary clock because of the effects of special relativity.
The time of the moving clock is said to be the "right time" if the observer is moving in the same frame of reference as the clock. The time, however, that a stationary observer records during the same time interval is extended or "dilated."
The expression of time dilation is:
Δt' = Δt/√(1 -(v/c)²)
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Please solve this question
Answer:
Explanation:
fbfgdgtfg
A 20×10⁹charge is moved between two points A andB that are 30mm apart and have an electric potential difference of 600v between them. calculate a) the electric field strength between A and B b)the work done on the charge.
The electric field strength between A and B 90x20=1800.
What is Electric field?The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field (also known as an E-field. It can also refer to a system of charged particles' physical field.
Electric charges and time-varying electric currents are the building blocks of electric fields. The electromagnetic field, one of the four fundamental interactions (also known as forces) of nature, manifests itself in both electric and magnetic fields.
Electrical technology makes use of electric fields, which are significant in many branches of physics. For instance, in atomic physics and chemistry, the electric field acts as an attractive force to hold atoms' atomic nuclei and electrons together.
Therefore, The electric field strength between A and B 90x20=1800.
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A 19 kg bowling ball with a radius of 11 cm
starts from rest at the top of an incline 2.0 m
in height.
Find the translational speed of the bowling
ball after it has rolled to the bottom of the
incline. (Assume that the ball is a uniform
solid sphere.)The acceleration of gravity is
9.81 m/s^2.
Answer in units of m/s. Answer in units of m/s.
The translational speed of the bowling ball is 6.28 m/s.
What is translational speed?Translational speed refers to the motion of an object in a straight line. It is the speed at which an object moves from one point to another in space. In the context of a ball rolling down an incline, translational speed would refer to the speed of the ball at any given moment as it moves in a straight line down the incline.
To find the translational speed of the bowling ball after it has rolled to the bottom of the incline, we need to use the equation of motion:
[tex]v = sqrt(v0^2 + 2ax)[/tex]
where v is the final velocity, v0 is the initial velocity (0 in this case), a is the acceleration (9.81 m/s^2), and x is the distance traveled (2 m).
So,
[tex]v = sqrt(0 + 2 * 9.81 * 2)\\v = sqrt(39.24)\\v = 6.28 m/s[/tex]
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[tex]\huge\bold{Question}[/tex]
An orange of mass 125 g falls from a branch to the ground 3.50 m below. (a) Relative to the ground, what is the gravitational potential energy of the orange on the branch? On the ground? (b) Relative to the branch, what is the gravitational potential energy of the orange on the branch? On the ground? J (c) During the orange's fall, what is its change in gravitational potential energy relative to the ground? Relative to the branch?
(a) Relative to the ground, the gravitational potential energy of the orange on the branch is 4.29 J and on ground is 0 J.
(b) ) Relative to the branch, the gravitational potential energy of the orange on the branch is 0 J and on ground is 4.29 J.
(c) The change in potential energy relative to the ground is -4.29 J and relative to the branch is 0 J.
What is the gravitational potential energy?
Relative to the ground, the gravitational potential energy of the orange on the branch is calculated as follows;
P.E = mgh
where;
m is the mass of the orangeh is the height of the branch above the groundg is acceleration due to gravityP.E = 0.125 kg x 9.8 m/s² x 3.5
P.E = 4.29 J
The gravitational potential energy of the orange on the ground is calculated as follows;
P.E = mgh
P.E = m x g x 0 m
P.E = 0 J
The change in potential energy = final potential energy - initial potential energy
change in potential energy = 0 J - 4.29 J = - 4.29 J
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3. A football player runs at 8 m/s and plows into a 80 kg referee standing on the field causing
the referee to fly forward at 5.0 m/s. If this were a perfectly elastic collision, what would the
mass of football player be?
Answer:
Explanation:
To solve for the mass of the football player, we can use the conservation of momentum principle, which states that the total momentum before a collision is equal to the total momentum after the collision. Assuming the collision is perfectly elastic, we have:
m1 * v1 + m2 * v2 = m1 * v1' + m2 * v2'
where m1 is the mass of the football player, v1 is the initial velocity of the football player, m2 is the mass of the referee, v2 is the initial velocity of the referee, v1' is the final velocity of the football player, and v2' is the final velocity of the referee.
Since the referee is at rest before the collision, we can set v2 = 0. Plugging in the given values, we get:
m1 * 8 + m2 * 0 = m1 * (-8) + m2 * 5
Expanding and solving for m1:
8m1 = -8m1 + 80
16m1 = 80
m1 = 5 kg
So, the mass of the football player is 5 kg.
1.Copper is wrapped with rubber when used in electric wiring. What describes rubber as a material? (1 point)
Responses
superconductor
electromagnet
insulator
conductor
2. Which material provides resistance to the flow of electrons? (1 point)
Responses
silver
saltwater
copper
salt crystals
3. The set up for a science experiment uses a battery, light bulb and copper wire. Which material can be connected to copper wire and a battery to light up the bulb?(1 point)
Responses
nylon string
aluminum foil
plastic straw
rope
4. An electrician wears rubber gloves when working on electrical wiring. What is the purpose of the rubber gloves? (1 point)
Responses
to protect hands from being punctured or cut
to increase the temperature of the hands
to prevent electric shock by restricting the flow of electrons
to allow more electrons to pass through.
5. Why is metal a good conductor? (1 point)
Responses
Its valence electrons flow freely through the material.
It has a higher restriction for moving electrons.
Its rigid structure creates a strong bond among electrons.
It has a solid and compact material.
Rubber is not conducting and is called an insulator. Insulators provide resistance to the flow of electrons. Aluminum foil can be used to the copper wire to light up the bulb.
What are conductors ?Based on the conductivity, there are three types of materials namely, conductor, semiconductors and insulators. Conductors are able to allow the flow of free electron through them thus conduct electricity at room temperature.
Semiconductors only conduct at high temperature and insulators does not conduct at any temperature. Rubber is an insulator and thus used as protecting gloves for hands to prevent electric shock.
Salt crystals in the solid state are not conducting. But the salt solution is conducting due to the presence of ions.
The material which can be used connected to copper wire and a battery to light up a bulb is aluminum foil. Metals are good conductors because, its valence electrons flow freely through the material.
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Rubber, which is not conducting, is referred to be an insulator. Providing barrier to the movement of electrons is an insulator. Copper wire can be wrapped in aluminum foil to light the bulb.
How do conductors work?Three different categories of materials—conductors, semiconductors, and insulators—are categorized according to their conductivity. At normal temperature, conductors can flow free electrons through them and conduct electricity.
Insulators do not conduct at any temperature, while semiconductors only do so at high temperatures. Rubber acts as an insulator, making it ideal for use as hand protection against electric shock.
In the solid state, salt crystals are not conductors. But because ions are present, the salt solution conducts.
Therefore, Rubber, which is not conducting, is referred to be an insulator. Providing barrier to the movement of electrons is an insulator. Copper wire can be wrapped in aluminum foil to light the bulb.
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Please help ASAP label the correct numbers and how to describe the earth’s atmosphere heated by greenhouse effect.
The greenhouse effect is the mechanism by which radiation from a planet's atmosphere warms the planet's surface to a certain temperature.
What is greenhouse effect?When heat from a planet's host star passes through its atmosphere and warms the planet's surface, the process is known as the greenhouse effect. The way that "greenhouse gases" trap heat near to the Earth's surface is known as the greenhouse effect. You may think of these heat-trapping gases as a blanket keeping the Earth warmer than it otherwise would be.
When Earth's atmosphere's gases capture the heat from the Sun, the process is known as the greenhouse effect. Earth becomes significantly warmer as a result of this process than it would be otherwise.
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The playground design committee wants the playhouse roof to be constructed from plastic. The plastic is available in thicknesses of 0.25 cm and 2 cm. You want to minimize the transfer of heat to the roof on hot Which recommendation would you make to the design and sunny days. committee?
Choose:
A. Choose the 2-cm-thick plastic because it will take longer to get warm on hot and sunny days
B. Choose the 0.25-cm-thick plastic because it will take longer to get warm on hot and sunny days
C. Choose the 2-cm-thick plastic because it will get warm more quickly on hot and sunny days
D. Choose the 0.25-cm-thick plastic because it will get warm more quickly on hot and sunny days
It should be noted that to minimize the transfer of heat to the roof, the recommendation of design would be : A. Choose the 2-cm-thick plastic because it will take longer to get warm on hot and sunny days.
What is the best recommendation?The 2-cm-thick material is advised if you want to reduce heat transfer to the roof on hot, bright days.
The reason is because they are better insulators and take longer to warm up, thicker materials offer higher thermal resistance. In this situation, the 2-cm-thick plastic would take longer to warm up on hot, sunny days, lowering the amount of heat that is transferred to the roof and assisting in keeping it cooler.
The correct option is A.
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Your friend shoots an 80-g arrow through a 100-g apple balanced on william tells head. the arrow has a speed of 50 m/s before passing through the apple and 40 m/s after. determine the final speed of the apple
The final speed of the apple would be 26.9 m/s.
What is collision in physics?A collision happens when two bodies come in direct contact with each other.In this case, the two bodies exert forces on each other in a short period of time.The energy and momentum of bodies interacting undergo a change as a result of the collision.An elastic collision is an encounter (collision) between two bodies in which the total kinetic energy of the two bodies remains the same.In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.Given is that your friend shoots an 80g arrow through a 100g apple balanced on William tells head. The arrow has a speed of 50m/s before passing through the apple and 40m/s after.
In a elastic collision, the total kinetic energy of the system remains the same. So, we can write -
[tex]$E_{1i} +E_{2i} = E_{1f} +E_{2f}[/tex] .... Eq{ 1 }
We can write as -
{1/2 x 80 x 2500} + 0 = {1/2 x 80 x 1600} + {1/2 x 100 x v²}
{1/2 x 100 x v²} = {40 x 2500} - {40 x 1600}
50v² = 40 x 900
v² = 720
v = √720
v = 26.9 m/s
Therefore, the final speed of the apple would be 26.9 m/s.
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What is the Power (Watts) dissipated in a 25 Ohm circuit if it has 3.0 Amps of current?
The amount that the valve is open is reflected by the resistance in the faucet. The diameter of the opening* in the wire determines its resistance.
What is Power?
Work is the result of a force creating a displacement. The length of time that this force exerts to generate the displacement has nothing to do with work.
The pace of the process can vary from being completed quickly to taking a while. A rock climber, for instance, takes an unusually lengthy time to raise her body a few meters up the cliff's edge.
Power= I2R, 225 is the power. The amount that the valve is open is reflected by the resistance in the faucet. The diameter of the opening* in the wire determines its resistance.
Therefore, The amount that the valve is open is reflected by the resistance in the faucet. The diameter of the opening* in the wire determines its resistance.
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Three forces of 12, 15, and 20 Newtons are in equilibrium. If the 12 Newton force is directed horizontally to the right, what two configurations in a vertical plane may the other two forces have?
The two configurations in a vertical plane may be:
15 N directed upwards and 20 N directed upwards15 N directed downwards and 20 N directed downwardsWhat is force?Force is a push or pull upon an object resulting from the object's interaction with another object. Forces can cause an object to accelerate or change its velocity. Forces have both magnitude and direction and are measured in units of Newtons (N) in the SI system. Some common examples of forces include gravity, friction, tension, and electromagnetic forces.
Since the three forces are in equilibrium, their sum must be zero. Hence, we have:
12 N + 15 N + 20 N = 0
The 12 N force is directed horizontally to the right, so the other two forces must sum to zero vertically. They can either both be directed upwards or both be directed downwards.
If both forces are directed upwards, then the sum of their magnitudes must equal -12 N vertically:
15 N + 20 N = -12 N
If both forces are directed downwards, then their sum must equal 12 N vertically:
15 N + 20 N = 12 N
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need help please thanks
1. The percentage of incoming solar radiation which reflected and scattered back into space is 30%
2. Yes, solar radiation that is reflected and scattered heat the objects it strikes does.
3. The percentage of incoming solar radiation is 19% absorbed by clouds and gasses in the atmosphere.
4. 51% percentage of incoming solar radiation passes through the atmosphere and is absorbed by the Earth's surface.
5. No. The most transmit or absorb is Earth's surface.
About solar radiationIn a climate system, all processes start from radiant energy coming from the sun onto the surface of the atmosphere (air). Furthermore, this energy is forwarded to the earth's surface where along the way some of it is reflected back into space. Part of it is absorbed by the air and the rest is transmitted to the earth's surface.
Radiation that can reach the earth's surface can eventually heat the earth's surface, evaporate water, melt snow and heat the ground. The changed energy is also sent back into space in the form of radiation.
Variations in the amount of radiation received by the earth's surface and variations in the interaction between the earth and the atmosphere can cause spatial and time variations of energy changes which ultimately determine the climate of a place.
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A picture of a basketball on the left and a bowling ball on the right. The bowling ball is inside a white box.
Anika asks Eva to roll a basketball and then a bowling ball to her. Which requires more force to roll, and why?
The bowling ball requires more force to roll than the basketball. This is because the bowling ball has more mass than the basketball, and therefore more resistance to motion.
Why force is related to mass?Force is related to mass because the force required to move an object is proportional to its mass. This relationship is described by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In mathematical form, this relationship is expressed as:
F = ma
The amount of force required to move an object is proportional to its mass and its velocity. Since the bowling ball has more mass, it requires more force to be applied in order to get it moving, and to keep it moving at a constant velocity. Additionally, because the bowling ball is inside a white box, its rolling friction is higher, further increasing the amount of force required to move it.
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Joe went 4.2 km/h south and then went 4.1 kw/h west. From start to finish, joe went 5.9 kw/h southwest. 1. What are the instantaneous velocities? 2.what is the average velocity?
(1) The instantaneous velocities are 4.2 km/h south and 4.1 km/h west
(2) The average velocity of Joe is 5.9 km/h southwest.
What are the instantaneous velocities?
The instantaneous velocities are the velocities of Joe at any given time period and it is calculated as follows;
v (1 ) = 4.2 km/h south
v ( 2 ) = 4.1 km/h west
The average velocity of Joe is calculated from the ratio of the total displacement to total time of motion.
v (avg) = ( total displacement ) / ( total time of motion )
v (avg) = 5.9 km/h southwest
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Object A is an insulator. Object B is a conductor. Object A is neutral. Object B has a positive charge. Object A is touched to the ground. When the ground is pulled away, what charge do the two objects have?
When the ground is pulled away, the charge that the two objects have is that Object A is now negatively charged and Object B is still positively charged.
How does this work?After touching object A to the ground, object A will have zero charges as it is an insulator and the ground is neutral, so no charges will flow.
Object B still has a positive charge as it is a conductor, and since object A is not connected to it anymore, there will be no transfer of charges between them.
Recall that an insulator is any property that does NOT allow electric charges to pass through them.
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Which of the following are electric insulators?
The examples of electric insulators are -
glass jar, rubber ball, tree, puddle.
What are electric insulators?Electric insulators are the materials that does not conduct electricity through them.
Given are the examples of electric insulators.
The examples of electric insulators are -
glass jar, rubber ball, tree, puddle
Therefore, the examples of electric insulators are -
glass jar, rubber ball, tree, puddle.
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The work function of gold is 5.1eV.
a) How many photoelectrons can you remove from a golden spoon if you leave it for 1 second inside a microwave on? (supposing that the microwave works with radiation of 15cm wavelength and that of its 600W of consumption, it manages to deposit 5% in the spoon).
b) How many can you start from the same spoon using an industrial laser with a power of 42W and 655nm wavelength for one second?
The number of photoelectrons that can be removed from a golden spoon is (30W / c) / (e x 5.1 eV). The amount to start from the same spoon is (42W) / (e x 5.1 eV).
How to calculate photoelectrons?The work function of a material is the minimum amount of energy required to remove an electron from the material.
a) To find the number of photoelectrons removed from the spoon, find the energy deposited in the spoon during 1 second. With 600W of consumption, the spoon receives 5% of this energy, which is 0.05 x 600W = 30W.
To convert this to energy per second, we need to divide by the speed of light, c: E = 30W / c. To convert this energy to electron volts, divide by the charge of an electron, e: E_ev = E / e. Finally, to find the number of electrons removed, divide this energy by the work function of gold, 5.1 eV: n = E_ev / (5.1 eV) = (30W / c) / (e x 5.1 eV),
b) To find the number of photoelectrons removed from the spoon with the industrial laser, find the energy deposited in the spoon during 1 second. With 42W of laser power, the energy deposited in the spoon during 1 second is 42W. To convert this to electron volts, divide by the charge of an electron, e: E_ev = 42W / e. Finally, to find the number of electrons removed, divide this energy by the work function of gold, 5.1 eV: n = E_ev / (5.1 eV) = (42W) / (e x 5.1 eV)
Note: This is a simplified calculation and does not take into account the efficiency of the laser and the absorption of the spoon.
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A car traveling at 3500 m/s is to stop on a 35-meter long shoulder of the road. What minimum deceleration is required?
The minimum deceleration required to stop the car in 35 meters is 40000 m/s^2.
What is deceleration?Deceleration is defined as the decrease in speed as the body moves away from the starting point.
The minimum deceleration required can be calculated using the equation of motion:
d = v^2 / (2 * a)
where d is the distance, v is the initial velocity, and a is the acceleration.
Rearranging the equation to solve for a:
a = v^2 / (2 * d) = (3500 m/s)^2 / (2 * 35 m) = 40000 m/s^2
In conclusion, , the minimum deceleration required to stop the car in 35 meters is 40000 m/s^2.
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Momentum conservation often assumes that the mass of an object remains
constant throughout a process or event. However, a change in momentum can
also occur when mass changes. Consider an automobile with a full tank of
gasoline traveling at a velocity of 88.0 km/h to the east. The mass of the car when
the fuel tank is full is 1292 kg. Suppose that the car travels along a highway that
extends eastward for 600 km. By the time the car has traveled this distance, its
mass is 1255 kg. What is the car's velocity at the end of the journey?
The law of conservation of momentum states that in an isolated system, the total momentum of two or more bodies acting on each other remains constant unless an external force acts on them. Therefore, it cannot create or destroy momentum.
What is the speed of the car at the end of the trip?Velocity is the percentage of time an object moves along a path, and Velocity is the speed and direction of an object's movement.If the car is moving at a constant speed, the car is also moving at a constant speed. The confusion between the two rates, which are actually measured in the same units, is:Velocity is a vector quantity, but velocity is a scalar quantity.This is just Newton's first law. An object at rest will remain stationary and an object in motion will continue to move in the same direction at a constant speed unless an unbalanced force acts on it. The car tends to keep moving at a constant speed and direction because the two forces are canceling (i.e. balanced).To know more about speed visit:
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In your circuit toolbox, you have only three resistors ( 1=60 Ω
, 2=30 Ω
, 3=20 Ω
) and some switches that can be open or closed. Construct a circuit, filling in all four boxes, such that the equivalent resistance between A and B is 80 Ω
.
The required circuit can be constructed by arranging resistor 1 (60 Ω), resistor 3 (20Ω) in one arm and resistor 2 (30 Ω) and open switch in other arm.
What is resistor?A resistor is an electrical component that controls or restricts how much electrical current can pass across a circuit in an electronic device. A specified voltage can be supplied via resistors to an active device like a transistor.
When the circuit be constructed by arranging resistor 1 (60 Ω), resistor 3 (20Ω) in one arm and resistor 2 (30 Ω) and open switch in other arm, the equivalent resistor is = (60 + 20) Ω = 80 Ω.
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Circuits
Calculate the total Resistance, Current, and Power in the circuits
The total resistance of the circuit is 3 ohms.
The total current in the circuit is 4 A.
The power of the circuit is 48 W.
What is the total resistance of the circuit?
The total resistance of the circuit is calculated as follows;
1 / Rt = 1/R1 + 1/R2 + 1 / R3
1/Rt = 1/6 + 1/12 + 1/12
1/Rt = 0.3333
Rt = 3 ohms
The total current in the circuit is calculated as follows;
I = V / Rt
I = ( 12 ) / ( 3 )
I = 4 A
The power of the circuit is calculated as follows;
P = IV
P = ( 4 x 12 )
P = 48 W
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to what temp must 0.588 moles of ammonia gas have to be heated in a 15.0 L container in order for it to exert a pressure of 3,50 kPa?
According to the ideal gas law, 0.588 moles of NH3 gas in a 15.0 L container must be heated to a temperature of 1088.85 K or 815.85°C in order for it to impose a pressure of 3.50 atm.
What is Ideal gas law?Real gases are simplified into ideal gases to make them easier to understand. It is believed to be made up of point particles that move randomly and independently.
Additionally, it is believed that perfect gas molecules by themselves have no volume.
Three state variables—absolute pressure (P), volume (V), and absolute temperature—define an ideal gas (T). The ideal gas law, an equation that relates them, is based on their relationship.
Therefore, According to the ideal gas law, 0.588 moles of NH3 gas in a 15.0 L container must be heated to a temperature of 1088.85 K or 815.85°C in order for it to impose a pressure of 3.50 atm.
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fro the top of a cliff ,100m above the sea level. a stone is thrown vertically upward with a velocity of 30m/s. After how many second and with what velocity will it hot the sea
The time of motion of the stone is 8,5 seconds.
The final velocity when the stone hits the sea is 113.3 m/s.
What is the time of motion of the stone?
The time of motion of the stone is calculated by applying the following formula.
h = vt - ¹/₂gt²
where;
h is the heightv is the initial vertical velocityg is acceleration due to gravity-100 = 30t - ¹/₂(9.8)t²
-100 = 30t - 4.9t²
4.9t² - 30t - 100 = 0
solve using formula method;
t = 8.5 seconds
The final velocity of the stone is calculated as follows;
v = u + gt
v = 30 + ( 9.8 x 8.5 )
v = 113.3 m/s
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15 6. Acar moves with a velocity of 30m/s is accelerated in 6sec find final velocity and the distance during that time
Explanation:
To find the final velocity and distance traveled during the acceleration, we can use the equations of motion:
v = u + at, where v is the final velocity, u is the initial velocity (30 m/s), a is the acceleration, and t is the time (6 s)
v = 30 m/s + a x 6 s
d = ut + 0.5at^2, where d is the distance traveled
d = 30 m/s x 6 s + 0.5 x a x (6 s)^2
Since acceleration (a) is not given, we can use one equation to solve for it and substitute into the other:
v = 30 m/s + a x 6 s
a = (v - 30 m/s) / 6 s
Substitute this into the second equation to find the distance:
d = 30 m/s x 6 s + 0.5 x (v - 30 m/s) / 6 s x (6 s)^2
So, we can find the final velocity and distance traveled once the acceleration (a) is known.
Silver is more costly than iron because it is 1. Heavier 2. Scarcer 3. Whiter 4. Harder 5 ...
Answer:
scarcer
Explanation:
Silver is more costly than iron because it is scarcer as it is found only in some areas of the country... it's a rare element hence it is scarcer and more expensive..
A 25.0 kg bumper car moving to the right at 5.00 m/s overtakes and collides elastically with a 35.0 kg bumper car moving to the right. After the collision, the 25.0 kg car slows to 1.50 m/a to the right, and the 35.0 pkg car moves 4.50 to the right. What was the velocity of the 35.0 pkg car before the collision?
Answer:
Explanation:
To determine the velocity of the 35.0 kg car before the collision, we can use the principle of conservation of momentum. The total momentum of the system before the collision is equal to the total momentum after the collision.
Momentum before collision = Momentum after collision
m1v1 + m2v2 = (m1 + m2)vf
where:
m1 = 25.0 kg (mass of first car)
m2 = 35.0 kg (mass of second car)
v1 = velocity of first car before collision
v2 = velocity of second car before collision
vf = final velocity of the combined cars after collision
Since the first car slows down to 1.50 m/s to the right after the collision, and the second car moves 4.50 m/s to the right, we can write:
vf = (v1 + v2) / 2 = (1.50 + 4.50) / 2 = 3.00 m/s
Substituting the given values into the equation for conservation of momentum, we have:
25.0 kg x 5.00 m/s + m2 x v2 = 60.0 kg x 3.00 m/s
Solving for v2, the velocity of the second car before the collision, we get:
v2 = (60.0 kg x 3.00 m/s - 25.0 kg x 5.00 m/s) / 35.0 kg = 2.14 m/s
So the velocity of the 35.0 kg car before the collision was 2.14 m/s.