Two balls with masses of 2.0kg and 6.0kg traveling at 12ms and 4.0 m/s, respectively. They have a head-on inelastic collision (not perfectly). The 2.0kg moves in the opposite direction with a speed of 8.0 m/s. a. Find the speed of the 6.0kg ball after the collision. B. Find the KE for each ball before and after the collision C. Find the amount of KE that is lost during the collision.
Answers
Answer:
Explanation:
A. To find the speed of the 6.0 kg ball after 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 = 2.0 kg (mass of first ball)
m2 = 6.0 kg (mass of second ball)
v1 = 12 m/s (velocity of first ball)
v2 = 4.0 m/s (velocity of second ball)
vf = final velocity of the combined balls after collision
Since the 2.0 kg ball moves in the opposite direction with a speed of 8.0 m/s after the collision, and the total mass of the two balls is 8.0 kg, we can write:
vf = (m1v1 + m2v2) / (m1 + m2) = (2.0 kg x (-8.0 m/s) + 6.0 kg x 4.0 m/s) / 8.0 kg = 2.33 m/s
So the speed of the 6.0 kg ball after the collision is 2.33 m/s.
B. To find the KE for each ball before and after the collision, we can use the formula:
KE = 0.5mv^2
where:
m = mass of the ball
v = velocity of the ball
For the 2.0 kg ball, the KE before and after the collision is:
KE before = 0.5 x 2.0 kg x (12 m/s)^2 = 72 J
KE after = 0.5 x 2.0 kg x (8.0 m/s)^2 = 32 J
For the 6.0 kg ball, the KE before and after the collision is:
KE before = 0.5 x 6.0 kg x (4.0 m/s)^2 = 48 J
KE after = 0.5 x 6.0 kg x (2.33 m/s)^2 = 20.44 J
C. To find the amount of KE that is lost during the collision, we can subtract the total KE after the collision from the total KE before the collision:
KE lost = KE before - KE after = (72 J + 48 J) - (32 J + 20.44 J) = 40.56 J
So the amount of KE that is lost during the collision is 40.56 J.
Related Questions
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?
Answers
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.
15 6. Acar moves with a velocity of 30m/s is accelerated in 6sec find final velocity and the distance during that time
Answers
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.
need help please thanks
Answers
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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Energy is transmitted from the sun to Earth primarily through radiation, which, like gravitational force, obeys an inverse-square law. Show that the energy input at aphelion is 92% the intensity at perihelion. Does that difference explain the difference in surface temperature from winter to summer? Make a claim and argue from evidence.
Answers
The energy input at aphelion (farthest from the sun) is 92% of the intensity at perihelion (closest to the sun) because of the inverse-square law, which states that the intensity of radiation decreases with the square of the distance from the source.
How is the difference in surface temperature explained?However, the difference in energy input does not solely explain the difference in surface temperature from winter to summer.
Other factors, such as the Earth's axial tilt, atmospheric composition, and cloud cover also play a role in determining the surface temperature.
Evidence from climate models and observations indicate that changes in these factors, especially changes in the number of greenhouse gases in the atmosphere, can have a significant impact on global temperature patterns.
In conclusion, while the inverse-square law affects the intensity of solar radiation, it is not the sole factor in determining surface temperature, and the role of other factors must be considered to fully understand seasonal and climatic variations.
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Air bags are put into cars and other vehicles to reduce injury to passengers. How do these devices reduce injury?
Answers
Answer:
it's there to reduce movement of the passenger if hit.
Explanation:
it's quite simple really, its there because if it wasn't the person would've gone flying through the front window screen.
help me with the following
Answers
(a) The power required by the car climbing the inclined plane at steady speed is 15.554 kW.
(b) The power required by the car when the speed changes is 19.45 kW.
What is the power required for the car?
The power required by a car climbing the inclined plane is calculated as follows;
P = Fv
where;
v is the average velocity of the carF is the force of frictionSince the speed is steady, v = 80 km/h = 22.22 m/s
P = 700 N x 22.22
P = 15,554 W
P = 15.554 kW
When the speed of the car changes from 90 km/h to 110 km/h, the power required is calculated as;
vf = 110 km/h = 30.56 m/s
vi = 90 km/h = 25 m/s
V = ( 30.56 + 25 ) / 2 = 27.78 m/s
P = FV
P = 700 x 27.78
P = 19,446 W
P = 19.45 kW
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In a physics lab, 0.500-kg cart (Cart A) moving rightward with a speed of 92.8 cm/s collides with a 1.50-kg cart (Cart B) moving leftward with a speed of 21.6 cm/s. The two carts stick together and move as a single object after the collision. Determine the post-collision speed of the two carts.
Answers
The speed of the two carts after the collision is 10 m/s.
What is momentum?
Momentum is a measure of an object's motion and is defined as the product of an object's mass and velocity. The SI unit of momentum is kilogram-meters per second (kg m/s).
In physics, momentum is an important concept in the study of motion and is related to the forces acting on an object. According to Newton's second law of motion, the momentum of an object changes when a force is applied to the object. The magnitude of the change in momentum is proportional to the size of the force and the time over which it is applied.
In collisions and other interactions between objects, the total momentum of the system is conserved, meaning that the total momentum before the interaction is equal to the total momentum after the interaction.
initial momentum = mA · vA1 + mB · vB1
final momentum = (mA + mB) · vAB2
Where:
mA = mass of cart A = 0.500 kg
vA1 = velocity of cart A before the collision = 100 m/s
mB = mass of cart B = 1.50 kg.
vB1 = velocity of cart B before the collision = - 20 m/s
vAB2 = velocity of the carts that move as a single object = unknown.
(notice that we have considered leftward as negative direction)
Since the momentum of system remains constant:
initial momentum = final momentum
mA · vA1 + mB · vB1 = (mA + mB) · vAB2
Solving for vAB2:
(mA · vA1 + mB · vB1) / (mA + mB) = vAB2
(0.500 kg · 100 m/s - 1.50 kg · 20 m/s) / (0.500 kg + 1.50 kg) = vAB2
vAB2 = 10 m/s
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What is the volume, in m3, of 10,000 kg of CO2 at 20 ∘C and 1.0atm pressure?
Answers
Answer:
pv=nrt
Explanation:
pv=nrt
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?
Answers
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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A student runs an experiment in which a block of known mass is moving across a horizontal table in an xy-coordinate plane. As the block reaches the origin of the coordinate system, the block explodes into two pieces of masses m1 and m2. During the experiment, the velocity of the block 1.0 second before the explosion and the velocity of the two pieces 1.0 second after the explosion are measured using a motion sensor. Conservation of momentum is applied using the masses of the two pieces. However, when the velocity of the piece of mass m2 is calculated, the measured value is 10% less than the calculated value. Which of the following statements best explains the difference in the calculated and measured velocity?
Responses
Answers
Answer:
The difference in the calculated and measured velocity could be due to the fact that the motion sensor may not have been able to accurately detect the velocity of the block 1.0 second before the explosion due to the sudden change in momentum caused by the explosion. Additionally, the motion sensor may not have been able to accurately detect the velocity of the two pieces 1.0 second after the explosion due to the sudden change in momentum caused by the explosion. This could explain the 10% discrepancy between the calculated and measured velocity.
Explanation:
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.
Answers
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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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
Answers
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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Circuits
Calculate the total Resistance, Current, and Power in the circuits
Answers
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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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
.
Answers
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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A Martian is on Mars, where the acceleration
gravitational is gMars=0.38gEarth, the ball oscillates with a period of 1.5s when it swings like a pendulum. On a trip, the Martian finds himself on a planet where the ball oscillates with a period of 0.92s.
What planet is it on?
First we must find the length of the pendulum:
Answers
The planet that a Martian is on is Earth.
The formula to calculate the period from a simple pendulum
T = 2π × √(L ÷ g)
T ÷ 2π = √(L ÷ g)
(T ÷ 2π)² = L ÷ g
T² ÷ 4π² = L ÷ g
L = (T² × g) ÷ 4π²
the length of the pendulum (m)π = 3.14g = the acceleration due to gravity (m/s²)T = period (s)Compare from pendulum on Mars and another planet
g Earth = gg Mars = g₁ = 0.38 gT on Mars = T₁ = 1.5 sT on another planet = 0.92 sAssume the same pendulum on Mars is the same as the pendulum on another planet. Then the length of the two pendulums is the same.L₁ = L₂g Mercurius = 3.7 m/s²g Venus = 8.87 m/s²g Earth = 9.8 m/s²g Mars = 3.721 m/s²g Jupiter = 24.79 m/s²g Saturn = 10.44 m/s²g Uranus = 8.87 m/s²g Neptune = 11.15 m/s²
L₁ = L₂
(T₁² × g₁) ÷ 4π² = (T₂² × g₂) ÷ 4π²
T₁² × g₁ = T₂² × g₂
1.5² × 0.38g = 0.92² × g₂
2.25 × 0.38g = 0.8464 × g₂
0.855g = 0.8464 × g₂
g₂ = 0.855g ÷ 0.8464
g₂ = 1.0101g
g₂ = 1.0101 × 9.8
g₂ = 9.89
The other planet is Earth.
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Gas in a container is at a pressure of 1.6 x 10^5 Pa and a volume of 4.0 m^3. What is the work done by the gas if it expands at a constant pressure to twice its initial volume?
Answers
Answer: W = 6.4 x 10^5
Explanation: W = P x AV +(1.6x10^5 PA)(4M)
W = 6.4 x 10^5
A bottle of wine known as a magnum contains a volume of 1.5 liters. A bottle known as a jeroboam contains 0.792 U.S. gallons. How many magnums are there in 8 jeroboams?
Answers
Answer:
Explanation: =− And ..=. −=. = =. ( .. . ) ( . ..) =. Therefore = .=
A car traveling at 3500 m/s is to stop on a 35-meter long shoulder of the road. What minimum deceleration is required?
Answers
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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The table to the right shows the time it takes three trucks to go from 0 to 60 km/h
Answers
The quantities that can be compared from four cars is the average acceleration. Answer A.
The question isn't complete. A similar question is in the attachment. When a truck or a car increases its velocity over time, it means it experiences acceleration. The vehicle moves in a non-uniform motion. The formula in non-uniform motion
v = u + atv² = u² + 2add = ut + 0.5at²where
t = time (s)d = distance (m)u = initial velocity (m/s)v = final velocity (m/s)a = acceleration (m/s²)The information in the question that four cars have a different time to travel but have the same
u = 0 km/h = 0 m/sv = 60 km/hv = 60 × 1 km ÷ 1 h
v = 60 × 1,000 m ÷ 3,600 s
v = 16.67 m/sThe formula that connected
v = u + atThe unknown variable is a the acceleration.We can compare the average acceleration of all cars.
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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?
Answers
(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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eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
V.
Answers
Answer:
E+V= Weird
Explanation:
If you subtract "e" repeating from E and V you'll get the equation above.
Please help me with the following problem.
Answers
The equivalent of what mathematicians refer to as a self-adjoint operator in physics is a Hermitian operator.
What are some examples of the Hermitian operator? Mathematicians refer to an object as a self-adjoint operator; this is the physicist's equivalent.This vector space V's linear operator has a positive definite inner product.Following Dirac, the conventional notation for an inner product in physics is a bra and ket.A function f(x) could, for instance, be multiplied by x using the operator x.A is a Hermitian operator2 if we assume that f(x)=2x + 3 and xf(x)=2x2 + 3x satisfy the condition that d is across all space.The equivalent of what mathematicians refer to as a self-adjoint operator in physics is a Hermitian operator.The fundamentals of quantum physics are two properties of hermitian operators.To learn more about Hermitian operator refer
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A 25-kg chandelier hangs from a ceiling on a vertical 4.0-m-long wire.
Part A: What horizontal force would be necessary to displace its position 0.16 m to one side?
Express your answer to two significant figures and include the appropriate units.
Part B: What will be the tension in the wire?
Express your answer to two significant figures and include the appropriate units.
Answers
The horizontal force required to displace the chandelier 0.16 m is equal to the restoring force divided by the displacement is 1500N
What is the horizontal force?A. To displace the position of the chandelier 0.16 m to one side, a horizontal force is necessary to balance the restoring force due to the tension in the wire. This restoring force can be calculated as the weight of the chandelier times the acceleration due to gravity:
Frest = W * g = 25 kg * 9.8 m/s^2 = 245 N
The horizontal force required to displace the chandelier 0.16 m is equal to the restoring force divided by the displacement:
Fhorizontal = Frest / (0.16 m) = 245 N / 0.16 m = 1531 N
Rounding to two significant figures, the answer is:
Fhorizontal = 1500 N
B. The tension in the wire can be calculated as the sum of the forces in the vertical direction, which is equal to the weight of the chandelier:
Tension = W = 25 kg * 9.8 m/s^2 = 245 N
Rounding to two significant figures, the answer is:
Tension = 250 N
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Which of the following are electric insulators?
Answers
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 symbols for speed, distance, and elapsed time are, respectively. * Ax and At. The MKS units of speed, distance, and elapsed time are, respectively, meters per second, meters and seconds. Which of the following equations is incorrect by unit analysis?
Answers
The incorrect equation among them is: Δt = v/Δx.
What is physical quantity?A physical quantity is a property of a substance or system that can be measured and quantified. The algebraic multiplication of a "Numerical value" and a "Unit" can be used to express a physical quantity as a value.
Unit of distance Δx is meter.
Unit of elapsed time Δt is second.
Unit of speed v is meter per second.
Hence, the possible equations among them are:
Δx = vΔt
v = Δx/Δt
Δt = Δx/v
1/Δt = v/Δx
But the incorrect equation among them is:
Δt = v/Δx.
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Your question is incomplete, but most probably the options of the question are:
Δx = vΔt
v = Δx/Δt
Δt = Δx/v
1/Δt = v/Δx
Δt = v/Δx.
In a pipe of 90mm diameter, water is flowing with a mean velocity of 2m/s at a gauge pressure of 350KN/M². Determine the total head, if the pipe is 8m above the datum.
Answers
The total head of the pipe is 430,400 Pa.
What is the total head of the pipe?
The total head of the pipe is the total pressure of the pipe and it is calculated as follows;
Pt = Pi + ¹/₂ρv² + ρgh
where;
Pi is the gauge pressure ρ is density of waterv is the speed of the waterh is the height of the water above the groundPt = ( 350,000) + ¹/₂(1000)(2)² + (1000 x 9.8 x 8)
Pt = 430,400 Pa
Thus, the total head or total pressure of the pipe depends on the density of water, speed of water and height above datum.
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Think about how particles are arranged inside atoms. Please name and describe those three particles, and describe how the particles are arranged inside atoms. Some topics to include are: the charge of the particles, the mass of the particles, and where the particles are located.
Answers
The smallest unit of matter that may be divided without producing electrically charged particles is the atom.
What is Atoms?The rest consists of a positively charged nucleus of protons and neutrons surrounded by a cloud of negatively charged electrons.
The nucleus is small and dense compared with the electrons, which are the lightest charged particles in nature. Electrons are attracted to any positive charge by their electric force; in an atom, electric forces bind the electrons to the nucleus.
It is also the smallest piece of substance with chemical element-like characteristics. As a result, the atom serves as the fundamental unit of chemistry.
Therefore, The smallest unit of matter that may be divided without producing electrically charged particles is the atom.
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A 100 kg person pushes a box up a ramp at constant speed. The mass of the box is 30 kg, the coefficient of kinetic friction between the box and the ramp is 0.2, and the ramp is inclined 25 degrees above the horizontal. The person (new at pushing boxes up ramps) pushes purely in the horizontal direction. HINT: you must draw complete FBDs to receive full credit. a) Find an expression for the magnitude of the normal force on the box due to the ramp. This answer should be left in variables, not numbers. b) Find the magnitude of the force on the box due to the person. c) Each step the person takes requires a force of static friction so that she does not slip. Find the magnitude of the force of static friction on the person due to the ramp. d) Find the minimum coefficient of static friction between the person's shoes and the ramp, so that this feat is possible.
Answers
Since cos(25) is approximately 0.906, the minimum coefficient of static friction is μs >= 0.906
How find the normal force?a) Substituting this into the previous equation, we get:
N - mg * sin(25) = μk * N
Solving for N, we get:
N = mg * sin(25) / (1 - μk)
b) Since the force applied by the person is horizontal, the horizontal component of the normal force must balance it. Therefore,
F = N * cos(25)
Solving for N, we get:
N = F / cos(25) = 0 / cos(25) = 0 N
c) Since the person is not slipping, the friction force must balance the horizontal component of the gravitational force. Therefore,
fs = μs * N
where μs is the coefficient of static friction.
Since N = mg * cos(25),
fs = μs * mg * cos(25)
d)Since cos(25) is approximately 0.906, the minimum coefficient of static friction is
μs >= 0.906
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Particles q₁ = +18.1 µC, q2 = -11.2 μC, and
93 +5.67 μC are in a line. Particles q₁ and q2 are
separated by, 0.280 m and particles q2 and q3 are
separated by 0.350 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
Answers
-27.7 x 10⁶ N is the net force on particle q₂..
Define a charged particle
A particle with an electric charge is said to be charged particle. It might be an ion, such as a molecule or atom having an excess or shortage of electrons in comparison to protons. It could also be an elementary particle like as an electron, proton, or another one that is thought to have the same charge (except antimatter).
F₁₂ = kq₁q₂/r²
k is Coulomb's constant
r is the distance between q₁ and q₂
q represent charges
F₁₂ = (9x 10⁹ x 18.1 x 10⁻³ x 11.2 x 10⁻³)/(0.28)²
F₁₂ = -23* 10⁶ N
F₂₃ = kq₂q₃/r²
F₂₃ = -(9 x 10⁹ x 11.3 x 10⁻³ x 5.67 x 10⁻³)/(0.35)²
F₂₃ = 4.7 x 10⁶ N
F(net) = F₁₂ + F₂₃
= -23* 10⁶ N + -4.7 x 10⁶ N
= -27.7 x 10⁶ N
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4. The Orion Nebula is shown in the Figure below. How long has the light been
traveling from this object before it arrives on Earth? The distance to Orion nebula is
1344ly.
Answers
Light has been traveling from this object before it arrives on earth for 1,500 light-years.
Why is Orion Nebula so bright?
The Orion Nebula, a colourful cloud of gas and cosmic dust, is a star-forming region. The nebula has "a rather brilliant apparent brightness because it is the nearest massive star-forming zone to Earth.
Why was Orion given that name?
The ancient Egyptians believed that the stars in the belt represented the spot where the spirit of the god Osiris would ultimately dwell. To the Arabs, the constellation appeared to be enormous. The mythological Greek hunter Orion is the subject of the constellation's name.
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