If the lever is frictionless, to raise the rock a distance of 0.13 m, then the boy has to move the lever to 0.72 m.
An external force that acts upon an object results in a motion of the object, then it is called a work done upon the object by that force.
Given that the external force on a lever is 225 N and on a rock is 1250 N. The distance of motion by the rock is 0.13 m.
Hence the work done by the lever will be equivalent to the work done by the rock to move a particular distance.
Work (Lever) = Work (Rock)
F(lever) x D (lever) = F (rock) x D (rock)
225x D(lever)= 1250 x0.13
D(lever) is 0.72 m
Hence we can conclude that the distance of the motion by the lever is 0.72 m.
To know more about the work:
brainly.com/question/3902440.
#SPJ4
he cars mass was only 111 kg. Suppose two of these cars are used in a stunt crash for an action film. If one car's initial velocity is 9.00 m/s to the right and the other car's velocity is 5.00 m/s to the left, how much kinetic energy is discinated in the crash
In the crash 5883 Joule kinetic energy is discinated when two of these cars are used in a stunt crash for an action film.
How do you use start kinetic energy to calculate end kinetic energy?Final kinetic energy (KE) is equal to 1/2 m1v'12 + 1/2 m2v'22 , or joules. The end kinetic energy for common things will be lower than the starting point. The only way you can increase kinetic energy is if the impact causes an energy release of some type.
How can total kinetic energy be calculated?As a result, the kinetic energy equation states that it is equal to 1/2 the object's mass times the magnitude of its velocity squared, or speed squared.
Initial kinetic energy KE,
[tex]KE=1/2 m_1v_1^2 + 1/2 m_2v_2^2[/tex]
[tex]KE=1/2 (111)(9.00)^2 + 1/2 (111)(5.00)^2[/tex]
[tex]KE= 4495.5+1387.5[/tex]
[tex]KE= 5883J[/tex]
To know more about kinetic energy visit:
https://brainly.com/question/25959744
#SPJ4
In 2009, there were 3,494 radio stations across the united states. Radio became a common device for transmitting and receiving signals?
In the United States, there were 3,494 radio broadcasting stations in 2009. Radio reaches approximately 68 percent of American customers aged 12 and older on average each day, and 236 million people listen to radio every week, according to records.
Since their beginnings at the turn of the 20th century, radio stations in the United States have changed. Following the establishment of 8MK in Detroit in 1920, thousands of private and public radio stations have operated across the country. There are several different ways to organise the lists of radio stations in the US.
The Federal Communications Commission oversees radio transmission in the US (FCC). Various broadcasting services, including the following, have been produced under the AM broadcast band, which runs from 540 to 1700 kHz, is where radio transmission initially gained popularity in the 1920s.
To know more about radio
https://brainly.com/question/15308544
#SPJ4
Which of the following statements regarding heat is accurate? NEED ASAP
Which statements describe properties of stars? Check all that apply.
The properties of stars are: mass, age, distance, metallicity (chemical composition), variability and motion through space.
What is star?An astronomical object known as a star is made up of a bright plasma spheroid that is held together by gravity. The Sun is the star that is closest to Earth.
Other stars are also visible at night with the unaided eye, but because to their great distances from Earth, they appear as stationary points of light. Many of the brightest stars have names, and the most notable stars have been grouped into constellations and asterisms.
Star catalogues have been put out by astronomers that list the known stars and offer standardized stellar labels.
Learn more about star here:
https://brainly.com/question/7379319
#SPJ1
Answer: Stars produce energy through nuclear fusion.
Stars are massive objects composed of gas.
Stars are composed primarily of hydrogen and helium.
P.S can I get the brainiest?
In fact, in the absence of air resistance, the amount of ____ energy when the ball is held motionless above the floor equals the amount of ____ energy at impact with the floor.
the following blanks are gravitational potential energy and kinetic energy
Gravitational potential energy is the energy that an object has due to its position in a gravitational field.It is given by the equation Ep = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. Kinetic energy is the energy an object possesses by virtue of its motion. It is given by the equation Ek = 1/2mv^2, where m is the mass of the object and v is its velocity.
learn more about Kinetic energy here:
https://brainly.com/question/26472013
#SPJ4
1/lambda = R (1/m^2 - 1/n^2) If m =1, in what range are the wavelengths calculated from the generalized formula shown above? and if m =3, in what range are the wavelengths calculated from the generalized formula shown above? microwave (1 to 10^-4m) infrared ( 10^-3 to 7*10^-7m) visible (7*10^-7 to 4*10^-7m) ultraviolet (4*10^-7 to 10^-8m) X rays (10^-8 to 10^-13m)
The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infrared radiations).
The wavenumber of hydrogen spectral series is 1/λ = R(1/m2 – 1/n2)
Rydberg constant, R = 1.097 x 107 m-1
1. When m = 1 and n = 2, 1/λ = 1.097 x 107 x (1/12 – ½2) = 0.822 x 107
Wavelength, λ = 1.215 x 10-7 m
When m = 1 and n = ∞
, 1/λ = 1.097 x 107 x (1/12 – 0) = 1.097 x 107
Wavelength, λ = 0.911 x 10-7 m
The range of wavelength when m = 1 is λ = 0.911 x 10-7 m to 1.215 x 10-7 m (this belongs to ultra-violet radiations)
2. When m = 3 and n = 4, 1/λ = 1.097 x 107 x (1/32 – 42) = 0.0533 x 107
Wavelength, λ = 18.7 x 10-7 m
When m = 3 and n = ∞
1/λ = 1.097 x 107 x (1/32 – 0) = 0.122 x 107
Wavelength, λ = 8.20 x 10-7 m
The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infra-red radiations)
In physics, the wavelength is the spatial duration of a periodic wave—the distance over which the wave's shape repeats. it is the gap between consecutive corresponding points of the same section on the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of each traveling wave and standing wave, as well as other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. Wavelength is normally exact by means of the Greek letter lambda (λ). The time period wavelength is also now and again implemented to modulated waves, and to the sinusoidal envelopes of modulated waves or waves fashioned with the aid of interference of several sinusoids.
Assuming a sinusoidal wave shifting at a set wave speed, the wavelength is inversely proportional to the frequency of the wave: waves with better frequencies have shorter wavelengths, and decreased frequencies have longer wavelengths.
To learn more about Wavelength visit here:
brainly.com/question/13533093
#SPJ4
ANSWER NOW 100 POINTS!!
Allen rides his bike at a constant speed around a circular track. If the radius of the track is 45.0 m and Allen's centripetal acceleration is 5.0 m/s2, what is his tangential speed?
Answer:
a = v2/r, for an object moving with a constant speed, v, around a circle of radius, r. We will also verify that the direction of the acceleration vector is toward the center of the circle.
substitute your numbers into the formula
5.0 = v2/45.0
then cross multiply to get your final answer
Select the correct answer. if you have a heat engine with a hot reservoir of 515 k and a cold reservoir of 190 k, what is the maximum possible thermal efficiency of the system?
a. 63.1%
b. 75.2%
c. 52.1%
d. 67.9%
The maximum possible thermal efficiency of the system is d. 67.9%.
By utilizing the physics of heat engines and Second Law of Thermodynamics, we can calculate that the maximum achievable efficiency of a heat engine with a hot reservoir at 515 k and a cold reservoir at 190 k is 67.9%.
This result serves as an upper limit for all practical engines, regardless of the specifics of their design or engineering capabilities.
Making this maximum efficiency is possible through improvements in technology and increased knowledge on thermodynamics and energy production.
To learn more about thermal, click here:
https://brainly.com/question/19666326
#SPJ4
Answer: A.
63.1%
Explanation: edmentum
According to table 1, which of the following materials is the poorest electrical conductor?
(A) Copper
(B) Aluminum
(C) Graphite
(D) Brass
Graphite: according to table 1, which of the following materials is the poorest electrical conductor.
What is conductor?
Conductor is an electrical device or material that is capable of allowing electric current to flow through it. It is used in a variety of applications ranging from wiring in buildings to the transmission of electricity over large distances.
Conductors are typically made from metals, such as copper and aluminum, but certain types of materials, such as semiconductors, can also act as conductors.
To learn about more What is conductor.
https://brainly.com/question/24154868
#SPJ4
What additional kind of energy makes Cv larger for a diatomic gas than for a monatomic one?
O Charismatic energy
O Translational energy
O Heat energy
O Rotational energy
O Solar energy
Answer:
translational energy
Explanation:
because is diatomic
2. Yvonne van Gennip of the Netherlands ice skated 10.0 km with an aver- age speed of 10.8 m/s. Suppose van Gennip erosses the finish line at her average speed and takes a huge bouquet of flowers handed to her by a fan. As a result, her speed drops to 10.01 m/s. If van Gennip's mass is 63.0 kg, what is the mass of the bouquet
The mass of the bouquet can be calculated using the equation m = F/a. Which is equal to 0.9kg.
Since van Gennip’s speed dropped from 10.8 m/s to 10.01 m/s after she took the bouquet, this indicates that a force was applied to her causing her to slow down.
The applied force can be determined by taking the difference between her final and initial momentum, which is p = mv.
Thus, the applied force can be calculated by F = Δp/Δt.
Plugging in the given values, the mass of the bouquet can be calculated as
m = F/a = (63.0 kg × (10.8 m/s - 10.01 m/s))/10.01 m/s² = 0.9 kg.
Therefore, the mass of the bouquet is 0.9 kg.
Learn more about mass:
https://brainly.com/question/28021242
#SPJ4
What is the hypothesis of thermal energy transfer?
The heat transfer theory attempts to anticipate the energy transfer that may occur between material bodies as a result of temperature differential. Conduction, convection, and radiation are the three processes through which heat may be moved from one location to another.
Heat transfer is a thermal engineering subject that deals with the creation, consumption, conversion, and exchange of thermal energy (heat) across physical systems.
Heat transmission techniques include thermal conduction, thermal convection, thermal radiation, and energy transfer via phase shifts. To achieve heat transfer, engineers also address the transfer of mass of different chemical species (mass transfer in the form of advection), either cold or hot. While these processes have separate properties, they frequently occur in the same system at the same time.
Learn more about thermal energy to visit this link
https://brainly.com/question/18989562
#SPJ4
Body of an earthworm is divided into rings/ metamers. It moves with the help of two muscles: longitudinal and circular muscles. Which of the following activity is done by earthworm during its movement?
(OPTIONs)
→ Swallow the soil it moves
→ Grip the soil firmly at one end
→ Make the soil moist and slippery
→ Break the soil into smaller particles
Swallow the soil it moves and Break the soil into smaller particles.
What is movement in earthworm?They don't have bones or other fixed features that might restrict their movement. The body of an earthworm is segmented. Earthworms use the setae, or tiny bristles, that are present on each segment, to assist them hold the dirt as they travel.
An earthworm uses two distinct sets of muscles to move. Longitudinal muscles run the length of the body, while circular muscles loop around each segment. The earthworm extends as a result of the circular muscles contracting, growing longer and thinner.
The earthworm embeds the front of its body in the dirt using its setae. The earthworm now contracts its longitudinal muscles, either making it shorter and wider.
Therefore, Swallow the soil it moves and Break the soil into smaller particles.
To learn more about Earthworm, refer to the link:
https://brainly.com/question/28690031
#SPJ1
Find the gravitational force between Jupiter and its natural satellite Callisto. The mass of Jupiter is
1.99 x 10^27 kg and the mass of Callisto is 1.08 x 10^23 kg. The distance between Jupiter and
Callisto is 1.88 x 10^9m.
The gravitational force between Jupiter and its natural satellite Callisto is 3.76×10∧21 Newton.
What exactly is the gravitational force?The attraction force that exists in between two masses is directly proportional to the product of their mass and is inversely related to the square of the distance between them, according to Newton's universal law of gravitation.
The mass of Jupiter is 1.99 x 10^27 kg
the mass of Callisto is 1.08 x 10^23 kg
By using the formula
F = G M1×M2/ r²
(G = 6.67×10∧-11 )
F = ( 6.67×10∧-11 ×1.99 x 10^27 × 1.08 x 10^23 ) / (1.88 x 10^9)²
F = (13.28×10∧39)/3.534×10∧18
F =3.76×10∧21 Newton.
To know more about Gravitational force visit ;
brainly.com/question/12528243
#SPJ1
what is the equation linking current, potential difference and voltage
Put your finger over P to compute power; this leaves I and V; hence, P = I x V.
What connection exists between voltage and potential difference?The quantity of current multiplied by the resistance equals the potential difference, which is the same as voltage. One Coulomb of charge uses one Joule of energy to move between two locations in a circuit, which is equal to a potential difference of one Volt.
What is a potential difference?Difference that might exist at all between the two points The amount of work required to move a unit positive charge along any path through one point to another without accelerating is referred to as the electric field.
To know more about electric field:
https://brainly.com/question/8971780
#SPJ1
What is the difference between the weight of an object and the mass of an object?
A body's mass is the total amount of its material. Gravitational pull on a body is represented by weight.
What is the difference between mass and weight?The relationship between mass and weight Mass is a measure of inertia, whereas weight is a measure of force.
Both of these names are frequently used in the same sentence. Calculating how much matter a body contains requires knowing its mass.
Weight is a unit of measurement for the force that gravity's acceleration has on a mass.
Weight is a measurement of how the force of gravity works upon a mass, whereas mass is a measure of the amount of matter in a material.
In order to determine how much matter a body contains, we need to use its mass.
To learn more about mass and weight refer to:
brainly.com/question/1966951
#SPJ4
A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is not a linear function of the position, even with planar geometry, but is given by V(x) = Cx4/3 where x is the distance from the cathode and C is a constant, characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 13. 6 mm and the potential difference between electrodes is 264 V.
(a) Determine the value of C. C = V/m4/3
(b) Obtain a formula for the electric field between the electrodes as a function of x. (Use your result from part(a). Use the following as necessary: x. ) Ex =_________.
(c) Determine the force on an electron when the electron is halfway between the electrodes. F = N
To determine the value of C, we can use the equation provided: V(x) = Cx^4/3, where x is the distance from the cathode. V(x) = C(13.6 mm)^4/3 = 264V. So, C = 264V / (13.6mm)^4/3
How do you obtain a formula for the electric field between the electrodes as a function of x?To obtain a formula for the electric field between the electrodes as a function of x, we can use the equation: Ex = -dV/dx
Substituting the equation for V(x) and the value of C obtained in part (a) into the equation:
Ex = -dV/dx = -(d/dx)(Cx^4/3) = -(4/3)Cx^(4/3)
How do you Determine the force on an electron?To determine the force on an electron when the electron is halfway between the electrodes, we can use the equation: F = qE
where q is the charge of the electron and E is the electric field at that point. Since the force on an electron is equal to the electric field multiplied by the charge of the electron, we can substitute the value of E obtained in part (b) and the charge of the electron, 1.6 x 10^-19 C, into the equation
F = qE = (1.6 x 10^-19 C) * (-(4/3)C
Learn more about electric field from the given link.
brainly.com/question/19878202
#SPJ4
If you pound a feather with a hammer, which one feels a greater force? a. always the hammer both feather moves, then it felt the greater force. b. therwise the force the same on both. c. always the feather d. The size of the force is always exactly the same on both of them.
If you pound a feather with a hammer, which one feels a greater force always the hammer both feather moves, then it felt the greater force.
What is the force?
Force is an influence that produces a change in the motion of an object. It is measured in units of mass times acceleration, or newtons (N). Force is a vector quantity, meaning it has both magnitude and direction. Force can cause an object to accelerate, decelerate, remain in motion, change direction, or alter shape. Examples of forces include gravity, friction, tension, and magnetism. Forces can also be generated by electrical, thermal, and nuclear energy. All forces are generated by the interaction of two objects and can be balanced or unbalanced. Unbalanced forces will cause an object to move or accelerate and balanced forces will cause an object to remain stationary or in motion at a constant speed.
To learn more about force
https://brainly.com/question/12785175
#SPJ4
A long string is stretched and its left end is oscillated upward and downward. Two points on the string are labeled A and B. Points A and B are indicated on the string. Orient the two vectors, vA-> and vB-> to correctly represent the direction of the wave velocity at points A and B. rotate the given vectors to indicate the direction of the wave velocity at the indicated points. (Please draw a picture of the end result)
A lengthy string is simple to stretch. The string's two designated spots, A and B, should be at an angle of 90 degrees with the same magnitude, and B should be at an angle of 270 degrees with the same magnitude.
Angle magnitude definition
This is referred to as the amount of rotation that is believed to have been applied to one of the arms' vertex in order to produce a specific position for the other.
It is well known that equal vectors have the same magnitude and direction. When the magnitude and direction of two vectors are the same, they are said to be equal.
|v|=a2+b2 yields the magnitude. Depending on the application, the direction is equal to the angle made with the x-axis or the y-axis.
To learn more about Angle magnitude from given link
https://brainly.com/question/26132809
#SPJ4
Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100.0 m each. If Margy is walking at 1.4 m/s and accelerates at 0.20 m/s2 during one of the running portions, what is her final velocity at the end of the 100.0 m
She moves at 6.5 m/s as her final speed after running 100 meters.
Acceleration or velocity, according to m/s 2?The velocity change of an object per unit of time is known as acceleration. Amounts of acceleration are measured in meters per second squared (m/s2), the SI unit of acceleration. For instance, due to Earth's gravity, a falling object accelerates at a rate of 9.8 m/s2.
A straight-line motion issue looks something like this. These formulas are used to determine the final velocity:
s = Vo*t + (1/2)*a*at2, and Vf = Vo + at
Where:
Vf = = final speed =?
1.4 m/s is the initial velocity, and 0.20 m/s is the acceleration.
100m displacement in 2 seconds.
the first equation is changed by:
100 = 1.4t + (1/2)*0.2*t^2\st = 25.388s
Vf = 1.4 + 0.2 can be used as a replacement in the second equation.
Vf = 6.5m/s
To know more about cardio exercise visit:-
https://brainly.com/question/1311324
#SPJ4
A student gathered two boxes of the same size made of different materials: glass and clear plastic. She placed them on a windowsill in the sun for an hour, and then measured the temperature of the air in each box. What is the temperature of the air in this experiment
According to the given statement The temperature of the air in this experiment is dependent variable.
What do you mean by a material?Material refers to a thing that something else is made out of. Material can also refer to cloth or can be used to describe something that is made of matter and exists in the physical world. Material has many other senses as a noun and an adjective.
What is an example of a material?A material is any substance that an object is made from. Glass, chalk, paper, wax, water, air, clay and plastic are all different materials. All materials are made up of matter.
To know more about material visit:
brainly.com/question/9176437
#SPJ4
If the material fails when the average normal stress reaches 120 psi, determine the largest centrally applied vertical load p the block can support
Determine the highest centrally applied vertical load p the block can support if the material breaks when the average normal stress reaches 120 psi.
What is meant by material?Objects are made of material, which is a substance or combination of substances. Material can be either pure or impure, made of living things or inanimate objects. Materials can be categorized based on their chemical and physical makeup, as well as their geological or biological origin.The term "material" describes a substance used to create another object. Cloth or other things made of matter that are real-world objects are likewise considered to be materials. The adjective and noun material can be used in a wide variety of contexts.Students can choose to specialize in materials physics as part of their physics degree, which prepares them for high-tech jobs in fields including optical fibers, alternative energy sources, communications, transportation, electronics, and medicine.To learn more about material refer to:
https://brainly.com/question/27813161
#SPJ4
A car at rest with respect to a building can be in motion with respect to another observer. True/False. Please explain your answer
Electricity travels in closed circuits, and its normal route is through a conductor. Electric shock occurs when:
Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.
What do you mean by "electric shock"?
Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit. This can happen when the person comes into contact with a live conductor, such as a wire carrying an electrical current, or when the person becomes part of the circuit, such as by touching both a live wire and a ground.
Electric shock can cause a range of symptoms depending on the severity and duration of the exposure, including muscle contractions, burns, internal injuries, and in severe cases, cardiac arrest or death. Electric shocks can also cause electrical burns which can be serious.
When a person comes into contact with a current, it can cause an electric shock, which can range in severity from a mild tingling sensation to severe injury or death. Factors that determine the severity of an electric shock include the amount of current flowing through the body, the duration of contact with the current, and the path the current takes through the body.
It is important to note that Electric shock can be prevented by following safety guidelines and by using proper safety equipment when working with electrical equipment and circuits.
Hence, Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.
To learn more about electric shock from the given link:
https://brainly.com/question/14980202
#SPJ4
Two charged particles are located on the x axis. The first is a charge +Q at x = -a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a magnitude of 2keQ / a2. What are the two possible values of the unknown charge?
I honestly have absolutely no idea where to begin solving this problem. I know the equation for the electric field (kQ/r2), but I have no idea how to work with the information given to get a net electric force. Can anyone show me where to start?
Two charged particles are located on the x axis.
What are charged particles?
Charged particles are particles that have either a positive or negative electrical charge. These particles can be found in many forms in nature, such as electrons, protons, and ions. These particles are a key component of electricity, and can be used as a source of energy. Charged particles can be found in atoms and molecules, where they interact with other particles and affect their behavior. They can also be found in plasma, a state of matter that is made up of ions and electrons.
1. Start by writing out the equation for the electric field at the origin:
E = (kQ)/r^2
2. Substitute in the values for Q, k, and r, and solve for the unknown charge:
E = (2keQ)/a^2
E = (2k(+Q))/(3a)^2
+Q = (2kE)/(3a)^2
Since the electric field has a magnitude of 2keQ / a2, the unknown charge can be either positive or negative:
+Q = ±(2kE)/(3a)^2
To know more about charged particles,
https://brainly.com/question/10183222
#SPJ4
two students are sitting next to each other on chairs with wheels. They push each other and separate in opposite directions. The student with a mass of 48 kg moves to the left with a velocity of 1.8 m/s. How fast and in what direction does the other student with a 59-kg mass move?
The student with a 59-kg mass moves to the right with a velocity of 1.46 m/s.
What is law of conservation of momentum?According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced.
The student with a mass of 48 kg moves to the left with a velocity of 1.8 m/s.
Let the student with a mass of 59 kg moves to the left with a velocity of v m/s.
As no external force applied,
48 kg × 1.8 m/s + 59 kg × v = 0
v = - 1.8 × (48/59) m/s
= - 1.46 m/s.
Hence, the velocity of the second bay is 1.46 m/s in right direct.
Learn more about momentum here:
https://brainly.com/question/24030570
#SPJ1
how many electrons are on the move in a circuit where a current of 2.0 A flows for 2.0 minutes?
The number of electrons that move in a circuit where a current of 2.0 A flows for 2.0 minutes will be [tex]1.5X10^2^2[/tex]. The correct option is C.
What is current?Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The capital letter I is a typical way to represent current.
A current of 2A passes through a wire for 20 minutes. The number of electrons that crossed the cross-section in this period is
Given that,
Current =2A
Time t= 20min = 20×60s
Let,
n and e be the number and charge of electrons in time t.
So,
The total charge, q(say) in the wire is
q = ne
Hence, the current flowing in time t is
I = q/t
I = ne/t
n = It/e
[tex]n=\frac{2(20X60)}{1.6X10^{-19}} \\\\n=\frac{2400}{1.6X10^{-19}}\\\\n=1.5X10^{22}[/tex]
Thus, the answer is [tex]1.5X10^2^2[/tex], means the correct option is C.
For more details regarding current, visit:
https://brainly.com/question/13076734
#SPJ1
Your question seems incomplete, the missing options are:
[tex]1.5X10^{21}\\\\1.5X10^{20}\\\\1.5X10^{22}\\\\1.5X10^{21}\\\\1.5X10^{23}[/tex]
A grocery shopper tosses a(n) 9.0 kg bag of rice into a stationary 19.1 kg grocery cart. The bag hits the cart with a horizontal speed of 6.7 m/s toward the front of the cart. What is the final speed of the cart and bag
The speed with which the cart and bag move after the collision is equal to 2.14 m/s.
Given the following data:
Mass of bag = 9.0 kg
Speed of bag = 6.7 m/s
Mass of cart = 19.1 kg
Speed of cart = 0 m/s (since it is initially at rest or stationary).
To calculate the final speed with which the cart and bag move after the collision:
Applying the law of conservation of momentum, the collision between the cart and bag is given by the formula:
Where:
M is the mass.
V is the velocity.
Substituting the given parameters into the formula, we have;
9.0 × 6.7 + 19.1 × 0 = Vf (9+19.1)
60.3 = vf (28.1)
vf = 60.3/28.1
vf = 2.14 m / s
To know more about speed of the cart visit:
https://brainly.com/question/15104105
#SPJ4
2. An airboat with mass 3.50 x 102 kg, including the passenger, has an engine that produces a net horizontal force of 7.70 x 102 N, after accounting for forces resistance. a. Find the acceleration of the airboat b. Starting from rest, how long does it take the airboat to reach a speed of 12.0 m/s2
The acceleration of the airboat which has a mass of 350 kg is 2.2 m/s²
The time the airboat takes to reach the speed of 12 m/s is 5.45 seconds
The mass of the airboat = 350 kg
The net horizontal force of the airboat = 770 N
The acceleration of the airboat can be found using the formula,
F = ma
where F is the force
m is the mass
a is the acceleration
Let us rearrange the above equation, we get
a = F/m
Let us substitute the known values in the above equation, we get
a = 770 / 350
= 2.2 m/s²
The time taken to reach the speed of 12 m/s is
a = v/t
where a is the acceleration
v is the velocity
t is the time taken
Let us rearrange the equation, we get
t = v/a
Let us substitute the known values in the above equation, we get
t = 12 / 2.2
= 5.45 seconds
Learn more about the force in
https://brainly.com/question/15321240
#SPJ4
a person who believes that nothing is known or can be known of the existence or nature of God or of anything beyond material phenomena; a person who claims neither faith nor disbelief in God.