The acceleration of the rock half-way between two planets is 1.086 m/s².
What is the acceleration of rock?The parameters provided;
3M radius of planet A.
R mass of planet A.
4M radius of planet B.
2R distance between the two planets,
r = 8R
Newton's universal gravitational law is used to calculate the gravitational force half-way (4R) between the two planets;
Fg = GmAmB/r²\
Fg = G(2M x 4M)/(4R)²
Fg = 12GM²/16R²
Fg = (12 x 6.67 x 10⁻¹¹ x (7.3 x 10²³)²) / 16(5.8 x 10⁶)
Fg = 7.925 x 10²³N
The magnitude of the rock's acceleration is calculated as follows using Newton's second law of motion:
F = ma
a = F/m
a = 7.925 x 10²³/7.3 x 10²³
a = 1.086m/s²
As a result, the rock's acceleration is 1.086 m/s².
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a neon yellow 75g ball is launched at an angle of 50 with the level ground. it has an initial velocity of 15 m/s. assume that there is no air resistance and that the ball lands at the same elevation that it was launched . what is the maximum height that the ball reaches ? what is the reange of the ball ?
The maximum height that the ball reaches is 8.79 m and the range of the ball is 12.29 m
To find the maximum height that the ball reaches, you will need to use the equation for the vertical displacement (y) of the ball:
y = Vy * t - (1/2) * g * t^2
Where Vy is the vertical component of the initial velocity, t is the time elapsed, and g is the acceleration due to gravity.
To find the time at which the ball reaches its maximum height, set the vertical displacement (y) to zero and solve for t:
0 = Vy * t - (1/2) * g * t^2
This equation can be rearranged to:
t = √(2Vy/g)
Then, substitute the given values for the initial velocity (Vy) and the acceleration due to gravity (g), and solve for t:
t = √(2 * 15 m/s * sin(50) / 9.8 m/s^2)
t = 1.16 s
y = Vy * t - (1/2) * g * t^2
y = 15 m/s * sin(50) * 1.16 s - (1/2) * 9.8 m/s^2 * (1.16 s)^2
y = 8.79 m
To find the range of the ball, you will need to use the equation for the horizontal displacement (x) of the ball:
x = Vx * t
Where Vx is the horizontal component of the initial velocity and t is the time elapsed.
To find the time elapsed (t), use the equation for the time at which the ball reaches its maximum height:
t = √(2Vy/g)
Substitute the given values for the initial velocity (Vy) and the acceleration due to gravity (g), and solve for t:
t = √(2 * 15 m/s * sin(50) / 9.8 m/s^2)
t = 1.16 s
To find the horizontal component of the initial velocity (Vx), use the equation:
Vx = V0 * cos(θ)
Where V0 is the initial velocity of the ball and theta is the angle of launch. Substitute the given values for the initial velocity (V0) and the angle of launch (theta), and solve for Vx:
Vx = 15 m/s * cos(50)
Vx = 10.6 m/s
To find the range of the ball, substitute the values for the horizontal component of the initial velocity (Vx) and the time elapsed (t) into the equation for the horizontal displacement (x):
x = Vx * t
x = 10.6 m/s * 1.16 s
x = 12.29 m
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Describe a situation where you have applied a lot of force (and maybe even felt tired afterward) but did no work in the sense we study it in Science class.
An example of no work after the effort is work done by the collie to travel a distance in a straight line by lifting a mass.
What is Work?In physics, the word "work" involves the measurement of energy transfer that takes place when an item is moved over a range by an externally applied, at least a portion of which is applied within the direction of the displacement.
The length of the path is multiplied by the element of a force acting all along the path to calculate work if the force is constant. The work W is theoretically equivalent towards the force f times the length d, or W = fd, to portray this concept.
The amount of work done by the coolie to travel a certain distance in a straight line by lifting a certain amount of mass. Here the work done is zero because when the coolie lifted the mass the force exerted in the upward direction makes an angle of 90° and as per the formula of work done it will be equal to zero.
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Energy is an essential part of our daily lives, but the resources that power the earth are being threatened. Imagine a world where people didn't know how to generate energy. What do you think that world might be like? describe your answer in 4-6 sentences.
If we are not able to produce energy anymore, civilization would come to a stand still.
What is energy?We know that the term energy has to do with the ability to do work. Thus we know that a lot of the processes that occur on the earth does require energy so that it would be able to occur.
Energy has become the pivot of modern civilization. Without the ability to produce energy, we can not be able to have a comfortable life and life on the earth would be found to become quite unbearable.
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A 213 kg crate slides 7.6 m until coming to a stop after being pushed by a large man.
The effective coefficient of kinetic friction between the crate and the surface is 0.37.
Calculate the work done by friction.
A)1,133.16 J
B)772.34 J
C)2,087.4 J
D)5,869.78 J
Answer:D
Explanation:
Should the graphs of Weight vs. Forces of Friction of the shoes be linear? Explain.
Weight being X and Forces of Friction being Y
Graph of weight vs. forces of friction of the shoes would be linear. Greater is the weight (X) of shoes, greater is friction (Y) between the object and the surface on which the object is kept.
What is the graph pf weight vs force of friction?Given let weight being X and forces of friction being Y.
As we know that the gravitational force is equal to mass multiplied by acceleration due to gravity. When mass increases, weight of the shoes (X) increases, therefore normal force increases and so friction (Y) also increases.
Friction is directly dependent on the weight acting between two surfaces. When the mass is more, weight will be more and hence friction will also be more.
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a sodium photoelectric surface with work function 2.3 ev is illuminated by electromagnetic radiation and emits electrons. the electrons travel toward a negatively charged cathode and complete the circuit shown below. the potential difference supplied by the power supply is increased, and when it reaches 4.5 v, no electrons reach the cathode. (a) for electrons emitted from the sodium surface, calculate the maximum kinetic energy, end the maximum speed. (b) calculate the wavelength of the radiation that is incident on the sodium surface. (c) calculate the minimum frequency of light that will cause photoemission from this sodium surface.
(a) The highest possible rate of kinetic energy is -2.2 eV and the highest possible rate of speed is 2.3 × 10⁶ m/s.
(b) The length of the radiation's wave is 86 nm.
(c) The lowest frequency of visible light is 3.5 x 10¹⁴ Hz.
SOLUTION
To solve this problem, we can use the following equations:
- The maximum kinetic energy of the electrons emitted from the sodium surface is given by:
KEmax = Work function - Potential difference
- The maximum speed of the electrons is given by:
vmax = sqrt (2 × KEmax ÷ m)
where m is the mass of the electron.
- The incident radiation wavelength can be calculated using the Planck-Einstein equation:
E = h × f
where E is the energy of the incident radiation, h is the Planck constant, and f is the frequency of the radiation.
- The minimum frequency required for photoemission can be calculated using the work function of the sodium surface:
fmin = Work function ÷ h
- Using these equations, we can calculate the following:
(a) The maximum kinetic energy of the electrons is given by:
KEmax = 2.3 eV - 4.5 V = -2.2 eV
Hence, the maximum kinetic energy is -2.2 eV.
- The maximum speed of the electrons is given by:
vmax = sqrt(2 × (-2.2 eV) ÷ (9.1 × 10⁻³¹ kg)) = 2.3 × 10⁶ m/s
Hence the maximum speed is 2.3 × 10⁶ m/s.
(b) The incident radiation wavelength can be calculated using the Planck-Einstein equation:
E = h × f
f = E ÷ h
f = 2.3 eV / (6.6 × 10⁻³⁴ J × s) = 3.5 × 10¹⁴ Hz
lambda = c ÷ f
lambda = (3.0 x 10⁸ m/s) ÷ (3.5 x 10¹⁴ Hz) = 8.6 x 10⁻⁷ m = 86 nm.
Hence, the wavelength of the radiation is 86 nm.
(c) The minimum frequency required for photoemission can be calculated using the work function of the sodium surface:
fmin = 2.3 eV ÷ (6.6 × 10⁻³⁴ J × s) = 3.5 × 10¹⁴ Hz
Hence, the minimum frequency of light is 3.5 × 10¹⁴ Hz.
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find the ratio of turns on the primary coil to turns on the secondary coil in a transformer that will stop the 110v household voltage down to 4.1 v .
Ratio of turns on the primary coil is 26
Briefing
So to solve for this problem this is computed by the following steps
Vp/Vs (=Np/Ns)
Briefing
Where;
Vp = Voltage primary
Vs = Voltage Secondary
Np =Turn ratio primary
Ns = Turn ratio Secondary
So plugging in our Valves
110/4.1 =Np/Ns
Np/Ns= 26.82
So the answer is 26 Coils
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Bicycle
Bicycle A
Bicycle B
Bicycle C
Bicycle D
Mass (kg)
10 kg
14 kg
18 kg
20 kg
Which vehicle has the greatest acceleration? Why?
Force (N)
45 N
45 N
45 N
45 N
(When it says the labels and info, it’s a table)
Answer:
10
Explanation:
as f=ma
if you make a the subject it becomes f/m=a so when the denominate increases the answer increases
Perhaps you have imagined digging a
tunnel through the earth that comes out the other side. Figure it out ...
How many miles would you have to dig? (Don’t forget to add on the other
side!)
(this is 6th grade science) (;-;)
3,958 miles miles would you have to dig
What is miles?The mile, sometimes the best of international mile or statute mile to distinguish it from the other miles, is a British imperial unit and United States customary to know unit of to the relative distance; both are based on to the older English unit of to the length equal to 5,280 English-english feet, or 1,760 yards.
Well, it depends what you mean by “bottom.” Earth is the ball, so if you wanted to dig in to the center of it, it's 3,958 miles. But if you wanted to dig all the way throughs and pop out the other side, it's twice as far, or 7,916 miles.
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Economics is all about decision making and allocation. Without ___ there would be no need for economics.
a Choices
b. Self-interest
c. Supply
d. Microeconomics
The process of selecting the optimal action to take from a multitude of possibilities can be characterized as decision making.
Meaning of making decisions:
The basic goal of managerial economics is decision-making. The process of choosing the best course of action from among multiple alternatives can be referred to as decision-making. Whenever there are numerous options, decision-making becomes a challenge.
Decision Making and Economics
Well, making decisions affects everyone's life; they are not just for executives or the corporate sector. Whether a person is employed or jobless, making decisions is important to everyone. Regardless of the work you are now doing, a choice needs to be made. You have several choices to make as a participant.
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You are waiting in line to use the diving board at your local pool. While watching people dive
into the pool from the board, you realize that using a diving board to spring into the air before a
dive is a good example of Newton’s third law of motion. Explain how a diving board illustrates
Newton’s third law of motion.
Answer:
because the diving board is helping the diver jump and helping increase the force of the diver's jump, they work together to help the jumper have a jump.
if 8.0 mg of a radioactive substance naturally decays to 0.50 mg over 184 days, what is the half-life of the radioisotope?
46 days is the half-life of the radioisotope.
What is half life of a radioactive substance?The half-life, in radioactivity, is the amount of time needed for half of the atomic nuclei in a radioactive sample to spontaneously transform into other nuclear species while emitting particles and energy, or, alternatively, the amount of time needed for the radioactive sample to disintegrate on average once every second.
The half life of a radioactive substance can be predicted by:
N(t) = N₀(1/2)^[t/t(h)]
N(t) is the amount remaining (mg)
N₀ is the initial amount (mg)
t is the time elapsed, in days
t(h) is the half life in days.
N(t) = N₀(1/2)^[t/t(h)]
or, 0.50mg = (8.0mg)(1/2)^[184 days/t(h)]
Using logs, we can solve this for t(h):
t(h) = 46 days
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The compound formed has a(n) ___________ bond and is a(n) _________________. Responses
Answer:
The compound formed has ionic bonds and is a crystalline solid
Explanation:
A metal plus a nonmetal chemical combine to form an ionic compound, with ionic bonds
It takes 8. 0 seconds for 12 coulombs of charge to flow through a wire. How much current is flowing through it? 0. 67 a 1. 5 a 4. 0 a.
What three conservative double latter
One possible response is WOOLLEN, which is pronounced "double U, double O, double L." The only terms with consecutive triple doubles that are commonly used are BOOKKEEPER (or BOOKKEEPING), which offers a more gratifying solution.
which three double-letter states are there?
If you're looking for a single word with three consecutive letters, "ghi" is the one you desire!
What word has three double letters in it?
An ancient joke asks, "Can you think of a term with three consecutive double letters?" One possible response is WOOLLEN, which is pronounced "double U, double O, double L." The only terms with consecutive triple doubles that are commonly used are BOOKKEEPER (or BOOKKEEPING), which offers a more gratifying solution.
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when the boy realizes he is late for dinner. he doubles his acceleration. whats the forcethat the boy is pulling the wagon now.
When the boy realizes he is late for dinner, he doubles his acceleration. The force that the boy is pulling the wagon now will also be doubled.
What is Newton's first law?
Unless influenced by an imbalanced force, an item at rest stays at rest, and an object in motion keeps moving in a straight path at a constant pace.
An item that is stationary is one that is not shifting or considered the beginning. In such posture, all the forces exerting pressure on it are balanced out or their combined magnitudes are zero.
Based to their inertia, stationary objects which have already balanced forces acting on them prefer to stay that way. When an unbalanced force is operating on a stationary item will it move.
As we continuously increases the force some particular object the acceleration also increases proportionally. so, the mass does not change as the acceleration increases, we can say that force that the boy is pulling the wagon is equal to acceleration. Therefore, if the boy double the force double the acceleration.
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In the ingle particle he'll model the ground tate of a nucleu with an odd proton and neutron i determined from
The spin of the odd particle, which can be inferred by counting energy levels up to the Fermi level, determines the ground-state spin of the nucleus.
What is proton and neutron?A positive-charged subatomic particle is known as a proton. Protons are held together in the atom's nucleus by the strong nuclear force. The neutron is a type of subatomic particle without charge.
subatomic particles with a positive charge that live in the nucleus. Neutrons: Subatomic particles with a neutral charge that are found in the nucleus. Electrons: Subatomic particles with a negative charge that are present in the electron shells that enclose the nucleus.
What is the relationship of protons and neutrons?The positive charge proton have a propensity to reject one another, but the neutrons keep the nucleus together. The quantity of protons determines the atomic number, and the sum of the protons and neutrons determines the atomic mass. The atomic mass of hydrogen is 1, as there is just one proton and no neutrons in the material.
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dielectric breakdown in air occurs when the electric field is approximately 3 × 106 v/m. t or f
There is an air dielectric breakdown (10 mT). This happens when air (a dielectric) breaks down and charges are transferred from the sky to the earth.
How to fix?In an electromagnetic wave, the connection between the strength of the electric and magnetic fields is E=cB.
where E is the size of the electric field.
The speed of light is c.
B is the magnetic field's strength.
E=3.106V/m is the electric field, and c=3.108m/s is the speed of light in this equation.
When we solve for B, we get B=E/c=3.106 V/m/3.108 m/s=0.01T=10mT.
Where is the site of dielectric breakdown?When the electrical voltage across a material is greater than the substance's dielectric strength, dielectric breakdown occurs, leading to partial ionization. When a gas breakdowns, the ionization dramatically diminishes the gas' electrical insulating qualities, producing a spark or an arc.
How does a liquid dielectric breakdown happen?High electric strengths (on the order of 1 MV/cm) and phenomena resembling those for gases control breakdown in highly purified liquid dielectrics. Liquids, which can contain particles, other liquids in suspension, and dissolved gases, are sadly readily polluted.
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A baker pushes a cart full of rolls with a force of 20.0 N for a distance of 4.0 m. How much work does the baker do on the cart?
Answer:
80
Explanation:
You calculate work by W(j)=Force(n) x distance moved (m)
So 20.0 N x 4.0 m = 80.
:)
The work done when a baker pushes a cart full of rolls with a force of 20.0 N for a distance of 4.0 m is 80 Nm.
What is Work done?
The work done by a force can be defined as the product of the displacement of that object and the component of the applied force of the object which is in the same direction as that of displacement. When we push a block with some force 'f' and the body moves with some acceleration, work is done.
W = f × d
where, W = work done,
f = applied force,
d = displacement of the object
W = 20N × 4.0m
W = 80Nm
Therefore, the work done by the baker on that cart is 80 Newton meters.
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Which surfaces tend to have the largest and smallest coefficients of friction? Explain why.
Ice on steel has low coefficient of friction whereas rubber on pavement has high coefficient of friction. Object such as silicone rubber can have a coefficient of friction much greater than one.
Which surfaces have the largest and smallest coefficients of friction?Polytetrafluoroethylene has the lowest friction coefficient of any solid-state material but the coefficient of friction depends on the materials used.
Ice on steel has a low coefficient of friction as the two materials slide past each other very easily whereas rubber on pavement has a high coefficient of friction that is the materials do not slide past each other easily. We can say that rougher surfaces have a higher coefficient of friction.
Coefficient of friction more than one means that the frictional force is stronger than the normal force. An object such as silicone rubber, for example, can have a coefficient of friction much greater than one.
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Supose 1.3 Kg of water are heated from 20 °C to 80 °C. How much energy was transferred to the
water?(Water Specific heat capacity is 4184 J/Kg-°C).
Answer:
Q = (80 - 20) deg C * 1.3 kg * 4184 J / (deg C kg) = 326,000 Joules
Car 1 has a body made from aluminium and car 2 has a body made from steel. Which car is likely to be more prone to corrosion?.
The car that will be more prone to corrosion is the aluminium car (Car1)
What is corrosion?Corrosion is when a refined metal is naturally converted to a more stable form such as its oxide, hydroxide or sulphide state this leads to deterioration of the material.
Most metals are easily oxidized I.e they tend to lose electrons to oxygen or other substances in the air or in water. As oxygen is reduced (gains electrons), it forms an oxide with the metal.
Both aluminium and steel do not rust but steel has better edge to aluminium in resistance to corrosion because steel has chromium which gives it a protective film and excellent corrosion resistance. Moreover steel is non porous substance.
Therefore the aluminum car will be more prone to corrosion.
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The coefficient of static friction between a 17 Kg table and the floor is 0.50. What is the maximum force that can be applied to the table before it starts to slide?
Answer:
Below
Explanation:
Normal force = mg = 17(9.81)
force of friction = normal force * coefficient of static friction
= (17* 9.81 * .5) = 83.4 N
star formation occurs in the halo rather than the disk because there is more visible material in the halo. true false
Star formation occurs in the halo rather than the disk because there is more visible material in the halo this statement is false. The galaxy's disk, which is mostly made of gas, is where stars are formed.
What environment is star creation in?Formation of stars. Molecular clouds, which are relatively dense collections of interstellar gas and dust, are where stars are born. These areas are quite chilly (temperature about 10 to 20K, just above absolute zero). Gases become molecular at these temperatures, which means that atoms are bound together. As a result of the disk's abundance of gas and dust, vigorous star formation occurs there. The spiral arms of the galaxy are where stars develop.
What distinguishes our galaxy's halo and disk populations of stars?All the gas and the young stars are in the disk, but there are also some ancient stars. An aggressive core and elderly stars dominate the bulge. Globular clusters and extremely ancient stars can be found in the halo. An indication of how the Galaxy formed can be found in the cause of this division of star kinds.
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which two measurements are needed in order to calculate the speed of an object in motion?
The two measurements, which are needed in order to calculate the speed of an object in motion, be: amount of distance travelled at a particular time interval and the time interval.
what is speed?The pace at which an object's position changes in any direction is what is meant by speed.
Speed is measured as the ratio of the distance traveled to the time it took to cover that distance. Speed is a scalar quantity since it just has a direction and no magnitude. Be meter/second is the SI unit of speed.
The equation, s = d/t, offers the speed formula.
Where,
s is the speed in m.s⁻¹
d is a representation of the distance in m.
The duration in s is t.
your question is incomplete, but most probably your full question was
Which two measurements are needed in order to calculate the speed of an object in motion?
Distance and time
Time and mass
Force and distance
Volume and time
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if a motorcycle with a mass of 250 kg has a kinetic energy of 200,000 j, what is the motorcycle's speed in m/s?
The motorbike travels at a speed of 40 m/s
What is speed?the speed at which an object's location changes in any direction. The distance traveled divided by the time it took to travel that distance indicates how fast something is moving.
Describe kinetic energy.Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object.
KE = ½ m[tex]V^{2}[/tex]
We have kinetic energy of 200,000 j, mass of 250 kg , so to fine [tex]v^{2}[/tex]
using KE = ½ m[tex]V^{2}[/tex]
kinetic energy will be multiply by 2 and divided by mass
[tex]v^{2}[/tex]= KE / 1/2 * m
[tex]v^{2}[/tex] = 200000 * 2 / 250
[tex]v^{2}[/tex] = 1600
v = [tex]\sqrt{1600}[/tex]
v = 40 m/s
The motorbike travels at a speed of 40 m/s
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What is the acceleration of a 5,000 kg airplane if the plane has four engines that each
have a thrust force of 500N?
The acceleration of the airplane of mass 5000 kg is 0.1 m/s².
What is acceleration?Acceleration is the rate of change of velocity.
To calculate the acceleration of the airplane, we use the formula below.
Formula:
a = F/m.................. Equation 1Where:
F = Forcea = Acceleration m = MassFrom the question,
Given:
F = 500 Nm = 5000 kgSubstitute these values into equation 1
a = 500/5000a = 0.1 m/s²Hence, the acceleration is 0.1 m/s².
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A 16.0 kg canoe moving to the left at 10 m/s makes a head-on collision with a 19.0 kg raft moving to the right at 7.0 m/s. After
the collision, the canoe moves to the right at 1 m/s. What is the velocity of the raft after the collision?
Answer:
Approximately [tex]2.3\; {\rm m\cdot s^{-1}}[/tex] to the left.
Explanation:
When an object of mass [tex]m[/tex] travels at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object will be [tex]p = m\, v[/tex].
Denote motions to the right with a positive sign.
Before the collision:
Velocity of the canoe was [tex](-10)\; {\rm m\cdot s^{-1}}[/tex] since the canoe was moving to the left (opposite to the positive direction.) Momentum of the canoe was [tex]p(\text{canoe, before}) = (16.0\; {\rm kg})\, (-10\; {\rm m\cdot s^{-1}}) = 160\; {\rm kg \cdot m\cdot s^{-1}}[/tex].Velocity of the raft was [tex]19.0\; {\rm m\cdot s^{-1}}[/tex] since the raft is moving to the right (towards positive direction.) Momentum of the raft was [tex]p(\text{raft, before}) = (19.0\; {\rm kg})\, (7.0\; {\rm m\cdot s^{-1}}) = 133\; {\rm kg \cdot m\cdot s^{-1}}[/tex].After the collision:
Velocity of the canoe becomes [tex]1\; {\rm m\cdot s^{-1}}[/tex] (to the right, towards the positive direction.) Momentum of the canoe becomes [tex]p = (16.0\; {\rm kg})\, (1\; {\rm m\cdot s^{-1}}) = 16.0\; {\rm kg \cdot m\cdot s^{-1}}[/tex].Velocity of the raft after the collision needs to be found.Immediately after the collision, momentum [tex]p[/tex] of the canoe and the raft will be conserved. In other words:
[tex]\begin{aligned}& p(\text{canoe, before}) + p(\text{raft, before}) \\ =\; & p(\text{canoe, after}) + p(\text{raft, after})\end{aligned}[/tex].
Rearrange to find [tex]p(\text{raft, after})[/tex] (momentum of the raft immediately after the collision.)
[tex]\begin{aligned}& p(\text{raft, after}) \\ =\; & p(\text{canoe, before}) \\ & + p(\text{raft, before}) \\ & - p(\text{canoe, after}) \\ =\; & (-160\; {\rm kg \cdot m\cdot s^{-1}}) \\ &+ (133\; {\rm kg \cdot m\cdot s^{-1}}) \\ & - (16.0\; {\rm kg \cdot m\cdot s^{-1}}) \\ =\; & (-43)\; {\rm kg \cdot m\cdot s^{-1}} \end{aligned}[/tex].
(Momentum of the raft is negative since the raft is moving to the left, away from the positive direction.)
Divide the momentum of the raft by the mass of the raft to find the velocity of the raft:
[tex]\begin{aligned} \frac{(-43\; {\rm kg\cdot m\cdot s^{-1}})}{(19.0\; {\rm kg})} \approx (-2.3)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
A car, ma 1225 kg, traveling at 105 km/h, low to a top in 53 m. What i the ize of the force that acted on the car
Answer:9700 N
Explanation: i js know
2. Calculate the acceleration of a school bus when a force of 2000 N is applied. The mass is
1000 kg.
Answer:
2m/s square
Explanation:
this means force is the product of mass and acceleration.so a=f/mA=2000N/1000kg A=2m/s squarewhere a is acceleration f is force and m is mass