Block 1, of mass m1, moves across a frictionless surface with speed ui. It collides elastically with block 2, of mass m2, which is at rest (vi=0). (Figure 1)After the collision, block 1 moves with speed uf, while block 2 moves with speed vf. Assume that m1>m2, so that after the collision, the two objects move off in the direction of the first object before the collision. What is the final speed vf of block 2?

Answers

Answer 1

The conservation of the momentum allows to find the velocity of the second body after the elastic collision is:

           [tex]v_f = \frac{2u_o}{1- \frac{m_2}{m_1} }[/tex]  

the momentum is defined by the product of the mass and the velocity of the body.

        p = mv

The bold letters indicate vectors, p is the moment, m the mass and v the velocity of the body.

If the system is isolated, the forces during the collision are internal and the it  is conserved. Let's find the momentum is two instants.

Initial instant. Before crash.

      p₀ = m₁ u₀ + 0

Final moment. After crash.

      [tex]p_f = m_1 u_f + m_2 v_f[/tex]  

The momentum is preserved.

      p₀ = [tex]p_f[/tex]  

      [tex]m_1 u_o = m_1 u_f + m_2 v_f[/tex]  

Since the collision is elastic, the kinetic energy is conserved.

      K₀ = [tex]K_f[/tex]

      ½ m₁ u₀² = ½ m₁ [tex]u_f^2[/tex]  + ½ m₂  [tex]v_f^2[/tex]  

       

Let's write our system of equations.

       [tex]m_1 u_o = m_1 u_f + m_2 v_f \\m_1 u_o^2 = m_1 u_f^2 + m_2 v_f^2[/tex]

       

Let's solve

       [tex]u_f = u_o - \frac{m_2}{m_2} \ v_f \\u_f^2 = u_o^2 - \frac{m_2}{m_1} \ v_f^2[/tex]

       

       [tex]( u_o - \frac{m_2}{m_1} v_f)^2 = u_o - \frac{m_2}{m_1} \ v_f^2 \\u_o^2 - 2 \frac{m_2}{m_1} \ u_o v_f + (\frac{m_2}{m_1} )^2 v_f^2 = u_o^2 - \frac{m_2 }{m_1} \ v_f^2[/tex]  

         

        [tex]2 \frac{m_2}{m_1} \ u_o = \frac{m_2}{m_1} v_f \ ( 1 - \frac{m_2}{m_1}) \\v_f = \frac{2u_o}{1-\frac{m_2}{m_1} }[/tex]

In conclusion, using the conservation of momentum, we can find the velocity of the second body after the elastic collision is:

           [tex]v_f = \frac{2u_o}{1-\frac{m_2}{m_1} }[/tex]  

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Block 1, Of Mass M1, Moves Across A Frictionless Surface With Speed Ui. It Collides Elastically With

Related Questions

The table shows the diameters of the planets in our solar system. Assume that a basketball whose diameter is 25
centimeters represents the planet Jupiter. Find the scale (ratio) between Jupiter and the basketball. Then use this ratio to
find the scaled diameter of the other planets. Enter these numbers into the table. (Saturn has been done for you.) Finally,
choose a real-world spherical or nearly spherical object that matches the scaled diameter of each planet.
Saturn is shown as an example. To find what Saturn's size would be after adjusting it to scale, follow these steps. Let the
scaled diameter of Saturn be d centimeters. If Jupiter's diameter, 142,984 kilometers, is scaled to 25 centimeters, Saturn's
diameter of 120,536 kilometers will be scaled to about 21 centimeters:
120,536
d
120,536x25
142,984
d ~ 21 cm
Use this process to complete the table.
142,984
25

Answers

Answer:

Mercury:

.85

pea

Venus:

2.1

gumball

Earth:

2.2

gumball

Mars:

1.2

marble

Uranus:

9

grapefruit

Neptune:

8.6

softball

Explanation:

I have no clue if I'm right but hopefully, I am

Composition varies in the asteroid belt. Inner-belt asteroids tend to be rich in ____. Outer-belt asteroids tend to be rich in ____.

Answers

Inner-belt asteroids tend to be rich in SILICATE, whereas outer-belt asteroids tend to be rich in CARBON. An asteroid is a rocky object (much smaller than a planet), which orbits around the Sun.

The asteroids are composed of different elements (e.g., carbon, nitrogen, hydrogen, oxygen, silicate, etc).

The asteroid belt is a region in the Solar System, located between the orbits of Mars and Jupiter.

The size of the asteroids localized in the asteroid belt range from a few meters to almost 1000 kilometers (km) wide.  

Approximately half mass of the asteroid belt is composed of only four asteroids (i.e., Ceres, Vesta, Pallas, and Hygiea).

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Please help thank you!

Answers

Answer:

mass, weight

Explanation:

mass is constant, and weight is dependant on your location

Answer:

I think d

Explanation:

because distance j

has to be the last one that's the only one with distance

part 2 of 2
With what speed does the stone strike the
water?
Answer in units of m/s.

Answers

Hi there!

We can begin by finding the final VERTICAL velocity of the ball.

Use the following kinematic equation: vf² = vi² + 2ad

The ball does not have any initial velocity in the vertical direction so:

vf² = 2ad

Plug in given values:

vf² = 2(9.81)(44) = 29.38 m/s

Find the TOTAL speed using the pythagorean theorem (involving both the horizontal velocity which remains the same and vertical velocity)

v = √(21²) + (29.38²) = 36.115 m/s

three cars with identical engines and tires start from rest, and accelerate at their maximum rate. car x is the most massive, and car z is the least massive. which car needs to travel the farthest before reaching a speed of 60 mi/h?

Answers

Answer:  The most massive car, x, will take the longest to reach 60 mph.

Explanation:  The inertia of a car is dependent on its mass.  F=ma.  Given that each car has the same force (identical engines) the one with the higher mass will accelerate more slowly.

4. A force of 50 Newtons is applied to a mass resulting in an acceleration of 8 m/s2. What force would need to be applied to this mass to cause an acceleration of 25 m/s??​

Answers

Answer:

125N

Explanation:

force =mass×acceleration

50 =mass×8m/s2

mass=6.25kg

Select two of Earth's spheres and explain how they interact with each other.
atmosphere, biosphere, cryosphere, geosphere and hydrosphere
HELPPPPPPPP!!!!!

Answers

Answer and Explanation: The geosphere interacts with the cryosphere when glaciers and sheets of ice from the cryosphere erode the rocks located on the geosphere. This happens as ice passes over the land and carries eroded rocks to new locations. The cryosphere can also cause soil to become icy and take hold of greenhouse gases from the atmosphere. The geosphere is the part of the Earth that has rocks, minerals, sand, and lava. The cryosphere has frozen water, ice, and glaciers. The cryosphere also interacts frequently with the hydrosphere because it draws water from the hydrosphere and freezes it during cold temperatures. Warmer temperatures cause the cryosphere to melt and release water back to the hydrosphere.

2. A bowling ball is dropped off a 300 meter high bridge. A water bottle is dropped from
the same position 3 seconds later. How high above the ground is the water bottle, when the
bowling ball has a speed of 64 m/s? *
(2 Points)

Answers

0 because I said so this is hard

A bowling ball is dropped off a 300 meter high bridge. A water bottle is dropped from the same position 3 seconds later. the ground is the water bottle, when the bowling ball has a speed of 64 m/s is zero.

what is speed ?

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

The formula of speed is represented as s=d/t, Where, s is the speed in m.s-1, d is the distance traveled in m, t is the time taken in s

There are four types of speed such as Uniform speed, Variable speed, Average speed, Instantaneous speed

Uniform speed is an uniform speed when the object covers equal distance at equal time intervals, variable speed is defined as when the object covers a different distance at equal intervals of times.

Average speed is defined as the uniform speed the ratio of total distance travelled by an object to the total time taken by the object.

Instantaneous speed is defined as an object is moving with variable speed, then the speed at any instant of time is known as instantaneous speed.

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#SPJ2

A 4.6 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.8 m/s 2 . If the upward acceleration of the bucket is 3 m/s 2 , find the force exerted by the rope on the bucket. Use g

Answers

Hi there!

If we sum the forces acting on the bucket:

∑F = T (upward) - Mg (downward)

Thus:

ma = T - mg

We can rearrange for T:

ma + mg = T

Plug in the given values:

4.6(3 + 9.8) = T = 58.88 N

More potential energy can be stored by moving against the magnetic force closer to a magnet?

Answers

Answer:

if your saying can it? then yes or if you are asking what type of magnetic force  then its fr its actual self magnetic force

Explanation:

what is the magnitude of the torque that the axle must apply to prevent the disk from rotating?

Answers

The required torque at the axle, is given by the difference between the

moments of the applied forces.

The torque required is 19.62 N·m counterclockwise

Reasons:

The given parameters are;

Mass of the disk, m = 5.0 kg

Location of the axle = Half the radius of the disk

Diameter of the disk, D = 40 cm = 0.4 m

Applied mass, 0.1 m from the axle = 15 kg

Applied mass, 0.3 m from the axle = 10 kg

Required:

Magnitude of torque at the axle that prevent the disk from rotating

Solution:

Torque needed = Clockwise moment - Counterclockwise moment

Clockwise moment = (10 kg × 0.3 m + 5 kg × 0.1 m) × 9.81 m/s² = 34.335 N·m

Counterclockwise moment = 15 kg × 0.1 m  × 9.81 m/s² = 14.715 N·m

τ + Counterclockwise moment = Clockwise moment

τ + 14.715 N·m = 34.335 N·m

Torque required, τ = 34.335 N·m - 14.715 N·m = 19.62 N·m

Torque required, τ = 19.62 N·m counterclockwise

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The probable question drawing obtained from a similar question online is attached

A ____ is believed to occur when energy, stored in a twist in the solar magnetic field above a sunspot, is suddenly released.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

A solar flare is believed to occur when energy, stored in a twist in the solar magnetic field above a sunspot, is suddenly released.

Un automóvil aumenta su rapidez cuando está en una pista circular. ¿Tieneaceleración centrípeta? ¿Tiene aceleración angular? Explique.

Answers

Explanation:

espero que re ayude esta información para tu pregunta

how does the hypothesis of inflation account for the existence of the seed of density from which galaxies and other large structures formed

Answers

Inflation would have caused random, microscopic quantum fluctuations to grow so large in size that they became the seeds of structure.

10. Which of the following will happen to the respiratory-associated muscles if you were to blow up a balloon?
A. Diaphragm contracts, Internal intercostal would relax
B. Diaphragm would contract, external intercostal would relax
C. Internal intercostal and abdominal muscles would contract
D. External intercostal would contract and diaphragm would relax​

Answers

Answer:

C

for sure

go for it

..............

Your answering would be B

about how much more energy is released in a 6.5 richter magnitude earthquake than in one with magnitude 5.5?

Answers

Answer:

For example, an earthquake of magnitude 5.5 releases about 32 times as much energy as an earthquake measuring 4.5. Another way to look at this is that it takes about 900 magnitude 4.5 earthquakes to equal the energy released in a single 6.5 earthquake.

Explanation:

OK I have tried answering this for a while but im not very good at this so, how many waves will pass in 1 second if it has a frequency of 10 Hz?

Answers

Frequency means waves passing per second. So 10Hz means 10 waves passing a second

How do you change an object's motion?

Answers

Forces cause all motions. Every time the motion of an object changes, it's because a force has been applied to it. Force can cause a stationary object to start moving or a moving object to change its speed or direction or both. A change in the speed or direction of an object is called acceleration.

Plzzzz help mee plzzzz help meeee

Answers

Answer:

1 $1260.00-$700.00=$560.00

2 $700.00/$1260.00*100= approximately 55.6%

Explanation:

* this sign means Multiplication

an empty bottle weight 22.4 g when empty,406g when filled with water and 52.8g when filled with liquid x​

Answers

Answer:

question is incomplete

calculate the relative density of a block having dimension 4m x 3m x 2m given its mass in 48000g​

Answers

Answer:

in the picture

Explanation:

CARRY ON LEARNING

Sachi wants to throw a water balloon to knock over a target and win a prize. The target will only fall over if it is hit with a force of 0. 035 N. The water balloon has a mass of 11. 4 grams. How fast will Sachi have to make the water balloon accelerate to hit the target with enough force and win the prize? Round the answer to the nearest one tenth m/s2. The water balloon must accelerate m/s2.

Answers

Hi there!

We can use the following equation (Newton's Second Law):

∑F = ma

m = mass of object (kg)

a = acceleration (m/s²)

We can rearrange to solve for 'a':

F/m = a

Remember to convert grams to kg.

1000g = 1 kg

0.035/(0.0114) = 3.07 m/s²

plzz explain how it is 66 m
i know that distance =speed × time so how it is 66 m not a
0.4 and if there us another rule plz explain like if u day that 1/2 ×speed ×time plz explain why u used 1/2 or when do I use the 1/2 rule ​

Answers

Hi there!

For someone to hear an echo, the sound must echo and bounce back to the person.

Thus, the sound travels TWICE the distance from the person to the wall (to the wall and back).

We know that:

d = st  (distance = speed × time)

Let L = distance from person to wall

Thus:

2L = st

2L = 330 × 0.40

2L = 132

L = 66 m

the temperature of a room is 77°F what would be the temperature in Celsius scale​

Answers

Formulas change from F to degree C : C = ( F - 32 )/1.8

so we have (77-32)/1.8 = 25 oC

ok done. Thank to me :>

Answer: The answer is C. 298 K

Explanation:

11. A box with a mass of 1.0 kg is resting on a horizontal surface and the coefficient of friction between the block and the surface is 0.20. It is accelerated by attaching a 1.5 kg mass, as shown in the diagram. Assume that the pulley is frictionless and that the cord has negligible mass.
a. What is the acceleration of the box? What is the tension?

Answers

Answer:

We know that the force pulling the box in the positive x direction has a magnitude of m g sin 30 . Using Newtons Second Law, F = ma , we just need to solve for a :

ma=mgsin30

a=gsin30

=(10m/s2)(0.500)

=5m/s2

Answer:

A force is applied acting to the right. Assume that friction is negligible. Ikg 0.5N. For each question, one or more features of the system.

Explanation:hope this helps

the graph below shows the densitys of rock

Answers

Explanation:

The terms heavy and light are commonly used in two different ways. We refer to weight when we say that an adult is heavier than a child. On the other hand, something else is alluded to when we say that rock is heavier than soil. A small rock would obviously weigh less than a roomful of soil, but rock is heavier in the sense that a rock of given size weighs more than the same-size sample of soil. What we are actually comparing is the mass per unit volume, that is, the density. In order to determine these densities, we might weigh a cubic centimeter of each sample. If the rock sample weighed 2.71 g and the soil 1.20 g, we could describe the density of the rock as 2.71 g cm–3 and that of the soil as 1.20 g cm–3. Even though sand is made of rock fragments, its density is less because the porosity of sand lowers its bulk density (as shown below). (Note that the negative exponent in the units cubic centimeters indicates a reciprocal. Thus 1 cm–3 = 1/cm3 and the units for our densities could be written as g/cm3, or g cm–3. In each case the units are read as grams per cubic centimeter, the per indicating division.) We often abbreviate "cm3" as "cc", and 1 cm3 = 1 mL exactly, by definition.

Table 1 : Density of Soils and Rocks

sand

1.52

sandy loam

1.44

loam

1.36

silt loam

1.28

clay loam

1.28

clay

1.20

amphibolite

2.79–3.14

dolomite

2.72–2.84

gneiss

2.59–2.84

limestone

1.55–2.75

marble

2.67–2.75

schist

2.73–3.19

shale

2.06–2.67

slate

2.72–2.84

pyrite

5.0

gold

Find the acceleration if the force is 10 N and the mass is 5000 g.

Answers

Answer:

If the force is 10N and mass is 5000G, then a=2m/s2

Explanation:

F=10N

m=5000

g=5kg

a=10N/ 5kg

and finally; a= 2m/s2

Which is required for
conduction?


A.moving fluids

B. Two substances in direct
contact with one another

C. Two substances in close proximity, but not necessarily touching

Answers

Answer:

You need (B) Two substances in direct contact with one another to have conduction.

I hope this helped at all.

a trip from Austin to Dallas takes about 3 hours going 65 mi/hr north is this speed, velocity, or acceleration?

Answers

Answer:volocity

Explanation:

helpppp i am not smart

Answers

Answer:

it might be b maybe

Explanation:

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