Question

1. A bottle of mass 0.5 kg is given an initial velocity of 2.3 m/s on a rough, horizontal surface. Draw a diagram showing all of the forces on the bottle as it moves across the surface. The bottle comes to rest after travelling a distance of 1.3 m. Calculate the time taken to come to rest, the deceleration and the friction force.

2. Block A has a mass of 4 kg and block B has a mass of 6 kg. The blocks collide and stick together. Compared to before the collision, is the total momentum of the two blocks after the collision the same or different? Is the total kinetic energy after the collision the same or different? Explain your answers. After the collision, what is the ratio of the kinetic energy of block A to the kinetic energy of block B?

3. A pump raises 50 kg of water through a vertical distance of 20 m and forces the water out with a speed of 10 m/s. If the water is initially static, how much work has been done by the pump? Calculate the power of the pump if it takes 12 seconds for the water to be expelled.

Answer #1

A blue block has a mass of 0.92 kg and is stationary on a
horizontal frictionless surface. It is struck with a rubber mallet
causing it to slide with a speed of 3.1 m/s on the horizontal
surface. The mallet is in contact with the block for 23
milliseconds. The blue block collides with a red block with a mass
of 0.75 kg and the two blocks stick together. The two blocks slide
up a long smooth incline and come...

Mass A (8.5 kg) slides across a frictionless surface with a
velocity of 6 m/s in the positive direction. Mass B (8.5 kg) slides
across the same surface in the opposite direction with a velocity
of
?12 m/s.
The two objects collide and stick together after the
collision. Calculate the center-of-mass velocity (in m/s) of the
system both before and after the collision. (Indicate the direction
with the sign of your answer.)

Block A of mass (mA) = 9.0 kg with an initial speed
(uA) = 2.1 m/s collides with a Block B of mass
(mB) = 27 kg which had an in initial speed
(uB) = 0.50 m/s, as shown int the figure. The surface is
frictionless, and the blocks suddenly collide and couple. After the
collision, Find the common speed (Vf) that the blocks
travel with.
a) 0.5 m/s
b) 0.9 m/s
c) 0.1 m/s
d) 0.6 m/s

4.) A cart with mass m = 1:2 kg touches a block with mass M =
7:3 kg.
Both blocks sit on a horizontal surface; the wheel of the cart
eliminates
the friction with the surface; the coecient of kinetic friction
between
the block M and the surface is not known. The box and cart are
initially
at rest.
a) We exert a horizontal push P = 63:3N and move the
block-cart
system through the distance s = 0:87 m....

Block 1, of mass m1 = 12.3 kg , moves along a frictionless air
track with speed v1 = 13.0 m/s . It collides with block 2, of mass
m2 = 39.0 kg , which was initially at rest. The blocks stick
together after the collision. Find the magnitude pi of the total
initial momentum of the two-block system. Find vf, the magnitude of
the final velocity of the two-block system. What is the change
ΔK=Kfinal−Kinitial in the two-block system's...

Block 1, of mass m1 = 1.70 kg , moves along a frictionless air
track with speed v1 = 29.0 m/s . It collides with block 2, of mass
m2 = 59.0 kg , which was initially at rest. The blocks stick
together after the collision. (Figure 1)
Find the magnitude pi of the total initial momentum of
the two-block system.
Find vf, the magnitude of the final velocity of the
two-block system.
What is the change ΔK=Kfinal−Kinitial
in the...

Block 1, of mass m1 = 5.30 kg , moves along a frictionless air
track with speed v1 = 31.0 m/s . It collides with block 2, of mass
m2 = 51.0 kg , which was initially at rest. The blocks stick
together after the collision.
A.Find the magnitude pi of the total initial momentum of the
two-block system.
B.Find vf, the magnitude of the final velocity of the two-block
system.
C. What is the change ΔK=Kfinal−Kinitial in the two-block...

Car #1 with a mass of 1.50 x 103 kg is travelling east at a
speed of 25.0 m/s. It collides in the middle of an intersection
with Car #2 which has a mass of 2.50 x 103 kg and enters the
intersection travelling north at a speed of 20.0 m/s. (a) Find the
magnitude and direction of the velocity of the wreckage, assuming
that after the collision the two cars stick together and that
frictional forces can be neglected....

A bullet of mass ma= 0.01 kg moving with an initial
speed of va= 200 m/s embeds itself in a wooden block
with mass mb= 0.99 kg moving in the same direction with
an initial speed vb= 2.6 m/s. What is the speed of the
bullet-embedded block after the collision? What is the total
kinetic energy of the bullet and block system before and after the
collision?

2 air carts collide and stick together. cart one is M1
= 0.755 kg and initial speed of 0.435 m/s the cart to right is
initially at rest with mass m2= 0.300kg.
a.find the velocity of the center of mass before the carts Collide
and stick together
b. find the velocity of the center of mass after the carts Collide
and stick together
c. find the kinetic energy of the system before and after the
Collision

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