6. A 2 kg cart travelling 4 m/s to the right collides with and sticks to a 6 kg cart that was initially travelling 1 m/s to the left. Find the value of the velocity of the carts after the collision. 2 kg 6 kg A block of mass m is pushed with a constant force Fpush across a horizontal floor with a cooeficient of kinetic friction μk for a distance d. (probs. 7&8) 7. Draw a free body diagram labelling ALL of the forces acting on the block and find an expression for the work done by each.

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6. A 2 kg cart travelling 4 m/s to the right collides with and
sticks to a 6 kg cart that was initially travelling 1 m/s to the left.
Find the value of the velocity of the carts after the collision.
2 kg
6 kg
A block of mass m is pushed with a constant force Fpush across a horizontal floor with a cooeficient of
kinetic friction μK for a distance d. (probs. 7&8)
7. Draw a free body diagram labelling ALL of the forces acting on the block and find an expression for
the work done by each.
8. After the block is pushed d there is no more pushing and it slides another d until it comes to a stop.
Assuming d = 5 m, Fpush = 20 N, m = 5 kg and correctly using AK + AU =W₂ find the value of μк.
NC'
Transcribed Image Text:6. A 2 kg cart travelling 4 m/s to the right collides with and sticks to a 6 kg cart that was initially travelling 1 m/s to the left. Find the value of the velocity of the carts after the collision. 2 kg 6 kg A block of mass m is pushed with a constant force Fpush across a horizontal floor with a cooeficient of kinetic friction μK for a distance d. (probs. 7&8) 7. Draw a free body diagram labelling ALL of the forces acting on the block and find an expression for the work done by each. 8. After the block is pushed d there is no more pushing and it slides another d until it comes to a stop. Assuming d = 5 m, Fpush = 20 N, m = 5 kg and correctly using AK + AU =W₂ find the value of μк. NC'
A block of mass m rests on a
frictionless horizontal surface
and holds back a compressed
spring with force constant k.
When the spring is released, the
block reaches a horizontal speed
v as it travels from point a to
point b. At point b it reaches an
incline plane at angle with a coefficient of kinetic friction
. The block then travels up to incline
plane distance L before stopping at point c. Using AK + AU = WNC find the following results.
www.
m
a
HK = 0
b
Mx #0
с
9. Given that the block is traveling at a speed v as it starts up the incline at point b, find an expression
for the distance L.
10. Now assume that the block has a mass of 5 kg and the spring is compressed 0.1 m before being
released. If the block has a speed of 4 m/s at point b, find the value of the spring constant.
Transcribed Image Text:A block of mass m rests on a frictionless horizontal surface and holds back a compressed spring with force constant k. When the spring is released, the block reaches a horizontal speed v as it travels from point a to point b. At point b it reaches an incline plane at angle with a coefficient of kinetic friction . The block then travels up to incline plane distance L before stopping at point c. Using AK + AU = WNC find the following results. www. m a HK = 0 b Mx #0 с 9. Given that the block is traveling at a speed v as it starts up the incline at point b, find an expression for the distance L. 10. Now assume that the block has a mass of 5 kg and the spring is compressed 0.1 m before being released. If the block has a speed of 4 m/s at point b, find the value of the spring constant.
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We are given masses of 2 carts. We are also given initial velocities of 2 carts. Since there is no external force acting on the system of 2 carts, the linear momentum of system remains conserved. We apply conservation of momentum to find the velocity of the system of combined carts after collision.

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