A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 7.40 mm to the bottom of the incline is 3.80 m/sm/s. What is the speed of the block when it is 3.40 m from the top of the incline?

2.58 m/s

Explanation:

We can use the following equation of motion to find out the constant acceleration of the block:

where v = 3.8 m/s is the final velocity after it has traveled 7.4 m, is the initial velocity of the block when it starts from rest, , and is the distance traveled.

We can use the same motion equation to calculate block speed at the end of 3.4m track

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.