A 0.3 kg object (A) moves on a horizontal surface at a speed...

Question

A 0.3 kg object (A) moves on a horizontal surface at a speed of and collides inelastically with a stationary 0.7 kg object (B) resting on the same surface. After the collision, the two objects stick together. The coefficient of friction between both objects and the surface is 0.6. What is the displacement of the two objects after the collision before they come to rest? (Take g = 10m/s²)

To solve this problem, we will calculate the displacement of the combined system after the collision before it comes to rest. The solution involves the following steps:

Calculate the final velocity after the collision

For an inelastic collision where the two objects stick together, we apply the law of conservation of momentum:

where:

(initial velocity of object A),

(object B is stationary),

is the final velocity after the collision.

Substitute the values:

Calculate the deceleration due to friction

The deceleration caused by the friction force is given by:

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