Answer :
The speed of the 15.0 kg object is 8.8 m/s westwards.
What is law of conservation of momentum?
According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced. As a result, momentum cannot be gained or lost.
Mass of object one: m = 4.00 kg.
Mass of the object two: M = 15.0 kg.
Initial velocity of object one westward = 25.0 m/s.
Final velocity of object one westward = -8.00m/s.
Let, Final velocity of object two westward = v m/s.
Hence, from law of conservation of momentum we get:
Total initial momentum = total final momentum
4.00×25.0 = 15.0×v - 4.00×8.00
v = 4.00 (25.0+8.00)÷15.0
v= 8.8 m/s.
Hence, the speed of the 15.0 kg object is 8.8 m/s westwards.
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