The truck with a mass of 6120 kg moving at a velocity of 10 m/s has the highest momentum (61710 kg-m/s). Hence, option (C) is correct.
The concept of momentum is used to solve the given problem. The impact caused by the applied force is known as the momentum. It is given as the product of mass (m) and velocity (v). The mathematical expression is,
p = mv
(A)
For truck with a mass of 2250 kg moving at a velocity of 25m/s, the momentum is,
p = mv
p = 2250 × 25
p = 56250 kg-m/s
(B)
For car with a mass of 1210 kg moving at a velocity of 51 m/s, the momentum is,
p = mv
p = 1210 × 51
p = 61710 kg-m/s
(C)
For truck with a mass of 6120 kg moving at a velocity of 10 m/s, the momentum is,
p = mv
p = 6120 × 10
p = 61200 kg-m/s
(D)
For car with a mass of 1540 kg moving at a velocity of 38 m/s, the momentum is,
p = mv
p = 1540 × 38
p = 58520 kg-m/s
Comparing the momentum value at each option, we conclude that for truck with a mass of 6120 kg moving at a velocity of 10 m/s has the highest momentum (61710 kg-m/s). Hence, option (C) is correct.
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