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A force acting on a body of mass 1.5 kg, accelerates it from rest to a velocity of 4 m/s. The change in the momentum of the body is
  • a)
    1.5 kg m/s
  • b)
    3.0 kg m/s
  • c)
    4.5 kg m/s
  • d)
    6.0 kg m/s
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A force acting on a body of mass 1.5 kg, accelerates it from rest to a...
Momentum of a body is defined to be the product of its mass m and velocity v, and is denoted by p.
p = mv
Δp = m2v2 – m1v1 = m (v2 – v1) = m (4 – 0) = 1.5 × 4 = 6 kg m/s
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Most Upvoted Answer
A force acting on a body of mass 1.5 kg, accelerates it from rest to a...
Calculating change in momentum:
To calculate the change in momentum of the body, we can use the formula:
Change in momentum = final momentum - initial momentum

Initial momentum:
The initial velocity of the body is 0 m/s since it is at rest. Therefore, the initial momentum is 0 kg m/s.

Final momentum:
The final velocity of the body is 4 m/s. To calculate the final momentum, we use the formula:
Final momentum = mass x final velocity
Given that the mass of the body is 1.5 kg, and the final velocity is 4 m/s, we can calculate the final momentum:
Final momentum = 1.5 kg x 4 m/s = 6 kg m/s

Calculating change in momentum:
Now that we have the initial and final momentum, we can calculate the change in momentum:
Change in momentum = 6 kg m/s - 0 kg m/s = 6 kg m/s
Therefore, the change in the momentum of the body is 6 kg m/s. The correct answer is option 'D'.
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A force acting on a body of mass 1.5 kg, accelerates it from rest to a velocity of 4 m/s. The change in the momentum of the body isa)1.5 kg m/sb)3.0 kg m/sc)4.5 kg m/sd)6.0 kg m/sCorrect answer is option 'D'. Can you explain this answer?
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