KE of body is increased by 44 %, what is the percentage increase in the momentum?
Correct answer: B. 20%
- A. 10%
- B. 20%
- C. 30%
- D. 40%
Explanation
Now, let's analyze the relationship between kinetic energy (KE) and momentum (P) of an object:Kinetic Energy (KE) = (1/2) * m * v^2Momentum (P) = m * vWhere:m = mass of the objectv = velocity of the objectSince momentum (P) is directly proportional to the velocity (v) of the object, any change in the kinetic energy (KE) that is solely due to a change in velocity will lead to an equal percentage change in momentum (P).Given that the kinetic energy is increased by 44%, this means the velocity is increased by some percentage as well. Since we have no information about the mass of the object or the specific change in velocity, we cannot determine the exact percentage increase in momentum. Therefore, the correct answer is: b) 20%. Option B is correct since:
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About Linear Momentum
Linear momentum is the vector product of mass and velocity, p = mv, and changes when a net external force acts. Work includes impulse as the change in momentum, conservation of momentum in isolated systems, collisions and explosions, and the distinction between elastic, inelastic and perfectly inelastic collisions.
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