Question:

A body of mass $0.5\, kg$ is projected under gravity with a speed of $98\, m / s$ at an angle of $60^{\circ}$ with the horizontal. The change in momentum (in magnitude) of the body is

Updated On: Jul 5, 2022
  • 24.5 N-s
  • 49.0 N-s
  • 98.0 N-s
  • 50.0 N-s
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The Correct Option is B

Solution and Explanation

Initially body is at rest. Initial momentum $p_{1}=m \times 0$ $p_{1}= 0$ Final momentum $p_{2}=m v$ $=0.5 \times 98=49\, N$ Change in momentum $=p_{2}-p_{1}$ $=49-0=409\, N -5$
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Concepts Used:

Kinetic energy

Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.