Which of the following graphs best represents graphical relation between momentum p and kinetic energy K for a body in motion?
Correct answer: D. Option D
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation
The product of a particle's mass and velocity is its momentum. The temporal rate of change of momentum is proportional to the force applied on the particle, according to Isaac Newton's second law of motion. p=mv where, m is the mass of the body, v is the velocity of the body. The type of energy that an item or particle has as a result of its movement is known as kinetic energy. 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. K=1/2mv2 Therefore, K=p2/2m As a result, the graph between P and K will be a parabola, and if k is on the x axis, the parabola will be concave towards the positive x-axis side. Hence, option D) is the correct option.
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About Work and Energy
Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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