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Drive a relation between Kinetic energy and the momentum of a body the kinetic energy of a body of mass 20 kg is 4000 j. find its momentum?
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Drive a relation between Kinetic energy and the momentum of a body the...
Relation between Kinetic Energy and Momentum
Kinetic energy and momentum are two important concepts in physics that are closely related to each other. The kinetic energy of an object is the energy that it possesses due to its motion, while momentum is a measure of the object's motion in terms of its mass and velocity.

Formula for Kinetic Energy
The formula for kinetic energy is KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

Formula for Momentum
The formula for momentum is p = m * v, where p is the momentum, m is the mass of the object, and v is the velocity of the object.

Given Information
In this case, the mass of the body is given as 20 kg and the kinetic energy is given as 4000 J.

Finding Momentum
To find the momentum of the body, we first need to calculate the velocity of the body using the given kinetic energy.
Given that KE = 0.5 * m * v^2, we can rearrange the formula to find v:
v = sqrt(2 * KE / m)
v = sqrt(2 * 4000 / 20)
v = sqrt(400)
v = 20 m/s
Now that we have found the velocity, we can calculate the momentum using the formula p = m * v:
p = 20 * 20
p = 400 kg m/s
Therefore, the momentum of the body is 400 kg m/s.
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Drive a relation between Kinetic energy and the momentum of a body the kinetic energy of a body of mass 20 kg is 4000 j. find its momentum?
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