A body of mass 4 kg is moving with momentum of 8 kg m s^-1. A force of 0.2 N acts on it in

step 1 In this question we have given a body of mass 4 kilograms and it is moving with a momentum of 8

A body of mass 4 kg is moving with momentum of 8 kg m...

A body of mass $4 \mathrm{~kg}$ is moving with momentum of $8 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}$. A force of $0.2 \mathrm{~N}$ acts on it in the direction of motion of the body for $10 \mathrm{~s}$. The increase in kinetic energy is (a) $10 \mathrm{~J}$ (b) $8.5 \mathrm{~J}$ (c) $4.5 \mathrm{~J}$ (d) $4 \mathrm{~J}$

A body of mass $4 \mathrm{~kg}$ is moving with momentum of $8 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}$. A force of $0.2 \mathrm{~N}$ acts on it in the direction of motion of the body for $10 \mathrm{~s}$. The increase in kinetic energy is
(a) $10 \mathrm{~J}$
(b) $8.5 \mathrm{~J}$
(c) $4.5 \mathrm{~J}$
(d) $4 \mathrm{~J}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Work-Energy Theorem

The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. When a force is applied over a displacement in the direction of the force, the resulting work leads to an increase or decrease in the kinetic energy of the object.

Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion. It is calculated as half the product of the object's mass and the square of its velocity, serving as a measure of the work needed to accelerate a body from rest to a given speed.

Momentum

Momentum is a measure of the quantity of motion possessed by a moving object, defined as the product of its mass and velocity. It is a fundamental concept in mechanics, playing a key role in conservation laws and collision analysis.

Impulse

Impulse is the product of the force applied to an object and the time duration over which it is applied. It represents a change in momentum and is crucial for understanding how forces alter an object's state of motion.

Force

Force is an interaction that causes a change in the motion of an object, as described by Newton's second law. It can result in acceleration, altering the object's velocity and, hence, its kinetic energy.

Transcript

Please give Ace some feedback