Question

Difficulty: EasyWork, Energy and Power

A body of mass 4 kg4\text{ kg} moves with a constant velocity of 5 m s15\text{ m s}^{-1}. Calculate the kinetic energy of the body in Joules.

Answer: 50 J

Answer

The kinetic energy of the body is 50 J50\text{ J}.
The kinetic energy of an object in linear motion is calculated using Ek=12mv2E_k = \frac{1}{2} m v^2. Substituting m=4 kgm = 4\text{ kg} and v=5 m s1v = 5\text{ m s}^{-1} gives Ek=12×4×52=50 JE_k = \frac{1}{2} \times 4 \times 5^2 = 50\text{ J}.

Step-by-Step Solution

1
Identify the given physical quantities
Mass m=4 kgm = 4\text{ kg} and velocity v=5 m s1v = 5\text{ m s}^{-1}
Extract values provided in the problem statement.
2
Apply the formula for kinetic energy
Ek=12mv2E_k = \frac{1}{2} m v^2
Kinetic energy is defined as half the product of mass and the square of velocity.
3
Substitute values and solve
Ek=12×4×(5)2=50 JE_k = \frac{1}{2} \times 4 \times (5)^2 = 50\text{ J}
Perform arithmetic evaluation to get the final energy in Joules.

Key Concept

Kinetic Energy
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