Question

Calculate the kinetic energy of body of mass 0.1 kg and momentum 40 kg ms-¹.​

Answer 1

Explanation:

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Answer 2

Given information:

• Mass of a body = 0.1 kg
• Momentum of that body = 40 kg ms-¹

Need to calculate:

• We have to calculate the kinetic energy.

Formula needed:

• Kinetic energy (K) = 1/2 mv²
• Momentum (p) = mv

Step by step explaination:

First of all we would calculate the velocity of the body by transposing the sides of formula of momentum thus the relation formed by p = mv is:

v = p/m

where,

• p = momentum
• mass

Now substituting the values in the formula of kinetic energy:

Kinetic energy = 1/2 mv²

Kinetic energy = 1/2m × (p/m)²

Kinetic energy = p²/2m

Now kinetic energy is p²/2m again substituting the values:

Kinetic energy = 40² / 2×0.1

Kinetic energy = 1600 × 10 / 2 × 1

Kinetic energy = 16000 / 2

Kinetic energy = 8000