Question

calculate the momentum of a body of mass 4kg with kinetic energy is 2j

Answer 1

Kinetic energy = p^2/2m

Linear momentum p= (2*2*4)^1/2

p= 4 kg ms^-1.

Answer 2

Given:

Mass (m) = 4 kg

Kinetic energy (E.k) = 2j

To Find:

• Momentum?

Formula Used:

• Kinetic energy = ½ × Mass × (velocity)²

• Momentum (p) = Mass × Velocity

Solution:

Find Velocity?

➣ E.k = ½ × mv²

➣ 2 = ½ × 4 × (v)²

➣ 2×2/4 = v²

➣ 4/4 = v²

➣ 1 = v²

➣ √1 = v²

➣ v = 1 m/s

According to the Formula,

After putting the values in the formula of Momentum;

➣ P = 4 × 1

➣ P = 4 kgm/s

Hence,

The Momentum of the body is 4 kgm/s.

Remarks:

• E.k = Kinetic energy
• M = Mass
• SI unit of Momentum is kgm/s.