Question

A moving body of mass 5 kg possesses 250 J of energy. Calculate the

velocity with which the body is moving.

please explain.​

Answer 1

Given,

m = 5 kg

K.E = 250 J

Solution:

⟹ K.E = 1/2 × mv²

⟹ 250 = 1/2 × (5)v²

⟹ v² = 100

⟹ v = 10 m/s

Answer 2

Given: A moving body of mass 5 kg possesses 250 J of energy.

To find: The velocity with which the body is moving.

Solution:

• Since the body is in motion or moving, the energy possessed by it is kinetic energy.
• Kinetic energy is given by the formula,

       $K.E. = \frac{1}{2} mv^{2}$

• Here, m is the mass of the moving body and v is the velocity with which it is moving.
• On replacing the terms with the values given in the question, the equation obtained is,

        $250J = \frac{1}{2} (5kg) (v^{2})$

• On rearranging, the value of v is found to be,

        $v = 10ms^{-1}$

Therefore, the velocity with which the body is moving is 10 ms⁻¹.