Question

calculate the velocity of a moving body of mass 5 kg whose linear momentum is 2.5kgms^-1​

Answer 1

Answer:

$\boxed{\mathfrak{Velocity \ (v) = 0.5 \ m/s}}$

Given:

Linear momentum (P) = 2.5 kg-m/s

Mass (m) = 5 kg

To Find:

Velocity (v) of the moving body

Explanation:

Momentum of a body is measured as the product of mass of the body and it's velocity.

$\boxed{ \bold{Momentum \: (P) = Mass \: (m) \times Velocity \: (v)}}$

Substituting value of P & m in the equation:

$\sf \implies 2.5 = 5 \times v \\ \\ \sf \implies 5v = 2.5 \\ \\ \sf \implies v = \frac{2.5}{5} \\ \\ \sf \implies v = 0.5 \: m {s}^{ - 1}$

$\therefore$

Velocity (v) of the moving body = 0.5 m/s

Answer 2

Given ,

Mass (m) = 5 kg

Linear momentum (P) = 2.5 kg-m/s

We know that ,

The product of mass and velocity is called linear momentum

It is denoted by " P "

$\boxed{ \tt {P = mv}}$

Thus ,

2.5 = 5 × v

v = 2.5/5

v = 0.5 m/s

The velocity of a moving body is 0.5 m/s