Question

A body of mass 25 kg has a momentum of 125 kg ms-1 find the velocity of the body

Answer 1

Given :

▪ Mass of body = 25kg

▪ Momentum of body = 125 kg m/s

To Find :

▪ Velocity of the body.

Momentum :

☞ Momentum is defined as the product of mass and velocity.

☞ It is a vector quantity.

☞ It has both magnitude as well as direction.

☞ SI unit : kg m/s or N*s

☞ Dimension formula : [M(1)L(1)T(-1)]

✴ Formula : P = m × v

• P denotes momentum
• m denotes mass
• v denotes velocity

Calculation :

→ P = m × v

→ 125 = 25 × v

→ v = 125/25

→ v = 5 m/s

Answer 2

Given:

Mass of body,m= 25 kg

Momentum of body,M= 125 kg m/s

To Find:

Velocity of body

Solution:

We know that,

• Momentum of a body M is given by

$\pink{\boxed{\bf{M=mv}}}$

where,

m is mass of body

v is velocity

$\rule{190}{1}$

Let the velocity of body be v

So,

$\longrightarrow\rm{M=mv}$

$\longrightarrow\rm{125=25v}$

$\longrightarrow\rm{25v=125}$

$\longrightarrow\rm{v=\dfrac{125}{25}}$

$\longrightarrow\rm\green{v=5\ m/s}$

Hence, the velocity of body is 5 m/s.

$\rule{190}{1}$

Additional Information

Momentum

The product of mass and velocity of body at given time is called the momentum of body at that time.

Velocity

The change in position or displacement divided by the time interval is called velocity.