Question

How fast is a 1.50 kg ball moving if it has a momentum of 4.50 kg.m/s?​

Answer 1

Answer :

• The velocity with which the ball is moving is , v = 3 m/s.

Explanation '

Given :

• Mass of the ball , m = 1.50 kg.

• Momentum of the body , p = 4.50 kg m/s.

To find :

• Velocity with which the ball is moving , v = ?

Knowledge required :

By definition , momentum is the product of mass and velocity of a body.

So,

• Formula for Momentum (p) = Mass (m) × Velocity (v) or p = mv

Solution :

By using the formula for Momentum and substituting the values in it , we get :

==> p = mv

==> 4.50 = 1.50 × v

==> 450/100 = 150/100 × v

==> 45/10 = 15/10 × v

==> (45/10)/(15/10) = v

==> 45/10 × 10/15 = v

==> 45/15 = v

==> 3 = v

⠀⠀⠀⠀⠀⠀⠀⠀⠀∴ v = 3 m/s.

Therefore,

• The ball of mass (m) 1.50 kg with the momentum (p) of 4.50 kg m/s is moving with a Velocity (v) or 3 m/s.

Answer 2

$\huge\bold{\underline{Question:}}$

How fast is a 1.50 kg ball moving if it has a momentum of 4.50 kg.m/s?

$\huge\bold{\underline{Answer:}}$

Given:

☛︎ Mass of the ball ( m ) = 1.50 kg

☛︎ Momentum of the ball ( p ) = 4.50 kg.m/s

To find:

What is the velocity of the ball ?

Solution:

We know that,

$\huge\bold{\boxed{\rm{\blue{P=m.v}}}}$

Where,

• P = momentum
• m = mass of the body
• v = velocity

$\red\bigstar$ p = mv

$\sf{\implies 4.50 = 1.50×v}$

$\sf{\implies v =\dfrac{4.50}{1.50}}$

$\sf{\implies v =\dfrac{450×100}{150×100}}$

$\sf{\implies v =\dfrac{45}{15}}$

$\boxed{\bf{\pink{⟹\:v\:\:=\:3\:m/s}}}$

Therefore,the velocity of the ball is 3 m/s

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Some related formulas:

$\blue\bigstar$ $\bf{Velocity=\dfrac{Distance}{Time}}$

$\red\bigstar$$\bf{Acceleration=\dfrac{Change\:in\:velocity}{Change\:in\:time}}$

$\green\bigstar$$\bf{Average\:speed=\dfrac{Total\:distance}{Total\:time}}$

$\purple\bigstar$$\bf{Average\:velocity=\dfrac{Displacement}{Total\:time}}$