Question

Q4: A man throws a ball vertically upwards with a speed of 500m/s. if the mass of the ball is
150g find:
i. The initial momentum of the body.
ii. What would be the momentum at the highest point of flight?
PLEASE SHOW WITH WORKING

Answer 1

GIVEN :-

• Initial velocity of ball = 500m/s
• Mass of the ball = 150g
• Acceleration due to gravity = -10m/s²

To Find :-

• The initial momentum of the body.
• What would be the momentum at the highest point of flight

Formulae and concept used :-

• momentum of object = mv, mu
• At highest point final velocity is 0.

Now,

→ Initial momentum of body = mu

→ 0.15 × 500 = 75kgm/s

→ Final momentum of body = mv

→ 0.15 × 0 = 0kgm/s

Hence,The Initial momentum of body iz 75kgm/s and final momentum is 0kgm/s

Answer 2

Answer:

‣ Initial momentum of the body $\mapsto\:{\boxed{\tt{\red{75\:kgm/s}}}}$

‣ Momentum at the highest point of flight $\mapsto\:{\boxed{\tt{\pink{0\:kgm/s}}}}$

Explanation:

Given information,

A man throws a ball vertically upwards with a speed of 500 m/s. If the mass of the ball is 150 g. Find:

❶ The initial momentum of the ball.

❷ What would be the momentum at the ㅤhighest point of flight?

i.e,

• Initial velocity of body (v) = 500 m/s
• Mass of body (m) = 150 g
• Initial momentum = ?
• Final momentum = ?

⚘ Converting units of mass from 'g' to 'kg',

• $\boxed{\underline{\underline{\bf{\green{1\:kg = 1000\:g}}}}}\:\bf{\dag}$

➻ Mass in kg = $\sf {\cancel{\dfrac{150}{1000}}}$

➻ Mass in kg = 0.15 kg

━━━━━━━━━━━━━━━━━

Now,

❶

★ Finding initial momentum of the ball ::

• $\boxed{\underline{\underline{\bf{\blue{Initial\:momentum = mu}}}}}\:\bf{\dag}$

Where,

• m = mass of ball
• u = initial velocity of ball

We have,

• m = 0.15 kg
• u = 500 m/s

Putting all values,

➻ Initial momentum = 0.15 kg × 500 m/s

➻ Initial momentum = 75 kgm/s

• Henceforth, initial momentum of the ball is 75 kgm/s.

❷

★ Finding momentum at highest point ㅤof flight ::

• $\boxed{\underline{\underline{\bf{\purple{Final\:momentum = mv}}}}}\:\bf{\dag}$

Where,

• m = mass of ball
• v = final velocity of ball

We have,

• m = 0.15 kg
• v = 0 m/s

⚘ [v = 0 m/s, Because at highest point ball will experiences final velocity = 0 m/s]

Putting all values,

➻ Final momentum = 0.15 kg × 0 m/s

➻ Final momentum = 0 kgm/s

• Henceforth, final momentum i.e, momentum at the highest point of flight of the ball is 0 kgm/s.

▬▬▬▬▬▬▬▬▬▬▬▬