Question

*If a cannon has a mass of 500 kg and the cannonball is fired at a velocity of 0.25 m/s, what will be the momentum of the cannon?*

1️⃣ 20 kgm/s
2️⃣ 2550 kgm/s
3️⃣ 125 kgm/s
4️⃣ 0.125 kgm/s​

Answer 1

Given:

Mass of the cannon = 500 kg

recoil speed of cannon = 0.25 m/s

\underline{ \red{To \: find:}}

Momentum = ?

\underline{\red{ Formula:}}

Momentum = mass(m) × velocity(v)

\underline{\red{ Solution:}}

\begin{gathered}∴ \: Momentum = m \times v\: \: \: \: \: \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 500 \times 0.25 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\green {\boxed{ 125 \: kg \: m/s}}\end{gathered}∴Momentum=m×v=500×0.25=125kgm/s

∴ The momentum of the cannon is 125 kg m/s.

Answer 2

Given :  a cannon has a mass of 500 kg and the cannonball is fired at a velocity of 0.25 m/s

To Find : the momentum of the cannon

1️⃣ 20 kgm/s

2️⃣ 2550 kgm/s

3️⃣ 125 kgm/s

4️⃣ 0.125 kgm/s​

Solution:

Mass of canon = 500 kg

Velocity of canon = ?

Mass of Ball = ?

Velocity of Ball = 0.25 m/s

Not enough Details to solve

Either Velocity of canon ( recoil velocity )   or Mass of Ball is required.

Assuming 0.25 m/s id Recoil velocity of canon

Then Momentum of cannon  = mass * velocity

= 500 x 0.25

= 125 kgm/s

the momentum of the cannon = 125 kgm/s

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