Question

a body of mass 5 kg moves with an acceleration of 2m/s s find the change in momentum of the body in 2 seconds​

Answer 1

Answer:

Provided that:

• Mass of body = 5 kg
• Time taken = 2 seconds
• Acceleration = 2 m/s²

To calculate:

• Change in momentum

Solution:

• Change in momentum = 20 kg m/s

Using concepts:

• Change in momentum formula
• Change in velocity formula

Using formulas:

• Change in velocity:

• ${\small{\underline{\boxed{\pmb{\sf{a \times t}}}}}}$

• Change in momentum formula:

• ${\small{\underline{\boxed{\pmb{\sf{m \times \Delta v}}}}}}$

Where, a denotes acceleration, t denotes time taken, m denotes mass and ∆v denotes change in velocity.

Required solution:

~ Firstly finding change in velocity!

→ ∆v = a × t

→ ∆v = 2 × 2

→ ∆v = 4 m/s

→ Change in velocity = 4 m/s

~ Now calculating change in momentum!

→ ∆p = m × ∆v

→ ∆p = 5 × 4

→ ∆p = 20 kg m/s

→ Change in momentum = 20 kg m/s

Answer 2

$\huge{\underline{\mathtt{\red{✿}\pink{A}\green{N}\blue{S}\purple{W}\orange{E}\blue{R}\purple{✿}}}}$

Provided that:

Mass of body = 5 kg

Time taken = 2 seconds

Acceleration = 2 m/s²

To calculate:

Change in momentum

Solution:

Change in momentum = 20 kg m/s

Using concepts:

Change in momentum formula

Change in velocity formula

Using formulas:

• Change in velocity:

a×t

a×t

• Change in momentum formula:

m×Δv

m×Δv

Where, a denotes acceleration, t denotes time taken, m denotes mass and ∆v denotes change in velocity.

Required solution:

~ Firstly finding change in velocity!

→ ∆v = a × t

→ ∆v = 2 × 2

→ ∆v = 4 m/s

→ Change in velocity = 4 m/s

~ Now calculating change in momentum!

→ ∆p = m × ∆v

→ ∆p = 5 × 4

→ ∆p = 20 kg m/s

→ Change in momentum = 20 kg m/s