Question

A body of mass 2 kg initially at rest travels for 4sec with an acceleration of 1.5ms-1 . find the gain momentum of the body

Answer 1

Given

• Mass of body (m) = 2 kg
• Acceleration (a) = 1.5 m/s²
• Time taken (t) = 4 sec
• Initial velocity (u) = 0{started from rest}

Find out

• Find the momentum

Solution

**According to the first equation of motion**

➞ v = u + at

➞ v = 0 + 1.5 × 4

➞ v = 6 m/s

Now, as we know that

★ Momentum = mass × velocity

➞ p = m × v

➞ p = 2 × 6

➞ p = 12 kg.m/s

$\large{\boxed{\bf{\red{Momentum\:of\:body=12\:kg.m/s}}}}$

Additional Information

• The product of mass and velocity is termed as momentum

• It is a vector quantity

• Its S.I unit is kg.m/s

Answer 2

CORRECT QUESTION:

❶ A body of mass 2 kg initially at rest travels for 4sec with an acceleration of 1.5m/s². find the gain momentum of the body

GIVEN:-

• Mass of the body = 2 kg
• Initial Velocity (u) = 0 ( body started from rest)
• Time taken (t) = 4 seconds
• Acceleration (a) = 1.5 m/s²

TO FIND:

• What is the momentum of the body ?

SOLUTION:

Firstly, we need to find the Velocity of the body

✎ To find the Velocity of the body, we use the formula:-

$\large\bf{\star \: v = u + at \: \star}$

On putting the given values in the formula, we get

$\rm{\dashrightarrow v = 0 + 1.5 \times 4 }$

$\rm{\dashrightarrow v = 0 + 6 }$

$\bf{\dashrightarrow v = 6 \: m/s^2 }$

We know that the formula for finding the momentum of the body is:-

$\large\bf{\star \: Momentum = Mass \times Velocity\: \star}$

According to question:-

$\rm{\dashrightarrow Momentum = 2 \times 6 }$

$\bf{\dashrightarrow \star \: Momentum = 12 \: kgm/s\: \star}$

❝ Hence, the momentum of the body is 12 kgm/s ❞

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