Question

A body of mass M at rest is acted upon by a force 2N . lt travels a distance 6m in 3s find out the valu of M​

Answer 1

Explanation:

first we find acceleration by second equation of motion

and then F=Ma

Answer 2

Answer:

1.5 kg

Explanation:

Given:

• Mass of a body = M
• Force (F) = 2 N
• Distance (s) = 6 m
• Time (t) = 3 s

To find:

• Value of M = ?

Solution:

By second law of motion we comes to know that Force = mass × acceleration. Let's first find out the acceleration.

We remember Newton's 2nd equation of motion i.e, s = ut + ½at².

$\Longrightarrow\:\sf{6\:=\:0\:\times\:3\:+\:\dfrac{1}{2}\:\times\:a\:(3)^2}$

$\:$

$\Longrightarrow$ 6 × 2 = 9 × a

$\:$

$\Longrightarrow\:\sf{\dfrac{12}{9}\:=\:a}$

$\:$

Let's not solve it further put the value of acceleration in the formula of force.

$\:$

$\Longrightarrow\:\sf{2\:=\:M\:\times\:\dfrac{12}{9}}$

$\:$

$\Longrightarrow\:\sf{\dfrac{2\:\times\:9}{12}\:=\:M}$

$\:$

$\Longrightarrow\:\sf{\dfrac{18}{12}\:=\:M}$

$\:$

$\Longrightarrow\:\sf{\dfrac{9}{6}\:=\:M}$

$\:$

$\Longrightarrow\:\sf{\dfrac{3}{2}\:=\:M}$

$\:$

Therefore, value of M = 1.5 kg.