Question

A force of 120 N acts on a stationary body for 4 second and the body acquires a velocity of 36ms calculate the mass of body

Answer 1

Answer:

force = 120N

TIME = 4 SECONDS

V=36M/S

U=0

FROM THE EQUATION V=U+AT

36=0+A*4

A=36\4

A=9M\S2

NOW

FORCE = MASS *ACCELERATION

120=M*9

M=120/9

MASS=13.33 KG

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Explanation:

Answer 2

Answer:

The mass of the body will be equal to 13.33kg.

Explanation:

Given: the force acting on stationary body, $F=120N$

Initially the body was at rest, so $u=0$

Final velocity of the body, $v=36ms^{-1}$

The time for which force which was acting, $t=4s$

From the first equation of motion:

$v+u=at$                                                                ....................(1)

Put the values of u, v and t in eq.(1);

$(36ms^{-1})+(0)=a(4sec)$

$a=\frac{36ms^{-1}}{4s}$

$a=9ms^{-2}$

Now, we know that, Force = (mass)(acceleration)

$F=ma$  , where m is mass of body

$120N=(m)(9ms^{-2})$                                [ 1N =1kgms²]

$120kgms^{-2}=m(9ms^{-2})$

$m=\frac{120}{9}=13.33kg$

Therefore, mass is equal to 13.33kg.