Question

a force cause an acceleration of 10 metre per second square in a body of mass 500 gram .what acceleration will be caused by the same force in a body of mass 5 kg​

Answer 1

A body of mass 500g or 0.5 kg , initially at rest is acted upon by force which causes it to move a distance 4m in 2sec.

here, initial velocity , u = 0

time taken , t = 2 sec

distance covered , s = 4m

use formula , S = ut + 1/2 at²

4 = 0 + 1/2 × a × 2²

4 = 2a => a = 2 m/s²

we know, from Newton's 2nd law of motion,

F = ma

here, m = 0.5kg and a = 2m/s²

so, F = 0.5 × 2 = 1N

hence, force applied 1N

Answer 2

Explanation:

when force apllied the accleartion is10m/s^2

in a body of mass 500gm

THEN THE FORCE APPLIED IS

$f = m \times a$

changing gm into kg

=500gm

=500/1000

=0.5kg

$force = 0.5kg \times 10m \: per \: second {}^{2}$

$force = 5newton$

THE SAME FORCE IS APPLIED ON A BODY OF MASS 5KG

NOW THE ACCELARATION IS

$5newton = 5kg \times a$

$1m \: per \: second {}^{2} = accelaration$