Question

d. Suppose two forces of 10 N and 15 N are
acting on a body. Calculate the magnitude of
the net force in the following cases:
i. Forces acting in the same direction
ii. Forces acting in opposite directions
iii. What will be the direction of the force in
each case?
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Answer 1

Explanation:

if you apply the both the forces in same direction the net resultant forces will lead the body to accelerate ;lets say the body have mass *m*

so it will have and acceleration by the formula f=ma

net force=10+15=25

f=ma

25=ma

a=25/m

and if the net forces are on opposite direction then

f=15–10 (since the higher magnitude will produce the acceleration)

so f=5

5=ma

a=5/m

and if the both forces acts on the top part of the mass it will be balanced by the normal reaction force

15+10+mg=N (mg also acting downwards)

if one force is up and one is down so it will be

15–10+mg=N