Question

the force on a body Fmagnitude is 100N acting due North and it's displacement rmagnitude is 1m along 30degree north of east. What isFmagnitude.rmagnitude?

Answer 1

The resultant force acts due north.

⇒ The horizontal components of the two forces cancel

⇒ 10=Psin30=

2

P

=10⇒P=20N

∴ Resultant R=Pcos30=20×

2

3

=10

3

N.

Answer 2

from the question it is known that the resultant force acts due north.

⇒ The horizontal components of the two forces cancel each other

⇒ 10=Psin30=2P

=10⇒P=20N

∴ Resultant R=Pcos30=20×23

                                     =103N.