A ball is hung from a rope, making a pendulum. When it is pulled 5° to the side, the restoring force is 1.0 N. What will be the magnitude of the restoring force if the ball is pulled 10° to the side?

restoring force is 2 N

Explanation:

given data

angle pulled = 5°

force = 1 N

pulled = 10°

to find out

restoring force

solution

we know here force

force = m*g*sinθ ... 1

so here θ is very small so sinθ = θ

1 = mg (5)

mg = 1 / 5 ... 2

and

now for 10 degree

we know here θ is small so sinθ = θ

so from equation 1

force = m*g*sinθ

put equation 2 here

force = 1/5 * 10

force = 2 N

so restoring force is 2 N