Question

A 22.0 kg child slides down a slide that makes a 37.0° angle with the horizontal. (a) What is the magnitude of the normal force that the slide exerts on the child? (b) At what angle from the horizontal is this force directed? State your answer as a number between 0 and 90°.

Answer 1

(a) 172.185 N

(b)
`53^(\circ)`

Solution:

As per the question:

Mass of the child, m = 22.0 kg

Angle,
`\theta = 37.0^(\circ)`

Now,

(a) The magnitude of the normal force exerted by the slide on the child:

`F_(N) = mgcos\theta`

`F_(N) = 22* 9.8cos37^(\circ) = 172.185\ N`

Now,

(b) The angle from the horizontal at which the force is directed is:

`90^(\circ) - 37^(\circ) = 53^(\circ)`