A boy of mass 40 kg is on a waterslide which slopes at 30° to the horizontal. The frictional force up the slope is 120 N. Calculate the boy’s acceleration down the slope? Take the acceleration of free fall g to be 9.81 m s−2

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1 Answer
Jan 13, 2018

1.90 m/s^2

Explanation:

enter image source here so,from the above diagram, component of the boy's weight acting downwards along the plane is mg sin 30 0r 196.2 N,for which the boy tends to slip downwards.

Now, frictional force acting above along the plane is 120 N

So, net force acting downwards is (196.2-120) N 0r,76.2 N

hene, acceleration of the boy will be (net force / mass)
i.e 1.90 m/s^2