Answer to Question #131534 in Classical Mechanics for Rethabile

Question

A child of mass m is released from rest at the top of a water slide, at height h = 850.0 cm above the bottom of the slide. Assuming that the slide is frictionless because of the water on it, the child’s speed at the bottom of the slide is…..

Answer 1

As per the given question,

Mass of the children=m

Height of the water slide$(h)=850cm =8.5m$

Let the gravitational acceleration is $(g)=9.8m/sec^2$

The speed of the child, at the bottom of the slide =v

Initial velocity of the child=u,

$v^2=u^2+2gh$

Now, substituting the values,

$\Rightarrow v^2=0+2\times 9.8\times 8.5m$

$\Rightarrow v=\sqrt{166.6} m/sec$

$\Rightarrow v=12.90 m/sec$