What should the height of a slide in a park be so that a child will reach the bottom of the slide with a speed of 15.0 m/s? Use g = 10.0 m/s².

Question

Quizplus · Accepted Answer

The total energy (kinetic + potential) of the child will remain constant throughout the slide, so we can equate the initial potential energy to the final kinetic energy:

mgh = (1/2)mv^2

where m is the mass of the child, g is the acceleration due to gravity and h is the height of the slide.
Rearranging the equation for h, we get:

h = (v^2)/(2g)

Substituting the given values, we get:

h = (15.0^2)/(2×10) = 11.3 m

Therefore, the height of the slide should be 11.3 m so that a child will reach the bottom of the slide with a speed of 15.0 m/s. Therefore, the correct answer is C) 11.3 m.

What Should the Height of a Slide in a Park