Question

The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 5.7 m/s. Neglect nonconservative forces, such as friction and air resistance, and find the height h of the highest point reached by the skateboarder on the right side of the ramp.

Answer 1

The height of the highest point reached by the skateboarder on the right side of the ramp is 1.657 m.

Step-by-step explanation:

Given that,

Initial speed = 5.7 m/s

We need to calculate the height of the highest point

Using conservation of energy

Gain in potential = loss in kinetic energy

`mgh=(1)/(2)mv^2`

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

Where, v = initial velocity

g = acceleration due to gravity

h = height

Put the value into the formula

`h=((5.7)^2)/(2*9.8)`

`h=1.657\ m`

Hence, The height of the highest point reached by the skateboarder on the right side of the ramp is 1.657 m.