a playground slide is a place inclined at 48 to the horizontal. a child of mass 25 kg slides down the slide for 4m. calculate the potential energy lost by the child

ΔPE=m•g•h=m•g•s•sinα

To calculate the potential energy lost by the child, we need to first find the change in height and then use the equation for potential energy.

Step 1: Find the change in height
Since the slide is inclined at an angle, we need to find the vertical height the child slides down. We can use trigonometry to determine the change in height.

The vertical height (change in height) can be found using the formula:
Height = Slide length * sin(angle)

Given:
Slide length (distance) = 4 m
Angle of inclination = 48 degrees

Using the formula, we can calculate the change in height:
Height = 4 m * sin(48 degrees)

Step 2: Calculate the potential energy lost
The potential energy lost can be calculated using the formula:

Potential energy lost = mass * gravity * change in height

Given:
Mass of the child (m) = 25 kg
Acceleration due to gravity (g) = 9.8 m/s^2
Change in height (Height) = calculated in Step 1

Now we can calculate the potential energy lost:
Potential energy lost = 25 kg * 9.8 m/s^2 * Height (calculated in Step 1)

By plugging in the calculated values, you can solve for the potential energy lost.