Respuesta :
Answer:
The height of the hill is 29.3 cm.
Explanation:
Given that,
The combined mass of a child and sled, m = 57 kg
Initial speed of the sled, u = 0
Speed at the bottom of the sled, v = 2.4 m/s
We need to find the height of the hill. The energy at the bottom and the top will remains the same due to the law of conservation of energy. So,
[tex]mgh=\dfrac{1}{2}mv^2\\\\gh=\dfrac{1}{2}v^2\\\\h=\dfrac{v^2}{2g}\\\\h=\dfrac{(2.4)^2}{2\times 9.8}\\\\h=0.293\ m\\\\h=29.3\ cm[/tex]
So, the height of the hill is 29.3 cm. Hence, this is the required solution.
Answer:
Explanation:
mass of sled, m = 57 kg
initial velocity, u = 0 m/s
final velocity, v = 2.4 m/s
Let h be the height of the hill.
Change in potential energy = change in kinetic energy
m x g x h = 0.5 x m x (v² - u²)
9.8 x h = 0.5 x 2.4 x 2.4
h = 0.3 m
