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Luba_88 [7]
3 years ago
13

A child and sled with a combined mass of 57.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed o

f 2.40 m/s at the bottom, what is the height of the hill?
Physics
2 answers:
Zina [86]3 years ago
5 0

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,

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

So, the height of the hill is 29.3 cm. Hence, this is the required solution.

e-lub [12.9K]3 years ago
5 0

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

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