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45 votes
45 votes
At the base of a hill, a 90 kg cart drives at 13 m/s toward it then lifts off the accelerator pedal). If the cart just barely makes it to the top of this hill and stops, how high must the hill be?

User Sten Petrov
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1 Answer

15 votes
15 votes

Answer:

the height of the hill is 8.622 m.

Step-by-step explanation:

Given;

mass of the cart, m = 90 kg

speed of the cart at the base, v = 13 m/s

Let the height of the hill = h

Apply the principle of conservation of energy, to determine the height of the hill.

¹/₂mv² = mgh

¹/₂v² = gh


h= (1)/(2) * (v^2)/(g) \\\\h = (1)/(2) * (13^2)/(9.8) \\\\h = 8.622 \ m

Therefore, the height of the hill is 8.622 m.

User LHB
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