A cart moving along a horizontal road at a speed of 36 km / h. enters the hill and at the top has a speed of 4 m / s.

univerkov | February 28, 2021 | education

A cart moving along a horizontal road at a speed of 36 km / h. enters the hill and at the top has a speed of 4 m / s. What is the height of the slide? Disregard movement resistance.

These tasks: V1 (the speed of the trolley on a horizontal road) = 36 km / h (in SI V1 = 10 m / s); V2 (trolley speed at the top of the hill) = 4 m / s; resistance to movement is not taken into account.

Reference values: g (acceleration due to gravity) ≈ 10 m / s2.

We determine the height of the slide from the equality: Ek1 = Ek2 + En2.

m * V1 ^ 2/2 = m * V2 ^ 2/2 + m * g * h.

V1 ^ 2/2 = V2 ^ 2/2 + g * h.

h = (V1 ^ 2/2 – V2 ^ 2/2) / g = (10 ^ 2/2 – 4 ^ 2/2) / 10 = 4.2 m.

Answer: The height of the slide is 4.2 meters.

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