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home / study / science / physics / physics questions and answers / A Block Of Mass 23 Kg Is Set On Top Of A 37 Degree Incline With A Hight Of 13.5 M. The Incline ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: A block of mass 23 kg is set on top of a 37 degree incline with a hight of 13.5 m. The incline re... A block of mass 23 kg is set on top of a 37 degree incline with a hight of 13.5 m. The incline rests on a table that is 27.8 m above the ground on the planet Mercury (M = 3.285 * 10^23 kg, R = 1516 mi). The coefficient of kinetic friction between the block and the incline is 0.18. What is the velocity of the block as it leaves the incline?

Explanation / Answer

g = G M / R^2

g = (6.67 x 10^-11)(3.285 x 10^23) / (1516 x 1609)^2

g = 3.68 m/s^2

Fnet = m g sin37 - u m g cos37 = m a

a = 3.68 ( sin37 - 0.18 cos37) = 1.69 m/s^2

d = h / sin37 = 22.4 m

Applying vf^2 - v0^2 = 2 a d

v^2 - 0^2 = 2(1.69)(22.4)

v = 8.71 m/s .......Ans

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