Volcanoes on the earth eject rocks at speeds of up to 160, Ask an Expert

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Q1. Mass M1 (5.48 kg) is on a rough inclined plane that makes an angle θ = 43.7o with the horizontal. The coefficient of kinetic friction between M1 and the incline is μk = 0.137. A rope is attached to M1, passes over a frictionless pulley, and is attached to mass M2 = 8.37 kg which hangs freely.

HINT: In each part: consider the direction in that m1 tends to move to conclude the direction in which the friction is acting.

a) If M1 is at first moving up the incline: find the magnitude of the acceleration of the masses.

b) If M1 is at first moving down the incline: find the magnitude of the acceleration of the masses.

Q2. Volcanoes on the Earth eject rocks at speeds of up to 160 m/s. Consider a 1260 m high volcano that ejects rocks in all directions. What is the maximum height above sea level reached through rocks?

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