Question

1) A box has initial velocity of v₀ = 0.3 m/s down the ramp. The coefficients of kinetic and static friction are ?_k = 0.3 and ?_s = 0.5 and the box has a mass of m = 2 kg. If the ramp is at angle 45°, and the box is given an initial velocity of v₀ = 0.3 m/s, down the ramp, how long does it take to get to the bottom of the ramp, which is 3 meters away?

2) Consider two masses on a pulley, but one of the masses sits on a table, instead of hanging.

• m₁ = 0.3 kg
• m₂ = 0.5 kg
• h = 1 meter
• ignore friction

With the given values, how long does it take for mass 2 to hit the ground, in seconds, if the masses have an initial velocity of v₀ = 0?

Answer 1