Two lovers are parked 20.0 m from the edge of a cliff in a car whose mass, including that of the occupants is 1000 kg. A jealous suitor ties a rope to the car's bumper and a 200 kg rock to the other end of the rope. He then lowers the rock over the edge of the cliff, and the car, which is in neutral (negligible friction), accelerates toward the edge.
a. What is the acceleration of the car towards the edge?
a. What is the acceleration of the car towards the edge?
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let a be the acceleration and T be the tension in the rope.
T = 1000 a
[200 g - T] = 200 a
a = [200 g - T] / 200
a = [200 g - 1000 a ] / 200
200 a = 200 g - 1000 a
1200 a = 200 g
a = 200 g / 1200 = g/6
for g =10, a = 10/6 = 1.67 m/s^2
T = 1000 a
[200 g - T] = 200 a
a = [200 g - T] / 200
a = [200 g - 1000 a ] / 200
200 a = 200 g - 1000 a
1200 a = 200 g
a = 200 g / 1200 = g/6
for g =10, a = 10/6 = 1.67 m/s^2