A 4.5-m-long rope of mass 1.8 kg hangs from a ceiling. (a) What is the tension in the rope at the bottom end? (b) What is the wave speed in the rope at the bottom end? (c) What is the tension in the rope at the top end, where it is attached to the ceiling? (d) What is the wave speed in the rope at the top end? (e) It can be shown that the average wave speed in the rope is 1 2 g L , where L is the length of the rope. Use the average wave speed to calculate the time required for a pulse produced at the bottom of the rope to travel to the top.
A 4.5-m-long rope of mass 1.8 kg hangs from a ceiling. (a) What is the tension in the rope at the bottom end? (b) What is the wave speed in the rope at the bottom end? (c) What is the tension in the rope at the top end, where it is attached to the ceiling? (d) What is the wave speed in the rope at the top end? (e) It can be shown that the average wave speed in the rope is 1 2 g L , where L is the length of the rope. Use the average wave speed to calculate the time required for a pulse produced at the bottom of the rope to travel to the top.
A 4.5-m-long rope of mass 1.8 kg hangs from a ceiling. (a) What is the tension in the rope at the bottom end? (b) What is the wave speed in the rope at the bottom end? (c) What is the tension in the rope at the top end, where it is attached to the ceiling? (d) What is the wave speed in the rope at the top end? (e) It can be shown that the average wave speed in the rope is
1
2
g
L
, where L is the length of the rope. Use the average wave speed to calculate the time required for a pulse produced at the bottom of the rope to travel to the top.
Car P moves to the west with constant speed v0 along a straight road. Car Q starts from rest at instant 1, and moves to the west with increasing speed. At instant 5, car Q has speed w0 relative to the road (w0 < v0). Instants 1-5 are separated by equal time intervals. At instant 3, cars P and Q are adjacent to one another (i.e., they have the same position). In the reference frame o f the road, at instant 3 i s the speed o f car Q greater than, less than, or equal to the speed of car P? Explain.
Car P moves to the west with constant speed v0 along a straight road. Car Q starts from rest at instant 1, and moves to the west with increasing speed. At instant 5, car Q has speed w0 relative to the road (w0 < v0). Instants 1-5 are separated by equal time intervals.
Car P moves to the west with constant speed v0 along a straight road. Car Q starts from rest at instant 1, and moves to the west with increasing speed. At instant 5, car Q has speed w0 relative to the road (w0 < v0). Instants 1-5 are separated by equal time intervals. Sketch and label a vector diagram illustrating the Galilean transformation of velocities that relates velocity of car P relative to the road, velocity of car Q relative to road, and velocity of car Q relative to car P at instant 3. In the frame of car P, at instant 3 is car Q moving to the west, moving to the east, or at rest? Explain.
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