Probability of finding 50 heads and 50 tails in a toss of 100 coins.

Question

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.

Answer 1

Question

Chapter 22.9, Problem 22.5CE

(a)

To determine

Probability of finding 50 heads and 50 tails in a toss of 100 coins.

(b)

To determine

Probability of finding between 45 and 55 heads.

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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.