Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r, say rn, and some power of v, say vm. Determine the values of n and m and write the simplest form of an equation for the acceleration.

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Quantum Physics

Show that the expression v = at, where v represents speed, a acceleration, and t an instant of time, is dimensionally correct.

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Quantum Physics

On an interstate highway in a rural region of Wyoming, a car is traveling at a speed of 38.0 m/s. Is the driver exceeding the speed limit of 75.0 mi/h?

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Quantum Physics

A carpet is to be installed in a room whose length is measured to be 12.71 m and whose width is measured to be 3.46 m. find the area of the room.

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Quantum Physics

A scientist is studying the biomechanics of the human body. She determines the velocity of an experimental subject while he runs along a straight line at a constant rate. The scientist starts the stopwatch at the moment the runner passes a given point and stops it after the runner has passed another point 20 m away. The time interval indicated on the stopwatch is 4.0 s. (A) What is the runner’s velocity?