Questions from College Physics

Q: Given that x = A cos (ωt) is a sinusoidal

Given that x = A cos (ωt) is a sinusoidal function of time, show that v (velocity) and a (acceleration) are also sinusoidal functions of time.

Q: A man enters a tall tower, needing to know its height

A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 15.5 s. (a) How tall is the tower? (b) If this...

Q: A simple pendulum has a length of 52.0 cm and

A simple pendulum has a length of 52.0 cm and makes 82.0 complete oscillations in 2.00 min. Find (a) The period of the pendulum and (b) The value of g at the location of the pendulum.

Q: A 20.0-L tank of carbon dioxide gas (

A 20.0-L tank of carbon dioxide gas (CO2) is at a pressure of 9.50 x 105 Pa and temperature of 19.0°C. (a) Calculate the temperature of the gas in Kelvin. (b) Use the ideal gas law to calculate the nu...

Q: A “seconds” pendulum is one that moves through its equilibrium

A “seconds” pendulum is one that moves through its equilibrium position once each second. (The period of the pendulum is 2.000 s.) The length of a second’s pendulum is 0.9927 m at Tokyo and 0.9942 m a...

Q: A clock is constructed so that it keeps perfect time when its

A clock is constructed so that it keeps perfect time when its simple pendulum has a period of 1.000 s at locations where g = 9.800 m/s2. The pendulum bob has length L = 0.2482 m, and instead of keepin...

Q: A coat hanger of mass m = 0.238 kg oscillates

A coat hanger of mass m = 0.238 kg oscillates on a peg as a physical pendulum as shown in Figure P13.38. The distance from the pivot to the center of mass of the coat hanger is d = 18.0 cm and the per...

Q: The free - fall acceleration on Mars is 3.7 m

The free - fall acceleration on Mars is 3.7 m/s2. (a) What length of pendulum has a period of 1.0 s on Earth? (b) What length of pendulum would have a 1.0 - s period on Mars? An object is suspended fr...

Q: A spring is hung from a ceiling, and an object attached

A spring is hung from a ceiling, and an object attached to its lower end stretches the spring by a distance d = 5.00 cm from its un-stretched position when the system is in equilibrium as in Figure P1...

Q: A simple pendulum is 5.00 m long. (

A simple pendulum is 5.00 m long. (a) What is the period of simple harmonic motion for this pendulum if it is located in an elevator accelerating upward at 5.00 m/s2? (b) What is its period if the ele...