(solution) Problem 14.12 A passenger car traveling down a rough road bounces

(solution) Problem 14.12 A passenger car traveling down a rough road bounces

Problem 14.12

A passenger car traveling down a rough road bounces up and down at 1.2 Hz with a maximum vertical acceleration of 0.18 m/s^2, both typical values.

Part A

What is the amplitude of the oscillation?

Include the appropriate units.

A = 

Part B

What is the maximum speed of the oscillation?

Include the appropriate units.

vmax = 

 

± Gravity on Another Planet

After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 53.0 cm. The explorer finds that the pendulum completes 90.0 full swing cycles in a time of 142 s.

Part A

What is the magnitude of the gravitational acceleration on this planet?

g planet = 

 

Properties of Ocean Waves

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.10 s for the boat to travel from its highest point to its lowest, a total distance of 0.620 m. The fisherman sees that the wave crests are spaced a horizontal distance of 5.90 m apart.

Part A

How fast are the waves traveling?

v= 

Part B

What is the amplitude A of each wave?

A= 

Problem 15.25

Part A

What is the frequency of blue light that has a wavelength of 440 nm?

F = 

Part B

What is the frequency of red light that has a wavelength of 656 nm?

F =