Simple Harmonic Motion and Wave Motion Problems
Simple Harmonic Motion and Wave Motion Problems #1
1.
A 0.40 kg mass is attached to a spring with a spring constant of 160 N/m so that the mass is allowed to move on a horizontal frictionless surface. The mass is released from rest when the spring is compressed 0.15 m. Find:
a. b. the force on the mass and its acceleration at this instant The maximum values of the force and acceleration
Simple Harmonic Motion and Wave Motion Problems #2
2. A load of 50.0 N attached to a spring hanging vertically stretches the spring 5.0 cm. The spring is now placed horizontally on a table and stretched 11 cm. What force is required to stretch the spring this amount?
Simple Harmonic Motion and Wave Motion Problems #3
a. b. A 100 g mass is placed on a spring. The period (the time for one complete vibration) depends on what two quantities? If the spring constant is .025 N/m, the maximum speed of the mass is 2.8 m/s, and if we pull the mass down 1.2 meters, what will be the period?
Simple Harmonic Motion and Wave Motion Problems #4
4.
An archer pulls her bow string back 0.40 m by exerting a force that increases uniformly from zero to 230 N.
a. b. What is the equivalent spring constant of the bow? How much work is done in pulling the bow?
Simple Harmonic Motion and Wave Motion Problems #5
5. A child’s toy consists of a piece of plastic attached to a spring. The spring is compresses against the floor a distance of 2.0 cm, and the toy is released. If the toy has a mass of 0.100 kg and rises to a maximum height of 60.0 cm, estimate the force constant of the spring.
k
Simple Harmonic Motion and Wave Motion Problems #6
6.
A slingshot consists of a light leather cup, containing a stone, that is pulled back against two rubber bands. It takes a force of 30.0 N to stretch the bands 1.0 cm.
a. What is the potential energy stored in the bands when a 50.0 g stone is placed in the cup and pulled back 0.20 m from the equilibrium position? With what speed does the stone leave the slingshot?
b.
Simple Harmonic Motion and Wave Motion Problems #7
7.
A pendulum is drawn aside until the ball has risen 0.40 m. After released what will be its maximum speed and where will that occur? (Hint - use potential and kinetic energy)
Simple Harmonic Motion and Wave Motion Problems #8
8. The period of a pendulum depends on which of the following?
a. b. c. d. The shape of the bob The color of the bob The mass of the bob The square root of the length The size of the arc The inverse of the square root of gravity The air temperature The square root of gravity
e. f.
g. h.
Simple Harmonic Motion and Wave Motion Problems #9
9.
A simple 2.00 m long pendulum oscillates in a location where g = 9.80 m/s². How many complete oscillations does it make in 5.00 min?
Simple Harmonic Motion and Wave Motion Problems #10
10. A visitor to a lighthouse wishes to determine the height of the tower. She tries a spool of thread to a small rock to make a simple pendulum, which she hangs down the center of a spiral staircase of the tower. The period of oscillation is 9.40 s. What is the height of the tower?
Simple Harmonic Motion and Wave Motion Problems #11
11.
The motion of an object is described by the equation æ ö çp t ÷ x = (0.30 m)sin ç ÷ ç3 ÷ è ø
a. b. c. d. Find the position of the object at t = 0 and t = 0.20 s. Find the amplitude of the motion Find the frequency of the motion Find the period of the motion.
Simple Harmonic Motion and Wave Motion Problems #12
12.
Draw what the wave will look like when the wave on the right is on the left and the wave on the left is on the right.
Simple Harmonic Motion and Wave Motion Problems #13
13.
Draw what you think the wave will look like both waves are between A and B.
Simple Harmonic Motion and Wave Motion Problems #14
14.
Name three examples of mechanical waves and three examples of waves that are not mechanical.
Simple Harmonic Motion and Wave Motion Problems #15
15.
There are two identical pulses each with an amplitude of 0.35 m moving opposite directions on a spring. What will be the resulting amplitude at the exact moment the overlap?
Simple Harmonic Motion and Wave Motion Problems #16
16.
What is the frequency of a wave if it has a wavelength of 0.20 meters and a speed of 5.0 m/s?
Simple Harmonic Motion and Wave Motion Problems #17
17.
In the box we have two point sources of waves. Draw the resulting wave phenomenon and what is it called.
Simple Harmonic Motion and Wave Motion Problems #18
18. In the box to the left a wave moving in deep water is shown. It is a relatively fast wave. In the white area there is shallow water where the wave is relatively slow. Draw what the wave looks like in the slow area and name the wave phenomenon observed.
Fast
Slow
Simple Harmonic Motion and Wave Motion Problems #19
19.
In the box to the right draw the wave as it would look after it moves through the slit. What is the wave phenomenon called?
Simple Harmonic Motion and Wave Motion Problems #20
20.
How many beats are produced by two tuning forks side by side with frequencies of 288/sec. and 256/sec.?
Simple Harmonic Motion and Wave Motion Problems #21
21.
If the angle of incidence is 60.̊, what is the angle of reflection?
Simple Harmonic Motion and Wave Motion Problems #22
22.
What is the frequency of vibration of a point source in a ripple tank if the wave travels at 15 cm/sec and the distance between the 3rd and 6th crests is 9.0 cm?
Simple Harmonic Motion and Wave Motion Problems #23
23.
What is the speed of sound on a day when the temperature is 35̊ C?
Simple Harmonic Motion and Wave Motion Problems #24
24.
How long would it take sound to travel from a building and back if the building is 1056 m away on a day with a temperature of 35̊C?
Simple Harmonic Motion and Wave Motion Problems #25
25.
With the temperature of 0.0̊ C a man drives a car at 31 m/s away from a singer who is singing a note B' which has a frequency of about 993/s. What frequency does the man here?
Simple Harmonic Motion and Wave Motion Problems #26
26.
What is the velocity of a wave in a 5.0 m spring if its mass is .50 kg and the tension is 90. N.