AP PHYSICS 1 FINAL

When an object in simple harmonic motion is at its maximum displacement, its____________ is also at a maximum.

acceleration

What kind of force is necessary for a simple harmonic motion?

Linear restoring force

The position of an object in simple harmonic motion is described by the following equation: y = (0.50 m)cos (π/2)t. What is the amplitude of vibration?

0.50 m

The amplitude of a particle undergoing SHM is 5.0 meters. The particle is moving at a constant rate of 1.5 radians per second. 

How long would it take for the particle to travel from A to -A? 

2.1 s

A particle vibrates according to the equation x(t) = 0.65 cos(7.4 t)  

Determine the amplitude.

A = 0.65 m

An object makes 20 vibrations in 10 seconds. Its frequency is:

2 Hz

The position of a mass undergoing simple harmonic motion is given by
x(t) = 0.5 cos (πt).What is the period?

2.0 sec

Consider a particle undergoing SHM, with an amplitude of 3.0 meters, and an angular frequency of 0.75 radians per second.

What is the acceleration of the particle at t = 1.2 seconds? 

-1.0 m/s²

Which of the following is true for a system consisting of a mass oscillating on the end of an ideal spring?

The maximum kinetic energy and maximum potential energy are equal, but occur at different times.

A particle oscillates up and down in simple harmonic motion. Its height y as a function of time t is shown in the diagram. At what time t does the particle achieve its maximum positive acceleration?

1s

A mass attached to the end of a spring is stretched a distance x₀ from equilibrium and released.

At what distance from equilibrium will its acceleration equal to half of its maximum acceleration?

x₀/2

A vertical spring oscillates with a frequency of 3.0 Hz when a 0.60 kg mass is hung from it.

Determine the frequency when only a 0.38 kg mass hangs from it.

3.8 Hz

A 0.2 kg object is suspended from a spring with a spring constant of k=10 N/m and is undergoing simple harmonic motion. What is its acceleration of the object at the instant when it is -0.05 m away from equilibrium?

2.5 m/s²

When a 75 N weight hangs from a spring the spring is 65 cm long, but when it is replaced by a 180 N weight the spring is 85 cm long. 

What is the spring constant k?

5.3x10² N/m

A mass-spring system is at rest on a horizontal, frictionless surface. The other end of the spring is connected to a wall. 

It takes 3.0 J of work to compress the spring a distance of 0.12 m.

As the mass is released from rest after being compressed, it reaches a maximum acceleration of 15 m/s².

Determine the value of the mass.

3.3 kg

A 2-kg mass attached to the end of a spring with a spring constant of 200 N/m moves in simple harmonic motion. Find the period of the oscillations.

0.63 sec

A block of mass M on a horizontal surface is connected to the end of a massless spring of spring constant k .

The block is pulled a distance x from equilibrium and when released from rest, the block moves toward equilibrium.

What coefficient of kinetic friction between the surface and the block would allow the block to return to equilibrium

and stop?

kx/2Mg

A mass m is attached to a vertical spring stretching it distance d. Then, the mass is set oscillating on a spring with an amplitude of A, the period of oscillation is proportional to

√(m²g/d)

An object with mass m is suspended at rest from a spring with a spring constant of 200 N/m. The length of the spring is 5.0 cm longer than its unstretched length L, as shown above. A person then exerts a force on the object and stretches the spring an additional 5.0 cm. What is the total energy stored in the spring at the new stretch length?

1.0 J

Two blocks are connected to identical ideal springs and are oscillating on a horizontal frictionless surface. Block A has mass m, and its motion is represented by the graph of position as a function of time shown above on the left. Block B’s motion is represented above on the right. Which of the following statements comparing block B to block A is correct?

Because Block B has more mass, it's acceleration is smaller than that of Block A at any given displacement from the equilibrium position.

In a non-idealised scenario a pendulum in not a simple harmonic oscillator.

True

A pendulum has a period of 2.0 s. What is its length?

1.0 m

A pendulum has a period of 2.0 s on the surface of the moon. 

If g_moon = 1/6 g_earth find the length of the pendulum.

0.17 m

Use a pendulum of length 0.50 meters and a period of 1.2 seconds to find thevalue of g at an unkown location on earth. 

13.7 m/s²

A simple pendulum on Earth has a period of 6.0 seconds. What would the period of this pendulum be on Jupiter, if the acceleration of gravity on the surface of Jupiter is 26 m/s²?

3.7 sec

A 365 g pendulum bob on a 0.76 m pendulum is released at an angle of 12° to the vertical.

Determine the frequency.

0.6 Hz

A simple pendulum consists of a 1.0 kilogram brass bob on a string about 1.0 meter long. It has a period of 2.0 seconds. The pendulum would have a period of 1.0 second if the

string were replaced by one about 0.25 meter long

A sphere of mass m₁, which is attached to a spring, is displaced downward from its equilibrium position as shown above left and released from rest. A sphere of mass m₂, which is suspended from a string of length L, is displaced to the right as shown above right and released from rest so that it swings as a simple pendulum with small amplitude. Assume that both spheres undergo simple harmonic motion Which of the following is true for both spheres?

[image]

The maximum kinetic energy is attained as the sphere passes through its equilibrium position.

A pendulum consisting of a sphere suspended from a light string is oscillating with a small angle with respect to the vertical. The sphere is then replaced with a new sphere of the same size but greater density and is set into oscillation with the same angle. How do the period, maximum kinetic energy, and maximum acceleration of the new pendulum compared to those of the original pendulum?

T is the same

KE_max is larger

a_max is the same

The pendulum shown in the figure above reaches a maximum height h above the equilibrium position as it oscillates. Assuming friction and air resistance are negligible, which of the following is true about the total energy of the Earth-pendulum system as the pendulum oscillates?

It is constant throughout the pendulum's motion.