Physics Answers

A standing wave on a string of length L = 2 m has a wavelength λ = 0.5 m. The strings oscillates in its:

Suppose the manager of a plant is concerned with the total number of man-hours lost due to accidents for the past 12 months. The company statistician has reported the mean number of man – hours lost per month but did not keep a record of the total sum. Should the manager order the study repeated to obtain the desired information? explain your answer clearly.

While driving behind a car traveling at 3.05 m/s, you notice that one of the car's tires has a small hemispherical bump on its rim

(a) Explain why the bump, from your viewpoint behind the car, executes simple harmonic motion.

(b) If the radii of the car's tires are 0.395 m, what is the bump's period of oscillation (in s)?

(c) What If? You hang a spring with spring constant & a 100 N/m from the rear view mirror of your car. What is the mass (in kg) that needs to be hung from this spring to produce simple harmonic motion with the same period as the bump on the tire?

(d) What would be the maximum speed of the hanging mass in your car (in m/s) if you initially pulled the mass down 8.00 cm beyond equilibrium before releasing it? (Enter the vertical component of the speed only.)

m/s

Given a specific length of a string, 100cm, identify the wavelengths of the fourth and fifth normal mode (n = 4,5). Given a specific wave speed identify the fourth harmonic.

A plastic ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 10.5 cm, and thi

spring constant is 7.50 N/m. When the ball is halfway between its equilibrium position and its maximum displacement fron

equilibrium, its speed is 27.0 cm/s.

(a) What is the mass of the ball (in kg)?

(b) What is the period of oscillation (in s)?

(c) What is the maximum acceleration of the ball? (Enter the magnitude in m/s?

A 500g metal ball is brought to the moon. What is its weight on Earth? on the moon? What is its mass on Earth? on the moon?

You are riding a car moving north at a constant speed of 180 km/h. In the other lane is a truck that moves at a constant speed of 100 km/h to the south. Relative to you, what is the speed of the truck when it is approaching you?

1. Calculate the rotational inertia of a 27.0 kg solid cylinder whose diameter is 0.24m about an axis of the cylinder.

2. A disk spins at a rate of 6000 radians every 10 minutes.

(a) What is the angular velocity of the disk in rad/s. (b) What is the angular velocity of the wheel in rpm (rotations per minute)?

3. A car wheel of radius 20 inches rotates at 8 revolutions per second on the highway. What is the angular speed of the tire?

1. Calculate the rotational inertia of a 27.0 kg solid cylinder whose diameter is 0.24m about an axis of the cylinder.

2. A disk spins at a rate of 6000 radians every 10 minutes.

(a) What is the angular velocity of the disk in rad/s. (b) What is the angular velocity of the wheel in rpm (rotations per minute)?

3. A car wheel of radius 20 inches rotates at 8 revolutions per second on the highway. What is the angular speed of the tire?

Find the force a 67.5kg man would experience while standing on the surface of each of the following planets.

Earth - Mass = 5.98 x 10²⁴ kg - Distance = 6.337 x 10⁵m - Force(N) =?

Mars - Mass = 6.34 x 10²³kg - Distance = 3.43 x 10⁵m - Force(N)=?

Pluto - Mass = 5 x 10²³kg - Distance = 4 x10⁵m - Force (N) = ?

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