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Your car rides on springs, so it will have a natural frequency of oscillation. (Figure 1) shows data for the amplitude of motion of a car driven at different frequencies. The car is driven at 30 mph over a washboard road with bumps spaced 13 feet apart; the resulting ride is quite bouncy.

Determine the frequency of the oscillation, caused by the bumps. 1 mile is 5280 feet

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Determine the frequency of the oscillation, caused by the bumps. 1 mile is 5280 feet

A 50-cm-long spring is suspended from the ceiling. A 210 g mass is connected to the end and held at rest with the spring unstretched. The mass is released and falls, stretching the spring by 28 cm before coming to rest at its lowest point. It then continues to oscillate vertically.

Part A) What is the spring constant? (k=___)

PartB) What is the amplitude of the oscillation (A=_____)

Part C) What is the frequency of the oscillation? (f=____)

A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the top of the lamppost is 6.3 cm at the moment the quake stops, and 7.2 s later it is 2.0 cm .

Part A) What is the time constant for the damping of the oscillation?

Part B) What was the amplitude of the oscillation 3.6 s after the quake stopped?

A 1.40 kg block is attached to a spring with spring constant 16 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 48 cm/s .

Part A) What is the amplitude of the subsequent oscillations? (A=____cm)

Part B) What is the block's speed at the point where x=0.60A? (V=____cm)

A heavy steel ball is hung from a cord to make a pendulum. The ball is pulled to the side so that the cord makes a 5 ∘ angle with the vertical. Holding the ball in place takes a force of 40 N . If the ball is pulled farther to the side so that the cord makes a 8 ∘ angle, what force is required to hold the ball?

I will award the Best answer. F=__ ___

The subfloor on which the flooring sits is at a temperature of 16.2 ∘C, while the air in the room is at 19.2 ∘C. What is the rate of heat conduction through the floor? Use 0.200 W/m⋅K for the thermal conductivity of wood.

P=_____W

PART A: How much heat is required to increase the temperature by 111 ∘C at constant pressure? Answer in J

PART B: How much will the temperature increase if this amount of heat energy is transferred to the gas at constant volume? Answer in ∘C

What is the refrigerator's coefficient of performance? COP =___

In order to increase his gravitational potential energy by an amount equal to his kinetic energy at full speed, how high would such a sprinter need to climb?

A car is traveling at 14 m/s .

Part A) How fast would the car need to go to double its kinetic energy?

Part B) By what factor does the car's kinetic energy increase if its speed is doubled to 28 m/s ?

Please help

A boy flies a kite with the string at a 30∘ angle to the horizontal. The tension in the string is 4.5 N.

A)How much work does the string do on the boy if the boy stands still?

B)How much work does the string do on the boy if the boy walks a horizontal distance of 11 m AWAY from the kite?

C)How much work does the string do on the boy if the boy walks a horizontal distance of 11 m TOWARD the kite?

The two ropes seen in (Figure 1) are used to lower a 255 kg piano exactly 4 m from a second-story window to the ground.

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A)How much work is done by w⃗ ?

B)How much work is done by T⃗ 1?

C)How much work is done by T⃗ 2?

The tune-up specifications of a car call for the spark plugs to be tightened to a torque of 40 N⋅m . You plan to tighten the plugs by pulling on the end of a 26-cm-long wrench. Because of the cramped space under the hood, you'll need to pull at an angle of 125 ∘ with respect to the wrench shaft.

A)With what force must you pull?

PLEASE EXPLAIN ALL PARTS OF EQUATION AND WHAT THEY MEAN FOR BEST ANSWER.(please don't just put pi rad MR etc explain what it is)

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What is the net torque on the pulley about the axle? (Figure 1 above)

The earth's radius is 6.37×106m; it rotates once every 24 hours.

A)What is the earth's angular speed?

B)Viewed from a point above the north pole, is the angular velocity positive or negative?

C) What is the speed of a point on the equator?

D) What is the speed of a point on the earth's surface located at 3/5 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?)

PLEASE EXPLAIN ALL PARTS OF EQUATION AND WHAT THEY MEAN FOR BEST ANSWER.(please don't just put pi rad MR etc explain what it is)

A. What is the speed of a tooth on the edge of the blade in m/s ?

B. What is the speed of a tooth on the edge of the blade in mph?

Please explain

Running on a treadmill is slightly easier than running outside because there is no drag force to work against. Suppose a 60 kg runner completes a 5.0 km race in 18 minutes.

Part A

Determine the drag force on the runner during the race. Suppose that the cross section area of the runner is 0.72 m2 and the density of air is 1.2 kg/m3.

Part B

What is this force as a fraction of the runner's weight?

A car traveling at 23 m/s runs out of gas while traveling up a 9.0 ∘ slope.

How far will it coast before starting to roll back down?

If you could really dumb it down. I don't get the Sin Cos things or even how to put them in a calculator. PLEASE HELP I've tried everything!