Q: A weather satellite is in geostationary orbit, 36000 km above the equator. The satellite rotates around the earth at the same rate as the earth does. The satellite monitors the weather evolution of the same region of the earth using ultrasensitive detectors. Calculate the speed and acceleration of the satellite. The Earth's equatorial radius is 6378 km.

v = 2.62 \times $$10^3$$ \ \mathrm{m/s}; \ a = 7.2 \times $$10^{-1}$$ \ \mathrm{$$m/s^2$$}

Q: An ornamental structure consists of a hinged rod and a supporting wire. Determine the tension (T) in the supporting cable and the magnitude and direction of the force exerted on the rod by the hinge when you hang a decoration that has twice the weight as the supporting rod, w. The rod is at $$60^{\circ} to $$the horizontal.

T = 4.89w; \ F = 7.27w; \ \text{Direction} = $$118^{\circ}$$

Q: An SUV and a truck are approaching a crossroad. The SUV has a mass of 1750 kg and is headed from north to south at 18.6 m/s. The 2500 kg truck is moving from west to east, with a speed of 11.5 m/s. Determine the x- and y- components of the total momentum of this system. Take to the north and to the east as +y and +x directions respectively.

p_x = 2.88 \times $$10^4$$ \ \mathrm{kg \cdot m/s}; \ p_y = -3.27 \times $$10^4$$ \ \mathrm{kg \cdot m/s}

Question 1

The Recommended Dose Allowance (RDA) for the trace metal lead through diet is 0.000114 g/day. Express this dose in micrograms per day.

Accepted Answer

114 micrograms/day

Question 2

A dog has escaped from its cage and has run 8.2 km away towards a park. The dog has returned to its cage after it has escaped. The dog has taken 25 minutes to run from the park back to the cage. If the origin is positioned at the cage and the dog has run towards the +x-axis, what was the dog's average velocity in m/s for its return from park to the cage?

Accepted Answer

-5.47 \ \mathrm{m/s}

Question 3

A video is a collection of motion pictures measured in frames/second. Ordinary cameras can attain 60 frames/second. Cameras are used to capture and analyze movements occurring very fast, typically to the order of milliseconds. The nearly vertical launch of a 450 g and 42.0 cm long projectile is shown in the graph below. Use the graph to determine the acceleration of the projectile at 10 ms, 25 ms, and 40 ms. Hint: Approximate the curve to a straight line.

Accepted Answer

a_{10} = 260 \ \mathrm{$$m/s^2$$}; \ a_{25} = 260 \ \mathrm{$$m/s^2$$}; \ a_{40} = 0 \ \mathrm{$$m/s^2$$}

Question 4

A weather satellite is in geostationary orbit, 36000 km above the equator. The satellite rotates around the earth at the same rate as the earth does. The satellite monitors the weather evolution of the same region of the earth using ultrasensitive detectors. Calculate the speed and acceleration of the satellite. The Earth's equatorial radius is 6378 km.

Accepted Answer

v = 2.62 	imes $$10^3$$ \ \mathrm{m/s}; \ a = 7.2 	imes $$10^{-1}$$ \ \mathrm{$$m/s^2$$}

Question 5

While going on a rescue operation, a soldier is hanging from a long rope to a helicopter, that is traveling eastward horizontally to lift people to rescue from a recent flood-affected area. If the helicopter is speeding up uniformly, then draw a clearly labeled free-body diagram for the soldier.

Accepted Answer

An arrow labeled T at an angle to the right of vertical and an arrow labeled W vertically downward

Question 6

A block is on the floor of a bus moving at an acceleration of 0.50 g. Calculate the required minimum value of the coefficient of static friction between the block and the bus floor to keep it from sliding.

Accepted Answer

0.50

Question 7

Suppose a person with a height of 1.72 m is centrifuged to a maximum acceleration of 9g using a horizontal arm that is 7.50 m long. Assuming the head of the person is positioned at the outermost end of the centrifuge arm, calculate the required rev/min to generate an acceleration of 9g.

Accepted Answer

1.87 \ \mathrm{RPM}

Question 8

The banked, circular highway curves are specifically designed for high-speed driving. To prevent vehicles from slipping outward, an 85 m radius highway curve is banked at a $$28^{\circ}$$ inclination. Determine the maximum speed with which a high-speed car weighing 1800 kg can safely maneuver this curve without sliding off the road. The coefficient of friction between the tire and the road is 1.

Accepted Answer

v = 65.1 \ \mathrm{m/s}

Question 9

An 850 g toy sled glides in a circle on a bench (\mu_s = 0.4) with the help of a 1.50 m long thread. A fan fitted on the toy thrusts air creating a 6.0 N force perpendicularly to the thread. The thread can withstand a force of 90 N before breaking. Starting from rest, determine the number of circles completed by the toy sled before the thread snaps.

Accepted Answer

10.6 \ \mathrm{rev}

Question 10

A printing head has a constant linear printing speed of 1.60 m/s. The printing head spins in a circle as it prints a spiral circular pattern on a piece of fabric. The inner radius of the pattern is 22 cm while the outer radius is 145 cm. If the printer takes 42.0 minutes to complete the pattern, what is the length of the printed pattern when stretched in a straight line?

Accepted Answer

7014 \ \mathrm{m}

Question 11

An ornamental structure consists of a hinged rod and a supporting wire. Determine the tension (T) in the supporting cable and the magnitude and direction of the force exerted on the rod by the hinge when you hang a decoration that has twice the weight as the supporting rod, w. The rod is at $$60^{\circ} to $$the horizontal.

Accepted Answer

T = 4.89w; \ F = 7.27w; \ 	ext{Direction} = $$118^{\circ}$$

Question 12

A 180 gram steel rod that is 32 centimeters long connects a 400 gram marble to another 800 gram marble. Determine the distance between the center of mass and the 400 gram marble.

Accepted Answer

0.21 \ \mathrm{m}

Question 13

Impulse is defined as the change in momentum of an object. Determine the magnitude of the impulse that will be exerted on a 2 kg block by the force shown in the figure below (triangle with base 12 s, height 5 N, then 6 s at 0 N).

Accepted Answer

60 \ \mathrm{Ns}

Question 14

A rocket experienced a launch anomaly and exploded into four parts. The first part has a mass of 4000 kg and a velocity of 7.5 km/s. The second part has a mass of 3500 kg and a velocity of 11 km/s. The third part has a mass of 5000 kg and a velocity of -12 km/s. The fourth part has a mass of 500 kg and a velocity of -0.5 km/s. Calculate the velocity of the rocket prior to the explosion.

Accepted Answer

-0.17 \ \mathrm{km/s}

Question 15

A bus of mass M traveling at a velocity of +V crashes into a truck of mass 4M traveling at a velocity of +V/4 and sticks to it. Just after, the bus and the truck collide with a car of mass M/2 waiting at a red light. Find the velocity of the bus, truck, and car after the collision if they stick together.

Accepted Answer

(2/7) V

Question 16

An SUV and a truck are approaching a crossroad. The SUV has a mass of 1750 kg and is headed from north to south at 18.6 m/s. The 2500 kg truck is moving from west to east, with a speed of 11.5 m/s. Determine the x- and y- components of the total momentum of this system. Take to the north and to the east as +y and +x directions respectively.

Accepted Answer

p_x = 2.88 	imes $$10^4$$ \ \mathrm{kg \cdot m/s}; \ p_y = -3.27 	imes $$10^4$$ \ \mathrm{kg \cdot m/s}

Question 17

In a storage room, a heavy box of mass 10.0 kg is initially at rest on a spring with a spring constant of 800 N/m. The box is part of a pulley system where it is connected to a 3.0 kg package. When the system is released, the heavier box compresses the spring by moving downwards, pulling the lighter package upwards. Calculate the distance the box falls, compressing the spring, before the entire system momentarily comes to rest.

Accepted Answer

0.17 \ \mathrm{m}

Question 18

A rigid, uniform bar is attached by its lowest end to a frictionless horizontal hinge. The bar is initially perpendicular to the horizontal plane. The bar of length 1.0 m and mass 0.250 kg is released from rest and rotates in a vertical plane. Calculate the speed of the highest end of the bar when it reaches the horizontal plane.

Accepted Answer

5.4 \ \mathrm{m/s}

Question 19

A motor pulls a 255 kg cart filled with crushed stone up rail bars inclined at 30 degrees at a uniform speed of 200 cm/s. The kinetic friction coefficient between the cart and the rail bar is 0.25. Determine the power output of the motor.

Accepted Answer

505 \ \mathrm{W}

Question 20

Two cars collide with each other. Car A has a mass of 1000 kg and is moving towards car B with a velocity of 20 m/s. Car B has a mass of 800 kg and is at rest. What is the velocity of each car immediately after they collide? (Assume a one-dimensional elastic collision.)

Accepted Answer

v_A = 2.22 \ \mathrm{m/s}; \ v_B = 22.2 \ \mathrm{m/s}

Physics Final Exam Study Guide: Motion, Forces, Energy, and Momentum

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