Question 1

When an object moves in uniform circular motion, the direction of its acceleration is

Accepted Answer

A)  in the same direction as its velocity vector. 
B)  depends on the speed of the object. 
C)  in the opposite direction of its velocity vector. 
D)  is directed toward the center of its circular path. 
E)  is directed away from the center of its circular path. 
A)  in the same direction as its velocity vector. 
B)  depends on the speed of the object. 
C)  in the opposite direction of its velocity vector. 
D)  is directed toward the center of its circular path. 
E)  is directed away from the center of its circular path.

Question 2

A satellite of mass  500 kg orbits the earth with a period of  6,000 s. The earth has a mass of $5.97 \times 10 ^ { 24 } \mathrm {~kg} _ { 1 }$
a radius of $6.38 \times 10 ^ { 6 } \mathrm {~m}$ and $G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 }$
(a) Calculate the magnitude of the earth's gravitational force on the satellite.
(b) Determine the altitude of the satellite above the earth's surface.

Accepted Answer

(a) 3900 N

Question 3

A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius is 100 m. The coefficient of static friction between the tires and the road is 0.35. At what
Speed will the car begin to skid sideways?

Accepted Answer

A)  9.3 m/s 
B)  19 m/s 
C)  24 m/s 
D)  35 m/s 
E)  34 m/s 
A)  9.3 m/s 
B)  19 m/s 
C)  24 m/s 
D)  35 m/s 
E)  34 m/s

Question 4

It takes the planet Jupiter 12 years to orbit the sun once in a nearly circular orbit. Assuming that Jupiter's orbit is truly circular, what is the distance from Jupiter to the sun, given that the distance from the earth to the sun is $1.5 \times 10 ^ { 11 } \mathrm {~m} ?$

Accepted Answer

A)  $3.9 \times 10 ^ { 11 } \mathrm {~m}$ 
B)  $7.9 \times 10 ^ { 11 } \mathrm {~m}$ 
C)  $5.2 \times 10 ^ { 11 } \mathrm {~m}$ 
D)  $9.7 \times 10 ^ { 11 } \mathrm {~m}$ 
E)  $3.2 \times 10 ^ { 12 } \mathrm {~m}$ 
A)  $3.9 \times 10 ^ { 11 } \mathrm {~m}$ 
B)  $7.9 \times 10 ^ { 11 } \mathrm {~m}$ 
C)  $5.2 \times 10 ^ { 11 } \mathrm {~m}$ 
D)  $9.7 \times 10 ^ { 11 } \mathrm {~m}$ 
E)  $3.2 \times 10 ^ { 12 } \mathrm {~m}$

Question 5

When a car goes around a banked circular curve at the proper speed speed for the banking angle, what force cause it to follow the circular path?

Accepted Answer

A)  the friction force from the road 
B)  the normal force from the road 
C)  gravity 
D)  No force causes the car to do this because the car is traveling at constant speed and therefore has no acceleration. 
A)  the friction force from the road 
B)  the normal force from the road 
C)  gravity 
D)  No force causes the car to do this because the car is traveling at constant speed and therefore has no acceleration.

Question 6

A satellite that is in a circular orbit  230 km above the surface of the planet Zeeman-474 has an orbital period of  89 min. The radius of Zeeman-474 is $6.38 \times 10 ^ { 6 } \mathrm {~m}$

What is the mass of this planet? $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

Accepted Answer

A)  $5.5 \times 10 ^ { 24 } \mathrm { kq }$ 
B)  $5.0 \times 10 ^ { 24 } \mathrm {~kg}$ 
C)  $6.5 \times 10 ^ { 24 } \mathrm {~kg}$ 
D)  $6.0 \times 10 ^ { 24 } \mathrm {~kg}$ 
A)  $5.5 \times 10 ^ { 24 } \mathrm { kq }$ 
B)  $5.0 \times 10 ^ { 24 } \mathrm {~kg}$ 
C)  $6.5 \times 10 ^ { 24 } \mathrm {~kg}$ 
D)  $6.0 \times 10 ^ { 24 } \mathrm {~kg}$

Question 7

A particularly scary roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 13.2 m, with what minimum speed must the
Car traverse the loop so that the rider does not fall out while upside down at the top? Assume the
Rider is not strapped to the car.

Accepted Answer

A)  10.1 m/s 
B)  14.9 m/s 
C)  11.4 m/s 
D)  12.5 m/s 
A)  10.1 m/s 
B)  14.9 m/s 
C)  11.4 m/s 
D)  12.5 m/s

Question 8

A 1000-kg car is moving at 30 m/s around a horizontal unbanked curve whose diameter is 0.20 km. What is the magnitude of the friction force required to keep the car from sliding?

Accepted Answer

A)  3000 N 
B)  300 N 
C)  900 N 
D)  9000 N 
E)  9800 N 
A)  3000 N 
B)  300 N 
C)  900 N 
D)  9000 N 
E)  9800 N

Question 9

A very dense 1500-kg point mass  (A)  and a dense 1200-kg point mass  (B)  are held in place  1.00 m apart on a frictionless table. A third point mass is placed between the other two at a point that is  20.0 cm from  B  along the line connecting  A  and  B . When the third mass is suddenly released, find the magnitude and direction (toward  A  or toward  B  ) of its initial acceleration. $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

Accepted Answer

The answer of A very dense 1500-kg point mass ...

Question 10

The curved section of a speedway is a circular arc having a radius of 190 m. This curve is properly banked for racecars moving at 34 m/s. At what angle with the horizontal is the curved part of the
Speedway banked?

Accepted Answer

A)  $32 ^ { \circ }$ 
B)  $26 ^ { \circ }$ 
C)  $34 ^ { \circ }$ 
D)  $28 ^ { \circ }$ 
E)  $30 ^ { \circ }$ 
A)  $32 ^ { \circ }$ 
B)  $26 ^ { \circ }$ 
C)  $34 ^ { \circ }$ 
D)  $28 ^ { \circ }$ 
E)  $30 ^ { \circ }$

Question 11

Pulling out of a dive, the pilot of an airplane guides his plane into a vertical circle with a radius of 600 m. At the bottom of the dive, the speed of the airplane is 150 m/s. What is the apparent weight
Of the 70-kg pilot at that point?

Accepted Answer

A)  1400 N 
B)  490 N 
C)  690 N 
D)  2600 N 
E)  3300 N 
A)  1400 N 
B)  490 N 
C)  690 N 
D)  2600 N 
E)  3300 N

Question 12

Two planets have the same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B?

Accepted Answer

A)   2r 
B)   r 
C)  $r \sqrt { 2 }$ 
D)   4r 
E)  $r / \sqrt { 2 }$ 
A)   2r 
B)   r 
C)  $r \sqrt { 2 }$ 
D)   4r 
E)  $r / \sqrt { 2 }$

Question 13

Let the orbital radius of a planet be R and let the orbital period of the planet be T. What quantity is constant for all planets orbiting the sun, assuming circular orbits?

Accepted Answer

A)  $T ^ { 2 } / R 3$ 
B)  $T ^ { 2 } / R$ 
C)  $T / R 2$ 
D)  $T ^ { 3 } / R ^ { 2 }$ 
E)   T/R 
A)  $T ^ { 2 } / R 3$ 
B)  $T ^ { 2 } / R$ 
C)  $T / R 2$ 
D)  $T ^ { 3 } / R ^ { 2 }$ 
E)   T/R

Question 14

When a car goes around a circular curve on a horizontal road at constant speed, what force causes it to follow the circular path?

Accepted Answer

A)  gravity 
B)  the friction force from the road 
C)  the normal force from the road 
D)  No force causes the car to do this because the car is traveling at constant speed and therefore has no acceleration. 
A)  gravity 
B)  the friction force from the road 
C)  the normal force from the road 
D)  No force causes the car to do this because the car is traveling at constant speed and therefore has no acceleration.

Question 15

A 2.10-kg hammer is transported to the Moon. The radius of the Moon is $1.74 \times 10 ^ { 6 } \mathrm {~m}$ its mass is $7.35 \times 10^{22} \mathrm {~kg}$
and $G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } .$
How much does the hammer weigh on Earth and on the Moon?

Accepted Answer

20.6 N (on

Question 16

A spherically symmetric planet has four times the earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of
This planet?

Accepted Answer

A)  6.0 N 
B)  36 N 
C)  24 N 
D)  3.0 N 
E)  12 N 
A)  6.0 N 
B)  36 N 
C)  24 N 
D)  3.0 N 
E)  12 N

Question 17

A car traveling at a steady 20 m/s rounds an 80-m radius horizontal unbanked curve with the tires on the verge of slipping. What is the maximum speed with which this car can round a second
Unbanked curve of radius 320 m if the coefficient of static friction between the car's tires and the
Road surface is the same in both cases?

Accepted Answer

A)  30 m/s 
B)  70 m/s 
C)  40 m/s 
D)  160 m/s 
E)  80 m/s 
A)  30 m/s 
B)  70 m/s 
C)  40 m/s 
D)  160 m/s 
E)  80 m/s

Question 18

A future use of space stations may be to provide hospitals for severely burned persons. It is very painful for a badly burned person on Earth to lie in bed. In a space station, the effect of gravity can
Be reduced or even eliminated. How long should each rotation take for a doughnut-shaped
Hospital of 200-m radius so that persons on the outer perimeter would experience 1/10 the normal
Gravity of Earth?

Accepted Answer

A)  91 min 
B)  1.5 min 
C)  0.011 min 
D)  8.7 min 
E)  4.6 min 
A)  91 min 
B)  1.5 min 
C)  0.011 min 
D)  8.7 min 
E)  4.6 min

Question 19

Planet A has twice the mass of Planet B. From this information, what can we conclude about the acceleration due to gravity at the surface of Planet A compared to that at the surface of Planet B?

Accepted Answer

A)  The acceleration due to gravity on Planet A is greater than the acceleration due to gravity on Planet B, but we cannot say how much greater. 
B)  The acceleration due to gravity on Planet A must be four times as great as the acceleration due to gravity on Planet B. 
C)  The acceleration due to gravity on Planet A is the same as the acceleration due to gravity on Planet B. 
D)  The acceleration due to gravity on Planet A must be twice as great as the acceleration due to gravity on Planet B. 
E)  We cannot conclude anything about the acceleration due to gravity on Planet A without knowing the radii of the two planets. 
A)  The acceleration due to gravity on Planet A is greater than the acceleration due to gravity on Planet B, but we cannot say how much greater. 
B)  The acceleration due to gravity on Planet A must be four times as great as the acceleration due to gravity on Planet B. 
C)  The acceleration due to gravity on Planet A is the same as the acceleration due to gravity on Planet B. 
D)  The acceleration due to gravity on Planet A must be twice as great as the acceleration due to gravity on Planet B. 
E)  We cannot conclude anything about the acceleration due to gravity on Planet A without knowing the radii of the two planets.

Question 20

A Ferris wheel has radius 5.0 m and makes one revolution every 8.0 s with uniform
rotation. A person who normally weighs 670 N is sitting on one of the benches attached at
the rim of the wheel. What is the apparent weight (the normal force exerted on her by the
bench) of the person as she passes through the highest point of her motion?

Accepted Answer

The answer of A Ferris wheel has radius 5.0 m...

Exam 5: Circular Motion; Gravitation

When an object moves in uniform circular motion, the direction of its acceleration is

A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius is 100 m. The coefficient of static friction between the tires and the road is 0.35. At what Speed will the car begin to skid sideways?

It takes the planet Jupiter 12 years to orbit the sun once in a nearly circular orbit. Assuming that Jupiter's orbit is truly circular, what is the distance from Jupiter to the sun, given that the distance from the earth to the sun is 1.5×1011 m?1.5 \times 10 ^ { 11 } \mathrm {~m} ?1.5×1011 m?

When a car goes around a banked circular curve at the proper speed speed for the banking angle, what force cause it to follow the circular path?

A 1000-kg car is moving at 30 m/s around a horizontal unbanked curve whose diameter is 0.20 km. What is the magnitude of the friction force required to keep the car from sliding?

The curved section of a speedway is a circular arc having a radius of 190 m. This curve is properly banked for racecars moving at 34 m/s. At what angle with the horizontal is the curved part of the Speedway banked?

Pulling out of a dive, the pilot of an airplane guides his plane into a vertical circle with a radius of 600 m. At the bottom of the dive, the speed of the airplane is 150 m/s. What is the apparent weight Of the 70-kg pilot at that point?

Two planets have the same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B?

Let the orbital radius of a planet be R and let the orbital period of the planet be T. What quantity is constant for all planets orbiting the sun, assuming circular orbits?

When a car goes around a circular curve on a horizontal road at constant speed, what force causes it to follow the circular path?

A spherically symmetric planet has four times the earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of This planet?

Planet A has twice the mass of Planet B. From this information, what can we conclude about the acceleration due to gravity at the surface of Planet A compared to that at the surface of Planet B?

Introduction, Measurement, Estimating

Describing Motion: Kinematics in One Dimension

Kinematics in Two Dimensions; Vectors

Dynamics: Newtons Laws of Motion

Work and Energy

Linear Momentum

Rotational Motion

Static Equilibrium; Elasticity and Fracture

Fluids

Oscillations and Waves

Sound

Temperature and Kinetic Theory

Heat

The Laws of Thermodynamics

Electric Charge and Electric Field

Electric Potential

Electric Currents

Dc Circuits

Magnetism

Electromagnetic Induction and Faradays Law

Electromagnetic Waves

Light: Geometric Optics

The Wave Nature of Light

Optical Instruments

The Special Theory of Relativity

Early Quantum Theory and Models of the Atom

Quantum Mechanics of Atoms

Molecules and Solids

Nuclear Physics and Radioactivity

Nuclear Energy; Effects and Uses of Radiation

Elementary Particles

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Filters

It takes the planet Jupiter 12 years to orbit the sun once in a nearly circular orbit. Assuming that Jupiter's orbit is truly circular, what is the distance from Jupiter to the sun, given that the distance from the earth to the sun is $1.5 \times 10 ^ { 11 } \mathrm {~m} ?$