Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 3, Problem 27QAP
To determine
The reason for wearing seatbelt.
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The mass of the earth is approximately 5.98 x 1024 kg and that of the moon is 0.0123 times as great. The meandistance betweenthem is 3.84 x105km.
a.Compute the gravitational force of attraction for each other.
b.Find the acceleration of each other that is produced by this force.
In this problem we are going to compare the strength of the gravitational interaction between the Moon and the Earth and the Sun and the Earth. We will do this by finding the gravitational field g due to the Moon or the Sun, which is the acceleration that the Earth would have if it were interacting with each of them.
a) Calculate the magnitude of the gravitational field of the moon at the location of Earth, in meters per square second.
b)Calculate the magnitude of the gravitational field of the Sun at the location of Earth, in meters per square second.
c)Calculate the ratio of the gravitational field of the Sun to the gravitational field of the Moon, at the location of Earth.
Earth's gravitational field is 7.94 N/kg at the
altitude of the space shuttle.
What is the size of the force of attraction
between a student of mass 50.7 kg and Earth?
Answer in units of N.
Chapter 3 Solutions
Understanding Our Universe
Ch. 3.1 - Prob. 3.1CYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3.5 - Prob. 3.5CYUCh. 3 - Prob. 1QAPCh. 3 - Prob. 2QAPCh. 3 - Prob. 3QAPCh. 3 - Prob. 4QAPCh. 3 - Prob. 5QAP
Ch. 3 - Prob. 6QAPCh. 3 - Prob. 7QAPCh. 3 - Prob. 8QAPCh. 3 - Prob. 9QAPCh. 3 - Prob. 10QAPCh. 3 - Prob. 11QAPCh. 3 - Prob. 12QAPCh. 3 - Prob. 13QAPCh. 3 - Prob. 14QAPCh. 3 - Prob. 15QAPCh. 3 - Prob. 16QAPCh. 3 - Prob. 17QAPCh. 3 - Prob. 18QAPCh. 3 - Prob. 19QAPCh. 3 - Prob. 20QAPCh. 3 - Prob. 21QAPCh. 3 - Prob. 22QAPCh. 3 - Prob. 23QAPCh. 3 - Prob. 24QAPCh. 3 - Prob. 25QAPCh. 3 - Prob. 26QAPCh. 3 - Prob. 27QAPCh. 3 - Prob. 28QAPCh. 3 - Prob. 29QAPCh. 3 - Prob. 30QAPCh. 3 - Prob. 31QAPCh. 3 - Prob. 32QAPCh. 3 - Prob. 33QAPCh. 3 - Prob. 34QAPCh. 3 - Prob. 35QAPCh. 3 - Prob. 36QAPCh. 3 - Prob. 37QAPCh. 3 - Prob. 38QAPCh. 3 - Prob. 39QAPCh. 3 - Prob. 40QAPCh. 3 - Prob. 41QAPCh. 3 - Prob. 42QAPCh. 3 - Prob. 43QAPCh. 3 - Prob. 44QAPCh. 3 - Prob. 45QAP
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- (a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?arrow_forward(a) The Sun orbits the Milky Way galaxy once each 2.60108 y, with a roughly circular orbit averaging 3.00104 light years in radius. (A light year is the distance traveled by light in 1 y.) Calculate the centripetal acceleration of the Sun in its galactic orbit. Does your result support the contention that a nearly inertial frame of reference can be located at the Sun? (b) Calculate the average speed of the Sun in its galactic orbit. Does the answer surprise you?arrow_forwardv: Consider the following equation: GMm F (1) R2 a) Define the parameters in Equation 1. b) What does Equation 1 mean? c) Combine Equation 1 and Newton's second law of motion. What does the result tell you?arrow_forward
- There is a gravitational force of 15.0 N between two objects. If the mass of each object is tripled, what would be the gravitational force between the objects? A 5 N 15 N C 45 N D 135 N O O O Oarrow_forwardAnswer the following questions: a. Daryl is given a mission to travel to the moon. He arrived at the moon and measured his weight to be 85N. If his mass is 72.5 kg, what is the gravitational acceleration to the moon? b. The gravitational pull of an object in the moon is 1/8 of that on earth. If Daryl's mass is 72.5 kg, what is his weight on the moon?arrow_forwardNewton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM F = where G is the gravitational constant and r is the distance between the bodies. (a) Find dF/dr. dF dr What is the meaning of dF/dr? dF/dr represents the rate of change of the distance between the bodies with respect to the force. dF/dr represents the rate of change of the force with respect to the distance between the bodies. dF/dr represents the rate of change of the mass with respect to the distance between the bodies. dF/dr represents the amount of force per distance. dF/dr represents the rate of change of the mass with respect to the force. What does the minus sign indicate? The minus sign indicates that the force between the bodies is decreasing. The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases. The minus sign indicates that as the distance between the bodies decreases, the magnitude of the…arrow_forward
- A body with a mass of 10.0 kg is assumed to be in Earth’s gravitational field with g = 9.80 m/s2 . What is its acceleration?arrow_forwardAn object has a mass of 100 kg.a) How much does it weigh on Earth?b) How much does it weigh on the Moon (gmoon = 1.6 m/sz)?arrow_forwardProblem One newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. a) What is the lighter particle's speed when it is xf away from the heavy particle? Am,m2 Consider a new expression for gravitation potential energy as: PEgrav = where A is a constant, m1 and m2 are the masses of the two objects, and r r is the distance between them. Moreover, the new particle has an additional interaction with the heavy particle through the following force expression 1 qQ Fnew where Eo is a constant that is read as epsilon subscript 0, q and Q are their new properties, r is the distance between the new particle and the heavy particle. Solution: We may solve this using two approaches. One involves the Newton's Laws and the other involving…arrow_forward
- Newton’s law of universal gravitation states that every object exerts a gravitational force on every other object in the universe. (a) Estimate magnitude of the gravitational force that the person sitting next to you in class exerts on your body, in units of Newtons. (b) Given your previous answer, what is the gravitational force that you exert on the person sitting next to you? (c) Compare your previous answers to your weight (the force of gravity the Earth exerts on you).arrow_forwardA bull and a cow elephant, each of mass 2000 kg, attract each other gravitationally with a force 4.0x10-5 N. How far apart are they?arrow_forwardProblem 1: Two trains pass each other in opposite directions in close proximity on parallel tracks. A close look shows that a mysterious force causes the two trains to slightly "Ilean" into each other. Explain why this occurs. Justify your answer.arrow_forward
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