UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 3, Problem 27QAP
To determine
The reason for wearing seatbelt.
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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.
v: 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?
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 O
Chapter 3 Solutions
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
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_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_forward
- Answer 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_forwardWhat direction will a helium balloon move inside a car that is slowing down—toward the front or back? Explain your answer.arrow_forwardA 95 kg male and a 65 kg female are stranded in deep space separated by a distance of 15 m. If they have no means of propulsion, calculate the following a. The gravitational force between them. b. The acceleration of each individual. c. How long it will take for them to come together. d. Where they meet, as measured from the males original position.arrow_forward
- Concern the planet Mars, which has a radius of 3400 km. On Mars, the acceleration due to gravity is 3.72 m/s^2 The mass of the sun is 2.0×1030 kg, while the (actual) mass of Mars is 6.4×1023 kg. The average distance from Mars to the sun is 228 million kilometers. a. What is the gravitational force acting on Mars due to the sun? What is the reaction force to this force? Name or explain the force; don’t give a value. b. What are the speed and angular velocity of Mars? Compare the values to those of Earth. c. Using only information provided above, estimate the length of a year on Mars. Compare the value to that of Earth.arrow_forwardNewton’s universal law of gravitation states that every particle in the universe attracts every other particle with a force along a line joining them. The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. a) True b) Falsearrow_forwardNewton's universal law of gravitation states that every particle in the universe attracts every other particle with a force along a line joining them. The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically, it can be written as GMm F = According to this law, when distance between two masses is reduced by half, the force becomes half compared to original O becomes two times larger compared to original becomes quarter of the original becomes four times larger compared to originalarrow_forward
- 42040 4204045 4204045 42040 4204045 420404 4204045 420404 420404 4204045 4204045 42040 4204045 420404 A force of magnitude 20 N has a horizontal component of magnitude of 12 N. The magnitude of its vertical component is: 4204045 420404 O 16 N O 10 N 420404 4204045 8 N 32 Narrow_forward5m 4m 3 m B. Figure 2-2arrow_forward133% + 1. Consider each of the following situations, state which of the Newton's Laws of Motion BEST illustrates the phenomenon and explain why. [. a) A person using a paddle to push a canoe forward is an example b) Whiplash can result when a car is hit violently from behind. The law explains how c) One of the Canadian women Soccer team members kicking the ball and launching it towards the goal - is an of the law. this happens to a person (without a headrest) in a car Explain. example of the that is hit from behind. law. Explain. Explain. Whiplash ED US 9 1.arrow_forward
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Newton's First Law of Motion: Mass and Inertia; Author: Professor Dave explains;https://www.youtube.com/watch?v=1XSyyjcEHo0;License: Standard YouTube License, CC-BY