College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 4, Problem 4PE
Since astronauts in orbit are apparently weightless, a clever method of measuring their masses is needed to monitor their mass gains or losses to adjust diets. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 50.0 N is exerted and the astronaut's acceleration is measured to be 0.893 m/s2. (a) Calculate her mass. (b) By exerting a force on the astronaut, the vehicle in which they orbit experiences an equal and opposite force. Discuss how this would affect the measurement of the astronaut's acceleration. Propose a method in which recoil of the vehicle is avoided.
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A “doomsday” asteroid with a mass of 1.0x1010 kg is hurtling through space. Unless the asteroid’s speed is changed by about 0.20 cm/s it will collide with Earth and cause tremendous damage. Researchers suggest that a small “space tug” sent to the asteroid’s surface could exert a gentle constant force of 2.5 N. For how long must this force act?
A 10.0 kg mass is acted on by the two forces:
and F1=(3.0N)i+(2.0N)j and F2=(10.0N)i+(7N.0)7
a) Express the summation of these two forces in unit vector notation. That is:
b) What is the acceleration of this mass while these forces are acting? Write your answer in unit vector notation.
c) What is the direction of the acceleration (give the angle of acceleration with the x axis)?
Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,100 kg. The thrust of its engines is 33,500 N. (Assume that the gravitational acceleration on
the Moon is 1.67 m/s2.)
(a) Calculate its magnitude of acceleration in a vertical takeoff from the Moon.
m/s2
(b) Could it lift off from Earth? If not, why not?
O No, the thrust of the module's engines is less than its weight on Earth.
O No, the thrust of the module's engines is equal to its weight on Earth.
O Yes, the thrust of the module's engines is greater than its weight on Earth.
O Yes, the thrust of the module's engines is equal to its weight on Earth.
If it could, calculate the magnitude of its acceleration. (If not, enter NONE.)
m/s2
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Chapter 4 Solutions
College Physics
Ch. 4 - Propose a force standard different from the...Ch. 4 - What properties do forces have that allow us to...Ch. 4 - How are inertia and mass related?Ch. 4 - What is the relationship between weight and mass?...Ch. 4 - Which statement is correct? (a) Net force causes...Ch. 4 - Why can we neglect forces such as those holding a...Ch. 4 - Explain how the choice of the “Stem of interest”...Ch. 4 - Describe a situation in which the net external...Ch. 4 - A system can have a nonzero velocity while the net...Ch. 4 - A rock is thrown straight up. What is the net...
Ch. 4 - (a) Give an example of different net external...Ch. 4 - If the acceleration of a system is zero, are no...Ch. 4 - If a constant, nonzero force is applied to an...Ch. 4 - The gravitational force on the basketball in...Ch. 4 - When you take off in a jet aircraft, there is a...Ch. 4 - A device used since the 1940s to measure the kick...Ch. 4 - Describe a Situation in which one a force on and,...Ch. 4 - Why does an ordinary rifle recoil (kick backward)...Ch. 4 - An American football lineman reasons that it is...Ch. 4 - Newton's third law of motion tells us that forces...Ch. 4 - If a leg is suspended by a traction setup as shown...Ch. 4 - Ina traction setup a broken bone, with pulleys and...Ch. 4 - To simulate the apparent weightlessness of space...Ch. 4 - A cartoon shows the toupee coming off the head of...Ch. 4 - Explain, in terms of the properties of the four...Ch. 4 - What is the dominant force between astronomical...Ch. 4 - Give a detailed example of the exchange of a...Ch. 4 - A 63.0-kg sprinter starts a race with an...Ch. 4 - If the sprinter from the previous problem...Ch. 4 - A cleaner pushes a 4.50-kg laundry cart in such a...Ch. 4 - Since astronauts in orbit are apparently...Ch. 4 - In Figure 4.7, the net external force on the 24-kg...Ch. 4 - The same rocket sled drawn in Figure 4.31 is...Ch. 4 - (a) If the rocket sled shown in Figure 4.32 starts...Ch. 4 - What is the deceleration of the rocket sled if it...Ch. 4 - Suppose two children push horizontally, but in...Ch. 4 - A powerful motorcycle can produce an acceleration...Ch. 4 - The rocket sled shown in Figure 4.33 accelerates...Ch. 4 - Repeat the previous problem for the situation in...Ch. 4 - The weight of an astronaut plus his space suit on...Ch. 4 - Suppose the mass of a fully loaded module in which...Ch. 4 - What net external force is exerted on a 1100-kg...Ch. 4 - A brave but inadequate rugby player is being...Ch. 4 - Two teams of nine members each engage in a tug of...Ch. 4 - What force does a trampoline have to apply to a...Ch. 4 - (a) Calculate the tension in a vertical strand of...Ch. 4 - Suppose a 60.0-kg gymnast climbs a rope. (a) What...Ch. 4 - Show that, as stated in the text, a force F...Ch. 4 - Consider the baby being weighed in Figure 4.34....Ch. 4 - A 5.00105 -kg rocket is accelerating straight up....Ch. 4 - The wheels of a midsize car exert a force of 2100...Ch. 4 - Calculate the force a 70.0-kg high jumper must...Ch. 4 - When landing after a spectacular somersault, a...Ch. 4 - A freight train consists of two 8.00104 -kg...Ch. 4 - Commercial airplanes are sometimes pushed out of...Ch. 4 - A 1100-kg car pulls a boat on a trailer. (a) What...Ch. 4 - (a) Find the magnitudes of the forces F1 and F2...Ch. 4 - Two children pull a third child on a snow saucer...Ch. 4 - Suppose your car was mired deeply in the mud and...Ch. 4 - What force is exerted on the tooth in Figure 4.38...Ch. 4 - Figure 4.39 shows Superhero and Trusty Sidekick...Ch. 4 - A nurse pushes a cart by exerting a force on the...Ch. 4 - Construct Your Own Problem Consider the tension in...Ch. 4 - Construct Your Own Problem Consider people pushing...Ch. 4 - Unreasonable Results (a) Repeat Exercise 4.29, but...Ch. 4 -
Ch. 4 - A flea jumps by exerting a force of 1.20105 N...Ch. 4 - Two muscles in the back of the leg pull upward on...Ch. 4 - A 76.0-kg person is being pulled away from a...Ch. 4 - Integrated Concepts A 35.0-kg dolphin decelerates...Ch. 4 - Integrated Concepts When starting a foot race, a...Ch. 4 - Integrated Concepts A large rocket has a mass of...Ch. 4 - Integrated Concepts A basketball player jumps...Ch. 4 - Integrated Concepts A 2.50-kg fireworks shell is...Ch. 4 - Integrated Concepts Repeat Exercise 4.47 for a...Ch. 4 - Integrated Concepts An elevator filled with...Ch. 4 - Unreasonable Results (a) What is the final...Ch. 4 - Unreasonable Results A 75.0-kg man stands on a...Ch. 4 - (a) What is the strength of the weak nuclear force...Ch. 4 - (a) What is the ratio of the strength of the...Ch. 4 - What is the ratio of the strength of the strong...
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