A spaceship of mass m travels from the Earth to the Moon along a line that passes through the Earth's center and the Moon's center. a) At what distance from the center of the Earth is the force due to the Earth twice the magnitude of the force due to the Moon? b) How does your answer to part A depend on the mass of the spaceship? Explain.

A spaceship of mass m travels from the Earth to the Moon along a line that passes through the Earth's center and the Moon's center. a) At what distance from the center of the Earth is the force due to the Earth twice the magnitude of the force due to the Moon? b) How does your answer to part A depend on the mass of the spaceship? Explain.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 67PQ: A cosmic ray muon with mass m = 1.88 1028 kg impacting the Earths atmosphere slows down in...

See similar textbooks

Similar questions

An astronaut out on a spacewalk to construct a new section of the International Space Station walks with a constant velocity of 2.00 m/s on a flat sheet of metal placed on a flat, frictionless, horizontal honeycomb surface linking the two parts of the station. The mass of the astronaut is 75.0 kg, and the mass of the sheet of metal is 245 kg. a. What is the velocity of the metal sheet relative to the honeycomb surface? b. What is the speed of the astronaut relative to the honeycomb surface?
The International Space Station has a mass of approximately 370,000 kg. (a) What is the force on a 150-kg suited astronaut if she is 20 m from the center of mass of the station? (b) How accurate do you think your answer would be?
e A spaceship of mass m travels from the Earthto the Moon along a line that passes through the center of theEarth and the center of the Moon. (a) At what distance from thecenter of the Earth is the force due to the Earth twice the magnitude of the force due to the Moon? (b) How does your answer topart (a) depend on the mass of the spaceship? Explain
A 15.0N force pushes a piece of brass to the right. It took 4.0 seconds for the piece of brass to slide 35.0 meters horizontally on a steel surface at a starting velocity of 5.0 m/s. The coefficient of kinetic friction between the brass and steel is 0.37. a). Draw the free-body diagram of the piece of brass.b). What is the acceleration of the piece of brass within the given time frame?c). What is the mass of the piece of brass?
An astronaut in her space suit has a total mass of m1 = 75.5 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft, she throws her oxygen tank of mass m2 = 12.0 kg away from her spacecraft with a speed v = 9.00 m/s to propel herself back toward it (see figure). (a) Determine the maximum distance she can be from the craft and still return within 2.40 min (the amount of time the air in her helmet remains breathable). (b) Explain in terms of Newton's laws of motion why this strategy works.
An astronaut in her space suit has a total mass of m1 = 78.5 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft, she throws her oxygen tank of mass m2 = 12.0 kg away from her spacecraft with a speed v = 8.50 m/s to propel herself back toward it (see figure). (a) Determine the maximum distance she can be from the craft and still return within 1.80 min (the amount of time the air in her helmet remains breathable). m(b) Explain in terms of Newton's laws of motion why this strategy works.
Farrell has just begun the astronaut training program at NASA. As part of the program he weighs himself on the surface of the earth and finds that he has a mass of 110 Kg. The mass of the earth is 5.98E+24 kg. a.What is the weight (in Newtons) of the astronaut on the surface of the earth (6370000 meters from the center of the earth)? b.because of his optimal weight and hard work in training, Farrell is chosen to collect data from space around earth and is launched up to twice the earth's radius (double the distance to the center of mass). what is his weight or force of gravity at this altitude? c.Calculate the force of gravity on this astronaut in the ISS:
An astronaut in her space suit has a total mass of m1 = 79.5 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft, she throws her oxygen tank of mass m2 = 12.0 kg away from her spacecraft with a speed v = 8.50 m/s to propel herself back toward it (see figure). (a) Determine the maximum distance she can be from the craft and still return within 2.20 min (the amount of time the air in her helmet remains breathable).m
A planet of mass 5 ⨯ 1024 kg is at location <4 ⨯ 1011, −4 ⨯ 1011, 0> m. A star of mass 4 ⨯ 1030 kg is at location <−6 ⨯ 1011, 4 ⨯ 1011, 0> m. (a) What is the relative position vector pointing from the planet to the star? (b) What is the distance between the planet and the star? (c) What is the unit vector in the direction of r? (d) What is the magnitude of the force exerted on the planet by the star?(e) What is the magnitude of the force exerted on the star by the planet? (f) What is the force (vector) exerted on the planet by the star? (g) What is the force (vector) exerted on the star by the planet? (Note the change in units.)
A cosmic ray muon with mass mμ = 1.88 ✕ 10−28 kg impacting the Earth's atmosphere slows down in proportion to the amount of matter it passes through. One such particle, initially traveling at 2.42 ✕ 106 m/s in a straight line, decreases in speed to 1.60 ✕ 106 m/s over a distance of 1.10 km. (a) What is the magnitude of the force experienced by the muon? N(b) How does this force compare to the weight of the muon? |F| Fg =
A hammer of mass m = 0.44 kg is moving horizontally at a velocity of v = 4.5 m/s when it strikes a nail and comes to rest after driving the nail a distance Δx = 0.85 cm into a board. Part A : What is the duration of the impact, assuming the acceleration is constant during this time period, in terms of the given variables? Part B: What was the average force exerted on the nail, in terms of the mass, initial velocity, and distance traveled? Part C: What was the average force, in newtons, exerted on the nail?
An apple of mass 0.10 kg falls from a tree to the ground 2.00m below.a) How long does it take the apple to hit the ground?b) During the fall, what magnitude of force does the apple exert on the Earth?c) Using the force from b) and taking the Earth mass to be 6 × 1024kg, ap-proximately how far does the Earth move towards the apple during thetime it takes the apple to hit the ground?d) During the fall, is the apple moving, the Earth moving, or both, or neither?Explain your answer.e) In the real world, is the force exerted by the apple on the Earth of exactlythe same magnitude as the force exerted by the Earth on the apple