A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring them together. One of them has a mass of 65.0 kg and the other a mass of 72.0 kg and they start from rest 20.0 m apart. a. Draw a free-body diagram of each astronaut, and use it to find his or her initial acceleration. As a rough approximation, we can model the astronauts as uniform spheres. b. If the astronauts' acceleration remained constant, how many days would they have to wait before reaching each other? Careful! They both have acceleration toward each other! c. Would their acceleration, in fact, remain constant? If not, would it increase or decrease? Why?

A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring them together. One of them has a mass of 65.0 kg and the other a mass of 72.0 kg and they start from rest 20.0 m apart. a. Draw a free-body diagram of each astronaut, and use it to find his or her initial acceleration. As a rough approximation, we can model the astronauts as uniform spheres. b. If the astronauts' acceleration remained constant, how many days would they have to wait before reaching each other? Careful! They both have acceleration toward each other! c. Would their acceleration, in fact, remain constant? If not, would it increase or decrease? Why?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: a. When very massive stars die (stars at least 10 times larger than our sun) they undergo a…

Q: A satellite orbits a planet at 7000m/s in 100 minutes. What is the mass of the planet? b. What is…

A: Velocity of satellite = 7000m/s time = 100 min =6000 sec we have to calculate mass of the planet.

Q: 75 kg astronaut orbits the moon at a distance of 2.5 x 106 m from its center. (Mass of moon = 7.35…

A: Given: The mass of the astronaut is 75 kg. The distance of the atsronaut from the center of the moon…

Q: Find the net gravitational force for v) A regular heptagon Let m=mass of the star = 1.99 x 10^30…

Q: Two particles are 1 m apart. Particle one has a mass of M= 1000kg, particle two has a mass of m= 100…

A: A. The gravitational force between the particles is F=GMmd2=6.67×10-11 m3kg-1s-21000 kg100 kg1…

Q: What is the magnitude of the net gravitational force Fgrav on the mass at the origin due to the…

A: A. Given massesm1 = m2 = m3 = 3400 kgHere F21 is the gravitation force m2 due to m1 and F23 is the…

Q: 7. A 75 kg astronaut orbits the moon at a distance of 2.5 x 106 m from its center. (Mass of moon =…

A: Given value--- mass of astronaut = 75 kg. Mass of Moon = 7.35 × 1022 kg. distance = 2.5 × 106 m.…

Q: 33 Part (b) Calculate the magnitude of the acceleration of the rock (in m/s2) the moment it is…

A: Step 2:Step 3:

Q: You are on a deep space mission to search for Earth-like planets. Your crew locates a possible…

A: Given Radius of the point R=7.5x106 mmass m= 1.0 kgReading of spring scale=8.5 N

Q: Three identical very dense masses of 3900 kg each are placed on the x axis. One mass is at 1 =-150…

A: The mass of three identical dense object Distance and Net gravitational force on the mass at the…

Q: A space shuttle is in a circular orbit 250 km above the surface of the earth. The shuttle’s mass is…

A: The given values are,

Q: A 2070 kg space station orbits Earth at an altitude of 5.25 x 105 m. Find the magnitude of the force…

Q: ID: A Name: 22 The Moon's gravitational ficld strength is approximately one-sixth that of Earth. If…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Sally and Sam are in a spaceship that comes to within 10,000 km of the asteroid Ceres. Determine the…

A: The expression to calculate the gravitational force is F=Gm1m2r2 Substitute F=6.67×10-11…

Q: The drawing below shows three particles far away from any other objects and located on a straight…

A: The magnitude of net gravitational force acting on on the particle A is,…

Q: A bowling ball (mass = 4.6 kg, radius = 0.11 m) and a billiard ball (mass = 0.40 kg, radius = 0.028…

Q: C. The student later becomes an astronaut, and flies 5000 km off the surface of the Earth. Now what…

A: Given data: The height of the astronaut from the Earth's surface, h=5000 km. We know, the radius…

Q: Two students are sitting 2.50 m apart one student has a mass of 60.0 kg and the other has a mass of…

Q: 3. The gravitational field strength at some position far above the earth is 8.2 N/kg. a. What force…

A: "Since you have asked Multiple Questions as per Bartleby's Guidelines we will answer only the first…

Q: Two objects are dropped from a tall cliff: a sheet of paper and a ball made of a crumpled sheet of…

A: Given data- Two objects are dropped from a tall Cliff ; a sheet of paper and a ball made of a…

Q: Farrell has just begun the astronaut training program at NASA. As part of the program he weighs…

A: Given Data: Farrell's mass on Earth: 110 kg Mass of the Earth: 5.98 x 1024 kg

Q: A large massive rock is in contact with the Earth. Draw a force diagram for the rock and the Earth.…

Q: A wildlife preserve has two elephants. One has a mass of 6140 kg. The other has a mass of 4020 kg.…

Q: 7. A 75 kg astronaut orbits the moon at a distance of 7.0 x 106 m from its center. (Mass of moon =…

A: Given Mass of astronaut (m) = 75 kg Mass of moon (M) = 7.35 × 1022 kg Distance between astronaut and…

Q: 3. A satellite has a mass of 5890 kg and is in a circular orbit 4.20 x 105 m above the surface of a…

A: mass of satellite = m = 5890 kg height = h = 4.2 x 105 m time period = T = 2.45 hr

Q: Part A At what position on the z-axis could you place a small mass such that the net gravitational…

Q: Three identical spheres with mass 50-kg are held at the corners of an equilateral triangle 30cm on…

Q: Two spheres are placed 2m apart. They are fixed in place so that they cannot move. Someone takes a…

Question

100%

A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity
bring them together. One of them has a mass of 65.0 kg and the other a mass of 72.0 kg
and they start from rest 20.0 m apart.
a. Draw a free-body diagram of each astronaut, and use it to find his or her initial
acceleration. As a rough approximation, we can model the astronauts as uniform
spheres.
b. If the astronauts' acceleration remained constant, how many days would they have
to wait before reaching each other? Careful! They both have acceleration toward
each other!
c. Would their acceleration, in fact, remain constant? If not, would it increase or
decrease? Why?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given:

Step 2: Part (a):

Step 3: part (b):

Step 4: part (c):

Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 28 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Your brother’s toy car has a mass 0f 250. g. The car is going in a vertical circle in 3.50 s. The radius of the track is 40.0 cm. a. Draw Free Body Diagram of the car when it is at the bottom of the circle. b What is the magnitude of the force of the track on the car at the lowest point of the circle? a. Draw Free Body Diagram of the car when it is at the bottom of the circle.
2-D star cluster puzzle Find the net gravitational force on each star for each star cluster Let m=mass of the star = 1.99 x 10^30 kg, l=earth to star distance=149.6 x 10^6 km, G=6.67 x10^-11 N m^2/kg^2. Note that the masses of each star are the same. Also, it is advised to use vectors and components. And you can just find the gravitational net force of one of the stars in the shape 1) Triangle 2) Square 3) Pentagon 4) Hexagon 5) Regular heptagon 6) Regular Octagon
A stuntman drives a car of mass 1125 kg east with a speed of 20 m/s. a. If the car accelerates at a rate of –2 m/s 2 , how long will it take the car to go 50 m? b. The stuntman drives the car off an 80 m cliff while going 15 m/s. How long will it take the car to land? c. How far horizontally from the cliff will the car land?
NEXT Chapter 04, Problem 032 Chalkboard Video A spacecraft is on a journey to the moon. At what point, as measured from the center of the earth, does the gravitational force exerted on the spacecraft by the earth balance that exerted by the moon? This point lies on a line between the centers of the earth and the moon. The distance between the earth and the moon is 3.85 × 108 m, and the mass of the earth is 81.4 times as great as that of the moon. moon m earth em
A 15.0 kgkg sphere is at the origin and a 5.00 kgkg sphere is at x� = 20 cmcm. Part A At what position on the x�-axis could you place a small mass such that the net gravitational force on it due to the spheres is zero? Express your answer with the appropriate units.
Caroline (45 kg) is riding looping roller coaster (radius = 15 meters) at Cedar Point, At the top of the loop she experiences an acceleration of 13.75 m/s/s. Use g310N/kg for the gravitational constant. Draw a force diagram of the forces acting on Caroline. Determine which force is larger-normal force of gravirational force? Why? What is the normal force of the seat on Caroline? work and include units to rece
Task 1: Gravitational Fields 1. A person with a mass of 60 kg is inside a rocket that is moving straight up, away from the earth's surface. The radius of the earth is 6.38 x 105 m and the mass of the earth is 5.98 x 1024 kg. a. Find the force of gravity acting on the person at an altitude of 300 000 m. b. Find the altitude that will cause the person's weight to drop to one-quarter of its value on the earth's surface. 2. Mass 1 is four times as large as mass 2. Both masses are at rest and are separated by 200 m. Where could you place a third mass, mass 3, if the net force on 3 must be zero?
Planet Z is 10,000 km in diameter. The free-fall acceleration on Planet Z is 8.0 m/s². a. What is the mass of Planet Z?
m1 m2 In the picture above assume the only objects of interest are those shown. There is no Earth below them. The humanoid figures have zero mass but the balls do have mass. 1. Draw the FBD of Ball 1 2. Draw the FBD of Ball 2
Sally and Sam are in a spaceship that comes to within 14,000 km of the asteroid Ceres. Determine the force Sally experiences due to the presence of the asteroid. The mass of the asteroid is 8.7 x 1020 kg and the mass of Sally is 79 kg. For calculation purposes assume the two objects to be point masses. N
At the surface of a certain planet, the gravitational acceleration g has a magnitude of 15.0 m/s^2. A 23.0-kg brass ball is transported to this planet. a.)What is the mass of the brass ball on the Earth and on the planet? Express your answers using three significant figures separated by a comma. ______ kg b.)What is the weight of the brass ball on the Earth and on the planet?Express your answers using three significant figures separated by a comma. _______ N
The mass of the Sun is 2 × 10³⁰0 kg, and the mass of Mercury is 3.3 × 10²³ kg. The distance from the center of mass of the Sun to the center of mass of Mercury is 4.8 x 10¹⁰ m. a. Calculate the magnitude of the gravitational force exerted by the Sun on Mercury. b. What is the magnitude of the gravitational force exerted by Mercury on the Sun?