×
Get Full Access to University Physics - 13 Edition - Chapter 4 - Problem 44p
Get Full Access to University Physics - 13 Edition - Chapter 4 - Problem 44p

×

# An astronaut is tethered by a strong cable to a

ISBN: 9780321675460 31

## Solution for problem 44P Chapter 4

University Physics | 13th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

University Physics | 13th Edition

4 5 1 399 Reviews
18
0
Problem 44P

An astronaut is tethered by a strong cable to a spacecraft. The astronaut and her spacesuit have a total mass of 105 kg, while the mass of the cable is negligible. The mass of the spacecraft is 9.05 × 104 kg. The spacecraft is far from any large astronomical bodies, so we can ignore the gravitational forces on it and the astronaut. We also assume that both the spacecraft and the astronaut are initially at rest in an inertial reference frame. The astronaut then pulls on the cable with a force of 80.0 N. (a) What force does the cable exert on the astronaut? (b) Since how can a “massless” (?m? = 0) cable exert a force? (e) What is the astronaut’s acceleration? (d) What force does the cable exert on the spacecraft? (e) What is the acceleration of the spacecraft?

Step-by-Step Solution:

Solution 44P Step 1: Mass of the astronaut (m) = 105 kg Mass of the cable = 0 Mass of the spacecraft (M) = 9.05 x 10 kg Spacecraft is free from astronomical bodies, there is no gravitational pull Problem (a) Step 1: Force applied by the astronaut = 80N Action = reaction Force exerted on the astronaut = 80N Problem (b) Step 1: Even though the mass of the cable is negligible, the rope can exert force on the astronaut due to tension. Problem (c) Step 1: Astronaut’s acceleration (a ) = m = 105 a = 0.762 m/s 2 Problem (d) Step 1: The force exerted on the spacecraft by the rope. Since the rope is massless, the net force on the rope is negligible and the spacecraft will exert the same force exerted by the rope. That is 80 N. Problem (e) Step 1: Acceleration of the spacecraft = M = 80 4 9.05x10 4 2 = 8.84x10 m/s

Step 2 of 1

##### ISBN: 9780321675460

Since the solution to 44P from 4 chapter was answered, more than 380 students have viewed the full step-by-step answer. The answer to “An astronaut is tethered by a strong cable to a spacecraft. The astronaut and her spacesuit have a total mass of 105 kg, while the mass of the cable is negligible. The mass of the spacecraft is 9.05 × 104 kg. The spacecraft is far from any large astronomical bodies, so we can ignore the gravitational forces on it and the astronaut. We also assume that both the spacecraft and the astronaut are initially at rest in an inertial reference frame. The astronaut then pulls on the cable with a force of 80.0 N. (a) What force does the cable exert on the astronaut? (b) Since how can a “massless” (?m? = 0) cable exert a force? (e) What is the astronaut’s acceleration? (d) What force does the cable exert on the spacecraft? (e) What is the acceleration of the spacecraft?” is broken down into a number of easy to follow steps, and 141 words. The full step-by-step solution to problem: 44P from chapter: 4 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: astronaut, spacecraft, cable, Force, mass. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

#### Related chapters

Unlock Textbook Solution