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Chapter 7: Problem 73

An intergalactic spaceship is traveling through space far from any planets or stars, where no human has gone before. The ship carries a crew of 30 people (of total mass \(\left.2.0 \times 10^{3} \mathrm{kg}\right) .\) If the speed of the spaceship is \(1.0 \times 10^{5} \mathrm{m} / \mathrm{s}\) and its mass (excluding the crew) is \(4.8 \times 10^{4} \mathrm{kg},\) what is the magnitude of the total momentum of the ship and the crew?

Short Answer

Expert verified
Question: Calculate the magnitude of the total momentum of a spaceship (mass 4.8 x 10^4 kg) and its crew (mass 2.0 x 10^3 kg), given a speed of 1.0 x 10^5 m/s. Answer: The magnitude of the total momentum of the spaceship and its crew is 7.0 x 10^9 kg m/s.

Step by step solution

01

Identify the Given Values

The given values in this problem are the mass of the crew (2.0 x 10^3 kg), the mass of the spaceship (4.8 x 10^4 kg), and the speed of the spaceship (1.0 x 10^5 m/s).
02

Find the Combined Mass of the Spaceship and Crew

To find the combined mass, add the mass of the crew (2.0 x 10^3 kg) and the mass of the spaceship (4.8 x 10^4 kg). Combined Mass = Crew Mass + Spaceship Mass = (2.0 x 10^3 kg) + (4.8 x 10^4 kg)
03

Calculate the Combined Mass

Now, perform the addition: (2.0 x 10^3 kg) + (4.8 x 10^4 kg) = 2.0 x 10^4 kg + 4.8 x 10^4 kg = 7.0 x 10^4 kg
04

Find the Total Momentum

Now that we have the combined mass, we can find the total momentum by multiplying the combined mass by the given speed of the spaceship. Total Momentum = Combined Mass x Speed = (7.0 x 10^4 kg) x (1.0 x 10^5 m/s)
05

Calculate the Total Momentum

Now, perform the multiplication: (7.0 x 10^4 kg) x (1.0 x 10^5 m/s) = 7.0 x 10^9 kg m/s So the magnitude of the total momentum of the ship and the crew is 7.0 x 10^9 kg m/s.

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Most popular questions from this chapter

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