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Chapter 4: Problem 46

Find and compare the weight of a \(65-\mathrm{kg}\) man on Earth with the weight of the same man on (a) Mars, where \(g=3.7 \mathrm{N} / \mathrm{kg}.\) (b) Venus, where \(g=8.9 \mathrm{N} / \mathrm{kg} ;\) and (c) Earth's Moon, where \(g=1.6 \mathrm{N} / \mathrm{kg}.\)

Short Answer

Expert verified
Answer: The 65 kg man weighs the least on Earth's Moon, with a weight of 104 N.

Step by step solution

01

Calculate the weight on Earth.

Recall that the gravitational acceleration on Earth is approximately \(9.81 \mathrm{N} / \mathrm{kg}.\) We'll first calculate the weight of the man on Earth. Weight on Earth = Mass * Gravitational Acceleration on Earth Weight on Earth = \(65 \mathrm{kg} * 9.81 \mathrm{N} / \mathrm{kg} = 637.65 \mathrm{N}\)
02

Calculate the weight on Mars.

Next, we'll calculate the weight of the man on Mars using the given gravitational acceleration of \(3.7 \mathrm{N} / \mathrm{kg}.\) Weight on Mars = Mass * Gravitational Acceleration on Mars Weight on Mars = \(65 \mathrm{kg} * 3.7 \mathrm{N} / \mathrm{kg} = 240.5 \mathrm{N}\)
03

Calculate the weight on Venus.

Now, we'll calculate the weight of the man on Venus using the given gravitational acceleration of \(8.9 \mathrm{N} / \mathrm{kg}.\) Weight on Venus = Mass * Gravitational Acceleration on Venus Weight on Venus = \(65 \mathrm{kg} * 8.9 \mathrm{N} / \mathrm{kg} = 578.5 \mathrm{N}\)
04

Calculate the weight on Earth's Moon.

Finally, we'll calculate the weight of the man on Earth's Moon using the given gravitational acceleration of \(1.6 \mathrm{N} / \mathrm{kg}.\) Weight on Moon = Mass * Gravitational Acceleration on Moon Weight on Moon = \(65 \mathrm{kg} * 1.6 \mathrm{N} / \mathrm{kg} = 104 \mathrm{N}\)
05

Compare the weights on each celestial body.

We have calculated the man's weight on Earth, Mars, Venus, and Earth's Moon. Let's now compare these weights: - Weight on Earth: 637.65 N - Weight on Mars: 240.5 N - Weight on Venus: 578.5 N - Weight on Moon: 104 N The man weighs the most on Earth (637.65 N) and the least on Earth's Moon (104 N).

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Most popular questions from this chapter

Felipe is going for a physical before joining the swim team. He is concerned about his weight, so he carries his scale into the elevator to check his weight while heading to the doctor's office on the 21 st floor of the building. If his scale reads \(750 \mathrm{N}\) while the elevator has an upward acceleration of \(2.0 \mathrm{m} / \mathrm{s}^{2},\) what does the nurse measure his weight to be?
Oliver has a mass of \(76.2 \mathrm{kg} .\) He is riding in an elevator that has a downward acceleration of \(1.37 \mathrm{m} / \mathrm{s}^{2} .\) With what magnitude force does the elevator floor push upward on Oliver?
An \(85-\mathrm{kg}\) skier is sliding down a ski slope at a constant velocity. The slope makes an angle of \(11^{\circ}\) above the horizontal direction. (a) Ignoring any air resistance, what is the force of kinetic friction acting on the skier? (b) What is the coefficient of kinetic friction between the skis and the snow?
A box full of books rests on a wooden floor. The normal force the floor exerts on the box is \(250 \mathrm{N}\). (a) You push horizontally on the box with a force of \(120 \mathrm{N},\) but it refuses to budge. What can you say about the coefficient of static friction between the box and the floor? (b) If you must push horizontally on the box with a force of at least \(150 \mathrm{N}\) to start it sliding, what is the coefficient of static friction? (c) Once the box is sliding, you only have to push with a force of \(120 \mathrm{N}\) to keep it sliding. What is the coefficient of kinetic friction?
Two canal workers pull a barge along the narrow waterway at a constant speed. One worker pulls with a force of \(105 \mathrm{N}\) at an angle of \(28^{\circ}\) with respect to the forward motion of the barge and the other worker, on the opposite tow path, pulls at an angle of \(38^{\circ}\) relative to the barge motion. Both ropes are parallel to the ground. (a) With what magnitude force should the second worker pull to make the sum of the two forces be in the forward direction? (b) What is the magnitude of the force on the barge from the two tow ropes?
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