1. A particle moves a distance of 150ft along a straight line. As it moves, it is acted upon by aconstant force of magnitude 10lb in a direction opposite to that of the motion. What is the workdone by the force?2. A force of 30N is required to maintain a spring stretched from its natural length of 12cm to alength of 15cm. How much work is done in stretching the spring from 16cm to 25cm?3. The density of water is 1000kg/m^3, and the force of gravity is 9.8m/s^2. An aquarium is 6mlong, 1m wide, and 1m deep. The aquarium is full of water. Find the work needed to pump thetop half of the water out of the aquarium.

As per our honor code, we are answering only the first question. The distance traveled by the…

1. A particle moves a distance of 150ft along a straight line. As it moves, it is acted upon by a constant force of magnitude 10lb in a direction opposite to that of the motion. What is the work done by the force?

1. A particle moves a distance of 150ft along a straight line. As it moves, it is acted upon by a constant force of magnitude 10lb in a direction opposite to that of the motion. What is the work done by the force?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

1. A particle moves a distance of 150ft along a straight line. As it moves, it is acted upon by a
constant force of magnitude 10lb in a direction opposite to that of the motion. What is the work
done by the force?
2. A force of 30N is required to maintain a spring stretched from its natural length of 12cm to a
length of 15cm. How much work is done in stretching the spring from 16cm to 25cm?
3. The density of water is 1000kg/m^3, and the force of gravity is 9.8m/s^2. An aquarium is 6m
long, 1m wide, and 1m deep. The aquarium is full of water. Find the work needed to pump the
top half of the water out of the aquarium.

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