Suppose you need to lift a 20 kg box by a height of 1.0 m. (i) You hold the box and lift it vertically up. How much work is done by you? (ii) Instead of lifting the box vertically up, you push it up a 1.0-m-high ramp that makes a 30° degree angle with the horizonal as shown in the figure. Being clever, you choose a ramp with no friction. 1.0 m 30° How much force F is required to push the box up the slope at a constant speed? (iii) What is the percentage of energy saving for the method in (ii) when compared to the method in (i)? Explain your answer quantitatively.
Suppose you need to lift a 20 kg box by a height of 1.0 m. (i) You hold the box and lift it vertically up. How much work is done by you? (ii) Instead of lifting the box vertically up, you push it up a 1.0-m-high ramp that makes a 30° degree angle with the horizonal as shown in the figure. Being clever, you choose a ramp with no friction. 1.0 m 30° How much force F is required to push the box up the slope at a constant speed? (iii) What is the percentage of energy saving for the method in (ii) when compared to the method in (i)? Explain your answer quantitatively.
An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter4: Work And Energy
Section: Chapter Questions
Problem 16SA: Two students throw identical snowballs from the same height; both snowballs having the same initial...
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For this the final answer should be zero? The work done should not change regardless of its directions?
Transcribed Image Text:Suppose you need to lift a 20 kg box by a height of 1.0 m.
(i) You hold the box and lift it vertically up. How much work is done by you?
(ii) Instead of lifting the box vertically up, you push it up a 1.0-m-high ramp
that makes a 30° degree angle with the horizonal as shown in the figure.
Being clever, you choose a ramp with no friction.
1.0 m
30°
How much force F is required to push the box up the slope at a constant
speed?
(iii) What is the percentage of energy saving for the method in (ii) when
compared to the method in (i)? Explain your answer quantitatively.
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