Given time, distance and weight, how do I calculate work?

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Homework Help Overview

The problem involves calculating the work done by a worker lifting blocks of cement to a height of 8 meters. Each block weighs 1.50 x 10² Newtons, and the worker carries 2 blocks every minute. The inquiry focuses on determining the total work done over specified time intervals.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between weight, force, and distance in the context of work. Questions arise regarding the correct application of formulas and the interpretation of weight versus mass. Some participants explore how to account for time in the calculation of total work.

Discussion Status

There is ongoing exploration of the concepts involved, with participants questioning the assumptions about weight and the application of formulas. Some guidance has been offered regarding the calculations needed to determine work done over time, but no consensus has been reached on the final approach.

Contextual Notes

Participants note potential confusion regarding the weight of the blocks and the implications of time on the total work calculation. There is also a mention of unit considerations in the context of the work formula.

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Homework Statement



a worker who carries blocks of cement from a flight of stairs to an apparatus that is 8 meters high. Every block weighs 1.50 x 10 to the second power Newtons and the worker carries 2 blocks every minute. How much work will he realize in 10 minutes and in 60 minutes?


Homework Equations


W=Fd
(i honestly don't know what else)
maybe the weight formula W=mg


The Attempt at a Solution



I honestly have no clue... >_<
 
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Hi fixedglare :smile:

welcome to PF

Can you tell what is making the worker spend energy?
 
The weight of the blocks?
 
How much work does it take to raise a single block weighting 150 N to a height of 8 m against gravity?
 
fixedglare said:

Homework Statement



a worker who carries blocks of cement from a flight of stairs to an apparatus that is 8 meters high. Every block weighs 1.50 x 10 to the second power Newtons and the worker carries 2 blocks every minute. How much work will he realize in 10 minutes and in 60 minutes?

Homework Equations


W=Fd
(i honestly don't know what else)
maybe the weight formula W=mg
THINK! You don't use "W= mg" because you are not given m, the mass. You are given the weight, w, of 1500 Newtons, of each block and is to be lifted 8 m. What is the work done to lift one block? He lifts 2 blocks every minute so how many does he lift in 10 minutes? How many in 60 minutes?

The Attempt at a Solution



I honestly have no clue... >_<
You state, above, that W= fd. That is, if you apply a force f over a distance d you do work w. Here the weight (not mass) is w and you must apply the force, wg, a vertical distance h. Here the weight of each block 1500 Newtons and the height is 8 m. So what work is required to lift one 1500 N block a distance 8 meters? (Be carful of the units.)

Two blocks are lifted every minute. How many blocks are lifted in 10 minutes? How many are lifted in 60 minutes.
 
Last edited by a moderator:
chestermiller said:
how much work does it take to raise a single block weighting 150 n to a height of 8 m against gravity?

1200 j
 
HallsofIvy said:
THINK! You don't use "W= mg" because you are not given m, the mass. You are given the weight, w, of 1500 Newtons, of each block and is to be lifted 8 m. What is the work done to lift one block? He lifts 2 blocks every minute so how many does he lift in 10 minutes? How many in 60 minutes?


You state, above, that W= fd. That is, if you apply a force f over a distance d you do work w. Here the weight (not mass) is w and you must apply the force, wg, a vertical distance h. Here the weight of each block 1500 Newtons and the height is 8 m. So what work is required to lift one 1500 N block a distance 8 meters? (Be carful of the units.)

Two blocks are lifted every minute. How many blocks are lifted in 10 minutes? How many are lifted in 60 minutes.

I know how to calculate the work itself by using the force (weight) & the distance with the W=Fd formula, I just don't know what to do with the time.

W= 1200 J

The question about time isn't how many blocks are lifted in 10 or 60 minutes, its how much work is realized that's what I don't understand.


Would it be 1200 J * 600 seconds (10 minutes)?

& 1200 J * 3600 seconds (1 hour ?)
 
HallsofIvy said:
THINK! You don't use "W= mg" because you are not given m, the mass. You are given the weight, w, of 1500 Newtons, of each block and is to be lifted 8 m. What is the work done to lift one block? He lifts 2 blocks every minute so how many does he lift in 10 minutes? How many in 60 minutes?


You state, above, that W= fd. That is, if you apply a force f over a distance d you do work w. Here the weight (not mass) is w and you must apply the force, wg, a vertical distance h. Here the weight of each block 1500 Newtons and the height is 8 m. So what work is required to lift one 1500 N block a distance 8 meters? (Be carful of the units.)

Two blocks are lifted every minute. How many blocks are lifted in 10 minutes? How many are lifted in 60 minutes.

Doesn't the problem statement say 150 N?
 
fixedglare said:
1200 j

If he raises 2 blocks per minute, how many blocks does he raise in 10 minutes? In 60 minutes? How much work does he do all together during these time intervals?
 
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Chestermiller said:
If he raises 2 blocks per minute, how many blocks does he raise in 10 minutes? In 60 minutes? How much work does he do all together during these time intervals?

He raises 20 blocks in 10 minutes, and 120 blocks in 60 minutes.

Do I multiply the amount of blocks per minute to my last result?

20 blocks in 10 mins * 1200 J = 24000 J

120 blocks in an hour * 1200 J = 144000 J

YES! those were the results in my book, thank you so much<3 You're an angel.
 

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