You did 150 joules of work lifting a 120-newton backpack.

a. How high did you lift the backpack?

b. How much did the backpack weigh in pounds?

In the given question, we already know Work done = 150 joules Force = 120 Newton Now we know from the study of physics that Distance (D) = Work done / Force (a) To find the height upto which the backpack has been lifted, D = Work done / Force = 150 / 120 = 15 / 12 = 5 / 4 = 1.25 So the backpack was lifted to a height of 1.25 metres. (b) Now we have the find the weight of the backpack in pounds We know that 1 pound = 4.448 Newton So if 4.448 Newton = 1 pound Then 120 Newton = (120 / 4.448) pounds = 26.978 pounds So the backpack weighed 26.98 pounds.

Answered by taskmasters | 2024-06-10

To find the height the backpack was lifted, we can use the formula for work done against gravity, which is work (W) = force (F) × height (h). Given that the work done was 150 joules and the force due to gravity on the backpack is 120 newtons, we can rearrange the formula to solve for height: h = W/F. So:
h = 150 J / 120 N = 1.25 meters
Therefore, the backpack was lifted to a height of 1.25 meters.
To convert the weight of the backpack from newtons to pounds, we use the conversion factor where 1 newton is approximately equal to 0.224809 pounds. Hence:
Weight in pounds = 120 N × 0.224809 lb/N ≈ 26.98 pounds
So the backpack weighs approximately 26.98 pounds.

Answered by Qwshop | 2024-06-24

The backpack was lifted to a height of 1.25 meters, and it weighed approximately 26.98 pounds. This was calculated using the work done and the force of the backpack's weight. The conversion to pounds used the standard conversion factor between newtons and pounds.
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Answered by taskmasters | 2024-11-04