11. You did 150. J of work lifting a 120.-N backpack.
a. How high did you lift the backpack?
b. How much did the backpack weigh in pounds? (Hint: There are 4.448 N in one pound.)
30
work=weight*height
weigh=120N*1lb/4.448N
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To calculate the height you lifted the backpack, you can use the formula:
Work = Force × Distance
Given:
Work = 150 J (Joules),
Force = 120 N (Newtons),
Distance = ?
Rearranging the formula above, we have:
Distance = Work / Force
Plugging in the values, we get:
Distance = 150 J / 120 N
Dividing 150 J by 120 N, we find:
Distance ≈ 1.25 meters
a. Therefore, you lifted the backpack approximately 1.25 meters high.
To calculate the weight of the backpack in pounds, you can use the conversion factor provided in the hint:
1 pound = 4.448 N
Given:
Weight (in Newtons) = 120 N,
Weight (in pounds) = ?
To convert from Newtons to pounds, we divide the weight in Newtons by the conversion factor:
Weight (in pounds) = Weight (in Newtons) / 4.448
Plugging in the values, we have:
Weight (in pounds) = 120 N / 4.448
Dividing 120 N by 4.448, we find:
Weight (in pounds) ≈ 26.96 pounds
b. Therefore, the backpack weighed approximately 26.96 pounds.