Calculating Box Mass from Work and Height: 250J, 10.0m, g=9.81m/s^2

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The problem involves calculating the mass of a box lifted 10.0 m with a work input of 250 J. The relevant equation is W = m * g * h, where g is the acceleration due to gravity (9.81 m/s²). The correct rearrangement of the equation to find mass is m = W / (g * h). The calculated mass is approximately 2.55 kg, confirming the solution is accurate despite a minor equation notation error. Understanding the relationship between work, mass, and height is essential for solving similar physics problems.
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Homework Statement



A total work of 250 J is done as a guy pulls a box from the ground up to the attic, 10.0 m above the ground. What is the mass of the box?

W=250J
h=10.0m
g=9.81m/s^2
m=?


Homework Equations



W=m*g*h

The Attempt at a Solution



m=\frac{g*h}{W}=\frac{10*9.81}{250}=2.55kg
 
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woaini said:

Homework Equations



W=m*g*h

The Attempt at a Solution



m=\frac{g*h}{W}=\frac{10*9.81}{250}=2.55kg

check the equation you have written, although the answer is right.

since W=m*g*h
that means m=\frac{W}{g*h}
 
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