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__ 2. What force must be applied to roll a 120-pound barrel up an inclined plane 9 feetlong to a height of 3 feet (disregard friction)? (You must show all your work). LIRRE L=length of ramp, measured along the slope I=height of the ramp R=weight of the object to be raised or lowere E-force required to raise or lower the object a. 40 pounds b. 120 pounds c. 360 pounds d. 393 pounds

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__
2. What force must be applied to roll a 120-pound barrel up an inclined plane 9
feetlong to a height of 3 feet (disregard friction)?
(You must show all your work).
LIRRE
L=length of ramp, measured along the slope
I=height of the ramp
R=weight of the object to be raised or lowere
E-force required to raise or lower the object
a. 40 pounds
b. 120 pounds
c. 360 pounds
d. 393 pounds

__ 2. What force must be applied to roll a 120-pound barrel up an inclined plane 9 feetlong to a height of 3 feet (disregard friction)? (You must show all your work). LIRRE L=length of ramp, measured along the slope I=height of the ramp R=weight of the object to be raised or lowere E-force required to raise or lower the object a. 40 pounds b. 120 pounds c. 360 pounds d. 393 pounds

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FflurProfessional · Tutor for 6 years

Answer

a. 40 pounds<br /><br />### Work:<br />Given:<br />- \( R = 120 \) pounds<br />- \( I = 3 \) feet<br />- \( L = 9 \) feet<br /><br />Using the formula:<br />\[ E = \frac{R \times I}{L} = \frac{120 \times 3}{9} = \frac{360}{9} = 40 \text{ pounds} \]

Explain

To solve this problem, we use the principle of mechanical advantage in an inclined plane. The formula for the force required to move an object up an inclined plane is given by \( E = \frac{R \times I}{L} \), where \( R \) is the weight of the object, \( I \) is the height of the ramp, and \( L \) is the length of the ramp.
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