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A backpack has a mass of 8 kg. It is lifted and given 54.9 J of gravitational potential energy. How high is it lifted? Acceleration due to gravity is g = 9.8 m/s2.

Verified Answer :

Potencial Energy=hma
Where
Potencial Energy =E= 54.9J
h=?
m=8kg
a=9.8m/s^2
You need to know that 1 J=1(kgm^2)/s^2

Isolate h=E/(ma)
h=(54.9)/(8*9.8)

facundo3141592

Answer: The potential energy for a lifted object is U = mah

where m is the mass, h is the height and a is the acceleration.

in our problem the mass is m = 8kg, the height is the thing we want to find, a is the gravitational acceleration, 9.8 m/s^2 and U = 54.9j

then our problem is:

54.9j = h9.88 kgm/s^2

then h = 54.9/(9.88) = 0.7m

Then the backpack is lifted 0.7 meters.

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