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.A.6.9 mB.0.7 mC.3.2 mD.0.15 mSUBMITarrow_backPREVIOUS
Question
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.A.6.9 mB.0.7 mC.3.2 mD.0.15 mSUBMITarrow_backPREVIOUS
Solution
The formula for gravitational potential energy is:
E = mgh
where: E = energy (in joules) m = mass (in kilograms) g = acceleration due to gravity (in m/s²) h = height (in meters)
We are given: E = 54.9 J m = 8 kg g = 9.8 m/s²
We need to solve for h. Rearranging the formula gives:
h = E / (mg)
Substituting the given values gives:
h = 54.9 J / (8 kg * 9.8 m/s²) = 0.7 m
So, the backpack is lifted 0.7 meters high. The answer is B.0.7 m.
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