a backpack has a massof 8kg.it is lifted and given 54.9 joules of gravitstional potential energy. how high is it lifted? accelerationdue to gravity is g=98 m/s^2.
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ya fsace niuigga
To find the height to which the backpack is lifted, we can make use of the formula for gravitational potential energy:
Potential Energy = mass × gravity × height
Given:
Mass (m) = 8 kg
Gravitational Potential Energy (PE) = 54.9 J
Acceleration due to Gravity (g) = 98 m/s^2
We need to rearrange the formula to solve for height:
height = PE / (m × g)
Substituting the given values, we have:
height = 54.9 J / (8 kg × 98 m/s^2)
Now, let's calculate the height:
height = 0.0699 m
Therefore, the backpack is lifted to a height of approximately 0.0699 meters.