You are on roller blades on top of a small hill. Your potential energy is equal to 1,000.0 joules. The last time
1 answer:
A) The weight of a person is given by:
where m is the mass of the person and g is the gravitational acceleration. In this problem, the mass of the person is m=60.0 kg, while the value of g is
, therefore the weight of the person is
b) The gravitational potential energy at the top of the hill is U=1000 J. The potential energy is also given by the product between the weight W and the height of the hill h:
If we rearrange the equation, we can calculate the height of the hill, h:
c) At the bottom of the hill, all the potential energy at the top of the hill has converted into kinetic energy:
where m is the mass and v is the speed. If we rearrange the formula, we can calculate the speed at the bottom of the hill:
where m is the mass of the person and g is the gravitational acceleration. In this problem, the mass of the person is m=60.0 kg, while the value of g is
b) The gravitational potential energy at the top of the hill is U=1000 J. The potential energy is also given by the product between the weight W and the height of the hill h:
If we rearrange the equation, we can calculate the height of the hill, h:
c) At the bottom of the hill, all the potential energy at the top of the hill has converted into kinetic energy:
where m is the mass and v is the speed. If we rearrange the formula, we can calculate the speed at the bottom of the hill:
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