Problemas
8. Which object has the greatest gravitational potential energy? a) 0.25 kg ball stuck in a tree 2 m above the ground b) 100 kg rock sitting on the earth c) 1 kg box resting on a shelf 5 m above the earth
Roztwór
Gregorio
veterano · Tutor durante 9 años
4.2
(275 Votos)
Respuesta
The object with the greatest gravitational potential energy is 'C', the 1 kg box resting on a shelf 5 m above the earth.
Explicación
## Step 1The gravitational potential energy of an object is given by the formula:###
where
is the mass of the object,
is the acceleration due to gravity, and
is the height of the object above the ground.## Step 2We need to calculate the gravitational potential energy for each of the given objects using the formula.## Step 3For the 0.25 kg ball stuck in a tree 2 m above the ground, the gravitational potential energy is calculated as:###
## Step 4For the 100 kg rock sitting on the earth, the gravitational potential energy is calculated as:###
## Step 5For the 1 kg box resting on a shelf 5 m above the earth, the gravitational potential energy is calculated as:###
## Step 6Comparing the gravitational potential energy of all three objects, the 1 kg box resting on a shelf 5 m above the earth has the greatest gravitational potential energy.