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Answer :
Sure! Let's solve the problem step-by-step.
We want to find the gravitational potential energy of a bowling ball that is held at a certain height. Gravitational potential energy can be calculated using the formula:
[tex]\[ \text{Potential Energy (PE)} = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared), and
- [tex]\( h \)[/tex] is the height above the ground (in meters).
For our problem:
- The mass of the bowling ball, [tex]\( m \)[/tex], is 7.00 kg.
- The height, [tex]\( h \)[/tex], is 2.00 m.
- The acceleration due to gravity, [tex]\( g \)[/tex], is given as 9.80 m/s².
Now, plug these values into the formula:
[tex]\[ \text{PE} = 7.00 \, \text{kg} \times 9.80 \, \text{m/s}^2 \times 2.00 \, \text{m} \][/tex]
[tex]\[ \text{PE} = 137.2 \, \text{J} \][/tex]
So, the gravitational potential energy of the bowling ball due to its position is 137 J.
Therefore, the correct answer is 137 J.
We want to find the gravitational potential energy of a bowling ball that is held at a certain height. Gravitational potential energy can be calculated using the formula:
[tex]\[ \text{Potential Energy (PE)} = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared), and
- [tex]\( h \)[/tex] is the height above the ground (in meters).
For our problem:
- The mass of the bowling ball, [tex]\( m \)[/tex], is 7.00 kg.
- The height, [tex]\( h \)[/tex], is 2.00 m.
- The acceleration due to gravity, [tex]\( g \)[/tex], is given as 9.80 m/s².
Now, plug these values into the formula:
[tex]\[ \text{PE} = 7.00 \, \text{kg} \times 9.80 \, \text{m/s}^2 \times 2.00 \, \text{m} \][/tex]
[tex]\[ \text{PE} = 137.2 \, \text{J} \][/tex]
So, the gravitational potential energy of the bowling ball due to its position is 137 J.
Therefore, the correct answer is 137 J.
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