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Answer :
To find the potential energy gained by a ball when it is thrown upwards, we can use the formula for gravitational potential energy:
[tex]\[ \text{Potential Energy (PE)} = m \times g \times h \][/tex]
Where:
- [tex]\( m \)[/tex] is the mass of the ball (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared), and
- [tex]\( h \)[/tex] is the height the ball is raised to (in meters).
Let's plug in the values given in the problem:
1. Mass ([tex]\( m \)[/tex]) = 8.5 kg
2. Acceleration due to gravity ([tex]\( g \)[/tex]) = 9.81 m/s[tex]\(^2\)[/tex]
3. Height ([tex]\( h \)[/tex]) = 16 m
Now, we perform the calculation:
[tex]\[ \text{PE} = 8.5 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times 16 \, \text{m} \][/tex]
[tex]\[ \text{PE} = 1334.16 \, \text{J} \][/tex]
So, the potential energy gained by the ball is approximately [tex]\( 1334.16 \, \text{J} \)[/tex].
Looking at the provided options, the closest match is:
d) [tex]\( 1,334 \, \text{J} \)[/tex]
Therefore, the correct answer is d) 1,334 J.
[tex]\[ \text{Potential Energy (PE)} = m \times g \times h \][/tex]
Where:
- [tex]\( m \)[/tex] is the mass of the ball (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared), and
- [tex]\( h \)[/tex] is the height the ball is raised to (in meters).
Let's plug in the values given in the problem:
1. Mass ([tex]\( m \)[/tex]) = 8.5 kg
2. Acceleration due to gravity ([tex]\( g \)[/tex]) = 9.81 m/s[tex]\(^2\)[/tex]
3. Height ([tex]\( h \)[/tex]) = 16 m
Now, we perform the calculation:
[tex]\[ \text{PE} = 8.5 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times 16 \, \text{m} \][/tex]
[tex]\[ \text{PE} = 1334.16 \, \text{J} \][/tex]
So, the potential energy gained by the ball is approximately [tex]\( 1334.16 \, \text{J} \)[/tex].
Looking at the provided options, the closest match is:
d) [tex]\( 1,334 \, \text{J} \)[/tex]
Therefore, the correct answer is d) 1,334 J.
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