A 4 kg toy bus on a table has a potential energy of 80 J and a 8 kg fan hanging from the roof has a potential energy of 320 J.Find the height from the table to the fan.9 m18 m2 m2.3 m
Question
A 4 kg toy bus on a table has a potential energy of 80 J and a 8 kg fan hanging from the roof has a potential energy of 320 J.Find the height from the table to the fan.9 m18 m2 m2.3 m
Solution
The potential energy (PE) of an object can be calculated using the formula:
PE = mgh
where: m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s² on Earth), and h is the height of the object above the ground.
Given that the toy bus has a mass of 4 kg and a potential energy of 80 J, we can rearrange the formula to solve for h (the height of the bus above the table):
80 J = 4 kg * 9.8 m/s² * h h = 80 J / (4 kg * 9.8 m/s²) h = 2 m
Similarly, given that the fan has a mass of 8 kg and a potential energy of 320 J, we can solve for h (the height of the fan above the ground):
320 J = 8 kg * 9.8 m/s² * h h = 320 J / (8 kg * 9.8 m/s²) h = 4 m
However, the question asks for the height from the table to the fan. Since the bus is on the table and the fan is hanging from the roof, the height from the table to the fan is the height of the bus plus the height of the fan:
2 m (bus) + 4 m (fan) = 6 m
So, the height from the table to the fan is 6 m.
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