Ella has a mass of 56 kg, and Tyrone has a mass of 68 kg. Ella is standing at the top of a skateboard ramp that is 1.5 meters tall. Which conclusion is best supported by the given information?

If Tyrone stands at the top of the same ramp, his potential energy will be less than Ella’s.
If Tyrone stands at the top of a 1 m high ramp, his potential energy will be greater than Ella’s.
If Tyrone stands at the top of the same ramp, his potential energy will be the same as Ella’s.
If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella’s.

The correct answer is the last statement that if Tyrone stands at the top of a two meter high ramp, the potential energy of Tyrone will be greater in comparison to Ella.

Explanation:

The energy possessed by an object due to its position is termed as its potential energy. The formula for calculating potential energy is,  

Potential energy = mgh, where m is mass, g is gravity, and h is height.  

The respective masses of Ella and Tyrone as mentioned in the question is 56 Kg and 68 Kg. By looking at all the conditions as mentioned in the given options we get,  

1) When both Ella and Tyrone are standing at the same ramp height:  

Potential energy of Ella = 56*9.8*1.5 = 823.2J (The value of g is 9.8 m.s^-2)

Potential energy of Tyrone = 68*9.8*1.5 = 999.6J

Thus, when both are standing at the same ramp height, the potential energy of Tyrone will be more than Ella.  

2) When Tyrone stands at the top of 1 m high ramp, and Ella at 1.5 m:  

Potential energy of Ella = 56*9.8*1.5 = 823.2J

Potential energy of Tyrone = 68*9.8*1 = 666.4J

Thus, the potential energy of Tyrone will be less in comparison to Ella.  

3) If Tyrone stands at the top of 2 m high ramp and Ella at 1.5 m:  

Potential energy of Ella = 56*9.8*1.5 = 823.2J

Potential energy of Tyrone = 68*9.8*2 = 1332.8J

Thus, the potential energy of Tyrone will become more than Ella. Hence, the condition mentioned in the last statement is correct.  

D) If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella’s.

Explanation:

On E d g e n u i t y

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