What is my potential energy if I weigh 60kg and I jump 3 meters in the air?
Gravitational potential energy, relative to ground level, is mgh=60kg*9.8N/kg*3m=60*9.8*3 joules
Your formula is correct and it gives us pleasure to see you have shown your work.
You still need to do the multiplication, of course
To calculate your potential energy when you jump, you need to use the formula for gravitational potential energy:
Potential Energy = mass * gravity * height
Here's how you can calculate it:
1. Determine the mass: You mentioned that you weigh 60 kg, so your mass is 60 kg.
2. Identify the height: In this case, it is the height you jumped, which is 3 meters.
3. Determine the acceleration due to gravity: On Earth, the standard value for acceleration due to gravity is approximately 9.8 m/s².
Now we can plug in these values into the formula:
Potential Energy = mass * gravity * height
Potential Energy = 60 kg * 9.8 m/s² * 3 m
Potential Energy = 1764 Joules
Therefore, your potential energy when you jump 3 meters in the air would be 1764 Joules.