Question

The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. A 25-kg object has 980 joules of potential energy when it is 4 meters off the ground. Another object has 150 joules of potential energy at 3 meters off the ground. What is the mass of the second object? Round to two decimal places.

0.32 kilogram
2.88 kilograms
5.10 kilograms
45.90 kilograms

Answer 1

so gravitational potential energy = \[M*g*H\] where we can say g = 10m/s^2

For this second object we know the height is 3 meters off the ground, we know that g = 10 or 9.8 whichever you pick, so plug in and solve for M
\[150 = 3*9.8*M\] solve for M

Answer 2

@isry subject change to physics please

Answer 3

If the formula of Potential Energy is \[E=mgh\] and m is the mass that means, \[g\] The gravitational and h the height, We know that the potential energy of the object is 150 Joules at 3 meters h, That being said \[m=E/(g*h)\], So \[g=9.8 m/s^2\] After you do that you would get \[m=150/9.8/3=5.102\]

(Rounding) \[5.10 kg\]