Object A has twice the mass of object B. If object B is 4m above the floor and object A is 2m above the floor, which one has greater potential energy?

Object A has greater potential energy because it is higher above the floor. The potential energy of an object is directly proportional to its height above the reference point (in this case, the floor), so the higher the object is, the greater its potential energy.

Potential energy is given by the formula: PE = mgh

where:
- PE is potential energy
- m is mass
- g is acceleration due to gravity (9.8 m/s²)
- h is height

Let's calculate the potential energy of each object:

Object A:
Mass: 2m (since it has twice the mass of B)
Height: 2m

Potential energy of object A (PE_A):
PE_A = mgh = (2m) - (9.8 m/s²) - (2m) = 39.2 J

Object B:
Mass: m
Height: 4m

Potential energy of object B (PE_B):
PE_B = mgh = (m) - (9.8 m/s²) - (4m) = 39.2 J

Comparing the potential energies:

PE_A = PE_B = 39.2 J

Conclusion:

Both objects have the same potential energy. This is because the effect of object A's greater mass is offset by its lower height.