To determine the kinetic energy of the sphere after 5 seconds, we need additional information, such as the height from which it was dropped and whether there are any external forces acting on it.
Assuming no other forces are acting on the sphere except for gravity, we can calculate the potential energy of the sphere initially and convert it into kinetic energy after 5 seconds.
The potential energy of an object at a certain height is given by the equation:
Potential Energy = mass * gravity * height
where:
- mass = 4 kg (given)
- gravity = 9.8 m/s² (approximate acceleration due to gravity on Earth)
- height is the distance the sphere is dropped from (not provided)
Since the height is not given, we cannot determine the exact potential energy. However, assuming the sphere is dropped from rest, we can consider the potential energy at the initial height to be equal to the kinetic energy after 5 seconds. This is due to the conservation of energy, neglecting any energy losses due to factors like air resistance.
Therefore, the kinetic energy of the sphere after 5 seconds would be equal to the potential energy it initially possessed, which depends on the height from which it was dropped.