Final answer:
The kinetic energy of a 10 kg object dropped from a height of 100 cm is 98.1 joules, which is calculated using the potential energy formula (PE = m * g * h) and assuming that the gravitational potential energy converts entirely into kinetic energy just before impact.
Step-by-step explanation:
To determine the kinetic energy of a 10 kg object that has been dropped from a height of 100 cm, we can make use of the principle of conservation of energy. At the point of release, the object has gravitational potential energy which is converted to kinetic energy as it falls. The potential energy (PE) at the start can be calculated using the formula PE = m * g * h, where:
- m is the mass of the object,
- g is the acceleration due to gravity, and
- h is the height.
Assuming the standard acceleration due to gravity is 9.81 m/s², the potential energy of the object at 100 cm (1 meter) is:
PE = 10 kg * 9.81 m/s² * 1 m = 98.1 joules (J)
Since there are no other energy losses mentioned (like air resistance), this potential energy will be equal to the kinetic energy (KE) just before impact. So, the kinetic energy of the object just before hitting the ground is 98.1 J.