A body of mass 10kg falls from a height of 5m above the ground what is the kinetic energy of the body just before its strike the ground. Weight loss of energy and take g=10m/s^2.
m g h = 10 * 10 * 5 = 500 Joules
because
kinetic energy gained = potential energy lost
To find the kinetic energy of the body just before it strikes the ground, you need to calculate the potential energy it possesses at the initial position and convert it to kinetic energy.
The potential energy of the body at a height of 5m above the ground can be calculated using the formula:
Potential Energy (PE) = mass (m) * gravitational acceleration (g) * height (h)
Given:
Mass (m) = 10kg
Gravitational acceleration (g) = 10m/s^2
Height (h) = 5m
Plugging in the values, we get:
PE = 10kg * 10m/s^2 * 5m
PE = 500 Joules
The potential energy of the body at the initial position is 500 Joules.
Since there is no loss of energy, this potential energy will be converted entirely into kinetic energy just before it strikes the ground. Therefore, the kinetic energy of the body just before it strikes the ground will also be 500 Joules.
To find the kinetic energy of the body just before it strikes the ground, we need to use the equation for gravitational potential energy and the equation for kinetic energy.
Gravitational potential energy (PE) is given by the formula PE = mgh, where m is the mass of the body, g is the acceleration due to gravity, and h is the height.
Kinetic energy (KE) is given by the formula KE = (1/2)mv^2, where m is the mass of the body and v is the velocity.
In this case, the body falls from a height of 5m above the ground. Since the body is falling, its initial velocity is 0 (assuming it starts from rest). Using the equation for potential energy, we have:
PE = mgh
= (10kg)(10m/s^2)(5m)
= 500 Joules
At the moment just before striking the ground, the entire potential energy is converted into kinetic energy. Therefore, the kinetic energy will be equal to the potential energy:
KE = PE
= 500 Joules
Therefore, the kinetic energy of the body just before it strikes the ground is 500 Joules.