To find the speed of the body when it has fallen a distance of 10m, we can use the equation for gravitational potential energy:
Potential energy (PE) = mgh
Where:
m = mass of the body (2kg)
g = acceleration due to gravity (9.8 m/s^2)
h = height fallen (10m)
Since the body is released from rest, all its initial potential energy is converted into kinetic energy as it falls:
PE = KE
Therefore, we can set up the equation:
mgh = (1/2)mv^2
Where:
v = speed of the body
Simplifying the equation:
2 * 9.8 * 10 = (1/2) * 2 * v^2
196 = v^2
Taking the square root of both sides:
v = √196
v = 14 m/s
Therefore, the speed of the body when it has fallen a distance of 10m is 14 m/s.
A body of mass 2kg is released from rest and falls
freely under gravity. Find its speed when it has
fallen a distance of 10m.
1 answer
1 answer