a stone of mass 10kg falls from a height of 2m calculate the workdone
Work=mgh
=10*10*2
=200j
196 J
m g h = 100 * 9.81 * 2 Joules
which is obviously not 196
Physics
Msugter
Work done=mgh
=10*10*2
=200j
To calculate the work done when a stone falls from a height, we need to use the formula:
Work (W) = Force (F) x Distance (D) x cosine(theta)
Where:
- Force (F) is the gravitational force acting on the stone, which can be calculated using Newton's second law: F = m x g, where m is the mass of the stone and g is the acceleration due to gravity (approximately 9.8 m/s^2).
- Distance (D) is the vertical distance the stone falls, which in this case is 2m.
- theta is the angle between the force vector and the displacement vector. Since the force is acting vertically downward, and the displacement is in the same direction, theta is zero degrees and the cosine of zero degrees is 1.
Plugging in the values:
F = 10 kg x 9.8 m/s^2 = 98 N
D = 2 m
theta = 0 degrees
W = 98 N x 2 m x cos(0)
W = 98 N x 2 m x 1
W = 196 Joules (J)
Therefore, the work done when a stone of mass 10 kg falls from a height of 2 m is 196 Joules.