With the 0.02 kg mass gdanfling over the pulley, show by algebra how you would determine the work done ON the system. Use equation of work = force x displacement
To determine the work done on the system, we need to calculate the force and displacement involved.
Given:
Mass (m) = 0.02 kg
Acceleration due to gravity (g) = 9.8 m/s²
To find the force involved, we need to calculate the weight of the mass hanging over the pulley. The weight can be calculated using the formula:
Weight (W) = m * g
Substituting the given values:
Weight (W) = 0.02 kg * 9.8 m/s²
W = 0.196 N
The force acting on the system is equal to the weight, so the force (F) = 0.196 N.
Next, we need to determine the displacement of the system. Since the mass is being lifted, the displacement is the distance the mass is lifted upwards.
Let's assume the mass is lifted vertically upwards by a certain height for simplicity, which we will represent as 'h'. The displacement (d) = h.
Now, we can calculate the work done on the system using the equation of work:
Work = Force * Displacement
W = F * d
Substituting the values:
W = 0.196 N * h
Therefore, the work done on the system is equal to 0.196 N multiplied by the height (displacement) to which the mass is lifted.