The other end of the rope in the previous question is attached to a 44kg mass. As the boy pulls on the rope, the mass rises 25 cm. How much work is done on the mass?
To calculate the work done on the mass, we can use the formula:
Work = Force * Distance
First, we need to find the force applied to the mass. The force can be calculated using the equation:
Force = mass * acceleration
In this case, the mass of the object attached to the other end of the rope is given as 44 kg.
Next, we need to calculate the acceleration. We know that the mass is being lifted, and the only force acting on it is the force applied by the boy. Using Newton's second law, we can calculate the acceleration:
Force = mass * acceleration
Rearranging the formula, we have:
Acceleration = Force / mass
Here, the force acting on the mass is the weight of the mass, which can be calculated using:
Weight = mass * gravitational acceleration
The gravitational acceleration is usually given as 9.8 m/s^2.
So the weight of the mass is:
Weight = 44 kg * 9.8 m/s^2
Now, we have the force acting on the mass. The next step is to calculate the distance over which the force is applied. Given that the mass rises 25 cm, we need to convert it to meters:
Distance = 25 cm * (1 m / 100 cm)
Finally, we can calculate the work done on the mass using the formula:
Work = Force * Distance
Substitute the values we have found:
Work = Force * Distance
= (44 kg * 9.8 m/s^2) * (25 cm * 1 m / 100 cm)
Simplifying the expression, we get the work done on the mass.