A leaky bucket is being lifted 20 meters. It originally holds 10 kilograms of water, and
at the end of its journey it holds 5 kilos. How much work does it take to lift the bucket?
To find the work done in lifting the leaky bucket, we can use the formula:
Work = Force × Distance
First, we need to determine the force required. The force required to lift the bucket is equal to the weight of the water being lifted.
Weight = mass × gravity
Given that the original weight of the water is 10 kilograms and the final weight is 5 kilograms, and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the force required:
Original weight = 10 kg × 9.8 m/s^2 = 98 N
Final weight = 5 kg × 9.8 m/s^2 = 49 N
Now that we have the force required, we can calculate the work done:
Work = Force × Distance = 49 N × 20 m = 980 J
Therefore, it takes 980 Joules (J) of work to lift the bucket.
To calculate the work done in lifting the bucket, we need to use the formula:
Work = Force × Distance
In this case, the force can be found by calculating the difference in weight (or gravitational force) between the initial and final state of the bucket.
First, let's find the force required to hold the bucket when it is fully filled with water:
Force_initial = mass_initial × acceleration due to gravity
Since the mass_initial is 10 kilograms and the acceleration due to gravity is approximately 9.8 meters per second squared, we can calculate:
Force_initial = 10 kg × 9.8 m/s² = 98 Newtons
Now, let's find the force required to hold the bucket when it contains 5 kilograms of water:
Force_final = mass_final × acceleration due to gravity
The mass_final is 5 kilograms, so we have:
Force_final = 5 kg × 9.8 m/s² = 49 Newtons
Next, we need to find the distance over which the bucket is lifted, which is given as 20 meters.
Now that we have both the force and the distance, we can calculate the work done:
Work = Force × Distance
Work = (Force_initial - Force_final) × Distance
Work = (98 N - 49 N) × 20 m
Work = 49 N × 20 m
Work = 980 Joules
Therefore, it takes 980 Joules of work to lift the bucket.