If 2.0 J of work is done in raising 180 g apple how is it lifted?
Please if you answer, do it step by step.
Thanks in advance.
To determine how the apple is lifted, we need to use the formula for work done:
Work = force × distance × cosine(angle)
Where:
- Work is given as 2.0 J
- force is the force applied to lift the apple
- distance is the vertical height the apple is lifted
- angle is the angle between the force applied and the direction of motion (which in this case is 0 degrees, as the force is directly upwards)
Step 1: Convert the mass of the apple from grams to kilograms:
180 g = 0.180 kg
Step 2: Calculate the gravitational force acting on the apple using the formula:
force = mass × acceleration due to gravity
force = 0.180 kg × 9.8 m/s^2
force ≈ 1.764 N
Step 3: Rearrange the formula for work done:
Work = force × distance × cosine(angle)
Step 4: Since the force is acting directly upward, the angle cosine(angle) is equal to 1. Therefore, we can simplify the formula to:
Work = force × distance
Step 5: Rearrange the formula to solve for distance:
distance = Work / force
Step 6: Calculate the distance using the given values:
distance = 2.0 J / 1.764 N
distance ≈ 1.133 meters
Therefore, the apple is lifted approximately 1.133 meters.
To determine how the apple is lifted, we need to calculate the force applied and the distance over which it is applied. We can do this by using the formula for work:
Work = Force x Distance
Given:
Work = 2.0 J
Mass of apple = 180 g = 0.18 kg
1. First, we need to calculate the force required to lift the apple. We can use the formula:
Force = Work / Distance
Since we are given the work (2.0 J), we need to determine the distance over which the force is applied.
2. The distance over which the force is applied is directly related to the height the apple is lifted. However, we need additional information to determine the distance.
Once we have the distance, we can substitute it into the force formula to calculate the force required to lift the apple.
Please provide any additional information regarding the height or distance over which the apple is lifted so that we can proceed with the calculation.