A 4.5 kg can of paint is sitting on top of a 0.8 meter high step ladder.
How much work did you do to move the can of paint to the top of the ladder?
Work = Weight x (Height lifted)
= M g H = 4.5*9.8*0.8 (in Joules)
That is a pretty short stepladder
To calculate the work done in moving the can of paint to the top of the ladder, we need to consider the gravitational potential energy.
The formula for gravitational potential energy is:
Potential Energy = mass * gravity * height
Given:
Mass of the can of paint (m) = 4.5 kg
Height of the ladder (h) = 0.8 meters
The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
So, the work done (W) is the change in potential energy, which is equal to the potential energy at the top minus the potential energy at the bottom:
W = (m * g * h) - (m * g * 0)
Plugging in the values:
W = (4.5 kg * 9.8 m/s^2 * 0.8 m) - (4.5 kg * 9.8 m/s^2 * 0)
W = (4.5 kg * 9.8 m/s^2 * 0.8 m)
W = 35.28 Joules
Therefore, you did approximately 35.28 Joules of work to move the can of paint to the top of the ladder.
To calculate the work done in moving the can of paint to the top of the ladder, we need to use the formula:
Work = Force × Distance × cos(θ)
Where:
- Force is the upward force required to lift the can of paint.
- Distance is the vertical distance the can of paint is lifted.
- θ (theta) is the angle between the applied force and the direction of motion.
Given:
- The can of paint weighs 4.5 kg (mass) on Earth, which can be converted to the force exerted by the object using the gravitational acceleration, g (~9.8 m/s²).
- The vertical distance the can of paint is lifted is 0.8 meters.
1. Calculate the force:
Force = mass × gravitational acceleration
Force = 4.5 kg × 9.8 m/s²
Force = 44.1 Newtons
2. Calculate the work done:
Work = Force × Distance × cos(θ)
In this case, the angle (θ) between the applied force and the direction of motion is 0 degrees since the force is applied vertically upwards.
Work = 44.1 N × 0.8 m × cos(0°)
Work = 44.1 N × 0.8 m × 1
Work = 35.28 Joules
Therefore, to move the can of paint to the top of the ladder, you would have done approximately 35.28 Joules of work.