Calculate the work required to lift a 20kg object from the floor to a height of 2 meters. Give your answer in Joules
W = M*g*H
g = 9.8 m/s^2
With mass M in kg and height H in meters, the answer will be in Joules.
To calculate the work required to lift an object, we can use the formula:
Work = Force × Distance × cos(θ)
Where:
- Force is the force applied to lift the object,
- Distance is the height the object is lifted, and
- θ is the angle between the applied force and the direction of motion.
In this case, since the object is being lifted vertically, the angle θ between the force and the direction of motion is 0 degrees. The force required to lift the object can be calculated using Newton's second law of motion:
Force = mass × acceleration due to gravity
Given:
Mass of the object (m) = 20 kg
Height (h) = 2 m
Acceleration due to gravity (g) = 9.8 m/s^2
Let's calculate the force and then the work required step-by-step:
1. Calculate the force:
Force = m × g
Force = 20 kg × 9.8 m/s^2
Force = 196 N
2. Calculate the work:
Work = Force × Distance × cos(θ)
Work = 196 N × 2 m × cos(0°)
Work = 196 N × 2 m × 1
Work = 392 Joules
Therefore, the work required to lift a 20kg object from the floor to a height of 2 meters is 392 Joules.
To calculate the work required to lift an object, we can use the formula:
Work = Force × Distance
The force required to lift the object can be calculated using the formula:
Force = mass × acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2. Thus, the force required to lift the object is:
Force = 20 kg × 9.8 m/s^2 = 196 N
The distance over which the object is lifted is 2 meters.
Now we can calculate the work required:
Work = Force × Distance = 196 N × 2 m = 392 Joules
Therefore, the work required to lift a 20kg object from the floor to a height of 2 meters is 392 Joules.