How much work is done when a mass of 3kg is lifted vertically through 6m
as before, work = force * distance
3 kg * 9.81 m/s^2 * 6 m
on earth approximately
To calculate the work done when lifting a mass vertically, you can use the formula:
Work = Force × Distance × cos(θ)
Where:
- Work is the amount of work done (in joules, J)
- Force is the force applied to lift the mass (in newtons, N)
- Distance is the vertical distance over which the mass is lifted (in meters, m)
- θ is the angle between the force and the direction of motion (in this case, it is 0 degrees as the force is applied vertically)
In this case, the mass being lifted is 3 kg and the vertical distance is 6 m. To calculate the force required to lift the mass, we need to use the gravitational force formula:
Force = Mass × Acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.8 m/s².
So, the force can be calculated as:
Force = 3 kg × 9.8 m/s² = 29.4 N
Substituting the values into the work formula:
Work = 29.4 N × 6 m × cos(0°)
Since cos(0°) = 1, the equation simplifies to:
Work = 29.4 N × 6 m = 176.4 J
Therefore, when a mass of 3 kg is lifted vertically through 6 m, the amount of work done is 176.4 joules.