To calculate the work needed to lift a 5.0 kg backpack to a shelf 1.0 meter above the floor, you can use the formula for gravitational potential energy:
Work (W) = Force (F) × Distance (d)
The force can be calculated using the equation:
F = m * g
Where:
- m = mass (5.0 kg)
- g = acceleration due to gravity (approximately 9.81 m/s²)
Now, calculate the force:
F = 5.0 kg * 9.81 m/s² ≈ 49.05 N
Next, calculate the work done:
W = F * d
W = 49.05 N * 1.0 m = 49.05 joules
So, it would take approximately 49.05 joules of work to lift the 5.0 kg backpack to a shelf 1.0 meter above the floor.