A 4.6 "kilo" bag of sugar is on a counter. How much work is required to put the bag on a shelf a distance of 0.45 m above the counter
work=mgh=4.6*9.8*.45 joules
To find the amount of work required to put the bag of sugar on the shelf, you need to know the force applied and the displacement.
Work (W) is calculated using the formula:
W = Force × Displacement × cos(θ)
Here, the force we need to calculate is the force required to lift the bag against gravity. The weight of an object can be calculated using the formula:
Weight = mass × gravitational acceleration
In this case, the mass of the bag is given as 4.6 kilograms (kg). The gravitational acceleration is approximately 9.8 meters per second squared (m/s^2).
Weight = 4.6 kg × 9.8 m/s^2
Simplifying the equation, the weight of the bag is approximately 45.08 newtons (N).
Now, we have the force (45.08 N) and the displacement (0.45 meters) between the counter and the shelf.
W = 45.08 N × 0.45 m × cos(θ)
The angle θ is the angle between the displacement vector and the force vector. If the bag is lifted straight up, then θ is 0 degrees, and the cosine of 0 degrees is 1.
W = 45.08 N × 0.45 m × cos(0°)
W = 20.286 Joules (J)
Therefore, approximately 20.286 Joules (J) of work is required to put the 4.6 kg bag of sugar on the shelf a distance of 0.45 meters above the counter.