How much work is done in raising a 16.1 kg backpack from the floor to a shelf 1.82 m above the floor?

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To determine the amount of work done in raising a backpack from the floor to a shelf, we can use the formula:

Work = Force × Distance

First, we need to calculate the force required to lift the backpack. The force required to lift an object is equal to its weight. We can find the weight using the formula:

Weight = Mass × Acceleration due to gravity

The mass of the backpack is given as 16.1 kg. The acceleration due to gravity is approximately 9.8 m/s^2. Therefore, the weight of the backpack is:

Weight = 16.1 kg × 9.8 m/s^2

Now that we have calculated the weight, we can determine the amount of work done by multiplying the weight by the distance the backpack is lifted. The distance is given as 1.82 m. Therefore, the work done is:

Work = Weight × Distance

Work = (16.1 kg × 9.8 m/s^2) × 1.82 m

By plugging in the values and performing the calculation, we can find the work done in raising the backpack from the floor to the shelf.