A 5.8 "kilo" bag of sugar is on a counter. How much work is required to put the bag on a shelf a distance of 0.57 m above the counter?

Work=F*d = (m*g)d=(5.8*9.8)0.57=32.4 J

I need the answer because its so very hard for me .

To calculate the work required to lift the bag of sugar onto the shelf, you need to use the equation:

Work = Force × Distance

First, you need to find the force required to lift the bag. The force can be determined using Newton's Second Law of Motion, which states that force equals mass times acceleration (F = m × a).

The mass of the bag of sugar is given as 5.8 kg, but you mentioned it being a "kilo" bag, which implies it may have a mass of 5.8 lbs (pounds). To convert from pounds to kilograms, we need to use the conversion factor 1 lb = 0.4536 kg. Assuming the mass of the bag is 5.8 lbs:

Mass = 5.8 lbs × 0.4536 kg/lb = 2.63 kg

Next, we need to calculate the force by multiplying the mass by the acceleration due to gravity. The acceleration due to gravity is approximately 9.8 m/s².

Force = Mass × Acceleration due to gravity
Force = 2.63 kg × 9.8 m/s² = 25.774 N (Newton)

Now, we can calculate the work by multiplying the force by the distance the bag is lifted.

Work = Force × Distance
Work = 25.774 N × 0.57 m

Therefore, the work required to put the bag on the shelf is:

Work = 14.6778 Joules (J)

To determine the work required to lift the bag of sugar to the shelf, you need to calculate the gravitational potential energy and use it as a measure of work done. Here are the steps to find the answer:

1. Determine the mass of the bag of sugar. The weight of the bag is given as 5.8 "kilo," which is a weight unit of kilograms. So, the mass of the bag is 5.8 kg.

2. Identify the gravitational field strength. The gravitational field strength on Earth is approximately 9.8 m/s². This value represents the acceleration due to gravity.

3. Calculate the gravitational potential energy. The gravitational potential energy (PE) can be calculated using the following formula: PE = mgh, where m is the mass (5.8 kg), g is the gravitational field strength (9.8 m/s²), and h is the height (0.57 m) the bag is lifted.

PE = (5.8 kg) * (9.8 m/s²) * (0.57 m) = 31.98 J

4. The answer is 31.98 Joules (J). This value represents the amount of work required to lift the 5.8 kg bag of sugar to a height of 0.57 m.