228k views
0 votes
A weight lifter lifts 100 kg of mass from the floor to a position above her head, 2.2 meters off the floor. How much work did she do on the mass? A. 220 J B. 2,200 J C. 220,000 J D. 22,000 J

2 Answers

5 votes

Final answer:

The weightlifter did approximately 2156 joules of work on the mass.

Step-by-step explanation:

To calculate the work done by the weightlifter, we can use the formula:

Work = force x distance

The force can be calculated using the formula:

Force = mass x acceleration due to gravity

Substituting the given values, we have:

Force = 100 kg x 9.8 m/s^2 = 980 N

The distance is given as 2.2 meters.

So, the work done is:

Work = 980 N x 2.2 m = 2156 J

Therefore, the weightlifter did approximately 2156 joules of work on the mass. Answer choice B, 2,200 J, is the closest to the calculated value.

User Kirancodify
by
7.9k points
2 votes

Final answer:

The Physics problem on work done by the weightlifter is solved using the formula W = mgh. The answer is 2,200 J (option B), which is obtained by calculating the work done in lifting a 100 kg mass to a height of 2.2 meters with the acceleration due to gravity being 9.8 m/s^2.

Step-by-step explanation:

The subject of this question is Physics, and it pertains to the work done by lifting an object. The formula to calculate work done (W) in lifting an object is given by W = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s2 on Earth), and h is the height the object is lifted. In this scenario, the weightlifter lifts a mass of 100 kg to a height of 2.2 meters. Using the formula, W = 100 kg * 9.8 m/s2 * 2.2 m, which equals 2,156 J. Since we don't have this exact number in the choices given, we round it to the nearest option, which is 2,200 J (B).

User Image
by
7.4k points