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Solid Snake is being chased up the communications tower. Solid Snake is 75 kg and is carrying 18 kg of equipment. If Solid Snake climbs 27 flights of stairs, each 5.5 m in height, how much work was done against gravity?

a.
4.04 kJ

b.
109.15 kJ

c.
135.34 kJ

d.
5.01 kJ

Sagot :

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Solid Snake (75 kg) carries 18 kg of equipment. If Solid Snake climbs 27 flights of stairs, each 5.5 m in height, the work done against gravity is 135.34 kJ (c).

What is work?

In physics, work is the energy transferred to or from an object via the application of force along a displacement.

In this problem, the force that does the work is the one that opposes the weight.

  • Step 1: Calculate the total weight of the system.

Solid Snake is 75 kg and is carrying 18 kg of equipment. The total mass is:

m = 75 kg + 18 kg = 93 kg

We can calculate the weight using Newton's second law of motion.

F = m . g = 93 kg . 9.8 m/s² = 911.4 N

  • Step 2: Calculate the total displacement.

Solid Snake climbs 27 flights of stairs, each 5.5 m in height.

27 . 5.5 m = 148.5 m

  • Step 3: Calculate the work done.

We will use the definition of work.

w = F . s = (911.4 N) . (148.5 m) . (1 kJ/1000 J) = 135.34 kJ

Solid Snake (75 kg) carries 18 kg of equipment. If Solid Snake climbs 27 flights of stairs, each 5.5 m in height, the work done against gravity is 135.34 kJ (c).

Learn more about work here: https://brainly.com/question/62183

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