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A crane accelerates a 175 kg load is upward. The tension in the cable is 2000 N. Find the magnitude and direction of the elevator's acceleration.​

User Khashashin
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2 Answers

6 votes

Answer:

a = 1.63 m/s^2

Step-by-step explanation:

m = 176kg

Ft = 2000N

2000 = 175 (9.8) +175(a)

2000 = 1715 +175a

-1715 -1715

285 = 175a

175 175

a = 1.63m/s^2

User Ilia Akhmadullin
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5.4k points
2 votes

Hi there!

We can begin by summing forces acting on the load:

∑F = T - Mg (where g ≈10 m/s²)

ma = T - Mg

We can plug in the given values to solve:

ma = 2000 - 175(10)

175a = 250

a = 250/175 = 1.43 m/s² UPWARDS

User AndreasInfo
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5.6k points