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2 years ago

An object is pulled up an incline plane at a constant velocity as the picture above shows. Calculate the tension on the rope.

Physics

1 answer:

WARRIOR [948]2 years ago

6 0

Hi there!

$\large\boxed{545N}$

Since the object is being pulled at a constant velocity, the forces must be balanced.

Since there is no movement vertically, we must take into account the horizontal forces. We can also assume a positive acceleration to be in the direction of motion.

The acceleration and force due to gravity on an incline is:

a = gsinФ

F = MgsinФ

∑F = -MgsinФ + T

Since it is getting pulled at a constant velocity, ∑F = 0. So:

0 = -MgsinФ + T

MgsinФ = T

Solve for T by plugging in values. Let g = 10 m/s²

T = (120)(10)sin(27) ≈ 545 N

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