An object is pulled up an incline plane at a constant velocity as the picture above shows. Calculate the tension on the rope.
A. 377 N
B. 502 N
C. 305 N
D. 545 N

An object is pulled up an incline plane at a constant velocity as the picture above shows Calculate the tension on the rope A 377 N B 502 N C 305 N D 545 N class=

Respuesta :

leena

Hi there!

[tex]\large\boxed{545N}[/tex]

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