A 1140-kg car is held in place by a light cable on a very smooth (frictionless)

Question

A 1140-kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in the figure (Figure 1) . The cable makes an angle of 31.0 above the surface of the ramp, and the ramp itself rises at 25.0 above the horizontal. (part A- C) needed please

PART A -Draw the force vectors with their tails at the front bumper of the car. The location and orientation of your vectors will be graded. The exact length of your vectors will not be grade

PART B-Find the tension in the cable.

ANSWER T = ___________ N

PART C - How hard does the surface of the ramp push on the car?

ANSWER N = _____________ N

Explanation / Answer

given,

mass = 1140 kg

angle of ramp = 25 degree

angle of rope = 31 degree

since the car is at rest so net force on it will be 0

mg * sin(25) = T * cos(31)

1140 * 9.8 * sin(25) = T * cos(31)

T = 5508.2493 N

tension i the cable = 5508.2493 N

normal force on the car = mg * cos(25) + T * sin(31)

normal force on the car = 1140 * 9.8 * cos(25) + 5508.2493 * sin(31)

surface pushes car with the force of 12962.2287 N

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