Question

What force would you have to exert perpendicular to the center of the rope to produce a force of 11000 N on the car if the angle is 2.00°?

Answer 1

To calculate the force you would have to exert perpendicular to the center of the rope, you can use the equation: F_perpendicular = T*sin(theta), where T is the tension, F is the force on the car, and theta is the angle in radians.

Step-by-step explanation:

To calculate the force you would have to exert perpendicular to the center of the rope, you can use the equation:

1. Start by finding the tension in the rope. You can use the formula: T = F / (2*sin(theta)), where T is the tension, F is the force on the car, and theta is the angle in radians.
2. Then, use the formula: F_perpendicular = T*sin(theta). This will give you the force you need to exert perpendicular to the center of the rope.

In this case, the force on the car is 11000 N and the angle is 2.00°. Converting the angle to radians gives us 0.035 radians. Plugging these values into the equations, we can find the force you need to exert perpendicular to the center of the rope.

F_perpendicular = T*sin(theta) = (11000 N / (2*sin(0.035))) * sin(0.035) = 311.8 N