Two equal forces applied to a rotating rod, one very close to the axis and one far from the axis. Which force produces the largest torque?

a. the one closest to the axis
b. the one furthest from the axis

How would you kick a football so that id did not spin end over end?

a. at its center of mass
b. away from the center of mass

Why are doorknobs located on the side of the door away from the hinge?

What is the direction of velocity in Uniform Circular Motion?

What is the direction of acceleration in Uniform Circular Motion?

i think its b for one and a for the second i don't know about the other ones

right on those two.

doornobs: if the force is fartherest from the hinges, it takes less force to open the door.

diection: always perpendiculr to radius of rotation.

direction II: acceleation is along radius of rotation directed inward.

thanks for your help

To find the answers to these questions, let's break them down one by one:

1. Two equal forces applied to a rotating rod:
The torque produced by a force depends on two factors: the magnitude of the force and the perpendicular distance from the axis of rotation. Torque (τ) is given by the equation τ = r x F, where r is the distance vector from the axis of rotation to the line of action of the force, and F is the force vector. Since both forces are equal, the force furthest from the axis will produce the largest torque since it has a greater perpendicular distance (r) compared to the other force. So, the answer is b.

2. Kicking a football to prevent it from spinning end over end:
To kick a football in such a way that it does not spin end over end, you need to apply the force away from the center of mass. By kicking the ball off-center, you create an angular momentum that prevents the end-over-end spinning motion. So, the answer is b.

3. Location of doorknobs on the side of the door away from the hinge:
Doorknobs are located on the side of the door away from the hinge because it provides a mechanical advantage. When you turn a doorknob, you apply a torque, which rotates the door about its hinge. Placing the doorknob on the opposite side from the hinge increases the distance from the axis of rotation (hinge), resulting in a larger moment arm and easier door operation. So, the answer is to provide a mechanical advantage.

4. Direction of velocity in Uniform Circular Motion:
In uniform circular motion, the direction of velocity is always tangent to the circular path. As an object moves along a circle, its velocity vector changes even though its speed may remain constant. The direction of the velocity vector is always perpendicular to the radius vector of the circle at any given point. So, the direction of velocity in uniform circular motion is tangent to the circle.

5. Direction of acceleration in Uniform Circular Motion:
In uniform circular motion, the acceleration is directed towards the center of the circle. This acceleration is called centripetal acceleration and is required to keep an object moving in a circle. The centripetal acceleration is always perpendicular to the velocity vector and points toward the center of the circle. So, the direction of acceleration in uniform circular motion is towards the center of the circle.

Based on the explanations above, for the first two questions, you are correct with your answers (b and a, respectively).