A. car B. bucket C. moon

1. For each of the examples above, identify what is providing the centripetal force.

2. Suppose the string holding the bucket breaks.

a. Describe the path the bucket will take.

b. Describe why it will take the path you describe. (Hint: describe in terms of force)

c. Which of Newton's Laws supports your answer to part b? Why?

3. Does Earth rotate or revolve around its axis?

4. Which U.S. state has the biggest tangential speed? Why?

what are your answers? I can easily critique.

1. For each of the examples, let's identify what is providing the centripetal force:

A. In the case of a car, the tires gripping the road provide the centripetal force, as they allow the car to turn and change its direction.
B. In the case of a bucket, if it is being swung around in a circular motion, the force would come from the person swinging it. The person's hand exerts the centripetal force on the handle of the bucket to keep it moving in a circle.
C. For the moon, the centripetal force is provided by the gravitational pull of the Earth. This force keeps the moon in its orbit around the Earth.

2. Suppose the string holding the bucket breaks.

a. If the string holding the bucket breaks, the bucket will continue to move in a straight line tangent to its original circular path.
b. The bucket will take this path because once the string breaks, there is no longer a force acting on it towards the center of the circle. According to Newton's first law of motion (also known as the law of inertia), an object in motion will continue in a straight line at a constant speed unless acted upon by an external force. In this case, without the centripetal force from the string, the bucket will move tangentially in a straight line.
c. Newton's first law of motion, also known as the law of inertia, supports the answer to part b. The bucket continues in a straight line due to its inertia, as there is no external force acting upon it to change its motion after the string breaks.

3. The Earth rotates around its axis.

4. The concept of tangential speed can be understood as the linear speed of an object traveling in a circular path at a given point. The tangential speed of a point on the Earth's surface can be calculated by dividing the circumference of the Earth by the time it takes to complete one rotation. However, since the Earth rotates at a constant speed, regardless of location, every point on the Earth's surface experiences the same tangential speed. Therefore, all states in the U.S. have the same tangential speed.