Circular motion, unbalanced-balanced forces

In summary, the conversation discusses various questions related to forces, friction, and acceleration. The first question involves finding the frictional force acting on a box that is pulled with a constant velocity. The third question asks for the coefficient of friction between a table and the floor, given the applied force and angle. In the fifth question, the net force on a truck is calculated in order to make a sudden stop. The seventh question involves finding the time it takes for a box to reach the bottom of a frictionless ramp. The ninth question asks for the net force required to keep a car traveling at a constant speed around a curved path. The eleventh question involves finding the time it takes for a box to reach the bottom of a ramp with a
  • #1
pt20army
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Question 1
A box of mass 5.8 kg is pulled to the right with a horizontal force of 8.2 N. If the box moves to the right with constant velocity of 2.66 m/s, what is the frictional force acting on the box?

Question 3
A person pulls on a 41 kg table with a 215 N force acting at an angle of 39 degrees above the horizon. The desk does not budge. What is the coefficient of friction, between the table and the floor?

Question 5
The driver of a 1085 kg truck traveling 27.0 m/s, North on I-77, has to make a sudden stop. If it requires a distance of 57.7 m for the truck to stop, what is the net force on the truck?

Question 7
A 14 kg box is placed at the top of a 5.1 m long, frictionless ramp inclined at an angle of 35 degrees. How long does it take the box to reach the bottom of the ramp?

Question 9
A 786 kg car travels from Boone to Blowing Rock along US 321. What net force is required to keep the car traveling at a constant speed of 29.1 mph (13 m/s) around a curve of radius 33.5 m?

Question 11
A 14 kg box is placed at the top of a 4.9 m long, ramp inclined at an angle of 35 degrees (with the horizon). However, the ramp is covered with sand so the coefficient of friction is now 0.17. How much time does it take the box to reach the bottom of the ramp?

Question 13
The following forces act on a hockey puck sitting on a frictionless surface: F1 = 10.3 N at 15 degrees; F2 = 26.3 N at 125 degrees; and F3 = 36.4 N at 235 degrees. (All the forces are in the plane of the ice.) What is the net force on the puck?

Question 15
A Modified Atwood’s Machine (the pulley, 2 mass system used in class and in the Modified Atwood physlet) has a 10. N cart on a frictionless, horizontal track with a 10. N hanging weight attached to string connecting the two weights. A second track is set up with the hanging weight replaced by a person who can maintain a 10. N pull on the string (as measured with a force probe). Which set-up has the greater acceleration?
 
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  • #2
Please study the rules for posts on this forum. Like, one thread per question, a statement of the equations you believe you are expected to use, and some attempt at solution. If any diagrams are relevant, post those or a good verbal description.
 
  • #3
Welcome to PF;
You will get the best out of these forums if you show us your best attempt at the problems. That way, we can help you where you most need it.
 

1. What is circular motion?

Circular motion is the movement of an object in a circular path around a fixed point. This type of motion can be seen in objects such as planets orbiting around the sun or a ball moving around in a carnival ride.

2. How do unbalanced forces affect circular motion?

Unbalanced forces can cause an object in circular motion to speed up, slow down, or change direction. This is because unbalanced forces cause an object to accelerate, and in circular motion, this acceleration is directed towards the center of the circle.

3. What is the relationship between circular motion and centripetal force?

Centripetal force is the force that keeps an object in circular motion. It is always directed towards the center of the circle and its magnitude is equal to the object's mass multiplied by its centripetal acceleration. In other words, the faster an object is moving in a circular path, the greater the centripetal force needed to keep it in that motion.

4. How do balanced forces affect circular motion?

When the forces acting on an object in circular motion are balanced, the object will continue to move at a constant speed in a circular path. This is because the net force on the object is zero, and according to Newton's First Law of Motion, an object will remain at rest or in motion with a constant velocity unless acted upon by an unbalanced force.

5. How can circular motion be applied in real life situations?

Circular motion has many real-life applications, such as in the design of roller coasters, centrifuges, and carousels. It is also used in sports, such as figure skating and gymnastics, where athletes perform circular movements. In addition, circular motion is an important concept in understanding the motion of planets and other celestial bodies in our solar system.

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