1. A 4-kg particle moves along a circular path having a radius of 3.0 m. At an instant when the speed of the particle is equal to 3.0 m/s and the tangential acceleration is 4.0 m/s2, the magnitude of the net force on the particle (in N) is: *
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![1. A 4-kg particle moves along a circular
path having a radius of 3.0 m. At an instant
when the speed of the particle is equal to
3.0 m/s and the tangential acceleration is
4.0 m/s2, the magnitude of the net force
on the particle (in N) is:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F909268e7-5a29-40f7-8663-8bfd94209d6e%2Ff29ceca8-76c6-4f23-839e-87cbeaa29f8d%2Fxz3ue3l_processed.png&w=3840&q=75)
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- 1. A hoop of radius 0.30 m and a mass of 0.25 kg is released from rest and allowed to roll down an inclined plane. What is the translational speed (v) of the hoop after dropping a vertical distance of 2.60 m? m/s 160 ssf ssf60T3.14 Please help me answer this physics question.35- A solid sphere of mass m and radius r can rotate without slipping along the path shown in the figure. At the height h where the sphere will start its motion from rest, the lowest part of the sphere is higher than the lowest part of the circular part of the road with radius R (R = 5r). What should be the minimum height (h) of the point where the sphere will start to move in order for the sphere to fully circle this circular path?
- A 50.0 kg child stands at the rim of a merry-go-round of radius 1.70 m, rotating with an angular speed of 2.95 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?Problem 14: A rotating platform of radius R = 4.2 cm is initially at rest. It then begins to move, such that a point on its edge experiences a tangential acceleration of at = 5.5 cm/s2. Part (a) Write an expression that gives the radial acceleration on the edge of the platform as a function of time. Part (b) Write an expression for the time at which the magnitudes of the radial and tangential accelerations at the edge will be equal. Part (c) Calculate the time, t in seconds, when the magnitudes of the radial and tangential accelerations are equal.An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.280 rev/s. The magnitude of the angular acceleration is 0.883 rev/s². Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.710 m Express your answer numerically in revolutions per second. ► View Available Hint(s) 0.452 rev/s Submit ✓ Correct Part B Previous Answers Through how many revolutions has the blade turned in the time interval 0.195 s from Part A? Express the number of revolutions numerically. ► View Available Hint(s) 7.14×10-2 rev Submit Previous Answers Correct
- 8. DETAILS Need Help? Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see figure below). One such pendulum is constructed with a string of length L = 11.3 cm and bob of mass 0.230 kg. The string makes an angle 05.06° with the vertical. T (a) What is the radial acceleration of the bob? magnitude m/s2 direction inward m Bob Read It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (b) What are the horizontal and vertical components of the tension force exerted by the string on the bob? (Assume radially inward to be the positive x axis and vertically upward to be the positive y axis. Express your answer in vector form.) T= NProblem 14: A rotating platform of radius R = 4.2 cm is initially at rest. It then begins to move, such that a point on its edge experiences a tangential acceleration of at = 5.5 cm/s2. Part (a) Write an expression (using variables) that gives the radial acceleration on the edge of the platform as a function of time. Part (b) Write an expression (using variables) for the time at which the magnitudes of the radial and tangential accelerations at the edge will be equal.Chapter 5 Problem 8: BIO Ultracentrifuge You are working in a biology lab and learning to use a new ultracentrifuge for blood tests. The specifications for the centrifuge say that a red blood cell rotating in the ultracentrifuge moves at and has a radial acceleration of 150,000 g’s (that is, 150,000 times ). The radius of the centrifuge is 0.15 m. You wonder if this claim is correct. Support your answer with a calculation.
- At an amusement park, Karen whose mass m is 28.02 is on a car of a Ferris Wheel. The wheel of radius r = 27.45 m is rotating every T = 20.81 s. Find the magnitude of the normal force n on her in N when she is at the lowest point. Keep three significant figures for the answer. g = 9.80 m/s2.18. A car traveling on a flat (unbanked) circular track accelerates uniformly from rest with a tangential acceleration of 1.70-m/s. The car makes it one fourth of the way around the circle before it skids off the track. Determine the coefficient of static friction between the car and the track. Hint: you need to find the total acceleration of the car. Answer: 0.572