Problem 7 A small ball with a mass of 0.2 kg is tied to the end of a string and swung through a circular path of radius 1.1 m. The centripetal force keeping the ball moving through a circular path is provided by tension in the string. If the tension is 8 N, what is the speed that the ball is being spun with? Don't forget units!
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- A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with the top end of the cord fixed, as represented in Figure CQ7.5. The bob moves without friction, swinging equally high on both sides. It moves from its turning point A through point B and reaches its maximum speed at point C. (a) At what point does the bob have non-zero radial acceleration and zero tangential acceleration? What is the direction of its total acceleration at this point? (b) At what point does the bob have nonzero tangential acceleration and zero radial acceleration? What is the direction of its total acceleration at this point? (c) At what point does the bob have both nonzero tangential and radial acceleration? What is the direction of its total acceleration at this point? Figure CQ7.5A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with the top end of the cord fixed, as represented in Figure OQ6.4. The bob moves without friction, swinging equally high on both sides. It moves from its turning point A through point B and reaches its maximum speed at point C. (a) Of these points, is there a point where the bob has nonzero radial acceleration and zero tangential acceleration? If so, which point? What is the direction of its total acceleration at (his point? (b) Of these points, is there a point where the bob has nonzero tangential acceleration and zero radial acceleration? If so, which point? What is the direction of its total acceleration at this point? (c) Is there a point where the bob has no acceleration? If so, which point? (d) Is there a point where the bob has both nonzero tangential and radial acceleration? If so, which point? What is the direction of its total acceleration at this point? Figure OQ6.41. An object of mass m is connected to a string of length 1, and set into motion around a vertical circle as shown in the figure. When it is at the top, tension in the string is 5mg. a. Find the speed of the object at the top i b. Find the speed of the object at the bottom c. Find the tension in the string when it is at the bottom d. If the string is cut when the object is at the bottom, find the range of the object
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- A particle of mass m moves in the XY-plane, and its position vector is given by = a cos wtî + b sin wtĵ where a, b, and w are positive constants, and a > b. Show that a. The particle moves in an ellipse. b. The force acting on the particle is always directed toward the origin. c. The total work done by the force in moving the particle once around the ellipse is zero d. The force is conservative.1.Circular Motion: Your evil cousin Throckmorton has come to visit for the weekend. His favourite pastime is skateboarding. You observe him skateboard from rest down a curved, frictionless ramp. If we treat Throckmorton and his skateboard as a particle, he moves through a quarter circle with radius 3.00m. Throcky and his skateboard have a mass 25.0kg. (a) Find his speed at the bottom of the ramp.(b) Find the normal force that acts on him at the bottom of the curve.Launch X C Clever P X i (6) Assig X (6) D x Ne n-ús&country=US&lm3Ddeeplink&lmsrc3homePageWeb&cmpid%3DWebSignin#/ap Q Search tic_ Potential Energy Worksheet.docx O problems (Kinetic P Accessibility Mode Part 1: Sample kinetic energy questions 1. A marble weighing 4.0 kg, travels at a speed of 7.0 km/h. What is its kinetic energy? 7km/h = 1.94 m/s
- Hi please help with the following: A 3.0 kg rocket propelled toy car has a speed of 6.0 m/s as it rides inverted at the top of a vertical circular track of radius 1.5m. What is the force in Newton's exerted by the track on the car?1.1 A thin uniform circular disk of radius a, mass m and A mass per unit length exerts gravitational force on a particle of mass M at distance b from the center of the ring, see figure below. Find the gravitational force that the disk exerts on the particle. AZ M Note! Disk is in the XY-plane and D is along the Z-axis b 1.2 Given that A = 5.0 kgm', a = 0.5 cm and d 150 cm. Determine the gravitational force that the disk exerts on a particle of mass M = 1000 g.You are playing a game and you push a cart to give it in. speed. The cart starts at the bottom (zero) of a ramp and after reaching the top of the ramp, the cart travels across a horizontal track w/ friction. The mass of the cart is 44 x 10^-3 kg. The ramp is 56 cm high. The length is 70 cm. What can you infer of the intial speed in (m/s)