Question 4 An object of mass 6.4 kg is traveling in a circle of radius 7.8 m at a speed 14.4 m/s. What is its centripetal acceleration? Answer in m/s² to one decimal place. Your Answer: Answer units D Add attachments to support your work Question 5 An object with a mass of 2.0 kg is traveling in a circle with a centripetal force of 10.2 N. The radius of the object's motion is 8.4 m. What is the object's acceleration? Answer in m/s2 to one decimal place. Your Answer:
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- on a highway curve with radius 42 m, the maximum force of static friction (centripetal force) that can act on a 1,123 kg car going around the curve is 8,127 N. A. what is the magnitude and direction of child's acceleration? B. what is the acceleration in g's C. what speed limit should be posted for the curve so that cars can negotiate it safelyDuring an Olympic bobsled run, the Jamaican team makes a turn of radius 7.60 m at a speed of 112 km/h. What is the ratio of their acceleration to g? Number i Unitscircle. Ezra swings the ball so that it always has constant speed of v = 4.82 m/s. The radius of the swing is r = 0.787 m and Ezra's hand is H = 1.40 m above the ground as shown. y H
- A ball thrown into the air by a child follows a parabolic path.The ball is 3.84 feet off the groundwhen the child releases the ball, and reaches a maximum height of 7.84 feet when it is at ahorizontal distance of 5 feet from the child. Draw a picture representing the situation. Make sure to label what you know. Determine the equation of the function representing the situation. Determine how far from the child the ball will be when it hits the ground.Please answer!Under good conditions, a car can travel at a maximum speed of vmax around a particular unbanked curve. In the aftermath of an ice storm, however, driving at that same speed will cause the car to slide off the road. Which of the statements below best describes why this is true? a. The friction force is no longer strong enough to balance the centripetal force and give the car zero acceleration. b. The friction force is needed to do negative work on the car to reduce the car’s kinetic energy. c. The friction force no longer provides a strong enough unbalanced force to change the car’s velocity quickly enough to stay on the curve. d. The car “floats” on the ice reducing the gravitational force which is what keeps the car on the road. e. [All of the above.]
- A circus motorcycle acrobat is trying to calculate the speed required to perform a loop- the-loop with a motorcycle. The loop has a radius of 10 m. At what speed must the motorcycle enter the loop at the bottom to negotiate a complete loop against gravity, without the use of its engine while in the loop? We do not have enough information. Mass is required. b) More than 20 m/s. c) More than 25 m/s. Exactly 20 m/s. Exactly 25 m/s.problem 4Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit: a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M. For all parts of this problem, where appropriate, use G for the universal gravitational constant. Part A Find the orbital speed v of a satellite in a circular orbit of radius R around a planet of mass M. Express the orbital speed in terms of G, M, and R. ► View Available Hint(s) V = Submit Part B K = Find the kinetic energy K of a satellite with mass m in a circular orbit of radius R around a planet of mass M. Express your answer in terms of m,…
- A 2,191 kg roller coaster cart goes 14.97 m/s at the top of a vertical circular loop of 20 m radius. There is no friction. What would the magnitude of the normal force on the cart be when it is moving straight down (20 m from the bottom) in N?Part A How many revolutions per minute would a 26 m-diameter Ferris wheel need to make for the passengers to feel "weightless" at the topmost point? Express your answer using two significant figures. VE ΑΣΦ f = pond ? rpmA car approaches the top of a hill that is shaped like a vertical circle with a radius of 35.3 m. What is the fastest speed that the car can go over the hill without losing contact with the ground?