15. A 40.0 kg child is playing on a swing. At the bottom of the swing, the child attains a speed of 4.60 m/s. If the rope holding the swing is 2.80 m long, what is the tension in the rope at the bottom of the swing?
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- A boy takes a 1.5-kg rock and ties it to the end of a 0.80-m-long, massless, uniform rope. He then swings the rock in a vertical circle. If the speed of the rock at the bottom of the swing is 5.0 m/s, what is the tension in the rope? QUESTION 8 a. 52 N Ob.72 N OC. 57 N d. 67 N e. 62 NA baseball of mass m = 0.56 kg is spun vertically on a massless string of length L = 0.68 m. The string can only support a tension of Tmax = 10.3 N before it will break. a.) What is the maximum possible speed of the ball at the top of the loop, in meters per second? b.) What is the maximum possible speed of the ball at the bottom of the loop, in meters per second?The Gravitron ride has people step in, lean against a wall and “stick” when it spins and the floor drops out after a certain velocity. A rider has a mass of 50kg. The coefficient of static friction of the body against a wall is 0.8. The diameter of the ride is 10m. What is the maximum period of the ride’s rotation that will keep the student pinned to the wall once the floor drops?
- In the Atwood machine shown below, m, = 2.00 kg and m2 = 5.60 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not stretch. The lighter object is released with a sharp push that sets it into motion at v, = 2.15 m/s downward. How far will m, descend below %3D %3! its initial level? Pulley - String m, m, O A. None О В. 97.6 сm O C. 48.8 cm O D. 24.4 cm 12 2 cmA 30 kg child slides down a slide with h = 4.0 m and arrives at the ground with a speed of 6.0 m/s. The slide forms the arc of a circle with a radius of 21 m with the ground tangent to the bottom of the slide. Determine the average friction force acting on the child. Hint: Use h = R(1 - cos(θ)) and s = Rθ where θ is in radians and s = arc length.a 4kg block is attached to the vertical pole by two strings. when the system rotates about the axis of the pole the two strings are extended as shown in the diagram, the tension in the upper string is 88N. find the tension in the lower string, the rev/min the system makes normally and when the lower cord just goes slack.
- A 4kg block is attached to the vertical rod shown by the 2 strings. When the system rotated about the axis of the rod, the strings are extended as shown in the diagram and the tension in the upper string is 90.0N. what's the tension in the lower cord, and the rev/min the system makes when it's in normal conditions and just when the lower cord goes slack.A 0.480kg pendulum bob passed through the lowest part of its path at a speed at 3.70m/s. A) what is the tension in the pendulum cable at this point if the pendulum is 80.0cm long? N B) when the pendulum reaches its highest point, what angles the cable make with the vertical? (C) what is the tension in the pendulum cable when the pendulum reaches its highest point? N1. A 75-kg merry go round worker stands on the ride's platform 4.5m from the center and her speed as she goes around the circle is 4.1 m/s. a) Draw a sketch of the scenario. b) Determine the force of friction necessary to keep her from falling off the platform. c) How far does she travel after 1 revolution? d) What is the period T (in seconds) after 1 revolution? Round answers to nearest tenth.
- A 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in (Figure 1) and the tension in the upper string is 72.0 N. What is the tension in the lower cord? What is the speed of the block?Q6: The 2.5-Mg pickup truck is towing the 1.5-Mg car using a cable as shown. If the car is initially at rest and the truck is coasting with a velocity of 30 km/h when the cable is slack, determine: 1. The common velocity of the truck and the car just after the cable becomes taut. 2. The loss of energy. [ Ans. (1) v2 = 5.21 m/s + , (2) AE = 36.6 kJ ] 30 km/hA 280 gg block on a 52.0 cmcm -long string swings in a circle on a horizontal, frictionless table at 80.0 rpm What is the speed of the block? Express your answer with the appropriate units. What is the tension in the string? Express your answer with the appropriate units.