A solid disk is released from rest and rolls without slipping down an inclined plane that makes an angle of 25.0° with the horizontal. What is the speed of the disk after it has rolled 3.00 m, measured along the plane? O 6.29 m/s O 407 m/s O 2.04 m/s O 5.71 m/s O 3.53 m/s
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- An ultracentrifuge accelerates uniformly from rest to 100,000 rpm in 2.0 min. If this ultracentrifuge accelerates 4.0 seconds starting from rest, what is the magnitude of the centripetal acceleration in unit of gravitational acceleration g for your sample sitting at 4.0 cm from the center axis? Use g = 9.8 m/s2. Hint: compute the centripetal acceleration in unit of m/s2 first, then divided by g will be your answer. For example, if your centripetal acceleration is 19.6 m/s2, your answer measured in unit of g is 2.0.An object travels in a circular path. It takes 2.4 seconds to complete each rotation. If the radius of the circle is 6.3 m, what is the object's average linear speed?A wrecking ball used to knock down buildings has a mass of m = 1460 kg and is suspended from a cable of length L = 24 m. It reaches a maximum speed of v = 14 m/s while traveling in a circular arc toward the building. What is the minimum tension in N that the cable must be able to support without breaking? Assume the cable is massless.If the cable can only support a tension of 10,000 N what is the highest mass the ball can have in kg?
- A ball of mass mb=2.9 kg is attached to a stick by two strings as shown. String 1 is the upper string and string 2 is the lower string. The ball is spinning around the stick in a horizontal circle. If T1b= 2214.8 N, T2b= 1935.4 N, L1= 2.7 m, θ = 31.9 degrees, and ϕ = 73.1 degrees, what is the speed of the ball as it moves in a horizontal circle?Could someone explain how to work this out?A light rod is 88 cm long. Its top end is pivoted on a low-friction horizontal axle. The rod hangs straight down at rest with a small massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swing around in full circle. What minimum speed (m/s) at the bottom is required to make the ball go over the top of the circle? Round your answer to 2 decimal places.
- A carnival ride has a 3.0 m radius and rotates once every 1.7s. what is the speed of the rider?A puck of mass m = 1.30 kg slides in a circle of radius r = 22.0 cm on a frictionless table while attached to a hanging cylinder of mass M= 2.30 kg by a cord through a hole in the table. What speed keeps the cylinder at rest? M Number i 2.227 Units m/sA stone on the edge of the tire of a unicycle wheel with a radius of 0.25 m has a centripetal acceleration of 4 m/s2. What is the tire's speed? O 1 m/s O 9.81 m/s O O m/s O 10 m/s
- What is the radial acceleration of the blade tip expressed as a multiple of the acceleration due to gravity, g? Express your answer as a multiple of g.A light, rigid rod is 50.2 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle? m/s4. A 2.5 kg ball rolls across a frictionless surface at a velocity of 2.5m/s. It then rolls up an incline. The incline has a coefficient of kinetic friction of .12, is 1.25 m long, and has a final change in elevation of .35m. Does the ball reach the top of the incline? If so, where does the ball land? If not, what is the velocity of the ball as it rolls off the bottom of the incline? 25kg 1.25m .35m