9. A physics major is working to pay her college tuition by performing in a traveling carnival. She rides a motorcycle inside a hollow, transparent plastic sphere. After gaining sufficient speed, she travels in a vertical circle with a radius of 15.0 m. She has a mass of 80.0 kg and her motorcycle has mass 30.0 kg. What minimum speed must she have at the top of the circle for the motorcycle tires to remain in contact with the sphere? (a) 17.7 m/s (b) 12.1 m/s (c) 15.5 m/s (d) 9.3 m/s

9. A physics major is working to pay her college tuition by performing in a traveling carnival. She rides a motorcycle inside a hollow, transparent plastic sphere. After gaining sufficient speed, she travels in a vertical circle with a radius of 15.0 m. She has a mass of 80.0 kg and her motorcycle has mass 30.0 kg. What minimum speed must she have at the top of the circle for the motorcycle tires to remain in contact with the sphere? (a) 17.7 m/s (b) 12.1 m/s (c) 15.5 m/s (d) 9.3 m/s

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 37P: To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against...

See similar textbooks

Similar questions

To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to frictionless. The center of ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction and friction forces on the ladder at its base.
A puck of mass m = 1.10 kg slides in a circle of radius r = 17.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 3.00 kg by a cord through a hole in the table. What speed keeps the cylinder at rest?
A 2.5 kg, 20-cm-diameter turntable rotates at 100 rpm on frictionless bearings. Two 540 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diameter, and stick. What is the turntable's angular velocity, in rpm, just after this event?
Consider two cylindrical objects of the same mass and radius. Object A is a solid cylinder, whereas object B is a hollow cylinder. part a) How fast, in meters per second, is object A moving at the end of the ramp if it's mass is 155 g, it's radius 17 cm, and the height of the beginning of the ramp is 42.5 cm? part b) How fast, in meters per second, is object B moving at the end of the ramp if it rolls down the same ramp?
A massless, frictionless merry-go-round of radius R has one child of mass M sitting on the outer edge and is spinning with angular velocity ωi. If the child walks towards the center until she is 0.65R from the center, by what factor does the angular velocity increase? (i.e. solve for F where ωf=Fωi)
Three identical small spheres, each of weight 2 lb, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when sphere B is struck squarely by sphere A which is moving to the right with a velocity v0 = (8 ft/s)i. Knowing that θ= 45° and that the velocities of spheres A and B immediately after the impact are vA = 0 and vB = (6 ft/s)i + (vB)yj, determine (vB)y and the velocity of C immediately after impact.
A 5.00-kg particle starts from the origin at time zero. Its velocityasa functionoftimeisgivenbyv = (6t 2i+ 2t j) where v is in meters per second and t is in seconds. (a) Find its position vector r as a function of time (b) its acceleration as a function of time,(c) the net force exerted on the particle as a function of time, (d) the net torque about the origin exerted on the particle as a function of time,(e)the angular momentum of the particle as a function of time,(f)the kinetic energy of the particle as a function of time, and (h)the power injected into the system of the particle as a function of time. Hint: (a) v = dr/dt and dr = vdt, r =òvdt (integrate v and get r),(b) a=dv/dt, © F=ma,(d) t = r x F (cross product) (e) L= r x mv(cross product) (f) KE=(1/2)mv2(Square v vector to get v2,i2 =j2 =1),(g) Power = first derivative of KE
A puck of mass m =1.50 kg slides in a circle of radius r 20.0 cm on a frictionless table while attached to a hanging cylinder of mass M =2.50 kg by means of a cord that extends through a hole in the table.What speed keeps the cylinder at rest?
A hollow spherical shell with mass 1.75 kgkg rolls without slipping down a slope that makes an angle of 40.0 degrees with the horizontal. a.) Find the magnitude of the acceleration acmacma_cm of the center of mass of the spherical shell. Take the free-fall acceleration to be ggg = 9.80 m/s2m/s2 . =3.78 b) Find the magnitude of the frictional force acting on the spherical shell. Take the free-fall acceleration to be ggg = 9.80 m/s2m/s2 . =4.41 c)Find the minimum coefficient of friction μμmu needed to prevent the spherical shell from slipping as it rolls down the slope. i need help with C) ive got the first two.
Johnny Manziel has decided that he’s a terrible quarterback (he’s pretty mad about it) andwants to become a kicker, but he’s concerned about the shoe he has chosen to kick withand how it will impact the inertia of his leg. The moment of inertia of the lower leg andfoot about an axis through the knee joint is 0.20 kg·m2. What is the moment of inertia ofthe leg and foot about the knee joint if a 0.50 kg shoe is worn on the foot? Assume thatthe shoe’s mass is all concentrated in one point 45 cm from the knee joint
. Johnny Manziel has decided that he’s a terrible quarterback (he’s pretty mad about it) andwants to become a kicker, but he’s concerned about the shoe he has chosen to kick withand how it will impact the inertia of his leg. The moment of inertia of the lower leg andfoot about an axis through the knee joint is 0.20 kg·m2. What is the moment of inertia ofthe leg and foot about the knee joint if a 0.50 kg shoe is worn on the foot? Assume thatthe shoe’s mass is all concentrated in one point 45 cm from the knee joint.0.30 kg·m2
An amusement park ride consists of a large vertical cylinder thatspins about its axis fast enough such that any person inside is heldup against the wall when the floor drops away. The coefficient ofstatic friction between person and wall is 0.25 and the radius of thecylinder is 7m. (a) How many minimum revolutions per minute does the cylindermake? (b) Calculate the angular velocity and frequency of the motion atthis condition. (c) What is the effect of the mass of the person on the time period,radial acceleration and tangential acceleration.