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A pet mouse sleeps near the eastern edge of a stationary, horizontal turntable that is supported by a friction-less, vertical axle through its center. The mouse wakes up and starts to walk north on the turntable, (i) As it takes its first steps, what is the direction of the mouse's displacement relative to the stationary ground below? (a) north (b) south (c) no displacement, (ii) In this process, the spot on the turntable where the mouse had been snoozing undergoes a displacement in what direction relative to the ground below? (a) north (b) south (c) no displacement. Answer yes or no for the following questions, (iii) In this process, is the mechanical energy of I lie mouse-i mutable system constant? (iv) Is the momentum of the system constant? (v) Is the
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Chapter 11 Solutions
Physics for Scientists and Engineers
- A car starts from rest and moves around a circular track of radius 30.0 m. Its speed increases at the constant rate of 0.500 m/s2. (a) What is the magnitude of its net linear acceleration 15.0 s later? (b) What angle does this net acceleration vector make with the car’s velocity at this time?arrow_forwardAn object of mass M = 13.0 kg is attached to a cord that is wrapped around a wheel of radiusr = 12.0 cm (see figure). The acceleration of the object down the frictionless incline is measured to be a = 2.00 m/s and the incline makes an angle 0 = 37.0° with the horizontal. Assume the axle of the wheel to be frictionless. M Ө (a) Determine the tension in the rope. (b) Determine the moment of inertia of the wheel. kg •m (c) Determine the angular speed of the wheel 3.50 s after it begins rotating, starting from rest. rad/sarrow_forwardA small coin is placed on a flat, horizontal turntable . The turntable rotates at a constant rate of 45 rpm: It is observed to make 3 rotations in 4.0s. When viewed from above, the turntable rotates counterclockwise.(a) A coin rides without slipping at a distance of 5.0 cm from the center of the turntable. What is the speed of the coin?(b) What is the acceleration (magnitude and direction) of the coin in part (a)?(c) Draw a free-body diagram of the coin. Label all of the forces in your diagram.(d) The coin has a mass of 2.5 g. What is the frictional force acting on the coin in part (a)?(e) Over the course of several experiments, you observe that the coin will slide off if it is more than 10 cm from thecenter of the turntable, but it will ride along without slipping if it is closer than this. What is the coefficient of staticfriction between the coin and the turntable?arrow_forward
- A race car accelerates uniformly from a speed of 40 m/s to a speed of 60 m/s in 5 s while traveling counterclockwise around a circular track of radius 400 m. When the car reaches a speed of 50 m/s, calculate: (i) the magnitude of the car's centripetal acceleration. (ii) angular speed (iii) magnitude of the tangential acceleration (iv) magnitude of the total acceleration.arrow_forwardWhen a slice of buttered toast is accidentally pushed over the edge of a counter, it rotates as it falls. If the distance to the floor is 77 cm and for rotation less than 1 rev, what are the (a) smallest and (b) largest angular speeds that cause the toast to hit and then topple to be butter-side down? Assume free-fall acceleration to be equal to 9.81 m/s². (a) Number i (b) Number i Units Units >arrow_forwardWhen a slice of buttered toast is accidentally pushed over the edge of a counter, it rotates as it falls. If the distance to the floor is 76 cm and for rotation less than 1 rev, what are the (a) smallest and (b) largest angular speeds that cause the toast to hit and then topple to be butter-side down?arrow_forward
- A certain turntable of diameter 30 cm rotates horizontally about an axis through its center. At t = 0, a point on the edge of the turntable rotates from rest at a uniform tangential acceleration of 0.27 m/s2 , where t is in s, until the turntable reaches a final steady angular speed in 5 s. The turntable continues rotating at this final speed until it is switched off. (a) What is the angular displacement of the turntable, in revolutions, at t = 5 s, from rest? (b) What is the average angular velocity of the turntable at t = 9 s, from rest?arrow_forwardA coin rests 15.0 cm from the center of a turn-table. The coefficient of static friction between the coin and turntable surface is 0.350. The turntable starts from rest at t = 0 and rotates with a constant angular acceleration of 0.730 rad/s2. (A) Once the turntable starts to rotate, what force causes the centripetal acceleration when the coin is stationary relative to the turntable? Under what condition does the coin begin to move relative to the turntable? (B) After what period of time will the coin start to slip on the turntable?arrow_forwardOne end of a cord is fixed and a small 0.500-kg object is attached to theother end, where it swings in a section of a vertical circle of radius 2.00 m as shown. When θ = 20.0°, the speed of the object is 8.00 m/s. At this instant, find (a) the tension in the string, (b) the tangential and radial components of acceleration, and (c) the total acceleration. (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? (e) Explain your answer to part (d).arrow_forward
- Please Answer with clear steps thank you! (45)arrow_forwardA point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.arrow_forwardAn astronaut is tested in a centrifuge with radius 10 m and rotating according to u = 0.30t2. At t= 5.0 s, what are the magnitudes of the (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning