The figure shows a container of mass m₁-4.8 kg connected to a block of mass m₂ by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 0.94 m/s² across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m₂?

The figure shows a container of mass m₁-4.8 kg connected to a block of mass m₂ by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 0.94 m/s² across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m₂?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 21P: Review. Consider the system shown in Figure P10.21 with m1 = 20.0 kg, m2 = 12.5 kg, R = 0.200 m, and...

See similar textbooks

Similar questions

A massless spring of constant k = 78.4 N/m is fixed on the left side of a level track. A block of mass m = 0.50 kg is pressed against the spring and compresses it a distance d, as in Figure P7.74. The block (initially at rest) is then released and travels toward a circular loop-the-loop of radius R = 1.5 m. The entire track and the loop-the-loop are frictionless, except for the section of track between points A and B. Given that the coefficient of kinetic friction between the block and the track along AB is k = 0.30 and that the length of AB is 2.5 m, determine the minimum compression d of the spring that enables the block to just make it through the loop-the-loop at point C. Hint: The force exerted by the track on the block will be zero if the block barely makes it through the loop-the-loop. Figure P7.74
A block of mass m1 = 20.0 kg is connected to a block of mass m2 = 30.0 kg by a massless string that passes over a light, frictionless pulley. The 30.0-kg block is connected to a spring that has negligible mass and a force constant of k = 250 N/m as shown in Figure P7.73. The spring is un-stretched when the system is as shown in the figure, and the incline is frictionless. The 20.0-kg block is pulled a distance h = 20.0 cm down the incline of angle = 40.0 (so that the 30.0-kg block is 40.0 cm above the floor) and released from rest. Find the speed of each block when the 30.0-kg block is 20.0 cm above the floor (that is, when the spring is unstretched). Figure P7.73
An 85 kg man stands in a very strong wind moving at 14 m/s at torso height. As you know, he will need to lean in to the wind, and we can model the situation to see why. Assume that the man has a mass of 85 kg, with a center of gravity 1.0 m above the ground. The action of the wind on his torso, which we approximate as a cylinder 50 cm wide and 90 cm long centered 1.2 m above the ground, produces a force that tries to tip him over backward. To keep from falling over, he must lean forward. a. What is the magnitude of the torque provided by the wind force? Take the pivot point at his feet. Assume that he is standing vertically.b. At what angle to the vertical must the man lean to provide a gravitational torque that is equal to this torque due to the wind force?
Use the value obtained for the cart's coefficient of rolling friction and. determine how far it will travel across a flat, level surface before it stops if given an initial speed of. 23.0 cm/s coefficient of rolling friction= -0.22 mass of cart= 501.7 g
To run Slap-chop and use Sham-wow you need to be in shape. For a work out, the man in the figure uses a device consisting of four springs arranged as shown. Each spring has a spring constant of 71.5 N/m. The hands holding the unstretched device are 37.79 cm apart. If the person can extend the springs to 84.58 cm apart, what is the maximum lateral force exerted by each hand?
Three point particles are fixed in place in an xy plane. Particle A has mass mA = 5 g, particle B has mass 2.00 mA, and particle C has mass 3.00 mA. A fourth particle D, with mass 4.00 mA, is to be placed near the other three particles. What (a) x coordinate and (b) y coordinate should particle D be placed so that the net gravitational force on particle A from particles B, C, and D is zero. please write the step by step process on paper.
A man stands on his toes by exerting an upward force through the Achilles tendon, as in the figure. Calculate the force in the Achilles tendon if he stands on one foot and has a mass of 80kg.
Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height ?. The mass of each object is a multiple of the base mass ?: object 1 has mass 4.60?, object 2 has mass 1.46?, and object 3 has mass ?. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic expression. Each algebraic expression is given using some combination of the variables ?, ?, and ?, where ? is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23???, just enter 1.23) ??,system= mgd This potential energy was calculated relative to the bottom of the stairs. If you were to redefine the reference height such that the total potential energy of the system…
A ball of mass 0.65 kg with an initial velocity of 2.63 m/s rolls up a hill without slipping. (a) Treating the ball as a spherical shell, I = 2/3mR2 , calculate its total kinetic (in J) at the bottom of the hill. J (b) The ball rolled to its highest point up the hill. Calculate the vertical height (in m) that it reached. m
A light rod of length 2L is free to rotate in a vertical plane about a frictionless pivot through its center. A particle of mass m1 is attached at one end of the rod, and a mass m2 is at the opposite end, where m1 m2. The system is released from rest in the vertical position shown in Figure P8.84a, and at some later time, the system is rotating in the Position shown in Figure P8.84b. Take the reference point of the gravitational potential energy to be at the pivot, (a) Find an expression for the system's total mechanical energy in the vertical position. (b) Find an expression for the total mechanical energy in the rotated position shown in Figure P8.84b. (c) Using the fact that the mechanical energy of the system is conserved, how would you determine the angular speed co of the system in the rotated position? (d) Find the magnitude of the torque on the system in the vertical position and in the routed position. Is the torque constant? Explain what these results imply regarding the angular momentum of the system, (c) Find an expression for the magnitude of the angular acceleration of the system in the rotated position. Does your result make sense when the rod is horizontal? When it is vertical? Explain. Figure P8.84
To give a pet hamster exercise, some people put the hamster in a ventilated ball andallow it roam around the house(Fig. P13.66). When a hamsteris in such a ball, it can cross atypical room in a few minutes.Estimate the total kinetic energyin the ball-hamster system. FIGURE P13.66 Problems 66 and 67
To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250kg-m2 and the net force she exerts is 750 N at an effective perpendicular lever arm of 2.00 cm? (b) How much work does she do?