Professional baseball pitchers deliver pitches that can reach the blazing speed of 100 mph (miles per hour). A local team hasdrafted an up-and-coming, left-handed pitcher who can consistently pitch at 42.68 m/s (95.50 mph). Assuming a pitched ball hasa mass of 0.1420 kg and has this speed just before a batter makes contact with it, how much kinetic energy does the ball have?Kball =JRecall that the acceleration due to gravity is 9.81m/s². How high would the ball need to be dropped from to attain the sameenergy as it did when it was pitched (neglect air resistance)?hpall =

Answered: Image /qna-images/answer/c5a5b141-4880-42db-a58c-dad19181fdcb.jpg

Answered: a mass of 0.1420 kg and has this speed…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 9PQ

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Two objects are connected by a light string passing over a light, frictionless pulley as shown in Figure P7.7. The object of mass m1 = 5.00 kg is released from rest at a height h = 4.00 m above the table. Using the isolated system model, (a) determine the speed of the object of mass m2 = 3.00 kg just as the 5.00-kg object hits the table and (b) find the maximum height above the table to which the 3.00-kg object rises.
A giant swing at an amusement park consists of a 365-kg uniform arm 10.0 m long, with two seats of negligible mass connected at the lower end of the arm (Fig. P8.53). (a) How far from the upper end is the center of mass of the arm? (b) The gravitational potential energy of the arm is the same as if all its mass were concentrated at the center of mass. If the arm is raised through a 45.0 angle, find the gravitational potential energy, where the zero level is taken to be 10.0 m below the axis, (c) The arm drops from rest from the position described in part (b). Find the gravitational potential energy of the system when it reaches the vertical orientation. (d) Find the speed of the seats at the bottom of the swing.
The coefficient of friction between the block of mass m1 = 3.00 kg and ilie surface in Figure P8.22 is k = 0.400. The system starts from rest. What is the speed of the ball of mass m2 = 5.00 kg when it has fallen a distance h = 1.50 m?
Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them (Fig. P8.7). A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00 m/s. (a) What is the velocity of the block of mass m? (b) Find the systems original elastic potential energy, taking m = 0.350 kg. (c) Is the original energy in the spring or in the cord? (d) Explain your answer to part (c). (e) Is the momentum of the system conserved in the bursting-apart process? Explain how that is possible considering (f) there are large forces acting and (g) there is no motion beforehand and plenty of motion afterward? Figure P8.7
Two projectiles of mass m1 and m2 , are fired at the same speed but in opposite directions from two launch sites separated by a distance D. They both reach the same spot in their highest point and strike there. As a result of the impact they stick together and move as a single body afterwards. Find the place they will land.
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 bullet is fired out of a gun with a velocity of 300 m/s, with respect to ground. If the bullet has a mass of 0.06 kg and the gun has a mass of 1.5 kg, what percentage of the total kinetic energy (of the bullet and gun) does the bullet have?
In a railroad accident, a boxcar weighing 200 kN and traveling at 2.00 m/s on horizontal track slams into a stationary caboose weighing 440 kN. The collision connects the caboose to the boxcar. How much energy is transferred from kinetic energy to other forms of energy in the collision?
A 0.550 kg ball of Play-Doh hangs from the ceiling by a string. A 0.100 kg wad of Play-Doh is thrown straight upward from below the ball and strikes the ball with a speed of 6.40 m/s and sticks to it. Is the mechanical energy of this system conserved? Yes or No How high (in cm) does the combined mass of Play-Doh rise above the original position of the ball of Play-Doh?
A 0.10 kg bullet moving 250 m/s hits a 5.0 kg block of wood at rest. If the bullet becomes embedded in the wood (and if the block of wood is free to move), what is the speed of the system immediately after the impact? What percent of the kinetic energy is lost due to the impact?
A railroad car of mass 2.55 104 kg is moving with a speed of 3.94 m/s. It collides and couples with three other coupled railroad cars, each of the same mass as the single car and moving in the same direction with an initial speed of 1.97 m/s. (a) What is the speed of the four cars after the collision? (Round your answer to at least two decimal places.) (b) How much mechanical energy is lost in the collision?
Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. Alight spring is attached to the more massive block, and the blocks are pushed togetherwith the spring between them (Fig. P9.5). A cord initially holding the blocks togetheris burned; after that happens, the block of mass 3m moves to the right with a speed of2.00 m/s. (a) What is the velocity of the block of mass m? (b) Find the system’s originalelastic potential energy, taking m = 0.350 kg. (c) Is the original energy in the spring orin the cord? (d) Explain your answer to part (c). (e) Is the momentum of the systemconserved in the bursting-apart process? Explain how that is possible considering (f)there are large forces acting and (g) there is no motion before-hand and plenty ofmotion afterward?Figure P9.5

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