Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m. Initially, the spring is unstretched and the bodies are at rest. If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then -20 Nm of work was done by the spring on the body A, B system.
Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m. Initially, the spring is unstretched and the bodies are at rest. If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then -20 Nm of work was done by the spring on the body A, B system.
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A block having a mass of 1.0 kg is given an initial velocity v= 6 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k =100 N/m . Assuming the surface to be frictionless, e the maximum compression of the spring after the collision
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6 m
5 m
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The ball B shown in the figure has a mass of 1.5 kg and is suspended from the ceiling by a 1 m long elastic cord. If the cord is stretched downward 0.25 m and the ball is released from rest, determine how far the cord stretches after the ball rebounds from the ceiling. The stiffness of the cord is k = 800 N/m and the coefficient of restitution between the ball and ceiling is e = 0.8. The ball makes a central impact with the ceiling.
Chapter 9 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 9.1 - Prob. 1AECh. 9.1 - Light carries momentum, so if a light beam strikes...Ch. 9.2 - In Example 93, what result would you get if (a)...Ch. 9.2 - Prob. 1DECh. 9.2 - Return to the Chapter-Opening Questions, page 214,...Ch. 9.8 - Calculate the CM of the three people in Example...Ch. 9.8 - Prob. 1GECh. 9.9 - A woman stands up in a rowboat and walks from one...Ch. 9 - We claim that momentum is conserved. Yet most...Ch. 9 - A light object and a heavy object have the same...
Ch. 9 - When a person jumps from a tree to the ground,...Ch. 9 - Prob. 4QCh. 9 - Explain, on the basis of conservation of momentum,...Ch. 9 - Prob. 6QCh. 9 - If a falling ball were to make a perfectly elastic...Ch. 9 - Prob. 8QCh. 9 - It is said that in ancient times a rich man with a...Ch. 9 - The speed of a tennis ball on the return of a...Ch. 9 - Is it possible for an object to receive a larger...Ch. 9 - How could a force give zero impulse over a nonzero...Ch. 9 - In a collision between two cars, which would you...Ch. 9 - Prob. 14QCh. 9 - Prob. 15QCh. 9 - At a hydroelectric power plant, water is directed...Ch. 9 - A squash hall hits a wall at a 45 angle as shown...Ch. 9 - Prob. 18QCh. 9 - Why can a batter hit a pitched baseball farther...Ch. 9 - If a 20-passenger plane is not full, sometimes...Ch. 9 - Prob. 21QCh. 9 - Why is the CM of a 1-m length of pipe at its...Ch. 9 - Describe an analytic way of determining the CM of...Ch. 9 - Prob. 24QCh. 9 - Bob and Jim decide to play tug-of-war on a...Ch. 9 - Prob. 26QCh. 9 - Prob. 27QCh. 9 - Prob. 28QCh. 9 - Prob. 29QCh. 9 - Prob. 30QCh. 9 - At a carnival game you try to knock over a heavy...Ch. 9 - Prob. 1MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - (II) Suppose the force acting on a tennis hall...Ch. 9 - (II) The force on a bullet is given by the formula...Ch. 9 - (II) (a) A molecule of mass m and speed v strikes...Ch. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - (I) In a ballistic pendulum experiment, projectile...Ch. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - (II) A neutron collides elastically with a helium...Ch. 9 - Prob. 51PCh. 9 - (III) A neon atom (m = 20.0 u) makes a perfectly...Ch. 9 - Prob. 53PCh. 9 - (I) The distance between a carbon atom (m = 12 u)...Ch. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - (II) Three cubes, of side l0,2l0, and 3l0 are...Ch. 9 - Prob. 58PCh. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - (III) Determine the CM of a uniform pyramid that...Ch. 9 - (II) The masses of the Earth and Moon are 5.98 ...Ch. 9 - Prob. 66PCh. 9 - Prob. 67PCh. 9 - Prob. 68PCh. 9 - Prob. 69PCh. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 76PCh. 9 - Prob. 77GPCh. 9 - Prob. 78GPCh. 9 - Prob. 79GPCh. 9 - Prob. 80GPCh. 9 - Prob. 81GPCh. 9 - Prob. 82GPCh. 9 - Prob. 83GPCh. 9 - Prob. 84GPCh. 9 - Prob. 85GPCh. 9 - Prob. 86GPCh. 9 - Prob. 88GPCh. 9 - Prob. 92GPCh. 9 - Prob. 94GPCh. 9 - Prob. 95GPCh. 9 - Prob. 96GPCh. 9 - Prob. 97GPCh. 9 - A massless spring with spring constant k is placed...Ch. 9 - Prob. 99GPCh. 9 - The gravitational slingshot effect. Figure 955...Ch. 9 - Prob. 101GPCh. 9 - Prob. 102GPCh. 9 - Prob. 103GPCh. 9 - Prob. 104GP
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- There is a compressed spring between two laboratory carts of masses m1 and m2. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity v1 in the positive x direction (Fig. P10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart spring system? b. Find an expression for the velocity of cart 2. c. Sometimes, mistakes are made in a laboratory. For example, what changes in parts (a) and (b) if the track is not level as shown in Figure P10.40C? Explain your answer.arrow_forwardThere is a compressed spring between two laboratory carts of masses m1 = 105 g and m2 = 212 g. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity vi=2.035i m/s in the positive x direction (Fig. 10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart system? b. Find the velocity of cart 2. FIGURE P10.40 Problems 40 and 41.arrow_forwardA particle is suspended from a post on top of a can by a light string of length L. as shown in Figure P9.57a. The can and particle are initially moving to the right at constant speed the with the string vertical. The can suddenly comes to rest when it runs into and sticks to a bumper as shown in Figure P9.57b. The suspended panicle swings through an angle . (a) Show that the original speed of the cart can be computed from. vi=2gL(1cos) (b) If the bumper is still exerting a horizontal force on the cart when the hanging panicle is at its maximum angle forward from the vertical. at what moment does the bumper stop exerting a horizontal force?arrow_forward
- 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 P7.73arrow_forwardYou hold a slingshot at arms length, pull the light elastic band back to your chin, and release it to launch a pebble horizontally with speed 200 cm/s. With the same procedure, you fire a bean with speed 600 cm/s. What is the ratio of the mass of the bean to the mass of the pebble? (a) 19 (b) 13 (c) 1 (d) 3 (e) 9arrow_forwardA space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?arrow_forward
- George of the Jungle, will mass m, swings on a light vine hanging from a stationary tree branch. A second vine of equal length hangs from the same point, and a gorilla of larger mass M swings in the opposite direction on it. Both vines are horizontal when the primates start from rest at the same moment. George and the gorilla meet at the lowest point of their swings. Each is afraid that one vine will break, so they grab each other and hang on. They swing upward together, reaching a point where the vines make an angle of 35.0 with the vertical. Find the value of the ratio at m/M.arrow_forwardA 6 000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in Figure P6.27 (page 188). Both springs are described by Hookes law and have spring constants k1 = 1 600 N/m and k2, = 3 400 N/m. After the first spring compresses a distance of 30.0 cm, the second spring acts with the first to increase the force as additional compression occurs as shown in the graph. The car comes to rest 50.0 cm after first contacting the two-spring system. Find the cars initial speed.arrow_forwardA cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretchcd and with force constant k = 2.00 104 N/m, as shown in Figure P8.60. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0 above the horizontal. (a) Assuming that the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, carriage, and projectile. Is the momentum of this system conserved during the firing? Why or why not?arrow_forward
- 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 P7.74arrow_forwardA block of mass m1 = 4.00 kg initially at rest on top of a frictionless, horizontal table is attached by a lightweight string to a second block of mass m2 = 3.00 kg hanging vertically from the edge of the table and a distance h = 0.450 m above the floor (Fig. P8.77). If the edge of the table is assumed to be frictionless, what is the speed with which the first block leaves the edge of the table?arrow_forwardThe coefficient of friction between the block of mass ml = 3.00 kg and the surface in Figure P7.22 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? Figure P7.22arrow_forward
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