2. Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in Figure 2 8.00 kg 7.50 kg 9.00 kg k 60.0 c 3.00 m Figure 2 (a) Find the location of the center of mass of this system by setting at x = 0 at the left end of the beam. (b) Find the location of the center of mass of this system by setting at x = 0 the

2. Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in Figure 2 8.00 kg 7.50 kg 9.00 kg k 60.0 c 3.00 m Figure 2 (a) Find the location of the center of mass of this system by setting at x = 0 at the left end of the beam. (b) Find the location of the center of mass of this system by setting at x = 0 the

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 28P: The vector position of a 3.50-g particle moving in the xy plane varies in time according to...

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A soccer player takes a corner kick, lofting a stationary ball 35.0 above the horizon at 22.5 m/s. If the soccer ball has a mass of 0.425 kg and the players foot is in contact with it for 5.00 102 s, find (a) the x- and y - components of the soccer balls change in momentum and (b) the magnitude of the average force exerted by the players foot on the ball.
(a) If two automobiles collide, they usually do not stick together. Does this mean the collision is elastic? (b) Explain why a head-on collision is likely to be more dangerous than other types of collisions.
Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at 5.00 m/s as in Figure P6.40a. After the collision, the orange disk moves in a direction that make an angle of 37.0 with the horizontal axis while the green disk makes an angle of 53.0 with this axis as in Figure P6.40b. Determine the speed of each disk after the collision. Figure P6.40
(a) A car traveling due east strikes a car traveling due north at an intersection, and the two move together as a unit. A property owner on the southeast corner of the intersection claims that his fence was torn down in the collision. Should he be awarded damages by the insurance company? Defend your answer, (b) Let the eastward-moving car have a mass of 1.30 103-kg and a speed of 30.0 km/h and the northward-moving car a mass of 1.10 103-kg and a speed of 20.0 km/h. Find the velocity after the collision. Are the results consistent with your answer to part (a)?
The vector position of a 3.50-g particle moving in the xy plane varies in time according to r1=(3i+3j)t+2jt2, where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.50 g particle varies as r2=3i2it26jt. At t = 2.50 s, determine (a) the vector position of the center of mass of the system, (b) the linear momentum of the system, (c) the velocity of the center of mass, (d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.
Professional Application (a) A 5.00-kg squid initially at rest ejects 0.250-kg of fluid with a velocity of 10.0 m/s. What is the recoil velocity of the squid if the ejection is done in 0.100 s and there is a 5.00-N frictional force opposing the squid's movement. (b) How much energy is lost to work done against friction?
Professional Application Suppose a child drives a bumper car head on into the side rail, which exerts a force of 4000 N on the car for 0.200 s. (a) What impulse is imparted by this force? (b) Find the final velocity of the bumper car if its initial velocity was 2.80 m/s and the car plus driver have a mass of 200 kg. You may neglect friction between the car and floor.
In an elastic collision, a 400-kg bumper car collides directly from behind with a second, identical bumper car that is traveling in the same direction. The initial speed of the leading bumper car is 5.60 m/s and that of the trailing car is 6.00 m/s. Assuming that the mass of the drivers is much, much less than that of the bumper cars, what are their final speeds?
A baseball bat of uniform density is cut at the location of its center of mass as shown in Figure 9.18. Which piece has the smaller mass? (a) the piece on the right (b) the piece on the left (c) both pieces have the same mass (d) impossible to determine Figure 9.18 (Quick Quiz 9.7) A baseball bat cut at the location of its center of mass.
The front 1.20 m of a 1 400-kg car Ls designed as a crumple zone that collapses to absorb the shock of a collision. If a car traveling 25.0 m/s stops uniformly in 1.20 m, (a) how long does the collision last, (b) what is the magnitude of the average force on the car, and (c) what is the magnitude of the acceleration of the car? Express the acceleration as a multiple of the acceleration due to gravity.
a man of mass m1 = 70.0 kg is skating at v1 = 8.00 m/s behind his wife of mass m2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collides with her. He grabs her around the waist, and they maintain their balance. (a) Sketch the problem with before-and-after diagrams, representing the skaters as blocks. (b) Is the collision best described as elastic, inelastic, or perfectly inelastic? Why? (c) Write the general equation for conservation of momentum in terms of m1, v1, m2, v2, and final velocity vf. (d) Solve the momentum equation for vf. (e) Substitute values, obtaining the numerical value for vf, their speed after the collision.
(a) Does the center of mass of a rocket in free space accelerate? Explain. (b) Can the speed of a rocket exceed the exhaust speed of the fuel? Explain.