Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 7, Problem 59AP
To determine
The initial speed of the freight car.
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A 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 P7.59. Both springs are described by Hooke’s 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 car’s initialspeed.
63. A 10.0-kg block is released from rest at point in Fig-
Mure P8.63. The track is frictionless except for the por-
tion between points and ©, which has a length of
6.00 m. The block travels down the track, hits a spring
of force constant 2 250 N/m, and compresses the
spring 0.300 m from its equilibrium position before
coming to rest momentarily. Determine the coefficient
of kinetic friction between the block and the rough
surface between points and ©.
3.00 m
6.00 m
Figure P8.63
A 12.0 kg bowling ball (solid sphere) is rolling along a track at
2.7m/s. It then rolls up a ramp that is 0.9m tall and then along
a horizontal track until it runs into a spring with spring constant
200 N/m. How far does the spring compress when the bowling
ball comes to rest?
Chapter 7 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 7.2 - Prob. 7.1QQCh. 7.2 - shows four situations in which a force is applied...Ch. 7.3 - Which of the following statements is true about...Ch. 7.4 - A dart is inserted into a spring-loaded dart gun...Ch. 7.5 - A dart is inserted into a spring-loaded dart gun...Ch. 7.6 - Choose the correct answer. The gravitational...Ch. 7.6 - A ball is connected to a light spring suspended...Ch. 7.8 - What does the slope of a graph of U(x) versus x...Ch. 7 - Prob. 1OQCh. 7 - If the net work done by external forces on a...
Ch. 7 - Prob. 3OQCh. 7 - A cart is set rolling across a level table, at the...Ch. 7 - Let N represent the direction horizontally north,...Ch. 7 - Prob. 6OQCh. 7 - Prob. 7OQCh. 7 - As a simple pendulum swings back and forth, the...Ch. 7 - Bullet 2 has twice the mass of bullet 1. Both are...Ch. 7 - Prob. 10OQCh. 7 - If the speed of a particle is doubled, what...Ch. 7 - Prob. 12OQCh. 7 - Prob. 13OQCh. 7 - A certain spring that obeys Hookes law is...Ch. 7 - A cart is set rolling across a level table, at the...Ch. 7 - Prob. 16OQCh. 7 - Can a normal force do work? If not, why not? If...Ch. 7 - Object 1 pushes on object 2 as the objects move...Ch. 7 - Prob. 3CQCh. 7 - (a) For what values of the angle u between two...Ch. 7 - Prob. 5CQCh. 7 - Discuss the work done by a pitcher throwing a...Ch. 7 - Prob. 7CQCh. 7 - Prob. 8CQCh. 7 - Prob. 9CQCh. 7 - Prob. 10CQCh. 7 - Prob. 11CQCh. 7 - Prob. 12CQCh. 7 - Prob. 13CQCh. 7 - Cite two examples in which a force is exerted on...Ch. 7 - A shopper in a supermarket pushes a cart with a...Ch. 7 - Prob. 2PCh. 7 - In 1990, Walter Arfeuille of Belgium lifted a...Ch. 7 - The record number of boat lifts, including the...Ch. 7 - A block of mass m = 2.50 kg is pushed a distance d...Ch. 7 - Spiderman, whose mass is 80.0 kg, is dangling on...Ch. 7 - Prob. 7PCh. 7 - Vector A has a magnitude of 5.00 units, and vector...Ch. 7 - Prob. 9PCh. 7 - Find the scalar product of the vectors in Figure...Ch. 7 - Prob. 11PCh. 7 - Using the definition of the scalar product, find...Ch. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - A particle is subject to a force Fx that varies...Ch. 7 - In a control system, an accelerometer consists of...Ch. 7 - When a 4.00-kg object is hung vertically on a...Ch. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - A small particle of mass m is pulled to the top of...Ch. 7 - The force acting on a particle is Fx = (8x 16),...Ch. 7 - When different loads hang on a spring, the spring...Ch. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Review. The graph in Figure P7.20 specifies a...Ch. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - A 0.600-kg particle has a speed of 2.00 m/s at...Ch. 7 - A 4.00-kg particle is subject to a net force that...Ch. 7 - A 2 100-kg pile driver is used to drive a steel...Ch. 7 - Review. In an electron microscope, there is an...Ch. 7 - Review. You can think of the workkinetic energy...Ch. 7 - Prob. 38PCh. 7 - Review. A 5.75-kg object passes through the origin...Ch. 7 - A 1 000-kg roller coaster car is initially at the...Ch. 7 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 7 - Prob. 42PCh. 7 - A 4.00-kg particle moves from the origin to...Ch. 7 - Prob. 44PCh. 7 - A force acting on a particle moving in the xy...Ch. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - For the potential energy curve shown in Figure...Ch. 7 - A right circular cone can theoretically be...Ch. 7 - The potential energy function for a system of...Ch. 7 - Prob. 55APCh. 7 - A particle moves along the xaxis from x = 12.8 m...Ch. 7 - Prob. 57APCh. 7 - Prob. 58APCh. 7 - Prob. 59APCh. 7 - Why is the following situation impossible? In a...Ch. 7 - Prob. 61APCh. 7 - Prob. 62APCh. 7 - An inclined plane of angle = 20.0 has a spring of...Ch. 7 - Prob. 64APCh. 7 - Prob. 65APCh. 7 - A particle of mass m = 1.18 kg is attached between...Ch. 7 - Prob. 67CP
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- A 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_forwardAn inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in Figure P6.61. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?arrow_forwardA horizontal spring attached to a wall has a force constant of k = 850 N/m. A block of mass m = 1.00 kg is attached to the spring and rests on a frictionless, horizontal surface as in Figure P8.35. (a) The block is pulled to a position xi = 6.00 cm from equilibrium and released. Find the elastic potential energy stored in the spring when the block is 6.00 cm from equilibrium and when the block passes through equilibrium. (b) Find the speed of the block as it passes through the equilibrium point. (c) What is the speed of the block when it is at a position xi/2 = 3.00 cm? (d) Why isnt the answer to part (c) half the answer to part (b)? Figure P8.35arrow_forward
- A 1.00-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Fig. P8.62a). The object has a speed of vi = 3.00 m/s when it makes contact with a light spring (Fig. P8.62b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Fig. P8.62c). The object is then forced toward the left by the spring (Fig. P8.62d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Fig. P8.62e). Find (a) the distance of compression d, (b) the speed vat the unstretched posi-tion when the object is moving to the left (Fig. P8.624), and (c) the distance D where the abject comes to rest. Figure P8.62arrow_forward35. A horizontal spring attached to a wall has a force constant QC of k = 850 N/m. A block of mass m = 1.00 kg is attached to the spring and rests on a frictionless, horizontal sur- face as in Figure P8.35. (a) The block is pulled to a posi- tion x, = 6.00 cm from equilibrium and released. Find the elastic potential energy stored in the spring when the block is 6.00 cm from equilibrium and when the block passes through equilibrium. (b) Find the speed of the block as it passes through the equilibrium point. (c) What is the speed of the block when it is at a position x/2 = 3.00 cm? (d) Why isn't the answer to part (c) half the answer to part (b)? %3D miwwwwwww k x= 0 x = x;/2 x= x; Figure P8.35arrow_forwardA 1.30 kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Fig. P7.54). The object has a speed of vi = 2.60 m/s when it makes contact with a light spring that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d. The object is then forced toward the left by the spring and continues to move in that direction beyond the spring's unstretched position. The object finally comes to rest a distance D to the left of the unstretched spring. Figure P7.54 (a) Find the distance of compression d. m(b) Find the speed v at the unstretched position when the object is moving to the left. m/s(c) Find the distance D where the object comes to rest. marrow_forward
- A freight car with mass m = 6000 kg rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as shown in the figure. The springs have constants k, = 1600 N/m and k2 = 3400 N/m. After the first spring compresses a distance of 30 cm, the second spring acts with the first to increase the force as additional compression occurs. The graph shows the total force acting on the car as a function of distance. The car comes to rest 50 cm after first contacting the spring system. Find the car's initial speed. 2 000 Z 1 500 k 1 000 500 10 20 30 40 50 60 Total force (N)arrow_forwardq41arrow_forward2. Maria and Rory are using a spring launcher to move a 125 g block to the top of a ramp. The spring launcher is at the base of the ramp and consists of a platform and a spring with a force constant of 420 N/m. The horizontal surface at the base of the ramp is smooth and frictionless. They compress the spring by 0.12 m with the block resting against the spring launcher. Once they let go, the block travels up the 1.4 m ramp and comes to rest at the top of the ramp. The top of the ramp is 1.0 m above the ground. Ramp Experiment Ad= 1.4 m smooth frictionless surface What is the average frictional force acting on the block as it moves up the ramp? Ah=1.0 marrow_forward
- A .500kg block attached to a spring with length .60m and force constant 40.0 N/m, is at rest with the back of the block at point A on a frictionless horizontal air table. The mass of the spring is negligible. You move the block to the right along the surface by pulling with a constant 20.0 N horizontal force. what's the block's speed when the black of the block reaches point B, which is 0.25 m to the right of point A.arrow_forwardTwo children are playing a game in which they try to hit a small box on the floor with a marble fired from a spring-loaded gun that is mounted on a table.The target box is horizontal distance D = 2.20 m from the edge of the tabel. Bobby compresses the spring 1.10 cm, but the center of the marble falls 27.0 cm short of the center of the box. How far should Rhoda compress the spring to score a direct hit? Assume that neither the spring nor the ball encounters friction in the gun.arrow_forwardThe desperate contestants on a TV survival show are very hungry, but the only food they can see is some fruit hanging on a branch high in a tree. Fortunately, they have a spring they can use to launch a rock which has a spring constant of 1600 N/mN/m . They can compress the spring by a maximum of 18.1 cmcm and they choose a rock that has a mass of 679 gg . With what speed does the rock leave the end of the spring? If they hope to dislodge a piece of fruit using their device, what is the highest the fruit could be above the end of their spring?arrow_forward
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