Concept explainers
A 5.0 kg mass hanging from a spring scale is slowly lowered onto a vertical spring, as shown in Figure P8.51. The scale reads in newtons.
Figure P8.51
a. What does the spring scale read just before the mass touches the lower spring?
b. The scale reads 20 N when the lower spring has been compressed by 2.0 cm. What is the value of the spring constant for the lower spring?
c. At what compression distance will the scale read zero?
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
MasteringPhysics with Pearson eText -- ValuePack Access Card -- for College Physics: A Strategic Approach
Additional Science Textbook Solutions
Physics: Principles with Applications
Conceptual Physics (12th Edition)
Life in the Universe (4th Edition)
College Physics (10th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
Conceptual Physical Science (6th Edition)
- You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have designed a combination of two coiled springs as illustrated in Figure P7.41. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down. 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 by a distance of d = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in Figure P7.41. When the spring with spring constant k2 compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical car on the siding has a mass of 6 000 kg. When you present your design to your supervisor, he asks you for the maximum speed that a car can have and be stopped by your device. Figure P7.41arrow_forwardA 2.45-kg ball is shot into a 0.450-kg box that is at rest on a frictionless, horizontal table (Fig. P11.25); after the collision, the ball is embedded in the box. The box is attached to a 0.30-m rope that is attached to the table on the other end. The balls initial velocity is perpendicular to the rope as shown. If the balls initial speed before impact is 13.5 m/s, what is the tension in the rope after the collision? FIGURE P11.25arrow_forward(a) During an ice skating performance, an initially motionless 80.0-kg clown throws a fake barbell away. The clown's ice skates allow her to recoil friction-lessly. If the clown recoils with a velocity of 0.500 m/s and the barbell is thrown with a velocity of 10.0 m/s, what is the mass of the barbell? (b) How much kinetic energy is gained by this maneuver? (c) Where does the kinetic energy come from?arrow_forward
- A bowling ball rolls up a ramp 0.5 m high without slipping to storage. It has an initial velocity of its center of mass of 3.0 m/s. (a) What is its velocity at the top of the ramp? (b) If the ramp is 1 m high does it make it to the top?arrow_forwardA 7760-kg rollercoaster is moving at 3.00 m/s as it rolls over the top of a hill that is 40.0 m tall. A) How fast is it moving when it reaches the bottom of the first hill, which is at ground level? B) How fast is it moving as it rolls over the next hill that is 30.0 m above ground level? Assume there is no friction.arrow_forwardIn a head-on, inelastic collision, a 4,000-kg truck going 10 m/s east strikes a 1,000-kg car going 20 m/s west. (a) What is the speed and direction of the wreckage? (b) How much kinetic energy was lost in the collisionarrow_forward
- A 5.0 kg mass hanging from a spring scale is slowly lowered onto a vertical spring, as shown. The scale reads in newtons.a. What does the spring scale read just before the mass touches the lower spring?b. The scale reads 20 N when the lower spring has been compressed by 2.0 cm. What is the value of the spring constant for the lower spring?c. At what compression distance will the scale read zero?arrow_forwardA slingshot consists of a light leather cup containing a stone that is pulled back against the elastic force of two rubber bands. It takes a force of 30 N to stretch the bands 1 cm. a) What is the PE of a 50.0 g stone that is pulled back 20 cm from the equilibrium position? b) with what speed does the stone leave the slingshot?arrow_forwardAn object of mass m is suspended from the top of a cart by a string of length L as in Figure P5.88a. The cart and object are initially moving to the right at a constant speed 0. The cart comes to rest after colliding and sticking to a bumper, as in Figure P5.88b, and the suspended object swings through an angle . (a) Show that the initial speed is 0=2gL(1cos). (b) If L = 1.20 m and = 35.0, find the initial speed of the cart (Hint: The force exerted by the string on the object docs no work on the object.) Figure P5.88aarrow_forward
- Review. As shown in Figure P8.26, a light string that does not stretch changes from horizontal to vertical as it passes over the edge of a table. The string connects m1, a 3.50-kg block originally at rest on the horizontal table at a height h = 1.20 m above the floor, to m2, a hanging 1.90-kg block originally a distance d = 0.900 m above the floor. Neither the surface of the table nor its edge exerts a force of kinetic friction. The blocks start to move from rest. The sliding block m1 is projected horizontally after reaching the edge of the table. The hanging block m2 stops without bouncing when it strikes the floor. Consider the two blocks plus the Earth as the system. (a) Find the speed at which m1 leaves the edge of the table. (b) Find the impact speed of m1 on the floor. (c) What is the shortest length of the string so that it does not go taut while m1 is in flight? (d) Is the energy of the system when it is released from rest equal to the energy of the system just before m1 strikes the ground? (e) Why or why not? Figure P8.26arrow_forwardEach Voyager spacecraft was accelerated toward escape speed from the Sun by the gravitational force exerted by Jupiter on the spacecraft. (a) Is the gravitational force a conservative or a nonconservative force? (b) Does the interaction of the spacecraft with Jupiter meet the definition of an elastic collision? (c) How could the space-craft be moving faster after the collision?arrow_forward3. A mobile is constructed of light rods, light strings, and beach souvenirs as shown in the figure below. If m4 = 12.0 g, find values (in g) for the following.(Let d1 = 4.50 cm,d2 = 6.10 cm,d3 = 2.40 cm,d4 = 4.40 cm,d5 = 2.90 cm, and d6 = 3.50 cm.) d) What If? If m1accidentally falls off and shatters when it strikes the floor, the rod holding m4will move to a vertical orientation so that m4 hangs directly below the end of the rod supporting m2.To what values should m2 and m3 be adjusted so that the other two rods will remain in equilibrium and be oriented horizontally? (Enter your answers in g.)arrow_forward
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning