College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A large block with a mass of 8.5 kg slides along a horizontal surface without friction. The block runs into ahorizontal spring with a spring constant of 260 N/m and compresses the spring by 50 cm before coming to astop.(a) How fast is the block moving when it just hit the spring?(b) What is the potential energy of the spring, the kinetic energy of the block, and the total mechanicalenergy of the system when the block is halfway to its stopping position?arrow_forwardA mass of 0.75 kg is suspended from a spring. If 1.41 J of work is done against the spring as the mass is pulled 0.15 m away from its equilibrium position, what is the spring constant of the spring?arrow_forwardA spring is compressed 0.100 m and launches a 3.25 kg object across frictionless ice. After some distance, the object hits a rough patch of ice where the coefficient of kinetic friction of the object on the surface is 0.200. If the spring constant of the spring is 137 N/m, find the distance the object travels across the rough patch of ice using work and energy.arrow_forward
- An archer pulls her bowstring back 0.398 m by exerting a force that increases uniformly from zero to 231 N. (a) What is the equivalent spring constant of the bow? N/m (b) How much work does the archer do on the string in drawing the bow?arrow_forwardA box of mass 2.0 kg, traveling horizontally, hits an uncompressed spring with an initial velocity, Vo, and compresses the spring to a maximum distance of 0.05 meters (at the maximum distance the box stops). The value of the spring force constant is k= 50 N/m. There is no friction in the system. Use the work-energy theorem (chapter 6) to find the initial velocity, Vo, of the box.arrow_forwardIf a spring is stretched 2.2 cm by a suspended object having a mass of 0.40 kg, what is the force constant of the spring? How much work is done by the spring on the object as it stretches through this distance? Evaluate the work done by the gravitational force on the object (in J).arrow_forward
- A 5 kg block starts from rest at point A at the top of a 3 m long frictionless ramp angled at 40° above the horizontal. The block slides down the ramp and enters a rough horizontal surface between point B and point C with a coefficient of kinetic friction of 0.30. The block travels a distance of 1.00 m on the horizontal surface before running into a light spring with a spring constant of 900 N/m. A hitting the spring. 40.0⁰ 1.50 m B 1.00 m 1 k = 900 N/m wwwww Using the work-energy theorem, find the speed of the block at point C right before How far will the block compress the spring before coming to rest?arrow_forwardquick shove and moves down the incline with an initial speed v = 0.750 m/s. The incline angle is 0 = 20.0°, the spring constant is k = 465 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest? A spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.59 kg is placed on the incline at a distance d = 0.282 m along the incline from the end of the spring. The block is given a ww- ing. The blockarrow_forwardA spring that has a spring constant of k = 183.0 N/m is oriented vertically, with one end on the ground. What distance y must the spring compress for an m = 2.43 kg object placed on its upper end to reach equilibrium? y = By how much AUspring does the potential energy stored in the spring increase during the compression? AUspring = Jarrow_forward
- A 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k = -6N/m). The speed of the object at x=3.0 m is 8.0 m/s. Determine the positive value for x where the speed of the object will be 4.9 m/s. Hint: The work done between values of x will be 1/2kx22-1/2kx12. Set this equal to the change in kinetic energy associated with the change in speed.arrow_forwardA 1.6 kg breadbox on a frictionless incline of angle 0 = 35° is connected, by a cord that runs over a pulley, to a light spring of spring %3D constant k = 10O N/m, as shown in the figure. The box is released from rest when the spring is unstretched. Assume that the pulley is massless and frictionless. (a) What is the speed of the box when it has moved 10.7 cm down the incline? (b) How far down the incline from its point of release does the box slide before momentarily stopping, and what are the (c) magnitude and (d) direction of the box's acceleration at the instant the box momentarily stops? (a) Number Unit (b) Number i Unit (c) Number Unit (d) > > >arrow_forwardAn archer pulls her bowstring back 0.408 m by exerting a force that increases uniformly from zero to 215 N. (a) What is the equivalent spring constant of the bow? N/m (b) How much work does the archer do on the string in drawing the bow?arrow_forward
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