Physics Laboratory Manual
4th Edition
ISBN: 9781133950639
Author: David Loyd
Publisher: Cengage Learning
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Chapter 11, Problem 3PLA
To determine
The principle of conservation of mechanical energy applied to a mass attached to a spring.
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Suppose a force of 60 N is required to stretch and hold a spring 0.1 m from its equilibrium position.
a. Assuming the spring obeys Hooke's law, find the spring constant k.
b. How much work is required to compress the spring 0.6 m from its equilibrium position?
c. How much work is required to stretch the spring 0.2 m from its equilibrium position?
d. How much additional work is required to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium?
a. k=
(Type an integer or a decimal.)
b. Set up the integral that gives the work done in compressing the spring 0.6 m from its equilibrium position. Use decreasing limits of integration.
(Type exact answers.)
Find the work done in compressing the spring.
The work is
(Type an integer or a decimal.)
c. Set up the integral that gives the work done in stretching the spring 0.2 m from its equilibrium position. Use increasing limits of integration.
dx
(Type exact answers.)
Find the work done in stretching the spring.
The…
Question #30. Please use the attached equation sheet and start with an equation from the sheet and work from there. You can manipulate anyway you want you just have to start from the equation sheet.
QUESTION 9
The rate of change of work done is called :
O Potential energy ,and SI unit is joule
O Force ,and Sl unit is Newton
O Power, and Sl unit is Watt
O kinetic energy ,and SI unit is joule
QUESTION 10
A simple pendulum with a length of 1 m oscillates, if the time period
acceleration of gravity will be
Chapter 11 Solutions
Physics Laboratory Manual
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- Does everything have energy? Give the reasoning for your answer.arrow_forward“ E=K+Uconstant is a special case of the work energy theorem.” Discuss this statement.arrow_forwardIn Chapter 7, the work-kinetic energy theorem, W = K, was introduced. This equation states that work done on a system appears as a change in kinetic energy. It is a special-case equation, valid if there are no changes in any other type of energy such as potential or internal. Give two or three examples in which work is done on a system but the change in energy of the system is not a change in kinetic energy.arrow_forward
- A student has the idea that the total work done on an object is equal to its final kinetic energy. Is this idea true always, sometimes, or never? Ii it is sometimes true, under what circumstances? If it is always or never true, explain why.arrow_forwardIn the reality television show “Amazing Race” (https://openstaxcollege.org/l/2lamazraceclip), a contestant is firing 12-kg watermelons from a slingshot to hit targets down the field. The slingshot is pulled back 1.5 m and the watermelon is considered to be at ground level. The launch point is 0.3 m from the ground and the targets are 10 m horizontally away. Calculate the spring constant of the slingshot.arrow_forwardA bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant vanes over its stretch [see Menz, P.G. “The Physics of Bungee Jumping.” The Physics Teacher (November 1993) 31: 483-487]. Take the length of the cord to be along the direction and define the stretch as the length of the cord minus its un-stretched length that is, (see below). Suppose a particular bungee cord has a spring constant, for of and for. (Recall that the of (Recall that the spring constant is the slope of the force versus its stretch (a) What is the tension in the cord when the stretch is 16.7 m (the maximum desired for a given jump)? (b) How much work must be done against the elastic force of the bungee cord to stretch It 16.7 m? Figure 7.16 (credit modification of work by Graeme Churchard)arrow_forward
- The man of the preceding problem consumes approximately 1.05107J (2500 food calories) of energy per day in maintaining a constant weight. What is the average power he produces over a day? Compare this with his power production when he runs up the stairs.arrow_forwardMost electrical appliances are rated in watts. Does this rating depend on how long the appliance is on? (When off, It is a zero-wan device.) Explain in terms of the definition of power.arrow_forwardCheck Your Understanding Suppose the mass in Equation 8.6 is doubled while keeping the all other conditions the same. Would the maximum expansion of the spring increase, decrease, or remain the same? Would the speed at point B be larger, smaller, or the same compared to the original mass?arrow_forward
- A block of mass 300 g is attached to a spring of spring constant 100 N/m. The other end of the spring is attached to a support while the block rests on a smooth horizontal table and can slide freely without any friction. The block is pushed horizontally till the spring compresses by 12 cm, and then the block is released from rest. (a) How much potential energy was stored in the block-spring support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the speed of the block when it has traveled a distance of 20 cm from where it was released.arrow_forwardIntegrated Concepts (a) What force must be supplied by an elevator cable to produce an acceleration of 0.800 m/s2 against a 200-N frictional force, if the mass of the loaded elevator is 1500 kg? (b) How much work is done by the cable in lifting the elevator 20.0 m? (c) What is the final speed of the elevator if it starts from rest? (d) How much work went into thermal energy?arrow_forwardConsider the following scenario. A car for which friction is not negligible accelerates from rest down a hill, running out of gasoline after a short distance. The driver lets the car coast farther down the hill, then up and over a small crest. He then coasts down that hill into a gas station, where he brakes to a stop and fills the tank with gasoline. Identify the forms of energy the car has, and how they are changed and transferred in this series of events. (See Figure 7.34.) Figure 7.34 A car experiencing non-negligible friction coasts down a hill, over a small crest then dill again, and comes to a stop at a gas station.arrow_forward
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