A single conservative force F = (6.0x 12)i N, where x is in meters, acts on

Question:

A single conservative force F = (6.0x – 12)i N, where x is in meters, acts on a particle moving along an axis. The potential energy U associated with this force is assigned a value of 27 J at x = 0.

(a) Write an expression for U as a function of x, with U in joules and x in meters.

(b) What is the maximum positive potential energy? At what

(d) Positive value of x is the potential energy equal to zero?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Fundamentals of Physics

ISBN: 978-0471758013

8th Extended edition

Authors: Jearl Walker, Halliday Resnick

See More Books

Question Posted: Jan 10, 2011 07:08 AM

See More Questions

A force acts on a particle moving along the x-axis. This force produces a potential energy U(x) = -C/x, such that C = 213 Jm is a constant. What is the acceleration of the particle (mass = 2.10 kg)...
A single conservative force acting on a particle varies as F = (-Ax + Bx2) i N, where A and B are constants and x is in meters. (a) Calculate the potential-energy function U(x) associated with this...
The Taylor series expansion for cos(x) is: where x is in radians. Write a MATLAB program that determines cos (x) using the Taylor series expansion. The program asks the user to type a value for an...
The 2017 financial statements for the Thor and Gunnar companies are summarized below. These two companies are in the same business and in the same province but in different cities. One-half of Thor?s...
Explain in general terms how savings institutions differ from commercial banks with respect to their sources of funds and uses of funds. Discuss each source of funds for savings institutions....
In recent years, Freeman Transportation purchased three used buses. Because of frequent turnover in the accounting department, a different accountant selected the depreciation method for each bus,...
True or False. The ANOVA method is robust when the assumption of normality is not exactly satisfied in a completely randomized design. LO4
Assume Safe Runner Products, Inc., purchased conveyor-belt machinery. Classify each of the following expenditures as a capital expenditure or an immediate expense related to machinery: a. Purchase...
Statement I: If an agent acts in his name, the principal shall have a right of action against the persons with whom the agent has contracted. Statement II: Should there be a stipulation that the...
A store maintains data on customers, products and purchase records in three tables: CUSTOMER, PRODUCT, PURCHASE. The store manager wants to know which product is on its maximum discount for each...
In Problem 8, what are the magnitudes of (a) The horizontal component and (b) The vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released...
The string in Figure is L = 120 cm long, has a ball attached to one end, and is fixed at its other end. The distance d from the fixed end to a fixed peg at point P is 75.0 cm. When the initially...
For the year ended December 31, 2017, WestJet Airlines Ltd. reported (in thousands) revenue $4,502,320; profit $283,578; beginning shareholders equity $2,060,702; and ending shareholders equity...
Allison, Inc., produces two products, X and Y, in a single joint process. Last month the joint costs were P75,000 when 10,000 units of Product X and 15,000 units of Product Y were produced....
8+0.5 = 4. Consider a system with a lead compensator Ge(s) = +0.13 followed by a plant G(s) = 10 Determine a value for a gain K on the error signal such that the phase margin s(s+1) of the open-loop...
Standard Normal Distribution. In Exercises 17-36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard...
After making several improvements in the east process, you now want to put controls in place to detect new problems if they occur. To help with this, the workers collected a sample of 5 capsules each...
Help es ! Required information The box shown has cardboard sides and wood strips along the edges and from corner to corner. The strength of the box is provided primarily by the wood strips, and a...
Explain the similarities and differences between heritage attractions and commercial attractions.
A simple random sample of 220 university students were asked what pasta they usually order and with which sauce. The preferences of these respondents are summarised below: Sauce Bolognese Pasta...
Ali is responsible for preparing bank reconciliation statements at Broad Ltd. Broad Ltd has many bank accounts, including separate accounts for each major branch, imprest accounts for salaries and...
At NASAs John H. Glenn research center in Cleveland, Ohio, free-fall research is performed by dropping experiment packages from the top of an evacuated shaft 145 m high. Free fall imitates the...
An inquisitive physics student and mountain climber climbs a 50.0-m cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a...
A rock is dropped from rest into a well. The well is not really 16 seconds deep, as in Figure P2.70. (a) The sound of the splash is actually heard 2.40 s after the rock is released from rest. How far...
Al preparar el estado de resultados pro forma, cules de las siguientes partidas se deducen de las utilidades brutas para llegar a las ganancias despus de impuestos? Pregunta de seleccin mltiple....
Lawson Inc. is expanding its manufacturing plant, which requires an investment of $4 million in new equipment and plant modifications. Lawson's sales are expected to increase by $3 million per year...
20 On January 1, Year 1, X Company purchased equipment for $80,000. The company estimates that the equipment will have a useful life of 10 years and a residual value of $5,000. X Company depreciates...

A single conservative force F = (6.0x 12)i N, where x is in meters, acts on

Question:

Step by Step Answer:

a With energy in Joules and length in meters we have AU Ux U0 6x...View the full answer

Fundamentals of Physics

Students also viewed these Mechanics questions