An object having mass m is initially at rest on a frictionless horizontal surface. At time...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
An object having mass m is initially at rest on a frictionless horizontal surface. At time t = 0; a force is applied horizontally to the object, causing it to move in the positive x-direction. The force, in Newtons, is given by f(t) = 12t. (a) Given that velocity is the change in displacement with respect to time and the acceleration is the change in velocity with respect to time. State a second order ordinary differential equation and two initial conditions of this problem. (Hint: The net force on an object is equal to the mass of the object multiplied by the acceleration of the object) (b) Let m = 1 kg. Using Laplace Transform, find the velocity, and the displacement, x of the object at t = 2 seconds. An object having mass m is initially at rest on a frictionless horizontal surface. At time t = 0; a force is applied horizontally to the object, causing it to move in the positive x-direction. The force, in Newtons, is given by f(t) = 12t. (a) Given that velocity is the change in displacement with respect to time and the acceleration is the change in velocity with respect to time. State a second order ordinary differential equation and two initial conditions of this problem. (Hint: The net force on an object is equal to the mass of the object multiplied by the acceleration of the object) (b) Let m = 1 kg. Using Laplace Transform, find the velocity, and the displacement, x of the object at t = 2 seconds.
Expert Answer:
Answer rating: 100% (QA)
a Second order ordinary differential equation The net force acting on the object is equal to the mas... View the full answer
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Posted Date:
Students also viewed these physics questions
-
A 12.0-g bullet is fired horizontally into a 116-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 143 N/m. The bullet...
-
Culturally acquired patterns of pain responses may also influence the neurophysiological and verbal responses to pain. 1.Response to pain may be limited by what 2 factors? 2.Pain-coping strategies...
-
Kenny operates a store, where he sells feed and other supplies to farmers. Heather purchases a $20,000 tractor from Kenny and pays Kenny with $18,000 in cash and $2,000 in corn. How much gross income...
-
1. When the selection of one element from the population influences the selection of another element, the sample: a. is from a finite population. b. was selected using computer-generated random...
-
A bead with mass 1.8 x 10 -2 kg is moving along a wire in the positive direction of an x axis. Beginning at time t = 0, when the bead passes through x = 0 with speed 12 m/s, a constant force acts on...
-
Jackson and Richard formed a partnership on 1 July 2025, agreeing to share profits and losses in the ratio of 2:1. Jackson contributed \($30\) 000 in cash and land with a fair value of \($180\) 000....
-
Chicago Co. expects to receive 5 million euros in one year from exports. It can use any one of the following strategies to deal with the exchange rate risk. Estimate the dollar cash flows received as...
-
(a) (b) (c) Small business owners are discovering that social media marketing is quickly becoming an important method for driving business growth. While the idea of using "free tools" to drive...
-
On December 31, 2018, ABC Inc. issued 2,030 stock options with an estimated value of $16 per option. Each option entitles the owner to purchase one share of ABC stock for $25 a share (the per share...
-
Go to the Web site for the Software Engineering Institute of Carnegie Mellon University at https://resources.sei.cmu.edu/asset_files/SpecialReport/1994_003_001_16265.pdf and access the software...
-
Go to www.gamedev.net/page/resources/_/business/business-and-law/critical-path-analysis-and-scheduling-for-game-r1440 and click around the site. There are several articles on how to run your own...
-
The ELV (extra low voltage) project, which was meant to install, test, and commission IT, communications infrastructure, and services for the Five Star Hotel in Bahrain, concluded in 2011. The...
-
Calculate the fully loaded cost of labor for a project team member using the following data: Hourly rate: $52/hr Hours needed: 120 Overhead rate: 60%
-
Knut Yrvin functions as the team leader for an initiative to replace proprietary operating systems with Linux-based technology in schools in Norway (the project is named Skolelinux). Read his...
-
Two cars with the same mass are driving on the freeway, and Car #2 is going three times faster than Car #1. How do the momenta of the two cars compare? Car #1 has one-ninth as much momentum as Car...
-
Drainee purchases direct materials each month. Its payment history shows that 65% is paid in the month of purchase with the remaining balance paid the month after purchase. Prepare a cash payment...
-
The atmospheric density at an altitude of 2500 km is about 1 molecule/cm3. (a) Assuming the molecular diameter of 2.0 x 10-8 cm, find the mean free path predicted by Eq. 19-25. (b) Explain whether...
-
The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 0.76 m. If the piston moves with simple harmonic motion with an angular frequency of 180rev/min, what is its...
-
In Figure suppose the length L of the uniform bar is 3.00 m and its weight is 200 N. Also, let the block's weight W = 300 N and the angle = 30.0?. The wire can withstand a maximum tension of 500 N....
-
What are the implications of behavioral finance?
-
Suppose that you are a trader at the stock market. T-Mobiles stocks currently trade at $45 and the expected return is 9%. You have information that leads you to believe that by the end of year the...
-
You are considering purchasing a 10-year bond and follow the theory of rational expectations. If you have just read the annual report of the central bank in your country that states interest rates...
Study smarter with the SolutionInn App