Point material of mass 1 Kgr moves along the x-axis under the influence force F, which opposes the motion and is proportional to its square of speed with proportionality constant B=2. There is no gravity. A) Find the velocity and position of the material point for t > 0, if for t = 0 u = 2 m/s and x=0. B) Investigate your results: 1) if they satisfy the initial conditions, 2) if they have the right dimensions and 3) if in the limit t → they logically give and expected results.

Point material of mass 1 Kgr moves along the x-axis under the influence force F, which opposes the motion and is proportional to its square of speed with proportionality constant B=2. There is no gravity. A) Find the velocity and position of the material point for t > 0, if for t = 0 u = 2 m/s and x=0. B) Investigate your results: 1) if they satisfy the initial conditions, 2) if they have the right dimensions and 3) if in the limit t → they logically give and expected results.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Many physical properties, such as force and mass, cannot be measured directly. Rather, some other physical property is measured and the desired physical property is computed from the results. For example, a bathroom scale does not actually measure mass or "weight," but rather the compression distance of a spring. The numerical values on the scale are calibrated from the compression distance using basic physics principles such as Newton's second law. Coefficients of friction cannot be measured directly. In this problem, we are going to learn how we can indirectly measure the coefficient of kinetic friction between two surfaces by directly measuring the expansion of a spring. Consider a 5.45 kg5.45 kg block that is dragged by a spring on a (relatively) frictionless horizontal surface at constant velocity. Suppose the block reaches a rough patch and the spring stretches by 5.25 cm5.25 cm. Compute the coefficient of kinetic friction ?μ between the block and the rough patch if the spring…
7:47 O H all 33% A www.coursehero.com Find study reso... General Physics Module Phys 1011 AAU 1.3.1 Vectors Vectors are physical quantities such as force, velocity, acceleration and momentum that are expressed in terms of both magnitude (with a unit) and direction. Geometrically, they are represented by arrows in two or three dimensions because arrows have both characteristics of a vector: magnitude and direction. Note that quantities with a sense of direction such as angles and time are not vectors, because they do not obey the law of parallelogram. A physical quantity is a genuine vector if it adds to another vector according to the law of parallelogram. That is true vectors obey the law of parallelogram. Finite angles are physical quantities with a sense of direction (clockwise or counterclockwise), but they are not vectors because they violate the law of parallelogram. Physical quantities such as length, volume, mass, density, temperature and time can be expressed in terms of…
A high-performance dragster with the mass of 1390 kg can accelerate at a rate of a=22 m/s^2. randomized Variables M=1390 kg A= 22m/s^2 (A) write an expression for the magnitude of the net force, f net, that propels the dragster forward in terms of the variables provided. (B) if the track is L=400m long, what is the numerical value of the dragsters final speed, vf in m/s?
A chandelier hangs h = 0.62 m down from two chains of equal length. The chains are separated from one another by a length L = 0.45 m at the ceiling. The chandelier has a mass of m = 21 kg.Randomized Variablesh = 0.62 mL = 0.45 mm = 21 kgWhat is the angle, θ in degrees, between one of the chains and the vertical where it contacts the chandelier? Write an expression for FT,y, the magnitude of the y-component of the tension in one chain, in terms of the given information and variables available in the palette. FT,y = Using your previous results, find the tension, FT in Newtons, in one chain. FT =
A 1.80x10^4 kg semi-trailer truck drives up a 200 m hill [θ = 30 degrees above horizontal], at a constant speed of 25.0 m/s. The force of friction is 6.00x10^2 N. Write an equation to isolate and solve for P.
We often think of friction and air resistance as forces that we want to minimize because they can hinder the motion of an object. But they are not always undesirable, and in fact, can be an essential element in a machine or process. Identify one or two applications that depend on friction and air resistance. Explain how friction or air resistance works in those situations and what would happen if there were no friction or air resistance. Your initial post should be 75-150 words in length and is due on Sunday.
A box of mass 15.4 kg is slid along the floor. The initial speed of the box is 2 m/s and it comes to rest after 9.2 m. What was the magnitude of the force of friction acting on the box during this motion? You must enter you answer and include the SI units. (For example: 3.0kg)
A 150-g baseball is dropped from a tree 15.0 m above the ground. a.)With what speed would it hit the ground if air resistance could be ignored? Express your answer to three significant figures and include the appropriate units. b.)If it actually hits the ground with a speed of 8.00 m/s, what is the magnitude of the average force of air resistance exerted on it? Express your answer to three significant figures and include the appropriate units.
Please only Part A and C; thank you! A ball of mass 0.472 kg moving east (+x direction) with a speed of 3.80 m/sm/s collides head-on with a 0.236 kg ball at rest. Assume that the collision is perfectly elastic. Part A What is be the speed of the 0.472-kg ball after the collision? Express your answer to three significant figures and include the appropriate units. v1=_____________ Part C What is the speed of the 0.236-kg ball after the collision? Express your answer to three significant figures and include the appropriate units. v2=____________ Note: The direction of velocity of both v1 and v2 is to the east.
The conveyor belt is designed to transport packages of various weights. Each 10-kg package has a coefficient of kinetic friction u. = 0.31. The speed of the conveyor is 4 m/s , and then it suddenly stops. (Figure 1) Part A Determine the distance the package will slide on the belt before coming to rest. Express your answer to three significant figures and include the appropriate units. ? Figure 1 of 1 S = Value Units Submit Request Answer B Provide Feedback
A block with a mass (m) of 74.7 kg slides along a horzontal surface. the coefficent of kinetic friction is .31. THe block has an ititial speed (v0) at 11.6m/s in the positive direction. 1) write and expression for the x component of the frictional force of the block experiences Ff in terms of the given variables and variables avaible. 2) what is the magnitude of the frictional force? 3) how for will the block travel before coming to rest.
Superman must stop a 105-km/h train in 100 m to keep it from hitting a stalled car on the tracks. The train's mass is 3.6 × 105 kg. A.) Determine the force that must be exerted on the train. Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the force is in the direction of the initial velocity and negative value if the direction of the force is in the direction opposite to the initial velocity. FTS =_____________________ ______________________ B.) Compare the magnitudes of the force exerted on the train and the weight of the train (give as %%). Express your answer using two significant figures. FTS/mg = _______________________% C.) How much force does the train exert on Superman? Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the force is in the direction of the initial velocity and negative value if the direction of the force is…