A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0.du1. Using the change of variables = V find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m.7dxv(x) =ASPdvdt2. Calculate the distance travelled by the particle before coming to a stop.

Name: A particle of mass m moves in a straight line wih velocity v(t), subj
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0.du1. Using the change of variables = V find the velocity of the particle as a func

Velocity of particle= v(t)=v in forward x direction Resistance force working on the particle= F= 4mv…

Science

Physics

A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0. du dt 1. Using the change of variables = V dv dx , find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m. v(x) = 2. Calculate the distance travelled by the particle before coming to a stop. x =

A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0. du dt 1. Using the change of variables = V dv dx , find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m. v(x) = 2. Calculate the distance travelled by the particle before coming to a stop. x =

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

A toy is dropped from the top of a tower that is "h" meters high. It falls and its speed just as it touches the ground is 6.3 m/s. Neglect air resistance. How tall is the tower?
Tarzan grabs a vine hanging vertically from a tall tree when he is running at 9.3 m/s. a. How high (in m) can he swing upward? (Enter your answer with respect to the ground.) (Answer in m) b. Does the length of the vine affect this height? (Yes or No)
A) A student throws a dart horizontally toward the center of a target, X, at a speed of 20 m/s as shown. The dart flies for 0.1 s and then hits below the center, at Y. How much lower, in m, does it hit? B) A drone at too great a height drops a box. The box drops straight down the ground and hits at 100 m/s smashing the contents. Neglecting air friction, approximately, how high, in m was the drone? C) is in the picture
At a particular instant, a hot air balloon is 48.7m above a horizontal field and descending at a rate of 2.67m/s. At this instant, a girl who is riding in the gondola of the balloon throws a ball with a speed of 14.7m/s with a direction that is horizontal in the frame of the gondola. When the balloon lands on the ground, how far, in meters, is she from where the ball landed? Neglect air resistance.
Determine the relationship which governs the velocities of the three cylinders, and state the number of degrees of freedom. Express all velocities as positive down. If VA = 1.87 m/s and vc = 2.51 m/s, what is the velocity of B? Answers: Number of degrees of freedom: n = i Vg= m/s
A 25-kg projectile is fired vertically upward from the ground, if the velocity is 35m/s at 5m above the ground. Determine the maximum height (from the ground) in meters to which it will travel if a. Atmospheric resistance is neglected. b. Atmospheric resistance is measured as ??= 0.01?^2 (in Newtons), where ? is the speed of the projectile at any instant, measured in m/s.
PROBLEM: A ball with mass 0.15 kg is thrown upward with initial velocity velocity 20 m/s from the roof of a building 30 m high. Neglect air resistance. Assume that the conditions are the same as the above except that there is a force due to air resistance of magnitude |v| / 30 directed opposite to the velocity, where the velocity v is measured in m/s. a. Find the maximum height above the ground that the ball reaches. b. Find the time that the ball hits the ground. c. Plot the graphs of velocity and position versus time. *** If possible, please solve for part b using the graphing calculator? Thank you.
Calvin throws a ball straight down from the balcony of an apartment building at a velocity of 5.04 m/s. What is the absolute value of the velocity (in m/s) after 1.108 s have passed
A stone is thrown vertically upward. On its way up it passes point A with a speed v, and point B, 4.00 m higher than A, with a speed of 1/3 v. The speed v is:
. The rocket is fired 200 m downfield from an observer at O. When the rocket has climbed to 100 m in height at P, is has a purely vertical velocity of v = 15 m/s. What is r and 8? 1 200 m 100 m