Suppose that particle A is constrained to move along the r-axis while particle B is constrained to move along the y-axis, and that the two particles behave in a strange fashion, so that particle A's velocity along the r-axis is given by VA = D2 and particle B's velocity along the y-axis is given by 10 VB = D2 where D is the distance between the two particles. Calculate the acceler- ation of particle A when particle A is located at (3,0) and particle B is located at (0, 4). Recall that acceleration is the derivative of velocity.

Suppose that particle A is constrained to move along the r-axis while particle B is constrained to move along the y-axis, and that the two particles behave in a strange fashion, so that particle A's velocity along the r-axis is given by VA = D2 and particle B's velocity along the y-axis is given by 10 VB = D2 where D is the distance between the two particles. Calculate the acceler- ation of particle A when particle A is located at (3,0) and particle B is located at (0, 4). Recall that acceleration is the derivative of velocity.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 129CP: In a later chapter, you will find that the weight of a particle varies with altitude such that...

See similar textbooks

Similar questions

Suppose two particles are traveling along the space curves r1(t)=< t2,, 8t-16, t2 > and r1(t)=< 3t+4, t2, 5t-4, >. A collision will occur when the two particles arrive at the same point at the same time. Find any time(s) and location(s) when and where the particles collide
To decide who pays for lunch, a passengeron a moving train tosses a coin straight upward with an initialspeed of 5.25 m>s and catches it again when it returns to its initial level. From the point of view of the passenger, then, the coin’sinitial velocity is 15.25 m>s 2yn . The train’s velocity relative to theground is 112.1 m>s2xn . (a) What is the minimum speed of the coinrelative to the ground during its flight? At what point in the coin’sflight does this minimum speed occur? Explain. (b) Find the initial speed and direction of the coin as seen by an observer on theground. (c) Use the expression for ymax derived in Example 4-14 tocalculate the maximum height of the coin, as seen by an observeron the ground. (d) What is the maximum height of the coin fromthe point of view of the passenger, who sees only one-dimensionalmotion?
You’re standing on an asteroid when you see your best friend rocketing by in her new spaceship. As she goes by, you notice that the front and rear of her ship coincide exactly with the 400-m-diameter of another nearby asteroid that is stationary with respect to you. However, you happen to know that your friend’s spaceship measured 500 m long in the showroom. What is your friend’s speed relative to you?
In a later chapter, you will find that the weight of a particle varies with altitude such that w=mgr02r2where r0is the radius of Earth and ris the distance from Earth’s center. If the particle is fired vertically with velocity v0from Earth’s surface, determine its velocity as a function of position r. (Hint: use adr=vdv, the rearrangement mentioned in the text.)
An observer sees two events 1.5108s apart at a separation of 800 m. How fast must a second observer be moving relative to the first to see the two events occur simultaneously?
Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?
Show that (x,t)=Aei(kwt) is a valid solution to Schrödinger's time-dependent equation.
Check Your Understanding Distances along a direction perpendicular to the relative motion of the two frames are the same in both frames. Why then are velocities perpendicular to the x-direction different in the two frames?
In a science-fiction TV show, the hero spent the entire 30 min fretting about running out offuel before he could pilot his spaceship back to base. Several times in the sequence thecamera cut from his worried face to the blasting rockets, to the fuel gauge, and back to hisworried expression as the engines roared and the fuel amount keeps decreasing. Whatshould he have done and what you would say about the writers of the show?
Two particles A and B start from rest at the origin s = 0 and move along astraight line such that aA = (6t − 3) m/s^2 and aB = (12t2 − 8) m/s^2, where t is inseconds. Determine the distance between them and the total distance each hastravelled at t = 4s.
Show that the kinetic energy of a particle of mass m is related to the momentum p of that particleby, E =p^2/2m. (Hint: plug mv in for p and simplify!)
calculate the reverberation time at 500hz for a conference room that is 12 ft wide, 20 ft long and 12 ft high. It has a carpeted floor, curtains on both sides, plasterboard (or equivalent) short sides, and a plasterboard ceiling. what will the reverberation tiume be if it is occupied by twenty people in comfortable upholstered seats?