physics

6. Two particles are moving with a constant speed v such that these are always at a constant distance d apart and their velocities are equal and opposite. After what time do these return to their original positions

  1. 👍 0
  2. 👎 0
  3. 👁 96
  1. Speed=v (in given units)
    magnitude of velocity of each particle = v
    direction: opposite

    Velocity of particle 1: <v cosθ,v sinθ>
    velocity of particle 2: <-v cosθ -v sinθ>

    Distance between particles:
    √(((vcosθ-(-vcosθ))²+((vsinθ-(-vsinθ))²)
    = 2v = constant

    Thus the particules are in circular motion and are diagonally opposite, with radius of circle = speed v.

    The time to return to the original position
    = circumference of circle / speed
    = (2πv)/v
    = 2π (unit depends on the time unit of v).

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    2 particles ar moving with constant speed v such that they are always at a constant distance d apart and their velocities are always equal and opposite. After what time they return to their initial positions?

    asked by harit on May 16, 2014
  2. Chemistry

    If the color of a silver nanoparticle remains constant, what does that tell you about the tendency of the particles to aggregate under those conditions? I think the particles won't aggregate, but I am not sure why. Is it because

    asked by A on September 24, 2015
  3. phsyic's

    If an object is moving at a constant acceleration then it could NOT be.... A. changing its direction B. moving in a straight line C. Moving at a constant speed D. Moving at a constant velocity ((D is what I think it is))

    asked by Ludwig on January 10, 2018
  4. science

    Two particles are moving at a speed v such that they are always at a constant distance d apart and their velocities are always equal and opposite.at what time they return to their initial positions?

    asked by sandhiya on June 11, 2013
  5. physics # 1

    1. If a particle moves in a plane so that its position is described by the function x = Acosùt, and y = Asinùt, it is a.) moving with varying speed along a circle b.) moving with constant speed along a circle c.) moving with

    asked by gomez on August 7, 2007
  6. Dynamics

    Car A is moving at a constant speed Va=75 km/h, while car C is moving at a constant speed Vc=42 km/h on a circular exit ramp with radius p=80m. Determine the velocity and acceleration of C relative to A.

    asked by Matt on January 30, 2011
  7. Science

    A spring balance attched to the ceiling of an elevator supports a 10N object. In each of the following casses, tell whether there is a net force or none on the object. If there is in what direction does it act? Tell whether the

    asked by Klari on February 25, 2019
  8. physics

    A car moving at a speed of approximately 176.5 km/h. 923 m in front of the car, there is a truck moving at a speed of 84.2 km/h in the same direction. 1.What is the name of the physical process that would occur if both vehicles

    asked by Sandhya on December 2, 2008
  9. physics

    One particle has a mass of 3.00*10-3 kg and a charge of +7.60 µC. A second particle has a mass of 6.00*10-3 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and

    asked by Ann on February 3, 2007
  10. Physics

    Rank the magnitude of the change in momentum of a ball from largest to smallest in the following situations: a) The ball is moving with constant velocity, hits a wall, and stops moving. b) The ball is moving with constant

    asked by alison on October 12, 2018

More Similar Questions