Home
Class 11
PHYSICS
Two balls are moving on the same smooth ...

Two balls are moving on the same smooth horizontal plane. Their velocity components along one adge of the square plane are `10sqrt(3)m//s` & `20 m//s` respectively. Their velocity components along a perpenficular edge are `30 m//s` & `20 m//s`. Find the angle between their directions of motion.

Text Solution

Verified by Experts

The correct Answer is:
`15^(@)`

`tan alpha=30/(10sqrt(3))rArr alpha=60^(@)`
`tan beta=20/20rArr beta=45^(@) rArr alpha-beta=15^(@)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise EXERCISE-5(A)|15 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Exersice -05(B)|20 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Exercise-04 [A]|28 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

Two balls are rolling on a flat surface. One has velocity components m//s and sqrt(3) m//s along the rectangular axes x and y , respectively and the other has component 2 m//s and 2 m//s , respectively. If both the balls start moving from the same point, the angle between their directions of motion is

The velocities of 4 molecules are 2m//s, 4m//s, 5m//s and 6m//s respectively. What is their mean square velocity?

Two elastic bodies P and Q having equal mases are moving along the same line with velocities of 16 m/s and 10 m/s respectively. Their velocities after the elastic collision will be in m/s :

A harmonically moving transverse wave on a string has a maximum particle velocity and acceleration of 3 m/s and 90 m//s^(2) respectively. Velocity of the wave is 20 m//s . Find the waveform.

One of the rectangular of a velocity 20m/s is 10sqrt(3)m/s .Find the other component

Two billiard ball, rolling a flat table, have started moving from the same point. If their x components of velocities are sqrt3m//s and 2m//s and y components of velocities are 1m//s and 2m//s , respectively, calculate the angle between their paths .

Two particles are projected from a tower horizontally in opposite directions with velocities 10 m//s and 20 m//s . Find the time when their velocity vectors are mutually perpendicular. Take g=10m//s^2 .

Two objects of masses 100g and 200g are moving along the same line in the same line in the same direction with velocities of 2m//s and 1m//s , respectively. They collide and after the collison, the first object moves at a velocity of 1.67 m//s in the same direction. Determine the velocity of the second object.

Two equal masses m_1 and m_2 moving along the same straight line with velocites +3 m//s and - 5 m//s respectively collide elastically. Their velocities after the collision will be respectively.

If velocities of 3 molecules are 5 m/s, 6m/s and 7 m/s respectively, then their mean square velocity in m^2/s^2 is