मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Two different unknown masses A and B collide. A is initially at rest when B has a speed v. After collision B has a speed v/2 and moves at right angles to its original direction of motion. Find

Advertisements
Advertisements

प्रश्न

Two different unknown masses A and B collide. A is initially at rest when B has a speed v. After collision B has a speed v/2 and moves at right angles to its original direction of motion. Find the direction in which A moves after the collision.

बेरीज
Advertisements

उत्तर

Given:

`u_2 = v, u_1 = 0`

`v_2 = v/2, theta = ?`

Component along x-axis

`m_1v_1 costheta = m_2v` ..................(1)

Component along y-axis

`m_1v_1 sintheta = m_2(v/2)` ..................(2) 

from (1) and (2)

`tan theta = ((v/2))/v = 1/2;`

`theta = tan^-1(1/2) = tan^-1(0.5); theta = 26^circ33^'.`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Work, Energy and Power - Evaluation [पृष्ठ २०५]

APPEARS IN

सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Work, Energy and Power
Evaluation | Q IV. 4. | पृष्ठ २०५

संबंधित प्रश्‍न

State if the following statement is true or false. Give a reason for your answer. 

Total energy of a system is always conserved, no matter what internal and external forces on the body are present.


Answer carefully, with reason:

If the potential energy of two billiard balls depends only on the separation distance between their centres, is the collision elastic or inelastic? (Note, we are talking here of potential energy corresponding to the force during collision, not gravitational potential energy.)


Answer the following question.

Obtain its value for an elastic collision and a perfectly inelastic collision.


Answer the following question.

Discuss the following as special cases of elastic collisions and obtain their exact or approximate final velocities in terms of their initial velocities.

  1. Colliding bodies are identical.
  2. A very heavy object collides on a lighter object, initially at rest.
  3. A very light object collides on a comparatively much massive object, initially at rest.

Arrive at an expression for elastic collision in one dimension and discuss various cases.


A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 m/s, The kinetic energy of mass 6 kg is ____________.


A bullet fired from gun with a velocity 30 m/s at an angle of 60° with horizontal direction. At the highest point of its path, the bullet explodes into two parts with masses in the ratio 1:3. The lighter mass comes to rest immediately. Then the speed of the heavier mass is


Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed V as shown in figure.

If the collision is elastic, which of the following (Figure) is a possible result after collision?


A ball of mass m, moving with a speed 2v0, collides inelastically (e > 0) with an identical ball at rest. Show that for head-on collision, both the balls move forward.


A sphere of mass 'm' moving with velocity 'v' collides head-on another sphere of same mass which is at rest. The ratio of final velocity of second sphere to the initial velocity of the first sphere is ______. ( e is coefficient of restitution and collision is inelastic)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×