Advertisements
Advertisements
Question
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.
Advertisements
Solution
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^'.`
APPEARS IN
RELATED QUESTIONS
A bullet of mass 0.012 kg and horizontal speed 70 m s–1 strikes a block of wood of mass 0.4 kg and instantly comes to rest with respect to the block. The block is suspended from the ceiling by means of thin wires. Calculate the height to which the block rises. Also, estimate the amount of heat produced in the block.
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.
- Colliding bodies are identical.
- A very heavy object collides on a lighter object, initially at rest.
- A very light object collides on a comparatively much massive object, initially at rest.
Solve the following problem.
A marble of mass 2m travelling at 6 cm/s is directly followed by another marble of mass m with double speed. After a collision, the heavier one travels with the average initial speed of the two. Calculate the coefficient of restitution.
In inelastic collision, ____________.
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 particle of mass m with an initial velocity u`hat"i"` collides perfectly elastically with a mass 3m at rest. It moves with a velocity v`hat"j"` after collision, then, v is given by :
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)
Answer carefully, with reason:
Is the total linear momentum conserved during the short time of an inelastic collision of two balls ?
What do the objects do "after collision"?
What is a collision?
