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Particles P and Q of mass 20g and 40g re...

Particles P and Q of mass 20g and 40g respectively are simu ltaneously proejected from points A and B on the ground. The initial velocities of P and Q make `45^(@)` and `135^(@)` angles respectivley with the horizontal AB as shown in the Fig. 5.44 Each particle has an initial speed of 49m/s . the separation AB is 249m. both particles travel in the same vertical plane and undergo a collision. After collision P retraces its path. Determine the position of q when it hits the grou.d How much time after the collision does the particle Q take to reach the ground? (Take g`=9.8m//s^(2)`)

Text Solution

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The correct Answer is:
A, B, C, D
If a body drops from a height `H` above the ground then the time taken by it to reach the ground
` t = sqrt ((2H)/(g)) :. t = sqrt (( 2xx61.25)/(9.8)) = 3.53 s `
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Knowledge Check

  • Particles P and Q of masses 20g and 40g , respectively, are projected from positions A and B on the ground. The initial velocities of P and Q make angles of 45^(circ) and 135^(circ) , respectively with the horizontal as shown in the fig. Each particle has an initial speed of 49m//s . The separation AB is 245m . Both particles travel in the same vertical plane and undergo a collision. After the collision P retraces its path. The separation of Q from its initial position when it hits the ground is

    A
    `245m`
    B
    `(245)/(3)m`
    C
    `(245)/(2)m`
    D
    `(245)/(sqrt(2))m`

  • Two particles P & Q are projected simultaneously from a point O on a level ground in the same vertical plane with the same speed in directions making angle of 30^(@) and 60^(@) respectively with the horizontal.

    A
    Both reach the ground simultaneously
    B
    P reaches the ground earlier than Q
    C
    Both strike the same point on the level ground
    D
    The maximum height attained by Q is thrice that attained by P

  • A particle is projected from ground with some initial velocity making an angle of 45^(@) with the horizontal. It reaches a height of 7.5 m above the ground while it travels a horizontal distance of 10 m from the point of projection. The initial speed of the projection is

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    `5 m//s`
    B
    `10 m//s`
    C
    `20 m//s`
    D
    `40 m//s`

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