Home
Class 11
PHYSICS
A bullet fired into a fixed target loses...

A bullet fired into a fixed target loses half of its velocity after penetrating 3cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

Text Solution

Verified by Experts

Let `m` be the mass of bullet and `upsilon` be its initial velocity. If `F` is constant resistance to motion, then
`(i)` Work done `=` loss in KE `=` force `xx` distance
`=(1)/(2) m(upsilon^(2)-(upsilon^(2))/( 4))=Fxx3`
or `(1)/(2) m ( (3 upsilon^(2))/(4))=Fxxs ....(i)`
`(ii)` Work done `=` loss in KE `=` force `xx` distance
`=(1)/(2) m ( (upsilon^(2))/( 4)-0)=Fxxs...(ii)`
Dividing `(ii)` and `(i)`, we get
`(1)/(3) =(s)/(3)`
`:. s = 1 cm`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Assertion-Reason Type Questions|24 Videos

  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Comprehension|9 Videos

  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm . How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

A bullet fired into a fixed target loses half of its velocity after penetrating 1 cm . How much further it will penetrate before coming to rest, assuming that it faces constant resistance to motion

A body loses half of its velocity on penetrating 6 cm in wooden block. How much will it penetrate more before coming to rest ?

A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of

If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?

A bullet fired into a wooden block loses half of its velocity after penetrating 60cm. It comes to rest after penetrating a further distance of

When a bullet is fired a target, its velocity dwecreases by half after penetrating 30 cm into it. The additional thickness it will penetrate before coming to rest is

.A bullet when fired at a target has its velocity decreased to 50% after penetrating 30cm into it.Then the additional thickness it will penetrate in cm before coming to rest is

Knowledge Check

  • A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm . How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

    A
    `1.5cm`
    B
    `1.0cm`
    C
    `3.0cm`
    D
    `2.0cm`

  • A bullet fired into a fixed target loses half of its velocity after penetrating 1 cm . How much further it will penetrate before coming to rest, assuming that it faces constant resistance to motion

    A
    `1.5 cm`
    B
    `1.0 cm`
    C
    `3.0 cm`
    D
    `2.0 cm`

  • A bullet fired in to a fixed target tosses half of it's velocity after penetrating distance of 3 cm. How much further it will penetrate before coming to rest assuming that if faces constnat resistance to it's motion?

    A
    3 cm
    B
    2.0 cm
    C
    1.5 cm
    D
    1.0 cm