Physics
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Easy

Question

A car of mass 1000 kg travelling at 32 m/s cleches into a rear of a truck of mass 8000 kg moving in the same direction with a velocity of 4m/s. After the collision the car bounces with a velocity of 8ms-1 The velocity of truck after the impact is..m/s

  1. 8
  2. 4
  3. 6
  4. 9

The correct answer is: 9

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Related Questions to study

General
Maths-

text  If  end text f left parenthesis x right parenthesis equals fraction numerator left parenthesis x minus a right parenthesis left parenthesis x minus b right parenthesis over denominator x end fraction text  and  end text fraction numerator f left parenthesis x right parenthesis over denominator left parenthesis x minus y right parenthesis left parenthesis x minus z right parenthesis end fraction plus fraction numerator f left parenthesis y right parenthesis over denominator left parenthesis y minus z right parenthesis left parenthesis y minus x right parenthesis end fraction plus fraction numerator f left parenthesis z right parenthesis over denominator left parenthesis z minus x right parenthesis left parenthesis z minus y right parenthesis end fraction equals fraction numerator K over denominator x y end fraction text , then  end text K equals

text  If  end text f left parenthesis x right parenthesis equals fraction numerator left parenthesis x minus a right parenthesis left parenthesis x minus b right parenthesis over denominator x end fraction text  and  end text fraction numerator f left parenthesis x right parenthesis over denominator left parenthesis x minus y right parenthesis left parenthesis x minus z right parenthesis end fraction plus fraction numerator f left parenthesis y right parenthesis over denominator left parenthesis y minus z right parenthesis left parenthesis y minus x right parenthesis end fraction plus fraction numerator f left parenthesis z right parenthesis over denominator left parenthesis z minus x right parenthesis left parenthesis z minus y right parenthesis end fraction equals fraction numerator K over denominator x y end fraction text , then  end text K equals

Maths-General
General
physics

A partly hanging uniform chain of length L is resting on a rough horizontal table. l is the maximum possible length that can hang in equilibrium The coefficient of friction between the chain and table is…….

A partly hanging uniform chain of length L is resting on a rough horizontal table. l is the maximum possible length that can hang in equilibrium The coefficient of friction between the chain and table is…….

physicsGeneral
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physics

Three blocks having equal mass of 2 kg are hanging on a string passing over a pulley as shown in figure. what will be the tension produced in a string connecting the blocks B and .C

Three blocks having equal mass of 2 kg are hanging on a string passing over a pulley as shown in figure. what will be the tension produced in a string connecting the blocks B and .C

physicsGeneral
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A bag of sand of mass m is suspended hy rope. A bullet of mass m over 30 is fired at it with a velocity v and gets embedded into it . The velocity of the bag finally is…….

A bag of sand of mass m is suspended hy rope. A bullet of mass m over 30 is fired at it with a velocity v and gets embedded into it . The velocity of the bag finally is…….

physicsGeneral
General
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A train is moving along a horizontal track. A pendulum suspended from the roof makes an angle of 40 with the vertical. The acceleration of the train is-ms2(g=10ms2)

A train is moving along a horizontal track. A pendulum suspended from the roof makes an angle of 40 with the vertical. The acceleration of the train is-ms2(g=10ms2)

physicsGeneral
General
Maths-

f colon R not stretchy rightwards arrow R text  is given by  end text f left parenthesis x right parenthesis equals fraction numerator a to the power of x over denominator a to the power of x plus square root of a end fraction straight for all x element of R comma text  then  end text f open parentheses 1 over 1997 close parentheses plus f open parentheses 2 over 1997 close parentheses plus midline horizontal ellipsis plus f open parentheses 1995 over 1997 close parentheses plus f open parentheses 1996 over 1997 close parentheses equals

f colon R not stretchy rightwards arrow R text  is given by  end text f left parenthesis x right parenthesis equals fraction numerator a to the power of x over denominator a to the power of x plus square root of a end fraction straight for all x element of R comma text  then  end text f open parentheses 1 over 1997 close parentheses plus f open parentheses 2 over 1997 close parentheses plus midline horizontal ellipsis plus f open parentheses 1995 over 1997 close parentheses plus f open parentheses 1996 over 1997 close parentheses equals

Maths-General
General
physics

Three blocks A,B, and C of equal mass m are placed one over the other, one on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A,B and C is 0.5 What would he the maximum value of mass of block  so that the blocks A,B and C move without slipping over each other

Three blocks A,B, and C of equal mass m are placed one over the other, one on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A,B and C is 0.5 What would he the maximum value of mass of block  so that the blocks A,B and C move without slipping over each other

physicsGeneral
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physics

A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is if the body is pulled by a force P as shown in figure the limiting function between body and surface will be……..

A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is if the body is pulled by a force P as shown in figure the limiting function between body and surface will be……..

physicsGeneral
General
physics

A block of mass 300 kg is set into motion on a frictionless horizontal surface with the help of frictionless pulley and a rope system as shown in figure. What horizontal force F should be applied to produce in the block an acceleration of 1 ms-1

A block of mass 300 kg is set into motion on a frictionless horizontal surface with the help of frictionless pulley and a rope system as shown in figure. What horizontal force F should be applied to produce in the block an acceleration of 1 ms-1

physicsGeneral
General
Maths-

If f left parenthesis x right parenthesis is a polynomial function such that f space left parenthesis x right parenthesis f space open parentheses 1 over x close parentheses equals f left parenthesis x right parenthesis plus f space open parentheses 1 over x close parentheses text  and  end text f space left parenthesis 3 right parenthesis equals negative 80 text  then  end text f left parenthesis x right parenthesis minus f space open parentheses 1 over x close parentheses equals

G i v e n comma space
space space space space space space space space space f open parentheses x close parentheses f open parentheses 1 over x close parentheses equals f open parentheses x close parentheses plus f open parentheses 1 over x close parentheses
rightwards double arrow f open parentheses x close parentheses f open parentheses 1 over x close parentheses minus f open parentheses 1 over x close parentheses equals f open parentheses x close parentheses
rightwards double arrow f open parentheses 1 over x close parentheses open square brackets f open parentheses x close parentheses minus 1 close square brackets equals f open parentheses x close parentheses space space _ _ _ _ _ _ _ _ _ _ left parenthesis i right parenthesis

G i v e n comma space
space space space space space space space space space space f open parentheses x close parentheses f open parentheses 1 over x close parentheses equals f open parentheses x close parentheses plus f open parentheses 1 over x close parentheses
rightwards double arrow f open parentheses x close parentheses f open parentheses 1 over x close parentheses minus f open parentheses x close parentheses space equals f open parentheses 1 over x close parentheses
rightwards double arrow f open parentheses x close parentheses open square brackets f open parentheses 1 over x close parentheses minus 1 close square brackets equals f open parentheses 1 over x close parentheses space _ _ _ _ _ _ _ _ _ _ left parenthesis i i right parenthesis

M u l t i p l y i n g space e q u a t i o n space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t colon
f open parentheses 1 over x close parentheses open square brackets f open parentheses x close parentheses minus 1 close square brackets. space f open parentheses x close parentheses open square brackets f open parentheses 1 over x close parentheses minus 1 close square brackets equals f open parentheses x close parentheses f open parentheses 1 over x close parentheses
rightwards double arrow open square brackets f open parentheses x close parentheses minus 1 close square brackets. open square brackets f open parentheses 1 over x close parentheses minus 1 close square brackets equals 1 space space _ _ _ _ _ _ _ _ left parenthesis i i i right parenthesis

N o w comma space l e t space g left parenthesis x right parenthesis space equals space f open parentheses x close parentheses minus 1 space a n d space g open parentheses 1 over x close parentheses equals space f open parentheses 1 over x close parentheses minus 1
S o comma space e q u a t i o n space left parenthesis i i i right parenthesis space i s comma space
rightwards double arrow g left parenthesis x right parenthesis. g open parentheses 1 over x close parentheses equals 1
T h u s comma space g left parenthesis x right parenthesis equals plus-or-minus x to the power of n space end exponent space space a n d space space g open parentheses 1 over x close parentheses equals plus-or-minus 1 over x to the power of n
S o comma space f left parenthesis x right parenthesis equals plus-or-minus x to the power of n plus 1 space a n d space f open parentheses 1 over x close parentheses equals plus-or-minus 1 over x to the power of n plus 1

f left parenthesis 3 right parenthesis equals plus-or-minus 3 to the power of n plus 1
rightwards double arrow negative 80 equals plus-or-minus 3 to the power of n plus 1
rightwards double arrow negative 81 equals plus-or-minus 3 to the power of n
rightwards double arrow negative 81 equals negative 3 to the power of n
rightwards double arrow 3 to the power of 4 equals 3 to the power of n
rightwards double arrow n space equals space 4

S o comma space f left parenthesis x right parenthesis equals negative x to the power of 4 plus 1 space a n d space f open parentheses 1 over x close parentheses equals fraction numerator negative 1 over denominator x to the power of 4 end fraction plus 1

f left parenthesis x right parenthesis space plus space f open parentheses 1 over x close parentheses space
equals space minus x to the power of 4 plus 1 minus open square brackets fraction numerator negative 1 over denominator x to the power of 4 end fraction plus 1 close square brackets
equals negative x to the power of 4 plus 1 plus 1 over x to the power of 4 minus 1
equals 1 over x to the power of 4 minus x to the power of 4

If f left parenthesis x right parenthesis is a polynomial function such that f space left parenthesis x right parenthesis f space open parentheses 1 over x close parentheses equals f left parenthesis x right parenthesis plus f space open parentheses 1 over x close parentheses text  and  end text f space left parenthesis 3 right parenthesis equals negative 80 text  then  end text f left parenthesis x right parenthesis minus f space open parentheses 1 over x close parentheses equals

Maths-General
G i v e n comma space
space space space space space space space space space f open parentheses x close parentheses f open parentheses 1 over x close parentheses equals f open parentheses x close parentheses plus f open parentheses 1 over x close parentheses
rightwards double arrow f open parentheses x close parentheses f open parentheses 1 over x close parentheses minus f open parentheses 1 over x close parentheses equals f open parentheses x close parentheses
rightwards double arrow f open parentheses 1 over x close parentheses open square brackets f open parentheses x close parentheses minus 1 close square brackets equals f open parentheses x close parentheses space space _ _ _ _ _ _ _ _ _ _ left parenthesis i right parenthesis

G i v e n comma space
space space space space space space space space space space f open parentheses x close parentheses f open parentheses 1 over x close parentheses equals f open parentheses x close parentheses plus f open parentheses 1 over x close parentheses
rightwards double arrow f open parentheses x close parentheses f open parentheses 1 over x close parentheses minus f open parentheses x close parentheses space equals f open parentheses 1 over x close parentheses
rightwards double arrow f open parentheses x close parentheses open square brackets f open parentheses 1 over x close parentheses minus 1 close square brackets equals f open parentheses 1 over x close parentheses space _ _ _ _ _ _ _ _ _ _ left parenthesis i i right parenthesis

M u l t i p l y i n g space e q u a t i o n space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t colon
f open parentheses 1 over x close parentheses open square brackets f open parentheses x close parentheses minus 1 close square brackets. space f open parentheses x close parentheses open square brackets f open parentheses 1 over x close parentheses minus 1 close square brackets equals f open parentheses x close parentheses f open parentheses 1 over x close parentheses
rightwards double arrow open square brackets f open parentheses x close parentheses minus 1 close square brackets. open square brackets f open parentheses 1 over x close parentheses minus 1 close square brackets equals 1 space space _ _ _ _ _ _ _ _ left parenthesis i i i right parenthesis

N o w comma space l e t space g left parenthesis x right parenthesis space equals space f open parentheses x close parentheses minus 1 space a n d space g open parentheses 1 over x close parentheses equals space f open parentheses 1 over x close parentheses minus 1
S o comma space e q u a t i o n space left parenthesis i i i right parenthesis space i s comma space
rightwards double arrow g left parenthesis x right parenthesis. g open parentheses 1 over x close parentheses equals 1
T h u s comma space g left parenthesis x right parenthesis equals plus-or-minus x to the power of n space end exponent space space a n d space space g open parentheses 1 over x close parentheses equals plus-or-minus 1 over x to the power of n
S o comma space f left parenthesis x right parenthesis equals plus-or-minus x to the power of n plus 1 space a n d space f open parentheses 1 over x close parentheses equals plus-or-minus 1 over x to the power of n plus 1

f left parenthesis 3 right parenthesis equals plus-or-minus 3 to the power of n plus 1
rightwards double arrow negative 80 equals plus-or-minus 3 to the power of n plus 1
rightwards double arrow negative 81 equals plus-or-minus 3 to the power of n
rightwards double arrow negative 81 equals negative 3 to the power of n
rightwards double arrow 3 to the power of 4 equals 3 to the power of n
rightwards double arrow n space equals space 4

S o comma space f left parenthesis x right parenthesis equals negative x to the power of 4 plus 1 space a n d space f open parentheses 1 over x close parentheses equals fraction numerator negative 1 over denominator x to the power of 4 end fraction plus 1

f left parenthesis x right parenthesis space plus space f open parentheses 1 over x close parentheses space
equals space minus x to the power of 4 plus 1 minus open square brackets fraction numerator negative 1 over denominator x to the power of 4 end fraction plus 1 close square brackets
equals negative x to the power of 4 plus 1 plus 1 over x to the power of 4 minus 1
equals 1 over x to the power of 4 minus x to the power of 4
General
physics

A body of mass. 5 kg starts motion form the origin with an initial velocity Error converting from MathML to accessible text. If a constant force Error converting from MathML to accessible text. acts an the body, than the time in which the Y-component of the velocity becomes zero is……

A body of mass. 5 kg starts motion form the origin with an initial velocity Error converting from MathML to accessible text. If a constant force Error converting from MathML to accessible text. acts an the body, than the time in which the Y-component of the velocity becomes zero is……

physicsGeneral
General
physics-

An L -shaped tube with a small office is held in a water stream as shown in fig. The upper end of the tube is? 10.6cm above the surface of water. What will be the. height of the set of water coming from the office velocity of water stream is 2.45 m/s2

   

An L -shaped tube with a small office is held in a water stream as shown in fig. The upper end of the tube is? 10.6cm above the surface of water. What will be the. height of the set of water coming from the office velocity of water stream is 2.45 m/s2

physics-General
   
General
Maths-

f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left left columnspacing 1em end attributes row cell left square bracket x right square bracket      text  if  end text minus 3 less than x less or equal than negative 1 end cell row cell vertical line x vertical line      text  if  end text minus 1 less than x less than 1 end cell row cell vertical line left square bracket negative x right square bracket vertical line      text  if  end text 1 less or equal than x less or equal than 3 end cell end table text  then  end text left curly bracket x colon f left parenthesis x right parenthesis greater or equal than 0 right curly bracket equals close

For, f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left left columnspacing 1em end attributes row cell left square bracket x right square bracket      text  if  end text minus 3 less than x less or equal than negative 1 end cell row cell vertical line x vertical line      text  if  end text minus 1 less than x less than 1 end cell row cell vertical line left square bracket negative x right square bracket vertical line      text  if  end text 1 less or equal than x less or equal than 3 end cell end table close, we have to find x when f(x) will be greater than or equals to 0.
As per the given function,
f(x) will be negative whennegative 3 less than x less or equal than negative 1
f(x) will be positive or 0 when negative 1 less than x less than 1  (as f(x)= open vertical bar x close vertical bar)
f(x) will be positive when 1 less or equal than x less or equal than 3    (as f(x)= open vertical bar open square brackets negative x close square brackets close vertical bar)
So, for f left parenthesis x right parenthesis greater or equal than 0 comma space x equalsleft parenthesis negative 1 comma 3 right square bracket

f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left left columnspacing 1em end attributes row cell left square bracket x right square bracket      text  if  end text minus 3 less than x less or equal than negative 1 end cell row cell vertical line x vertical line      text  if  end text minus 1 less than x less than 1 end cell row cell vertical line left square bracket negative x right square bracket vertical line      text  if  end text 1 less or equal than x less or equal than 3 end cell end table text  then  end text left curly bracket x colon f left parenthesis x right parenthesis greater or equal than 0 right curly bracket equals close

Maths-General
For, f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left left columnspacing 1em end attributes row cell left square bracket x right square bracket      text  if  end text minus 3 less than x less or equal than negative 1 end cell row cell vertical line x vertical line      text  if  end text minus 1 less than x less than 1 end cell row cell vertical line left square bracket negative x right square bracket vertical line      text  if  end text 1 less or equal than x less or equal than 3 end cell end table close, we have to find x when f(x) will be greater than or equals to 0.
As per the given function,
f(x) will be negative whennegative 3 less than x less or equal than negative 1
f(x) will be positive or 0 when negative 1 less than x less than 1  (as f(x)= open vertical bar x close vertical bar)
f(x) will be positive when 1 less or equal than x less or equal than 3    (as f(x)= open vertical bar open square brackets negative x close square brackets close vertical bar)
So, for f left parenthesis x right parenthesis greater or equal than 0 comma space x equalsleft parenthesis negative 1 comma 3 right square bracket
General
physics

Same forces act an two bodies of different mass 2 kg and 5 kg initially at rest. The ratio of times. required to acquire same final velocity is…..

Same forces act an two bodies of different mass 2 kg and 5 kg initially at rest. The ratio of times. required to acquire same final velocity is…..

physicsGeneral
General
physics

An object of mass 3 kg is moving with a velocity of 5 m/s along a stright path. If a force of 12 N is applied for 3 sec on the object in a perpendicular to its direction of motion. The magnitude of velocity of the particle at the end of 3 sec is……..m/s.

An object of mass 3 kg is moving with a velocity of 5 m/s along a stright path. If a force of 12 N is applied for 3 sec on the object in a perpendicular to its direction of motion. The magnitude of velocity of the particle at the end of 3 sec is……..m/s.

physicsGeneral