
question_answer1) Which one of the following statements is correct
A) Rolling friction is greater than sliding friction done
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B) Rolling friction is less than sliding friction done
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C) Rolling friction is equal to sliding friction done
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D) Rolling friction and sliding friction are same done
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question_answer2) The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius R and coefficient of static friction \[\mu \], is [NCERT 1990]
A) \[\mu Rg\] done
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B) \[Rg\sqrt{\mu }\] done
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C) \[\mu \sqrt{Rg}\] done
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D) \[\sqrt{\mu Rg}\] done
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question_answer3) A car is moving along a straight horizontal road with a speed \[{{v}_{0}}\]. If the coefficient of friction between the tyres and the road is \[\mu \], the shortest distance in which the car can be stopped is [MP PET 1985; BHU 2002]
A) \[\frac{v_{0}^{2}}{2\mu g}\] done
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B) \[\frac{{{v}_{0}}}{\mu g}\] done
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C) \[{{\left( \frac{{{v}_{0}}}{\mu g} \right)}^{2}}\] done
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D) \[\frac{{{v}_{0}}}{\mu }\] done
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question_answer4) A block of mass 5 kg is on a rough horizontal surface and is at rest. Now a force of 24 N is imparted to it with negligible impulse. If the coefficient of kinetic friction is 0.4 and \[g=9.8\,m/{{s}^{2}}\], then the acceleration of the block is
A) \[0.26\,m/{{s}^{2}}\] done
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B) \[0.39\,m/{{s}^{2}}\] done
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C) \[0.69\,m/{{s}^{2}}\] done
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D) \[0.88\,m/{{s}^{2}}\] done
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question_answer5) A body of mass 2 kg is being dragged with uniform velocity of 2 m/s on a rough horizontal plane. The coefficient of friction between the body and the surface is 0.20. The amount of heat generated in 5 sec is \[(J=4.2\,joule/cal\] and \[g=9.8\,m/{{s}^{2}})\] [MH CET (Med.) 2001]
A) 9.33 cal done
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B) 10.21 cal done
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C) 12.67 cal done
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D) 13.34 cal done
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question_answer6) Two carts of masses 200 kg and 300 kg on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the 200 kg cart travels a distance of 36 m and stops, then the distance travelled by the cart weighing 300 kg is [CPMT 1989; DPMT 2002]
A) 32 m done
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B) 24 m done
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C) 16 m done
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D) 12 m done
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question_answer7) A body B lies on a smooth horizontal table and another body A is placed on B. The coefficient of friction between A and B is \[\mu \]. What acceleration given to B will cause slipping to occur between A and B
A) \[\mu g\] done
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B) \[g/\mu \] done
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C) \[\mu /g\] done
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D) \[\sqrt{\mu g}\] done
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question_answer8) A 60 kg body is pushed with just enough force to start it moving across a floor and the same force continues to act afterwards. The coefficient of static friction and sliding friction are 0.5 and 0.4 respectively. The acceleration of the body is
A) \[6\,m/{{s}^{2}}\] done
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B) \[4.9\,m/{{s}^{2}}\] done
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C) \[3.92\,m/{{s}^{2}}\] done
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D) \[1\,m/{{s}^{2}}\] done
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question_answer9) A car turns a corner on a slippery road at a constant speed of \[10\,m/s\]. If the coefficient of friction is 0.5, the minimum radius of the arc in meter in which the car turns is
A) 20 done
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B) 10 done
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C) 5 done
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D) 4 done
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question_answer10) A motorcyclist of mass m is to negotiate a curve of radius r with a speed v. The minimum value of the coefficient of friction so that this negotiation may take place safely, is [Haryana CEE 1996]
A) \[{{v}^{2}}rg\] done
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B) \[\frac{{{v}^{2}}}{gr}\] done
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C) \[\frac{gr}{{{v}^{2}}}\] done
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D) \[\frac{g}{{{v}^{2}}r}\] done
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question_answer11) On a rough horizontal surface, a body of mass 2 kg is given a velocity of 10 m/s. If the coefficient of friction is 0.2 and \[g=10\,m/{{s}^{2}}\], the body will stop after covering a distance of [MP PMT 1999]
A) 10 m done
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B) 25 m done
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C) 50 m done
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D) 250 m done
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question_answer12) A block of mass 50 kg can slide on a rough horizontal surface. The coefficient of friction between the block and the surface is 0.6. The least force of pull acting at an angle of 30? to the upward drawn vertical which causes the block to just slide is [ISM Dhanbad 1994]
A) 29.43 N done
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B) 219.6 N done
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C) 21.96 N done
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D) 294.3 N done
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question_answer13) A body of 10 kg is acted by a force of 129.4 N if \[g=9.8\,m/{{\sec }^{2}}\]. The acceleration of the block is \[10\,m/{{s}^{2}}\]. What is the coefficient of kinetic friction [EAMCET 1994]
A) 0.03 done
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B) 0.01 done
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C) 0.30 done
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D) 0.25 done
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question_answer14) Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum speed with which the car can move round a curve of 40.0 m radius without slipping, if the road is unbanked, should be [AMU 1995]
A) 25 m/s done
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B) 19 m/s done
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C) 14 m/s done
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D) 11 m/s done
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question_answer15) Consider a car moving along a straight horizontal road with a speed of 72 km/h. If the coefficient of kinetic friction between the tyres and the road is 0.5, the shortest distance in which the car can be stopped is \[[g=10\,m{{s}^{2}}]\] [CBSE PMT 1992]
A) 30 m done
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B) 40 m done
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C) 72 m done
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D) 20 m done
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question_answer16) A 500 kg horse pulls a cart of mass 1500 kg along a level road with an acceleration of \[1\,m{{s}^{2}}\]. If the coefficient of sliding friction is 0.2, then the force exerted by the horse in forward direction is [SCRA 1998]
A) 3000 N done
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B) 4000 N done
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C) 5000 N done
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D) 6000 N done
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question_answer17) The maximum speed of a car on a road turn of radius 30m; if the coefficient of friction between the tyres and the road is 0.4; will be [MH CET (Med.) 1999]
A) 9.84 m/s done
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B) 10.84 m/s done
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C) 7.84 m/s done
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D) 5.84 m/s done
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question_answer18) A block of mass 50 kg slides over a horizontal distance of 1 m. If the coefficient of friction between their surfaces is 0.2, then work done against friction is [BHU 2001; CBSE PMT 1999, 2000; AIIMS 2000]
A) 98 J done
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B) 72J done
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C) 56 J done
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D) 34 J done
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question_answer19) On the horizontal surface of a truck (m = 0.6), a block of mass 1 kg is placed. If the truck is accelerating at the rate of 5m/sec2 then frictional force on the block will be [CBSE PMT 2001]
A) 5 N done
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B) 6 N done
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C) 5.88 N done
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D) 8 N done
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question_answer20) A vehicle of mass m is moving on a rough horizontal road with momentum P. If the coefficient of friction between the tyres and the road be m, then the stopping distance is [CBSE PMT 2001]
A) \[\frac{P}{2\mu \,m\,g}\] done
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B) \[\frac{{{P}^{2}}}{2\mu \,m\,g}\] done
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C) \[\frac{P}{2\mu \,m{{\,}^{2}}g}\] done
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D) \[\frac{{{P}^{2}}}{2\mu \,m{{\,}^{2}}g}\] done
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question_answer21) A body of weight 64 N is pushed with just enough force to start it moving across a horizontal floor and the same force continues to act afterwards. If the coefficients of static and dynamic friction are 0.6 and 0.4 respectively, the acceleration of the body will be (Acceleration due to gravity = g) [EAMCET 2001]
A) \[\frac{g}{6.4}\] done
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B) 0.64 g done
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C) \[\frac{g}{32}\] done
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D) 0.2 g done
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question_answer22) When a body is moving on a surface, the force of friction is called [MP PET 2002]
A) Static friction done
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B) Dynamic friction done
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C) Limiting friction done
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D) Rolling friction done
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question_answer23) A block of mass 10 kg is placed on a rough horizontal surface having coefficient of friction m = 0.5. If a horizontal force of 100 N is acting on it, then acceleration of the block will be [AIIMS 2002]
A) \[0.5m/{{s}^{2}}\] done
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B) \[5m/{{s}^{2}}\] done
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C) \[10m/{{s}^{2}}\] done
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D) \[15m/{{s}^{2}}\] done
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question_answer24) It is easier to roll a barrel than pull it along the road. This statement is [BVP 2003]
A) False done
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B) True done
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C) Uncertain done
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D) Not possible done
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question_answer25) A marble block of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction in 10s. Then the coefficient of friction is [AIEEE 2003]
A) 0.01 done
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B) 0.02 done
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C) 0.03 done
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D) 0.06 done
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question_answer26) A horizontal force of 129.4 N is applied on a 10 kg block which rests on a horizontal surface. If the coefficient of friction is 0.3, the acceleration should be
A) \[9.8\,m/{{s}^{2}}\] done
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B) \[10\,m/{{s}^{2}}\] done
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C) \[12.6\,m/{{s}^{2}}\] done
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D) \[19.6\,m/{{s}^{2}}\] done
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question_answer27) A 60 kg weight is dragged on a horizontal surface by a rope upto 2 metres. If coefficient of friction is \[\mu =0.5\], the angle of rope with the surface is 60? and \[g=9.8\,m/{{\sec }^{2}}\], then work done is [MP PET 1995]
A) 294 joules done
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B) 315 joules done
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C) 588 joules done
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D) 197 joules done
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question_answer28) A car having a mass of 1000 kg is moving at a speed of 30 metres/sec. Brakes are applied to bring the car to rest. If the frictional force between the tyres and the road surface is 5000 newtons, the car will come to rest in [MP PMT 1995]
A) 5 seconds done
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B) 10 seconds done
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C) 12 seconds done
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D) 6 seconds done
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question_answer29) If \[{{\mu }_{s}},\,{{\mu }_{k}}\] and \[{{\mu }_{r}}\] are coefficients of static friction, sliding friction and rolling friction, then [EAMCET (Engg.) 1995]
A) \[{{\mu }_{s}}<{{\mu }_{k}}<{{\mu }_{r}}\] done
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B) \[{{\mu }_{k}}<{{\mu }_{r}}<{{\mu }_{s}}\] done
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C) \[{{\mu }_{r}}<{{\mu }_{k}}<{{\mu }_{s}}\] done
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D) \[{{\mu }_{r}}={{\mu }_{k}}={{\mu }_{s}}\] done
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question_answer30) A body of mass 5kg rests on a rough horizontal surface of coefficient of friction 0.2. The body is pulled through a distance of 10m by a horizontal force of 25 N. The kinetic energy acquired by it is (g = 10 ms2) [EAMCET (Med.) 2000]
A) 330 J done
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B) 150 J done
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C) 100 J done
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D) 50 J done
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question_answer31) A motorcycle is travelling on a curved track of radius 500m. If the coefficient of friction between road and tyres is 0.5, the speed avoiding skidding will be [MH CET (Med.) 2001]
A) 50 m/s done
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B) 75 m/s done
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C) 25 m/s done
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D) 35 m/s done
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question_answer32) A fireman of mass 60 kg slides down a pole. He is pressing the pole with a force of 600 N. The coefficient of friction between the hands and the pole is 0.5, with what acceleration will the fireman slide down (g = 10 m/s2) [Pb. PMT 2002]
A) 1 m/s2 done
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B) 2.5 m/s2 done
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C) 10 m/s2 done
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D) 5 m/s2 done
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question_answer33) A block of mass \[M=5\,kg\] is resting on a rough horizontal surface for which the coefficient of friction is 0.2. When a force \[F=40\,\,N\] is applied, the acceleration of the block will be \[(g=10\,\,m/{{s}^{2}})\] [MP PMT 2004]
A) \[5.73\,\,m/{{\sec }^{2}}\] done
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B) \[8.0\,\,m/{{\sec }^{2}}\] done
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C) \[3.17\,\,m/{{\sec }^{2}}\] done
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D) \[10.0\,\,m/{{\sec }^{2}}\] done
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question_answer34) A body is moving along a rough horizontal surface with an initial velocity \[6\,\,m/s.\] If the body comes to rest after travelling 9 m, then the coefficient of sliding friction will be [BCECE 2004]
A) 0.4 done
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B) 0.2 done
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C) 0.6 done
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D) 0.8 done
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question_answer35) Consider a car moving on a straight road with a speed of 100 m/s. The distance at which car can be stopped is \[[{{\mu }_{k}}=0.5]\] [AIEEE 2005]
A) 100 m done
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B) 400 m done
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C) 800 m done
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D) 1000 m done
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question_answer36) A cylinder of 10 kg is sliding in a plane with an initial velocity of 10 m/s. If the coefficient of friction between the surface and cylinder is 0.5 then before stopping, it will cover. \[(g=10\,\,m/{{s}^{2}})\] [Pb. PMT 2004]
A) 2.5 m done
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B) 5 m done
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C) 7.5 m done
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D) 10 m done
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