Motion in a Plane
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Motion in a Plane
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25 Questions

1. Abus is moving on a straight road towards northwith a uniform speed of 50 km/hour turns through 90°.If the speed remains unchanged after turning - theincrease in the velocity of bus in the turning process is[1989]
2. Two projectiles are fired from the same point withthe same speed at angles of projection 60° and 30°respectivelyWhich one of the following is true? [2000]
3. If a body Aof mass Mis thrown with velocity v at anangle of 30° to the horizontal and another body Bof thesame mass is thrown with the same speed at an angle of60° to the horizontal - the ratio of horizontal range of AtoBwill be [1992]
4. A body is whirled in a horizontal circle of radius 20cmIt has an angular velocity of 10 rad/sWhat is itslinear velocity at any point on circular path [1996]
5. Aball whose kinetic energy is E - is thrown at anangle of 45° with the horizontalIts kinetic energy at thehighest point of its flight will be [1997]
6. Acar runs at a constant speed on a circular track ofradius 100 m - taking 62.8 seconds in every circular loop.The average velocity and average speed for each circularloop respectively - is [2006]
7. A particle of mass m is projected with velocity vmaking an angle of 45° with the horizontalWhen theparticle lands on the level ground the magnitude of thechange in its momentum will be: [2008]
8. Aboat is sent across a river with a velocity of 8 kmh-“1If the resultant velocity of boat is 10 km h -“1 - then thevelocity of the river is [1993]
9. An electric fan has blades of length 30 cm measuredfrom the axis of rotationIf the fan is rotating at 120rpm - the acceleration of a point on the tip of the blade is[1990]
10. The circular motion of a particle with constantspeed is [2005]
11. Which of the following is not a vector quantity?1995
12. A stone tied to the end of a string of 1 m long iswhirled in a horizontal circle with a constant speedIfthe stone makes 22 revolutions in 44 seconds - what isthe magnitude and direction of acceleration of thestone? [2005]
13. A particle moves in a circle of radius 5 cm withconstant speed and time period 0.2 πsThe accelerationof the particle is [2011]
14. A ball of mass 0.25 kg attached to the end of a stringof length 1.96 m is moving in a horizontal circleThestring will break if the tension is more than 25 NWhatis the maximum speed with which the ball can bemoved? [1998]
15. A body of mass 0.4 kg is whirled in a vertical circlemaking 2 rev/secIf the radius of the circle is 1.2 m - thentension in the string when the body is at the top of thecircle - is [1999]
16. A particle moves along a circle of radius (20/Ï€)mwith constant tangential accelerationIf the velocity ofthe particle is 80 m/s at the end of the second revolutionafter motion has begun - the tangential acceleration is[2003]
17. A particle starting from the origin (0 - 0) moves in astraight line in the (x - y) planeIts coordinates at a latertime are (√3 - 3)The path of the particle makes with thex-axis an angle of [2007
18. For angles of projection of a projectile (45° -“ θ)and (45° + θ) - the horizontal ranges described by theprojectile are in the ratio of [2006]
19. Aperson swims in a river aiming to reach exactlyopposite point on the bank of a riverHis speed ofswimming is 0.5 m/s at an angle 120° with the directionof flow of waterThe speed of water in stream is [1999]
20. Aboat which has a speed of 5 km/hr in still watercrosses a river of width 1 km along the shortest possiblepath in 15 minutesThe velocity of the river water inkm/hr is [1998 - 2000]
21. Abullet is fired from a gun with a speed of 1000m/s in order to hit a target 100 m awayAt what heightabove the target should the gun be aimed? (Theresistance of air is negligible and g = 10 m/s 2) [1995]
22. Astone tied with a string - is rotated in a verticalcircleThe minimum speed with which the string has tobe rotated [1999]
23. A500 kg car takes a round turn of radius 50 m witha velocity of 36 km/hThe centripetal force is [1999]
24. The vector sum of two forces is perpendicular totheir vector differencesIn that case - the forces [2003][2005]
25. Two particles of mass Mand m are moving in acircle of radii Rand rIf their time-periods are same - what will be the ratio of their linear velocities? [2001]

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