Laws of Motion
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Laws of Motion
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1. A block of mass m is placed on a smooth wedge ofinclination θThe whole system is acceleratedhorizontally so that the block does not slip on the wedge.The force exerted by the wedge on the block (g isacceleration due to gravity) will be [2004]
2. A600 kg rocket is set for a vertical firingIf theexhaust speed is 1000 ms-“1 - the mass of the gas ejectedper second to supply the thrust needed to overcome theweight of rocket is [1990]
3. Ablock has been placed on an inclined plane withthe slope angle θ - block slides down the plane atconstant speedThe coefficient of kinetic friction is equalto [1993]
4. A stone is dropped from a height hIt hits theground with a certain momentum PIf the same stone isdropped from a height 100% more than the previousheight - the momentum when it hits the ground willchange by: [2012M
5. A particle of mass Mis moving in a horizontal circleof radius Rwith uniform speed VWhen it moves fromone point to a diametrically opposite point - its [1992]
6. Two bodies of masses m and 4m are moving withequal kinetic energiesThe ratio of their linear momentawill be [1988]
7. A ball of mass 150 g - moving with an acceleration20 m/s2 - is hit by a force - which acts on it for 0.1 secTheimpulsive force is [1996]
8. The mass of a lift is 2000 kgWhen the tension inthe supporting cable is 28000 N - then its acceleration is:[2009]
9. Amass of 1 kg is suspended by a threadIt is(i) lifted up with an acceleration 4.9 m/s 2 - (ii) lowered with an acceleration 4.9 m/s 2.The ratio of the tensions is [1998]
10. Physical independence of force is a consequence of[1991]
11. A car of mass 1000 kg negotiates a banked curve ofradius 90 m on a frictionless roadIf the banking angle is45° - the speed of the car is: [2012]
12. A heavy uniform chain lies on horizontal table topIfthe coefficient of friction between the chain and thetable surface is 0.25 - then the maximum fraction of thelength of the chain that can hang over one edge of thetable is [1991]
13. A5000 kg rocket is set for vertical firingTheexhaust speed is 800 ms-“1To give an initial upwardacceleration of 20 ms-“2 - the amount of gas ejected persecond to supply the needed thrust will be (g = 10 ms -“2)[1998]
14. What will be the maximum speed of a car on a roadturn of radius 30 m if the coefficient of friction betweenthe tyres and the road is 0.4 (Take g = 9.8 m/s 2) [1995]
15. A man weighing 80 kg - stands on a weighing scalein a lift which is moving upwards with a uniformacceleration of 5m/s2What would be the reading on thescale? (g = 10 m/s2) [2003]
16. A10 Nforce is applied on a body produces anacceleration of 1 m/s2The mass of the body is [1996]
17. 3A body of mass 5 kg explodes at rest into threefragments with masses in the ratio 1: 1: 3The fragmentswith equal masses fly in mutually perpendiculardirections with speeds of 21 m/sThe velocity ofheaviest fragment in m/s will be [1989]
18. A person of mass 60 kg is inside a lift of mass 940kg and presses the button on control panelThe liftstarts moving upwards with an acceleration 1.0 m/s 2Ifg = 10 ms-“2 - the tension in the supporting cable is[2011]
19. Consider a car moving along a straight horizontalroad with a speed of 72 km/hIf the coefficient of staticfriction between the tyres and the road is 0.5 - theshortest distance in which the car can be stopped is(taking g = 10 m/s2) [1992
20. A conveyor belt is moving at a constant speed of2m/sA box is gently dropped on itThe coefficient offriction between them is µ = 0.5The distance that thebox will move relative to belt before coming to rest on ittaking g = 10 ms-“2 - is [2011M]
21. If a cricketer catches a ball of mass 150 gm movingwith a velocity of 20 m/s - then he experiences a force of(Time taken to complete the catch is 0.1 sec.) [2001]
22. Abullet is fired from a gunThe force on the bulletis given by F= 600 -“ 2 × 105t where - Fis in newton and tin secondThe force on the bullet becomes zero as soonas it leaves the barrelWhat is the average impulseimparted to the bullet? [1998]
23. A4 kg mass and 1 kg are moving with equal kineticenergiesThe ratio of the magnitudes of their linearmomenta is [1989]
24. Starting from rest - a body slides down a 45°inclined plane in twice the time it takes to slide downthe same distance in the absence of frictionThecoefficient of friction between the body and the inclinedplane is [1988]
25. Amonkey is decending from the branch of a treewith constant accelerationIf the breaking strength is75% of the weight of the monkey - the minimumacceleration with which monkey can slide down withoutbreaking the branch is [1993]

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