NEET Questions Solved


If the net external forces acting on the system of particles is zero, then which of the following may vary? (a) Momentum of the system (b) Velocity of centre of mass (c) Position of centre of mass (d) None of the above

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A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C AIEEE 2005] 4 3 (a) l (b) I 2 3 21

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PMT - 2009

Two bodies of mass 1 kg and 3 kg have position vectors i+2j+k and -3i-2j+k, respectively. The centre of mass of this system has a position vector [CBSE PMT 2009] (a) -21+2ik (c) 2i--k (b) -2i-j+K (d) -i+j+k

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In a free space, a rifle of mass M shoots a bullet of mass m at a stationary block of mass M distance D away from it. Whern the bullet has moved through a distance d towards the block, the centre of mass of the bullet-block system is at a distance of (D -d) m M m from the bullet b md + MD from the block M+ m 2md MD M m (D - d) M M m from the block (d) from the bullet

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Blocks A and B are resting on a smooth horizontal surface given equal speeds of 2 m/s in opposite sense as shown in the figure. 2m/s 4k0 origin 2m/s 4kg (4.5m, 0) At t=0, the position of blocks are shown, then the co-ordinates of Centre of mass t 3 s will be

xcm=m1x1+m2x2m1+m2=4×0+4×4.58=2.25vcm=m1v1+m2v2m1+m2=4×2+4×(-2)8=0m/sVelcity of centre of  mass is zero. It will remain at same point.

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PMT - 2004

Consider a system of two particles having masses m and m2· If the particle of mass m, is pushed towards the cente of mass of particles through a distance d, by what distance would be particle of mass m2 move so as to keep the centre of mass of particles at the original position [CBSE PMT 2004; AIEEE 2006] (a) md (b) mid m +m2 m2 (c) d (d) m2d mi

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Consider a system of two identical particles. One of the particles is at rest and the other has an acceleration a. The centre of mass has an acceleration (a) zero (b) a (c) a (d) 2 a

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PMT - 2002

A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 sec his displacement relative to the ground will be CPMT 2002] (a) 5 m (c) 3.2 m (b) 4.8 m (d) 3.0 m

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f the linear density of a rod of length 3m of mass of the rod is at a distance of (A) m centre 10 (B) m 7. 12 (C) 7 m (D) 7 m

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Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls while in air (a) depends on the direction of the motion of the balls (b) depends on the masses of the two balls (c) depends on the speeds of two balls (d) is equal to g

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