Q7 of 48 Page 38

Two inclined frictionless tracks, one gradual and the other steep meet at A form where two stones are allowed to slide down from rest, one on each track as shown in Fig. 6.1. Which of the following statement is correct?


Considering the ball in incline AB has mass ,acceleration


and the ball in incline AC has mass ,acceleration .


from the above fig.




As,



We know that ,




From above equation we see that t is inversely proportional to a.


∴


Now,


From law of conservation of energy, we get to see in the above


Fig. that


K.E. at B=K.E. at C =P.E. at A


∴ ….(1)


…. (2)



Option (c) is correct.

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A body is falling freely under the action of gravity alone in vacuum. Which of the following quantities remain constant during the fall?

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During inelastic collision between two bodies, which of the following quantities always remain conserved?

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The potential energy function for a particle executing linear SHM is given by V (x) = kx2where k is the force constant of the oscillator (Fig. 6.2). For k = 0.5N/m, the graph of V(x) versus x is shown in the figure. A particle of total energy E turns back when it reaches x = ±xm. If V and K indicate the P.E. and K.E., respectively of the particle at x = +xm, then which of the following is correct?


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Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed V as shown in Fig. 6.3.


If the collision is elastic, which of the following (Fig. 6.4) is a possible result after collision?