KinematicsHard

Question

A cart of mass 0.5 kg is placed on a smooth surface and is connected by a string to a block of mass 0.2 kg. At the initial moment the cart moves to the left along a horizontal plane at a speed of 7 m/s. (Use g = 9.8 m/s2)
Which of the following statement is incorrect :-
    

Options

A.The acceleration of the cart is towards right
B.The cart comes to momentary rest after 2.5s
C.The distance travelled by the cart in the first 5 s is 17.5 m
D.The velocity of the cart after 5s will be same as initial velocity

Solution

For (1) acceleration of system

= 2.8 m/s2
For (2) by using v = u +at we have
0 = -7 + (2.8)t ⇒ t = 2.5 s
For (3) distance travelled in first 5s
= 2 × [(-7 (2.5) + (2.8) (2.5)2] = 17.5 m

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