Answer:
The speed of the cart and clay after the collision is 50 cm/s .
Explanation:
Given :
Mass of lump , m = 500 g = 0.5 kg .
Velocity of lump , v = 30 cm/s .
Mass of cart , M = 1 kg .
Velocity of cart , V = 60 cm/s .
We know by conservation of momentum :

Here ,
is the speed of the cart and clay after the collision .
Putting all value in above equation .
We get :

Hence , this is the required solution .
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'C' is a simple explanation of astigmatism.
Answer:
Fundamental frequency in the string will be 25 Hz
Explanation:
We have given length of the string L = 1.2 m
Speed of the wave on the string v = 60 m/sec
We have to find the fundamental frequency
Fundamental frequency in the string is equal to
, here v is velocity on the string and L is the length of the string
So frequency will be equal to 
So fundamental frequency will be 25 Hz
The electric force (and the gravitational force too) is inversely proportional
to the square of the distance between the objects involved.
In this question, the distance is increased by a factor of (1.25/0.95) .
So the electric force will change by the factor of (0.95/1.25)² .
The new force is
(1.32 N) · (0.95/1.25)² = 0.762... newton (rounded)