As given the formula of range is

now for the maximum range


now for half of this maximum range we will have


now from above we have

so two possible values for above is given as

so above two angle we will have half of maximum range
Answer:
a) 
b) 
c) Generally the most probable speed is 8m/s as it the most posses by particles being the average
Explanation:
From the question we are told that:
Sample size N=15

Generally the equation for Average speed is mathematically given by

Therefore


b)
Generally the equation for RMS speed of the particle is mathematically given by




c
Generally the most probable speed is 8m/s as it the most posses by particles being the average
The answer is D. The input force is equal to the output force.
I just did test and got it right
The system of two rods will lie on the table as show in the figure
The center of first rod will lie exactly at the edge of first rod and then the center of mass of two combined rods will lie at the edge of the table.
So now the whole system will rest on the rod and it will not tipping off.
Since both rods are identical so we can say that the system will have its center of mass at the mid point on the line joining the two centers
So the value of x will be at mid point of line joining the two points on rod

So total length over the edge will be given as
