Spring and ring puzzle #shorts

Two ring of mass m and 2m are connected with a light spring and can slide over two frictionless parallel horizontal rails as shown in figure. Ring of mass m is given velocity 'v_(0)' in horizontal direction as shown. Calculate the maximum stretch in spring during subsequent motion.

Find velocity of ring when spring becomes horizontal

A ring of mass m=10kg can slide through a vertical rod with friction. It is connected with a spring of force constant k=100Nm^-1 . The relaxed length of spring is 4m . The ring is displaced 3m as shown in the figure and released. Find velocity of ring when spring becomes horizontal.

Determine the missing value in the puzzle below :

Spring force and cutting OF springs

If a spring extends by x on loading, then the energy stored by the spring is (if T is tension in the spring and K is spring constant)

If a spring extends by x on loading, then the energy stored by the spring is (if T is tension in the spring and k is spring constant)

If a spring extends by x on loading, then then energy stored by the spring is (if T is tension in the spring and k is spring constant)

3 students {A, B, C} tackle a puzzle together and offers a solution upon which majority of the 3agrees. Probability of A solving the puzzle correctly is p. Probability of B solving the puzzle correctlyis also p. Cisa dumb student who randomly supports the solution of either A or B. There is one morestudent D, whose probability of solving the puzzle correctly is once again, p. Out of the 3 memberteam {A, B, C} and one member team {D}, which one is more likely to solve the puzzle correctly.