In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B. At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii), no sound is made when block A hits the spring, answer the following questions. What will be the the velocity of block A?

If there are 3.281 feet in 1 meter, how many inches are in one centimeter

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?