1. Two blocks are free to slide along the frictionless wooden track shown below. The block of mass m1 = 5.03 kg is released from the position shown, at height h = 5.00 m above the flat part of the track. Protruding from its front end is the north pole of a strong magnet, which repels the north pole of an identical magnet embedded in the back end of the block of mass m2 = 9.00 kg, initially at rest. The two blocks never touch. Calculate the maximum height to which m1 rises after the collision.
2. A student performs a ballistic pendulum experiment using an apparatus similar to that shown in the first figure. She obtains the following average data: h = 8.70 cm, projectile mass m1 = 67.2 g, and pendulum mass m2 = 263 g.
(a) Determine the initial speed v1A of the projectile.
(b) The second part of her experiment is to obtain v1A by firing the same projectile horizontally (with the pendulum removed from the path) and measuring its horizontal position x and distance of fall y, as shown in the second figure. What numerical value does she obtain for v1A on the basis of her measured values of x = 272 cm and y = 92.5 cm?
(c) What factors might account for the difference in this value compared to that obtained in part (a)?