Posted by Joe on Sunday, September 19, 2010 at 12:44pm.
Block A of mass 4.0 kg is on a horizontal, frictionless tabletop and is placed against a spring of negligible mass
and spring constant 650 N m. The other end of the spring is attached to a wall. The block is pushed toward the
wall until the spring has been compressed a distance x, as shown above. The block is released and follows the
trajectory shown, falling 0.80 m vertically and striking a target on the floor that is a horizontal distance of 1.2 m
from the edge of the table. Air resistance is negligible.
(a) Calculate the time elapsed from the instant block A leaves the table to the instant it strikes the floor.
(b) Calculate the speed of the block as it leaves the table.
(c) Calculate the distance x the spring was compressed.
Block B, also of mass 4.0 kg, is now placed at the edge of the table. The spring is again compressed a distance x,
and block A is released. As it nears the end of the table, it instantaneously collides with and sticks to block B.
The blocks follow the trajectory shown in the figure below and strike the floor at a horizontal distance d from the
edge of the table.
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