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Question 1:

A 42.0 kg body is moving in the direction of the positive x-axis with a speed of 266 m/s when, owing to an internal explosion, it breaks into three pieces. One part, whose mass is 7.50 kg, moves away from the point of explosion with a speed of 493 m/s along the positive y-axis. A second fragment, whose mass is 5.00kg, moves away from the point of explosion with a speed of 385 m/s along the negative x- axis.

a. What is the speed of the third fragment in m/s? Ignore effects due to gravity.

b. How much energy was released in the explosion? Give your answer in megajoules (MJ).

Question 2:

A bullet of mass m1=8.30 g is fired into a m2=2.49 kg block that is initially at rest at the edge of a frictionless table of height h=1.18 m

The bullet remains in the block, and after impact the block lands d=2.50 m from the bottom of the table.

  • Calculate the initial speed of the bullet in m/s.
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