Question

A 5.00-kg box is suspended from the ceiling by a cord that is 50.0 cm long. A 10.0-g bullet was fired horizontally with speed at 350 m/s into the box. By how much will the vertical height of the pendulum change?
Clue:
To get the speed of bullet and box after collision, use conservation of momentum equation (initial momentum= final momentum)
To get the height, use the conservation of energy equation ( Initial KE + Initial PE = Final KE + Final PE)
Select one:
a. 4.21 cm
b. 4.97 cm
c. 3.12 cm
d. 2.48 cm
e. 2.56 cm

Answer 1

So, do what they say to do:

.010 * 350 = 5.010 * v


mgh = 5.010 * 9.81 * h = (1/2)(5.010) v^2

multiply h in meters by 100 to get cm :)