A11.0 g rifle bullet is fired with a speed of 380 m/s into a ballistic pendulum with mass 10.0 kg, suspended from a cord 70.0 cm long.
a) compute the vertical height through which the pendulum rises.(cm)
b) compute the initial kinetic energy of the bullet; (j)
c) compute the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum.(j)

a) h = 0.0088 m

b) Kb = 794.2J

c) Kt = 0.88J

Explanation:

By conservation of the linear momentum:

By conservation of energy from the instant after the bullet is embedded until their maximum height:

h=0.0088m

The kinetic energy of the bullet is:

The kinetic energy of the pendulum+bullet:

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the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas