As seen below, a ballistic pendulum can be used to determine incoming projectile speeds by measuring the max angle θ a penetrable box of sand rises after the projectile is embedded in it. As seen below, the projectile has a weight of 2 oz and an incoming speed v = 2000 ft/s. The box of sand weighs 50 lbs. a) Determine the speed of the box of sand right after the projectile is embedded. b) Find the energy lost during the impact of the projectile and the box of sand. c) Determine the max angle to which the box rises after impact.
As seen below, a ballistic pendulum can be used to determine incoming projectile speeds by measuring the max angle θ a penetrable box of sand rises after the projectile is embedded in it. As seen below, the projectile has a weight of 2 oz and an incoming speed v = 2000 ft/s. The box of sand weighs 50 lbs.
a) Determine the speed of the box of sand right after the projectile is embedded.
b) Find the energy lost during the impact of the projectile and the box of sand.
c) Determine the max angle to which the box rises after impact.
Given,
weight of the particle,
weight of the box,
the initial velocity of the particle is,
string length h = 6(ft)
a)
Since when particles collide with the box then they stick together at that time. Then from momentum conservation,
or,
Then final velocity will be
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