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The ballistic pendulum is a device used to measure the speed of a projectile, su

ID: 2253283 • Letter: T

Question

The ballistic pendulum is a device used to measure the speed of a projectile, such as a bullet. The projectile, of mass 5g, is fired into a large block (of wood or other material) of mass 1kg, which is suspended like a pendulum. As a result of the collision, the pendulum and projectile together swing up to a maximum height of 20cm, Figure below.
a) calculate the speed immediately after collision.
b) calculate the speed of the bullet before collision The ballistic pendulum is a device used to measure the speed of a projectile, such as a bullet. The projectile, of mass 5g, is fired into a large block (of wood or other material) of mass 1kg, which is suspended like a pendulum. As a result of the collision, the pendulum and projectile together swing up to a maximum height of 20cm, Figure below.
a) calculate the speed immediately after collision.
b) calculate the speed of the bullet before collision The ballistic pendulum is a device used to measure the speed of a projectile, such as a bullet. The projectile, of mass 5g, is fired into a large block (of wood or other material) of mass 1kg, which is suspended like a pendulum. As a result of the collision, the pendulum and projectile together swing up to a maximum height of 20cm, Figure below.
a) calculate the speed immediately after collision.
b) calculate the speed of the bullet before collision The ballistic pendulum is a device used to measure the speed of a projectile, such as a bullet. The projectile, of mass 5g, is fired into a large block (of wood or other material) of mass 1kg, which is suspended like a pendulum. As a result of the collision, the pendulum and projectile together swing up to a maximum height of 20cm, Figure below.
a) calculate the speed immediately after collision.
b) calculate the speed of the bullet before collision

Explanation / Answer

Energy conservation: 1/2*mv^2 = (m+M)gh


1/2*0.005*v^2 = (0.005 + 1)*9.81*0.2


v = 28.08 m/s


Momentum conservation: m*v = (m+M)*v'

0.005*28.08 = (0.005 + 1)*v'


v' = 0.14 m/s

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