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A miniature spring-loaded, radio-controlled gun is mounted on an air puck. The gun's bullet has a mass of 7.00 g, and the gun and puck have a combined mass of 150 g. With the system initially at rest, the radio controlled trigger releases the bullet causing the puck and empty gun to move with a speed of 0.530 m/s. What is the bullet's speed?

Respuesta :

Answer:

Explanation:

Given

mass of bullet [tex]m=7 gm[/tex]

mass of gun and Puck [tex]M=150 gm[/tex]

speed of gun and Puck is [tex]v=0.53 m/s[/tex]

Let speed of bullet be u

conserving Momentum

initial momentum=Final Momentum

[tex]0=Mv+mu[/tex]

[tex]u=-\frac{M}{m}v[/tex]

[tex]u=-\frac{150}{7}\times 0.53=-11.35 m/s[/tex]          

negative sign indicates that bullet is moving in opposite direction        

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