A cannon is rigidly attached to a carriage, which can move alonghorizontal rails, but is connected to a post by a large spring,initially unstretched and with force constant k = 1.70 104 N/m, asin Figure P6.61. The cannon fires a 200 kg projectile at a velocityof 115 m/s directed 45.0° above the horizontal.
Figure P6.61
(a) If the mass of the cannon and its carriage is 5000 kg, find therecoil speed of the cannon.
Your response differs from the correct answer by more than 10%.Double check your calculations. m/s
(b) Determine the maximum extension of the spring.
m
(c) Find the maximum force the spring exerts on the carriage.
N
(d) Consider the system consisting of the cannon, the carriage, andthe shell. Is the momentum of this system conserved during thefiring?
yes
no
Why or why not?
A cannon is rigidly attached to a carriage, which can move alonghorizontal rails, but is connected to a post by a large spring,initially unstretched and with force constant k = 1.70 104 N/m, asin Figure P6.61. The cannon fires a 200 kg projectile at a velocityof 115 m/s directed 45.0° above the horizontal.
Figure P6.61
(a) If the mass of the cannon and its carriage is 5000 kg, find therecoil speed of the cannon.
Your response differs from the correct answer by more than 10%.Double check your calculations. m/s
(b) Determine the maximum extension of the spring.
m
(c) Find the maximum force the spring exerts on the carriage.
N
(d) Consider the system consisting of the cannon, the carriage, andthe shell. Is the momentum of this system conserved during thefiring?
yes
no
Why or why not?
