Find the maximum force the spring exerts on the carriage

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Reference no: EM13492518

A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 1.94 104 N/m, as in the figure below. The cannon fires a 200-kg projectile at a velocity of 112 m/s directed 45.0° above the horizontal.

(a) If the mass of the cannon and its carriage is 5,000 kg, find the recoil speed of the cannon.

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, and the shell. Is the momentum of this system conserved during the firing?

Yes

No

Reference no: EM13492518

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