Posted by **amanda and leah** on Sunday, January 29, 2012 at 9:48pm.

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, of force constant 60000 N/m. The cannon ﬁres a 305 kg projectile at a velocity of 174 m/s directed 38.9◦ above the horizontal.If the mass of the cannon and its carriage is 5537.7 kg, ﬁnd the recoil velocity of the cannon. Answer in units of m/s

PartB

Determine the maximum extension of the

spring. Answer in units of m

PartC

Find the maximum force the spring exerts on the carriage. Answer in units of N

- Physics -
**drwls**, Sunday, January 29, 2012 at 9:53pm
A. Apply conservation of momentum in the horizontal direction.

B. Apply conservation of energy during comopression

(1/2)kXmax^2 = (1/2)MV^2

V is the velocity from part a.

Solve for Xmax

c) Fmax = k Xmax

- Physics -
**amanda and leah**, Sunday, January 29, 2012 at 10:04pm
Can you help me set up the conservation of momentum in the X direction please? once I figure that out i'm sure I can get it but I can't quite figure that out

- Physics -
**drwls**, Monday, January 30, 2012 at 1:17am
The total horizontal momentum of cannon and projectile remains 0

Mp*Vpcos38.9 + Mc*Vrecoil = 0

Mc = cannon mass

Vrecoil = recoil velocity

Vp = projectile mass

Solve for Vrecoil'

V recoil = -(Mp/Mc)*174*cos38.9 m/s

The minus sign means that it recoils backwards, compared to the direction of firing. .

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