Max Compression of Spring with Friction: Solve Now!

AI Thread Summary
The problem involves a 1 kg puck sliding at 20 m/s that compresses a spring with a constant of 35 N/m while experiencing a frictional force of 4.0 N. To find the maximum compression of the spring, the initial kinetic energy of the puck is equated to the energy stored in the spring and the work done against friction. The equation used is 0.5mv^2 = 0.5kd^2 + Fd, leading to a quadratic equation. The calculated maximum compression of the spring is approximately 3.3 meters. This solution effectively incorporates the effects of friction on the system's energy balance.
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A 1 kg puck slides at 20m/s along ice, then hits and compresses a spring with a constant of 35N/M. When it first hits the spring, the puck experiences a frictional force of 4.0 N opposing its motion. What is the maximum compression of the spring?



Homework Equations

KE=1/2mv^2



The Attempt at a Solution

I can do these problems without the friction element but am unsure about how friction affects the outcome. Any help would be appreciated.
 
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Initial KE = energy of spring + work done against friction
 
Thanks for your help Delphi51. Is this how I would solve the problem?

.5mv*2=.5kd*2+Fd
.5(1)(20)*2=.5(35)d*2+(4)d
200=17.5d*2+4d
0=17.5d*2+4d- 200
d= 3.3m (quadratic formula)

Thanks again.
 

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