A spring with constant k=200 N/m is fixed to the top of an incline that makes an angle of 40.0 degrees with the horizontal. A projectile with mass 1.10 kg is projected up the plane, form an initial horizontal position that is d from the end of the uncompessed spring. a) If the incline is frictionless and the initial kinetic energy of the projectile is 17.0 J, how much will the spring be compressed? b) If there is a coefficient of friction of 0.200 and the spring must compress by 1.50 cm at the moment when the projectile stops (say, to trigger an event like a switch) then what must the initial speed of the projectile be? All other conditions are same as in the setup.

A spring with constant k=200 N/m is fixed to the top of an incline that makes an angle of 40.0 degrees with the horizontal. A projectile with mass 1.10 kg is projected up the plane, form an initial horizontal position that is d from the end of the uncompessed spring.

a) If the incline is frictionless and the initial kinetic energy of the projectile is 17.0 J, how much will the spring be compressed?

b) If there is a coefficient of friction of 0.200 and the spring must compress by 1.50 cm at the moment when the projectile stops (say, to trigger an event like a switch) then what must the initial speed of the projectile be? All other conditions are same as in the setup.