A spring with a spring constant of 100 N/m is compressed a distance of 0.50 m by while in contact with a 0.058 kg mass, as shown below. The spring is then released, propelling the mass along the surface of the ramp until the mass leaves the surface of the ramp moving at velocity $\vec{v}$, at which point the mass is in projectile motion until it hits the ground at point x, y. The coefficient of kinetic friction between the mass and the surface of the ramp is 0.3, the ramp makes an angle $\theta = 40^\circ$ with the horizontal and the height of the ramp is $h = 0.75$ m. After the spring is released, the mass loses contact with the spring and it is propelled up the ramp. Calculate the magnitude of the normal force acting on the mass after it has lost contact with the spring and before it loses contact with the ramp. Give your answer in units of newtons and with three decimal places. Hint: draw an FBD.
