A projectile launcher as shown in the Fig. Q1 is used to launch 0.5 kg ball into the air. The launcher is connected to a 1-kg mass and starts from rest with the spring compressed to a length of 15 cm. The un-stretched length of the spring is 75 cm. When the launcher is released from rest, the 1-kg mass will impact the ball and the ball will project in the air. Determine a suitable spring constant and angle θ for ball to reach a maximum height of 20 m (measure from the current position of ball). The Coefficient of restitution between 1-kg mass and ball is 0.8. (Note: first determine an arbitrary angle and find the spring constant for that)
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