A spring-loaded ball launcher context A spring-loaded ball launcher is embedded in the floor. When the ball launcher is triggered, the ball is propelled into the air and then falls to the ground. We are looking for the horizontal distance travelled by the ball. Information The pitcher is tilted at a known angle theta. The spring, whose spring constant is known, is initially compressed. At its natural length, the end of the spring coincides with the ground. The mass of the ball is known, but its diameter is neglected. Modelization Create a model (a single equation!) for the horizontal distance the ball travels (in metres) from the mouth of the pitcher to where it hits the ground. Then test your model with the following values: Pitch launcher lean angle (theta): 22.2 degrees Spring constant: 64.1 N/m Initial spring compression: 19.8 cm Ball mass A : 130 g
A spring-loaded ball launcher
context
A spring-loaded ball launcher is embedded in the floor. When the ball launcher is triggered, the ball is propelled into the air and then falls to the ground. We are looking for the horizontal distance travelled by the ball.
Information
The pitcher is tilted at a known angle theta.
The spring, whose spring constant is known, is initially compressed.
At its natural length, the end of the spring coincides with the ground.
The mass of the ball is known, but its diameter is neglected.
Modelization
Create a model (a single equation!) for the horizontal distance the ball travels (in metres) from the mouth of the pitcher to where it hits the ground. Then test your model with the following values:
Pitch launcher lean angle (theta): 22.2 degrees
Spring constant: 64.1 N/m
Initial spring compression: 19.8 cm
Ball mass A : 130 g
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