A spring-loaded ball launcher (I) 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. Find the horizontal distance the ball travels (in metres) from the mouth of the pitcher to where it hits the ground with these 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 (I)
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.
Find the horizontal distance the ball travels (in metres) from the mouth of the pitcher to where it hits the ground with these 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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