A medium-size catapult launches a 4.5-kg steel sphere as in Figure Ql. The launch speed is given as 30 m/s, the launch angle is 35° above horizontal, and the launch position is 2 meters above the ground level. A 3.5-meter fence is positioned 49 meters from the release point on a sloped tarmac as in Figure Q1. Assume constant gravitational acceleration and no acrodynamic drag Identify the minimum height of the fence required to block the steel sphere from passing over the fenced area. Show all the important calculations to justify your answer. i. Calculate the time duration of the flight and the position coordinate of first impact for the steel sphere when it hits the ground ii. Identify the maximum height, h above the horizontal field (on x-axis) attained by the steel sphere. ii.
A medium-size catapult launches a 4.5-kg steel sphere as in Figure Ql. The launch speed is given as 30 m/s, the launch angle is 35° above horizontal, and the launch position is 2 meters above the ground level. A 3.5-meter fence is positioned 49 meters from the release point on a sloped tarmac as in Figure Q1. Assume constant gravitational acceleration and no acrodynamic drag Identify the minimum height of the fence required to block the steel sphere from passing over the fenced area. Show all the important calculations to justify your answer. i. Calculate the time duration of the flight and the position coordinate of first impact for the steel sphere when it hits the ground ii. Identify the maximum height, h above the horizontal field (on x-axis) attained by the steel sphere. ii.
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![Question
A medium-size catapult launches a 4.5-kg steel sphere as in Figure Ql. The launch speed is given as
30 m/s, the launch angle is 35° above horizontal, and the launch position is 2 meters above the ground
level. A 3.5-meter fence is positioned 49 meters from the release point on a sloped tarmac as in Figure
Q1. Assume constant gravitational acceleration and no acrodynamic drag
i. Identify the minimum height of the fence required to block the steel sphere from passing over
the fenced area. Show all the important calculations to justify your answer.
Calculate the time duration of the flight and the position coordinate of first impact for the steel
sphere when it hits the ground
ii.
iii.
Identify the maximum height, h above the horizontal field (on x-axis) attained by the steel
sphere.
iv.
Identify the vertical component of the velocity vector for the steel sphere when it strikes the
ground. For horizontal component, how does the vector behave? Justify your answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc1226d5-d857-45ac-b9ef-c4d4a0825204%2F29837f74-9135-464f-adc4-832ad50685f3%2Ffilndzd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question
A medium-size catapult launches a 4.5-kg steel sphere as in Figure Ql. The launch speed is given as
30 m/s, the launch angle is 35° above horizontal, and the launch position is 2 meters above the ground
level. A 3.5-meter fence is positioned 49 meters from the release point on a sloped tarmac as in Figure
Q1. Assume constant gravitational acceleration and no acrodynamic drag
i. Identify the minimum height of the fence required to block the steel sphere from passing over
the fenced area. Show all the important calculations to justify your answer.
Calculate the time duration of the flight and the position coordinate of first impact for the steel
sphere when it hits the ground
ii.
iii.
Identify the maximum height, h above the horizontal field (on x-axis) attained by the steel
sphere.
iv.
Identify the vertical component of the velocity vector for the steel sphere when it strikes the
ground. For horizontal component, how does the vector behave? Justify your answer
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