ASU PHY 121 Fall 2019 Homework Assignment 3 Solutions.pdf - PHY 121 Homework Assignment 3 Solutions Dr MacDonald ASU Fall 2019 Points 60(10 per problem

ASU PHY 121 Fall 2019 Homework Assignment 3 Solutions.pdf -...

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1 PHY 121 Homework Assignment 3 Solutions Dr. MacDonald ASU Fall 2019 Points : 60 (10 per problem) Problem 1 : Problem 3.10 in Young & Freedman This is a projectile motion problem, with ?⃗ 0 = ? 0 x ̂ and 𝑎 ⃗ = −𝑔 y ̂ . The equations of motion for the swimmer are ?(?) = ? 0 ?, ?(?) = ? 0 1 2 𝑔? 2 , where we have taken the origin to be at the base of the cliff, so that ? 0 = 9.00 m and the ledge is located at 𝐿 = 1.75 m . The minimum required initial speed is the one for which the swimmer will just barely miss the ledge, so that at time ? hit when the swimmer enters the water she is located at ? = 0 , ? = 𝐿 . This gives the system of equations 𝐿 = ? 0 ? hit , 0 = ? 0 1 2 𝑔? hit 2 . Eliminating ? hit gives ? 0 = 1 2 𝑔 ( 𝐿 ? 0 ) 2 ⇒ ? 0 = 𝐿 𝑔 2? 0 = 1.29 m/s. Problem 2 : Problem 3.54 in Young & Freedman We have two objects whose equations of motion we need. The first is the ship, which is moving with constant velocity ? 𝑠 = −0.45 m/s , so that ? 𝑠 = 𝐷 + ? 𝑠 ? where 𝐷 is the distance the ship is away from the dock at the instant when the equipment is thrown at ? = 0 . The second is the equipment, which is thrown at an angle 𝜃 = 60.0° above the ? -axis, with initial speed ? 0 = 15.0 m/s , from initial position (? 0
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