Homework 8-problems

Homework 8-problems - oF the bullet is 3 97 g 22 N m 2 kg 3...

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le (txl65) – Homework 8 – Spurlock – (11881) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points A body oscillates with simple harmonic mo- tion along the x -axis. Its displacement varies with time according to the equation x ( t ) = A sin( ω t + φ ) . IF A = 5 m, ω = 2 . 566 rad / s, and φ = 1 . 0472 rad, what is the acceleration oF the body at t = 4 s? Note: The argument oF the sine Function is in radians rather than degrees. Answer in units oF m / s 2 . 002 (part 1 of 3) 10.0 points A block oF mass 0 . 2 kg is attached to a spring oF spring constant 22 N / m on a Fric- tionless track. The block moves in simple har- monic motion with amplitude 0 . 25 m. While passing through the equilibrium point From leFt to right, the block is struck by a bullet, which stops inside the block. The velocity oF the bullet immediately be- Fore it strikes the block is 67 m / s and the mass
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Unformatted text preview: oF the bullet is 3 . 97 g. 22 N / m . 2 kg 3 . 97 g 67 m / s ±ind the speed oF the block immediately beFore the collision. Answer in units oF m / s. 003 (part 2 of 3) 10.0 points IF the simple harmonic motion aFter the colli-sion is described by x = B sin( ω t + φ ), what is the new amplitude B ? Answer in units oF m. 004 (part 3 of 3) 10.0 points The collision occurred at the equilibrium po-sition. How long will it take For the block to reach maximum amplitude aFter the collision? Answer in units oF s. 005 10.0 points A 14 . 9 g bullet is fred into and embeds itselF in a 3 . 4 kg block attached to a spring with a spring constant oF 22 . 3 N / m and whose mass is negligible. How Far is the spring compressed iF the bullet has a speed oF 122 m / s just beFore it strikes the block, and the block slides on a Frictionless surFace? Answer in units oF m....
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