Solve the following 7 problems, showing all your stepwise mannor Some of the ans

Question

Solve the following 7 problems, showing all your stepwise mannor Some of the answers you must find yourselves work in an intelligible, coherent. 1. If an object on a horizontal frictionless surface is attached to a spring displaced and then released. it will oscillate. If is displaced 0.120m from its equilibrium position and released with zero initial speed, then after 0.800s its displacement is found to be 0.120m on the opposite side, and it has passed the equilibrium position once during this interval. Find, a) the amplitude; b) the period c) the frequency. Answers: (a) f an ideal spring (of negligible mass) to a wall and th other end of the spring to a 0.200kg Pascar that sits at rest on a frictionless, horizontal track. You then pull the Pascar horizontally and let go, causing it sta it oscillating. The elapsed time from when the Pascar first moves through the equilibrium point to the second time it moves through the equilibrium point is 2.60s. Find the spring constant, k, of the spring. Answer: 3. A 1.50kg mass on a spring has a displacement as a function of time given by t equation x(t) = (7.40cm)cos((4.16s*)t-2.42] Find, a) the time for one complete vibration; b) the force constant of the spring; c) the maximum speed of the mass; d) the maximum force on the mass; e) at t= 1.00s, find the mass's a. the position, b. the speed, c. the acceleration d. the force on the mass

Explanation / Answer

1] Amplitude of oscillation = 0.12 m

Now, the object has passed equilibrium position once and its displacement on the other side is x = 0.12 m

this happens after time t = 0.8s

therefore, the period of the motion will be: T = 2t = 1.6s [answer - b]

the amplitude of motion is A = 0.12 m [answer - a]

and frequency f = 1/T = 1/1.6 = 0.625 Hz [answer - c].

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