Question

please answer all parts, thank you.

2. A cart on a frictionless track is attached on one side to a ideal spring. (The other side of the spring is fixed to the wall.) The cart has a mass of 1.20 kg. You compress the spring by 0.200 m and release the cart to oscillate at t = 0.00 s. The force needed to initially compress the spring is measured to be 10.0 N. (a) What is the angular frequency of the oscillating cart? (b) What is the maximum speed of the cart? (c) What is the position of the cart at t = 0.800 s? (That is, how far is the cart from the equilibrium point at t = 0.800 s, and is the cart closer to the wall or farther from the wall than the equilibrium point?)

Answer 1

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t=0 .. ki m2 1.20 Kg A720.200 m AN=0.206 no Equilibrium position Fak AX K E10.0N - 50 Nm 17C20 Oman Erre out - - 6.45 rad's ha ♡ I mu mas = 1 Konya - Vmax= x K = (4x). W - vn = 0.200 * 6.45 ms = 4:29. mis. A (amplitude of SHM) Here sx = @ we know. Tolz Asim (wt +67 I as the motion starts from left extreme (x=-A) a $2.-1/2 so fa= A sin (wt - t 6% at t= 0.800s a a= 0.200 x sin (64580.500-72) 2 = 0.087 m so, the cart is closer to the wall than eqo-point,