Formulas Ax = Xf - XO At = tf - to Ax Xf - XO _ Ax Av Vf - Vo V= At tf - to t a= 7 tf - to At = t; Ax = X - Xo ; Av = V - Vo X = Xo + vt ; vis constant V = Vo + at ; a is constant x = Xo + Vot +=at2 v2 = va + 2a(x -Xo) g = 9.8 m/s2 Projectile Motion X = Xo + Vxt Vx = VxO y = yo + Voyt -= (gt2) Vy = Voy - gt v3 = Vay - 2g(y - yo) Fnet = m . a w = m .g fs S Hs . N fk = Hk . N Circular Motion mv ev Fc = - r v=r. w W = At 1. In the presence of Quanta, a disgruntled student throws a bottle toward the pillar in the classroom. (4 points) a. What is the height at which the bottle makes contact with the pillar? b. What is the speed of the bottle at the moment of impact with the pillar? 15 m/s 25 hi 1.85m 14 m2. The Achilles tendon undergoes an upward pull from two muscles located at the back of the leg, namely the medial and lateral heads of the gastrocnemius muscle. Determine the magnitude of the total force acting on the Achilles tendon. (2 points) F(250N) F(220 N) 20 20 3. Find the tension in each wire, neglecting the masses of the wires. (2 points) 45 30 System of interest- 150 N 4. Calculate the speed at which an 80 m radius curve banked at 35 should be driven if the road is frictionless. (2 points) W Ncos 0 = w N sin 8 = Fc = Fret5. (4 paints} 3. Calculate the magnitude of the force in the back muscles that is needed to support the upper body plus the hex [muppgr bud, = 65 kg and mbux = 20 kg]. b. Calculate the magnitude of the force F1, exerted by the vertebrae en the spine at the indicated pivot point