5:45 PM Fri Oct 21 2% usb06ca.theexpertta.com Problem 5: An ice hockey player of mass m1 = 93.5 kg hits a puck of mass my = 0.16 kg, giving the puck a speed of v = 42.5 m/s. Part (a) If both are initially at rest and if the ice is frictionless, how far, in terms of the variables in the problem, does the player recoil in the time it takes the puck to reach the goal, a distance d away? Expression : dh = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, m1, m2, P, S, t Part (b) If both are initially at rest and if the ice is frictionless, how far, in centimeters, does the player recoil in the time it takes the puck to reach the goal, 12.5 m away? Numeric : A numeric value is expected and not an expression. dh Problem 6: The eight ball, which has a mass of m = 0.5 kg, is initially moving with a velocity v = 3.8i m/s. It strikes the six ball inelastically, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of 0 = 8 180 and the six ball is deflected by an angle of D = 21.50, as shown in the figure. V 8 6 Otheexpertta.com Part (a) Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight ball's initial velocity, v. Expression 2 Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(D), cos(0), cotan(0), 1, sin(a), sin(@), sin(0), tan(0), w, a, B, 0, d, g, h, m, t, tan(D), v Part (b) What is the magnitude of the velocity, in meters per second, of the six ball? Numeric : A numeric value is expected and not an expression. V2 Part (c) What is the magnitude of the velocity of the eight ball, in meters per second, after the collision? Numeric : A numeric value is expected and not an expression. V1 Problem 7:5:46 PM Fri Oct 21 no. ustBca.theexpertta.com ii Problem 7: A car with mass mC = 104') kg is traveling west through an intersection at My) r a magnitude ot'velocity of Va : 8. 5 m/s when a truck of mass mt : 156 7kg traveling south at v1 = 14.4 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefcient of friction ofnk : 0.5. E(.\\') I lllL'L'\\|)L'l'll:l.t'l}[tl Part (21) Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j. Expression v : Select from the variables below to write your expression. Note that all variables may not be required. '1, [3, 9, d, g, 11, Ll, mg mg, mt, 1': t, Vea Vt Part (b) How far, in meters, will the vehicles slide after the collision? Numeric : A numeric value is expected and not an expression. J : Problem 8: A watermelon is blown into three pieces by a large recracker. Two pieces y of equal mass m y away perpendicular to one another, one in the x direction another t V in the y direction. Both of these pieces y away with a speed of V: 21 mfs. The third piece has three times the mass of the other two pieces. Randomized Variables V: 21 m/s V V x f e m - 3m I'l[let-\\lu-rlluxnm Part (21) Write an expression for the speed of the larger piece, that is in terms of only the variable V. Expression Vf: Select from the variables below to write your expression. Note that all variables may not be required. cos(9), n, sin(8), B, B, a, d, g, h, i, j, k, m, t, V Part (b) What is the numeric value for the speed of the larger piece, in meters per second? Numeric : A numeric value is expected and not an expression. Vf: Part (c) At what angle does the largest piece travel with respect to the -y axis, in degrees? Numeric : A numeric value is expected and not an expression. 3 : Problem 9: The ballistic pendulum was invented in 1742 by English mathematician Benjamin Robins. It consists of an initially stationary pendulum that moves after being struck by a bullet, and it is used to measure the original velocity of the bullet. The v = 0 known variables are the bullets mass m, the Pendulum's mass M, and the height to 6 which the block and bullet swing, determined by the length of the pendulum L and L 1 I Final :mol.a H X