Answer the following questions from D - G

Data Provided on the first picture.

The mass of the pendulum is M and the mass of the ball is m and the height the oendulum and ball swing to isAh. Derive an equation for the final velocity of the pendulum with the ball lodged in it in terms of g (acceleration during gravity) and Ah (the change in height of pendulum as shown on the picture below). ah = h- ho m - moss of M - mass of ball pendulum without the ball n Express your answer in meters to two significant figures. View Available Hint(s) v = sqrt(2g(h - ho) Submit Previous Answersv Part8 V Determine the intial velocity of the ball just before it lodges in the pendulum in terms of M. m: g and Ah. Use your knowledge of conservation of momentum for inelastic collisions. v - ((M-HII) ' sqrt(2g(hh8) )I Previous Answers V Part C J Record the data in Table 1 below. average h M (k9) "10(9) in (m) '12 (n1) ha (m) h (m) h5 (m) (m) Delennine the average height hm, for the set of data in Table 1. 0.27487 8.869 8.12 8.12 6.123 8.122 8.12 8.121 Previous Answers Part D If the intiail height of the pendulum above the red top of the apparatus shown above is ho =2.5cm, determine the final velocity using the equation you derived in part A. Submit V Part E Using the magnitude of the final velocity you determined in part D and the masses M, and m given in Table 1, determine the initial speed of the ball just before it lodges in the pendulum. SubmitPart F Now you would like to determine the spring constant k of the spring used in the Ballistic pendulum apparatus. You can measure the distance the spring is compressed in relation to the relaxed state and find a value for compression x. Record this value in the space provided below. Submit V Part G Using your knoweldege of COE, determine the spring constant. Write the value in the space provided below. Submit