Question

MP Introductory Physics I (PHY-111-20101 ses / 19WNCMP PHY-111-20101 Week 2 Week 2 Quiz You drop a ball in a stationary elevator and the ball hits the floor in 0.50 s. How long does it take for the ball to hit the floor if the elevator was already moving up with a constant speed of 1.0 m/s when you dropped the ball: Select one: a.0.82s b. 0.50s Oc. 0.41s d. 0.61 s Next page : ump to... LabReport # !File Upload uiz 2

Answer 1

Let the magnitudes of the vector be r. A^vector = -r i^vector m B^vector = r cos (240 degrees) i^^+ r sin (240 degrees) j^^= (-r/2 i^^- squareroot 3/2 r j^^)m. C^vector = r cos (330 degrees) i^^+ r sin (330 degrees) j^^= (squareroot 3/2 r i^^- r/2 j^^) m. resultant, R^vector = A^vector + B^vector + C^vector = (-r - r/2 + squareroot 3/2 r) i^^+ (-squareroot 3/2 - 1/2) r j^^= (-0.63397 i^^-1.366 j^^) r m. = (-0.63397 r i^^-1.336 r j^^) m. angle, theta = 180 degrees + tan^-1 (1.336/0.63397) = (180 degrees + 65 degrees) = 245 degrees. Therefore option (b) is the correct choice.