Question

both these questions have their answer given, i just need the steps to solve them. thanks.

Question 32 0 out of 1 points A 29.3 kg stone traveling at 6.97 m/s to the right, hits a stationary 17.6 kg ball. If the final velocity of the stone is 3.56 m/s to the left, what is the final velocity of the ball? Take right to be positive. Selected Answer. Correct Answer: [None Given] 17.5+ 2% (m/s) Question 33 O out of 1 points You tie a ball to a 38.7 cm long string and swing it around in a horizontal direction. If the string is tilted down at an angle of 57.1°, what is the radial acceleration of the ball? Selected Answer. Correct Answer: [None Given] 6.3 + 2% (m/s^2)

Answer 1

using momentum conservation

m1 u1 + m2 u2 = m1 v1 + m2v2

29.3* 6.97 + 0 = 29.3* (- 3.56) + 17.6* v2

v2 = 17.53 m/s

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33.

forces along vertical

T sin x = mg... (i)

foecws along horizontal

T cos x = m a.. . (ii)

dividing (ii) by (i)

tan x = g /a

a = 9.8 /tan 57.1

a = 6.34 m/s^2

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