Halliday, Fundamentals of Physics, 10e pRINTERVERSION | | BACK NEXT Chapter 09,

Question

Halliday, Fundamentals of Physics, 10e pRINTERVERSION | | BACK NEXT Chapter 09, Problem 046 Your answer is partially correct. Try again. A 4.6 kg mess kit sliding on a frictionless surface explodes into two 2.3 kg parts, one moving at 2.6 m/s, due north, and the other at 6.8 m/s, 31 north of east. What is the original speed of the mess kit? Units Tm/s Numbe The number of significant digits is set to 2; the tolerance is +/-4% Click if you would like to Show Work for this Open Show Work question Question Attempts: Unlimited sAVE FOR LATER BMIT ANSWER 843 PNM l

Explanation / Answer

Given that mess kit sliding on a friction less explodes in two parts

Let P_x = 2.3 kg ( 6.8 m/s ) cos 30

                = 13.54 kg m/s

   P_y = 2.3 kg ( 2.6 m/s + 6.8 sin ( 30 ))

            = 13.8 kg m/s

total momentum P = ? P_x^2+ P_y ^2

                               = ? ( 13.54 )^2 + ( 13.8 )^2

                               = 19.33 kg m/s

original speed v = P / M

                               = 19.33 kg m/s / 4.6 kg

                               = 4.202 m/s

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