PHY 120 review sheet

label Physics
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schedule 1 Day
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A novice golfer on the green takes three strokes to sink the ball. The successive dis- placements are 6.8 m to the north, 5.8 m northeast, and 7 m 11◦ west of south. Start- ing at the same initial point, an expert (lucky) golfer could make the hole in a single displace- ment. What is the magnitude of this single dis- placement? Answer in units of m.

Jun 2nd, 2015

Thank you for the opportunity to help you with your question!

The 3 displacements along the X Y axes  are:

DX1=0,  DY1=6.8

DX2=5.8 cos(135)= - 4.1  DY2=5.8 sin(135)=4.1

DX3=7 cos(270+11)= 1.33, DY3=7 sin(270+11) = - 6.87

Summing up:

DX = 0-4.1+1.33=-2.77   DY= 6.8+4.1-6.87=4.03

The length of a single shot:

L=sqrt(DX^2+DY^2)=4.89

The angle with respect to the X axis: tan^(-1)(4.03/-2.77) = -55.5 degrees or 304.5 degrees or 55.5 south of west or 34.5 east of south (all these definitions are the same).

Good luck

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 2nd, 2015

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Jun 2nd, 2015
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