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session.masteringphysics.com offset next&assignmentProblemID; 51987190 https:// PHY121 Fall 2015 Help Close HW15, conservation of E Exercise 7.33 Resources previous l 5 of 5 l return to assignment Exercise 7.33 Part A A small block with mass 0.0400 kg is moving in the xy- What is the magnitude of the acceleration of the block when it is at the point z 0.28 m, y 0.55 m plane. The net force on the block is described by the Express your answer with the appropriate units. potentia- energy function U(z,y) (5.50 J/m2)a2- 3.55 J/m 3 Submit My Answers Give Up Correct significant Figures Feedback: Your answer 113 was either rounded differently or used a different number of significant figures than required for this part. Part B What is the direction of the acceleration of the block when it is at the point ac 0.28 m y 0.55 m 100 o counterclockwise from the +z-axis Submit My Answers Give Up Incorrect, Try Again, 8 attempts remaining Continue Provide Feedback

Explanation / Answer

X-component of force:
(Fx) = -U/x
(Fx) = -2(5.50)x
(Fx) = -11.0x

x-component of acceleration:
m(ax) = -11.0 x
(0.0400 kg)(ax) = -11.0*(0.28 m)
(ax) = -77 m/s²

y-component of force:
(Fy) = -U/y
(Fy) = 3*(3.55)y²
(Fy) = 10.65y²

y-component of acceleration:
m(ay) = 10.65y²
(0.0400 kg)(ay) = 10.65(0.55 m)²
(ay) = 80.5 m/s²


tan = (ay)/(ax)
tan = (80.5)/(-77)
= tan^-1 ((80.5)/(-77) )
= 180 - 46.27
= 133.7 o Counter Clock Wise from the +ve X axis.

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