Hint for part b: Hint #1: Acceleration is in same direction as resultant force.

Question

Hint for part b:

Hint #1: Acceleration is in same direction as resultant force. 6 709 48 N 100 40° An egg shaped object falls out of a nest and lands feet first on an ice rink. The object's mass is 54 kg and it seems to know that its XY coordinate system is parallel to the surface of the ice The object is being pushed by the two forces shown in the diagram These problems do not have to be written out for your portfolio EXAMPLE NOTES IMAGES DISCUSS UNITS STATS HELP Part Description Answer Chk History What is the magnitude of acceleration of the object? (include units with answer) 3.72 pts. 74% 2% try penalty Hints: 0,0 # tries: 9 Show Details Format Check What is the direction of the acceleration vector? (angle CCW from x-axis) (include units with answer) 85.7 deg 4.45 pts, 89% # tries: 1 Show Details Format Check 2% try penalty

Explanation / Answer

given egg shaped object

m = 54 kg

given two forces

in i, j convention

F1 = 41(cos(40)i + sin(40)j)

F2 = 48(sin(10)i + cos(10)j)

a. acceleration = (F1 + F2)/m = (39.7429i + 73.625j)/54

a = sqrt(39.742^2 + 73.625^2)/54 = 1.5493 m/s/s

b. direciton of acceleration vector is along direciton of force vector

theta = arctan(73.625/39.7429) = 61.63975 deg CCW to +x axis

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