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Only two forces act on an object (mass=2.77 kg), as in the drawing. Find (a) the

ID: 1589421 • Letter: O

Question

Only two forces act on an object (mass=2.77 kg), as in the drawing. Find (a) the magnitude and (b) the direction (relative to the x axis) of the acceleration of the object.

In the book they have a similar problem. It said to seperate from P and A forces. I did that.

Then it said to use the equation a=Force/Mass (can't type physics), another said Pythagorean. I have all those numbers. Another walk through in the text book said the a's equation was in m/s^2. Wiley said no. Can someone explain??? Thanks.

X Y P 40.0N 0N A 60 cos 45=42.426 60 sin 45=42.426 Sum 82.426 42.426

Explanation / Answer


Px = 40 N

Qy = 0

Px = 60*cos45 = 42.43 N

Py = 60*sin45 = 42.43 N


Fx = Px + Ax = 82.43 N

Fy = py + Ay = 42.43 N

ax = Fx/m = 82.43/2.77 = 29.8 m/s^2

ay = Fy/m = 42.43/2.77 = 15.32 m/s^2


(a)

magnitude = sqrt(ax^2+ay^2) = 33.5 m/s^2


direction = tan^-1(ay/ax) = 22.2