The forces in the figure are acting on a 1.0 kg object. A) Find the value of a x
ID: 1286207 • Letter: T
Question
The forces in the figure are acting on a 1.0 kg object.
A) Find the value of
ax, the x-component of the object's acceleration.
Express your answer using two significant figures.
ax=? m/s^2
B)Find the value of
ay, the y-component of the object's acceleration.
Express your answer using two significant figures.
ay=? m/s^2
The forces in the figure are acting on a 1.0 kg object. A) Find the value of ax, the x-component of the object's acceleration. Express your answer using two significant figures. ax=? m/s^2 B)Find the value of ay, the y-component of the object's acceleration. Express your answer using two significant figures. ay=? m/s^2Explanation / Answer
The question is asking you to find the acceleration in the x direction. Because we're interested in finding the acceleration only in the x direction, we're also interested in the forces only in the x direction.
F = ma
Fx = max
WHERE:
Fx = forces in the x direction
m = mass
ax = acceleration in the x direction
If you look at the figure, there are only two forces in the x direction. The first force is the x component force 4.0 N acting to the right, denoted as +4.0 N. The second force is the 2.0 N force acting to the left, denoted as -2.0 N.
Fx = max
4.0 N - 2.0 N = (1 kg)*ax
2.0 N = (1 kg)*ax
ax = 2 m/s^2
Fy = may
3.0 N - 3.0 N = (1 kg)*ay
0.0 N = (1 kg)*ay
ay = 0 m/s^2
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