A dog pulls on a pillow with a force of 19 N at an angle of 42° above the horizontal. Find the x and y components of this force.
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14.11975168
A dog pulls on a pillow with a force of 8.7 N at an angle of 29.8◦ above the horizontal
a) What is the x component of this force? Answer in units of N
To find the x and y components of a force, we can use trigonometry. The x component of the force is the projection of the force onto the x-axis, and the y component of the force is the projection of the force onto the y-axis.
Given that the force has a magnitude of 19 N and is at an angle of 42° above the horizontal, we can calculate the x and y components as follows:
Step 1: Convert the angle to radians
Angle in radians = Angle in degrees * (π / 180)
Angle in radians = 42° * (π / 180) ≈ 0.733 radians
Step 2: Calculate the x component (Fx)
Fx = Force * cos(angle)
Fx = 19 N * cos(0.733) ≈ 9.55 N
Step 3: Calculate the y component (Fy)
Fy = Force * sin(angle)
Fy = 19 N * sin(0.733) ≈ 14.42 N
Therefore, the x component of the force is approximately 9.55 N, and the y component of the force is approximately 14.42 N.