des-Benz Door Chi. 11 Netflix × sp?cour d146461 d10817845.1&steps 4 m/s -5 ms QU

Question

des-Benz Door Chi. 11 Netflix × sp?cour d146461 d10817845.1&steps 4 m/s -5 ms QUESTION 2 x-axis, and a second team puls with In a different tug of war, one team pulls with a a force of 25 newtons at an angle of 250 degrees. Use a scale drawing to determine the total You will need paper, a protractor and a ruler to complete this question.) force and angle applied to the central ring. (NOTE 34.8 N at 2.5 degrees from the positive x-axis 52.4 N at 2.5 degrees from the positive x-axis 4.8 N at 240 degrees from the positive x-axis 50 N at 30 degrees from the positive x-axis

Explanation / Answer

Remember that: If Force is F and it makes angle A with +x-axis, then it's components are given by:

Fx = F*cos A

Fy = F*sin A

Using above rule, in tug of war

F1 = 50 N & angle = 30 deg with +x-axis

F1x = F1*cos A1 = 50*cos 30 deg = 43.3 N

F1y = F1*sin A1 = 50*sin 30 deg = 25 N

F2 = 25 N & angle = 250 deg with +x-axis

F2x = F2*cos A2 = 25*cos 250 deg = -8.55 N

F2y = F2*sin A2 = 25*sin 250 deg = -23.5 N

Fnet = Fnet)x + Fnet)y

Fnet = (F1x + F2x) i + (F1y + F2y) j

Using above values

Fnet = (43.3 - 8.55) i + (25 - 23.5) j

Fnet = 34.75 i + 1.5 j

|Fnet| = sqrt (Fnet_x^2 + Fnet_y^2)

|Fnet| = sqrt (34.75^2 + 1.5^2)

|Fnet| = 34.8 N

Direction of Fnet will be

Direction = arctan (Fnet_y/Fnet_x)

Direction = arctan (1.5/34.75) = 2.47 deg

Direction = 2.5 deg with positive x-axis

Correct otpion is A.

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