Two forces are applied to a car in an effort to move it, as shown in the followi

Question

Two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 448 N and F2 = 370 N. (Assume up and to the right as positive directions.)

                magnitude                                   ____________N                              direction                                   ___________ Two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 448 N and F2 = 370 N. (Assume up and to the right as positive directions.) What is the resultant of these two forces? If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction. __________m/s2

Explanation / Answer

a)

The addition of vector
F1= 448 at 10 degrees,
and vector F2= 370 N at -30 degrees,

X component calculation =
Frx = F1x +F2x = 448*cos(10) + 370*cos(-30)
= 441.19 + 320.429 = 761.61 N
Y Component Calculation
Fry = F1y + F2y = 448*sin(10) + 370*sin(-30)
= 77.79 -185 = -107.21

Magnitude= sqrt( (761.61)^2 + (-107.21)^2) = 769.12
Angle = tan-1(-107.21/761.61) = 8.013degrees right of forward

b)

a= 769.12 / 3000 = 0.256 m/s^2

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