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 = 418 N and F2 = 395 N. (Assume up and to the right as positive directions.)

(a) What is the resultant of these two forces?

(b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction.
_____________ m/s2

magnitude     ________________ N direction     _______________ ? to the right of the forward direction Two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 418 N and F2 = 395 N. (Assume up and to the right as positive directions.) (a) What is the resultant of these two forces? magnitude ________________ N direction _______________ A degree to the right of the forward direction (b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction. _____________ m/s^2

Explanation / Answer

Vertical force = 418 cos 10 + 395 cos 30 = 753.73 N

Horizontal force = 395 sin 30 - 418 sin 10 = 124.915 N

Resultant = sqrt ( 753.73^2 + 124.915^2) = 764.01 N

Angle = tan-1 ( 753.73/124.915) = 80.59 degrees

b) Mass = 3000 kg

F = 764.01 N

a = F/M = 0.25467 m/s^2

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