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 = 405 N and F2 = 355 N. (Assume up and to the right as positive directions.)

A) What is the resultant of these two forces?

Magnitude__________N

Direction___________ 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

Two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 405 N and F2 = 355 N. (Assume up and to the right as positive directions.) A) What is the resultant of these two forces? Magnitude__________N Direction___________ 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

take components of the forces along horizontal direction

Rx = F2 sin(30) - F1 sin(10) = 107.172 N

Ry = F2 cos(30) + F1 cos(10) = 706.3 N

magnitude of the resultant force = sqrt( Rx^2 + Ry^2) = 714.4 N

direction = tan -1 (Ry/Rx) = 81.37 with horizontal

8.63 degrees with right of the forward direction

B)

acceleration = F/m = 714.4/3000 = .238 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.