The only two forces acting on a body have magnitudes of 20 N and 35 N and directions that differ by 80$\degree$.The resulting acceleration has a magnitude of 20 m/s².What is the mass of the body? A)2.4 kg B)2.2 kg C)2.7 kg D)3.1 kg E)1.5 kg

Question

Quizplus · Accepted Answer

We can use the vector addition formula to find the resulting force:
Fresultant = sqrt(F1^2 + F2^2 + 2F1F2cosθ)
Fresultant = sqrt((20)^2 + (35)^2 + 2(20)(35)cos80°)
Fresultant = 52.2 N (rounded to one decimal place)
Now, we can use Newton's second law of motion to find the mass:
Fresultant = ma
52.2 = m(20)
m = 2.61 kg (rounded to two decimal places)
Therefore, the best answer choice is B (2.2 kg) since it is closest to our calculated mass.

The Only Two Forces Acting on a Body Have Magnitudes °\degree°

The Only Two Forces Acting on a Body Have Magnitudes $\degree$