Three forces acting on a spherical mass M are depicted in the diagram below 60 5

Question

Three forces acting on a spherical mass M are depicted in the diagram below 60 50 40 30 20 10 10 O 20 30 30-20-10 G 10 20 30 40 50 600 70 80 Force, Horizontal-component (N) A. Calculate the magnitude and direction (i.e., the angle with respect to the positive H-axis, measured positive as counter-clockwise) of the total force acting on M. Notice that the arrows representing the forces end on grid intersections Magnitude 60N Direction 20deg Submit Answer submission not graded. Use more digits. Tries 0/12 Previous Tries B. When a fourth force is applied to the mass, it is observed that the velocity of the mass stops changing and remains constant. What are the horizontal and vertical components of that fourth force? Horizontal: Vertical:

Explanation / Answer

here ,
A)

as the net force is sum of all three force

Fnet = ( - 20 N + 40 N + 40 N ) i + j (40 N - 20 N)

Fnet = 60 i + 20 j N

Fnet = sqrt(60^2 + 20^2) at angle = arctan(20/60)

Fnet = 63.2 N at angle = 18.4 degree

the net force of these three force is 63.2 N at 18.4 degree from positive x - axis

B)

for the net force to be zero

Fnet + F4 = 0

60 i + 20 j + F4 = 0

F4 = -60 i - 20 j

horizontal = -60 N

vertical = -20 N

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