Three robotic space mining probes push a 134 kg asteroid, exerting forces (as shown in the figure), with F₁ = 33 N, F2 = 59 N, F3 = 39 N, 0₁ = 25 degrees and 3 = 63 degrees. These angles are relative to the x-axis (F2 is along the x-axis). What is the magnitude of the asteroid's acceleration? |ā| = 0.875 x m/s² Hint: Each force is a vector. The three forces can be added as vectors by adding the x-components together and the y-components together (watch the sign of the components!). Acceleration is Fnet/m, where Fnet is the magnitude of the net force. What is the angle of the acceleration vector relative to the +x axis (a positive angle points into the first quadrant, a negative angle points into the fourth quadrant)? angle = 24.51 x degrees Hint: The direction of the acceleration vector is the same as that of the net force (they are always in the same direction). Find the x- and y-components of the net force and use your knowledge of vector directions to calculate the angle. Don't forget the sign of the components!
Three robotic space mining probes push a 134 kg asteroid, exerting forces (as shown in the figure), with F₁ = 33 N, F2 = 59 N, F3 = 39 N, 0₁ = 25 degrees and 3 = 63 degrees. These angles are relative to the x-axis (F2 is along the x-axis). What is the magnitude of the asteroid's acceleration? |ā| = 0.875 x m/s² Hint: Each force is a vector. The three forces can be added as vectors by adding the x-components together and the y-components together (watch the sign of the components!). Acceleration is Fnet/m, where Fnet is the magnitude of the net force. What is the angle of the acceleration vector relative to the +x axis (a positive angle points into the first quadrant, a negative angle points into the fourth quadrant)? angle = 24.51 x degrees Hint: The direction of the acceleration vector is the same as that of the net force (they are always in the same direction). Find the x- and y-components of the net force and use your knowledge of vector directions to calculate the angle. Don't forget the sign of the components!
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