Final answer:
The question involves calculating force components for two masses on a force table, using the formulas for gravitational force F = mg and then finding the components using trigonometry. This requires understanding of forces, basic trigonometry, and Newton's laws.
Step-by-step explanation:
The question is asking to calculate the components of forces (Ax and Ay) for two 100 g masses attached to a force table at angles of 115° and 245°. To find the magnitude of force (in Newtons) for each mass, we use the equation F = mg, where m is the mass and g is the acceleration due to gravity (9.8 m/s²). The mass in kilograms is 0.100 kg (since 100 g is equal to 0.100 kg).
For the first mass (F1), at 115°:
F1 = (0.100 kg)(9.8 m/s²) = 0.98 N
Ax(F1) = F1 * cos(115°)
Ay(F1) = F1 * sin(115°)
For the second mass (F2), at 245°:
F2 = (0.100 kg)(9.8 m/s²) = 0.98 N
Ax(F2) = F2 * cos(245°)
Ay(F2) = F2 * sin(245°)
The components Ax and Ay will then be used to determine the direction and magnitude of the resultant force. The components are found by multiplying the magnitude of the force by the cosine and sine of the angle provided, respectively. A graphical method (such as the head-to-tail method) or a calculator can be used to find the cosine and sine values for the respective angles.