the block of mass 3.17134 kg has an acceleration of 4.9 m/s^2 as shown. What is the magnitude of F? Assume the acceleration due to gravity is 9.8 m/s^2 and the surface is frictionless. Answer in units of N.

The magnitude of the applied force is determined as 16.7 N.
The magnitude of force F is calculated by applying Newton's second law of motion.
F cos θ = ma
where;
F cos(23) = 3.171(4.9)
0.92F = 15.54
F = 15.54 / 0.92
F = 16.7 N
Thus, the magnitude of the force depends on the acceleration, mass and acceleration of the block, as well as the angle of inclination of the applied force.
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