Acceleration Calculation for 3 Blocks with Different Masses

What is the acceleration of 3 blocks with masses m1 = 5.57 kg, m2 = 18.7 kg, and m3 = 33.4 kg being pulled along a frictionless horizontal surface by a force of 583 N?

The acceleration of the blocks can be calculated using Newton's second law of motion, F = ma. Since the surface is frictionless, the force F will be applied entirely to the acceleration of the blocks. The total mass of the blocks is calculated as m = m1 + m2 + m3 = 5.57 kg + 18.7 kg + 33.4 kg = 57.67 kg. By applying Newton's second law of motion, 583 N = 57.67 kg * a, and solving for acceleration we get a = 10.1092 m/s^2. Therefore, the correct answer is option 9.

Calculation of Acceleration:

The equation of motion using Newton's second law of motion is F = ma. For the given scenario, the force F is 583 N and the total mass of the 3 blocks is 57.67 kg. Plugging in these values, we get: F = ma 583 N = 57.67 kg * a a = 10.1092 m/s^2 Therefore, the acceleration of the blocks is 10.1092 m/s^2, as calculated above.
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