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Two boxes of textbooks, of masses 10 kg and 15 kg, are connected by a lightweight string, and then pulled across a horizontal table by a horizontal applied force, as shown in the diagram above (attached to question).

The applied force has a magnitude of 50 N, and there is no friction between the boxes and table. What is the acceleration of the 10 kg 10 kg box?

A.) 3.3 m/s^2
B.) 2.0 m/s^2
C.) 5.0 m/s^2
D.) The box will not accelerate because the tension force acting on it to the left must also be 50 N 50 N.

Two boxes of textbooks of masses 10 kg and 15 kg are connected by a lightweight string and then pulled across a horizontal table by a horizontal applied force a class=

Respuesta :

Answer:

The correct option is;

B.) 2.0 m/sĀ²

Explanation:

The given information are;

The masses of the boxes are; mā‚ = 15 kg and mā‚‚ = 10 kg

The force applied, F = 50 N

The friction force between the blocks and the table = N/A

The equation for the applied force, F = Mass, m Ɨ Acceleration, a

Therefore;

a = F/m

Given that the two boxes are attached to each other and to the force by a spring, they will experience the same motion, and therefore, the same acceleration

The total mass (the two blocks) pulled by the applied, 50 N force, [tex]m_T[/tex] = mā‚ + mā‚‚ = 10 kg + 15 kg = 25 kg

The acceleration given the blocks by the applied force, a = F/[tex]m_T[/tex] = 50 N/(25 kg) = 50 kgĀ·m/sĀ²/(25 kg) = Ā 2 m/sĀ²

The acceleration experienced by the 10 kg box = The acceleration experienced by the system of the two boxes = 2 m/sĀ².

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