Question

A massless rope passes over a massless pulley suspended from the ceiling. A 4-kg block is attached to one end and a 5-kg block is attached to the other end. The acceleration of the 5-kg block is

Answer 1

The acceleration on the 5kg block is 1.088m/s^2

Data;

• mass(a) = 4kg
• mass (b) = 5kg
• acceleration of the 5kg block.

The Acceleration on the 5kg block

To solve this question, we just need to use Newton's second law of motion which states that "the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it."

$F_n_e_t = M_t_o_t_a_l * a\\F = ma\\F_n_e_t = mg$

But then the force on both sides will be

$mg = ma\\5g - 4g= (4+5) a\\(5-4)g = 9a\\g = 9a\\a = \frac{g}{9} \\a = \frac{9.80}{9} \\a = 1.088 m/s^2$

The acceleration on the 5kg block is 1.088m/s^2

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