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Tension is pulling a 12 kg ball upward with a force of 175 N. The gravitational force is 118 N. What is the acceleration?

A. 0.57 m/s²
B. 0.63 m/s²
C. 0.45 m/s²
D. 0.71 m/s²

Answer :

Final answer:

The net force on the ball is calculated by subtracting the gravitational force from the tension force. Then, using Newton's Second Law, this force is divided by the ball's mass to find the acceleration, which appears to not match the given answer choices.

Explanation:

To calculate the acceleration, we'll use Newton's Second Law, which states that force equals mass times acceleration (F=ma), with force being the net force acting on the object. In this case, the net force will be the tension force upwards minus the gravitational force downwards.

To calculate the net force, we subtract gravity's pull (118N) from the upward tension (175N): 175N - 118N = 57N. This 57N is the net force acting on the 12kg ball.

Next, use Newton's second law (F=ma) to solve for acceleration (a). Rearrange the equation to a = F/m: 57N / 12kg = 4.75 m/s².

However, it seems like there's a discrepancy between this answer and the options given (A) 0.57 m/s², (B) 0.63 m/s², (C) 0.45 m/s², (D) 0.71 m/s²). This might suggest a calculation or problem mistake. Always ensure to double check the given values and the used formulas.

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