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17 A 1135 kg automobile is pulled by a horizontal tow line with a net force of 849 N . What is the acceleration of the auto? Round two decimal places. Hint: If your answer is 120.438 , you would round your answer to 120.44 ?

Ask by Ayala Rojas. in the United States
Feb 19,2025

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The acceleration of the automobile is 0.75 m/s².

Solución

To find the acceleration of the automobile, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. Given: - Mass of the automobile: 1135 kg - Net force: 849 N We can use the formula: \[ F = ma \] Where: - \( F \) is the net force - \( m \) is the mass of the automobile - \( a \) is the acceleration Rearranging the formula to solve for acceleration: \[ a = \frac{F}{m} \] Substitute the given values: \[ a = \frac{849}{1135} \] Now, we can calculate the acceleration and round it to two decimal places. Calculate the value by following steps: - step0: Calculate: \(\frac{849}{1135}\) The acceleration of the automobile is approximately 0.748018 m/s². Rounding this to two decimal places, the acceleration is 0.75 m/s².

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To find the acceleration of the automobile, you can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration. Here, you have: - Net force \( F = 849 \, \text{N} \) - Mass \( m = 1135 \, \text{kg} \) Rearranging the formula to solve for acceleration gives you: \[ a = \frac{F}{m} \] Plugging in the values: \[ a = \frac{849 \, \text{N}}{1135 \, \text{kg}} \approx 0.747 \, \text{m/s}^2 \] So, the acceleration of the automobile is approximately **0.75 m/s²** when rounded to two decimal places. Now, did you know the first law of motion came about in the 17th century? Sir Isaac Newton's work laid down the foundation for classical mechanics, and it wasn’t just about pulling cars! His principles explained everything from why planets orbit the sun to why we stay in our seats when a car brakes suddenly. Physics is all around us! Thinking of ways to calculate acceleration correctly? A common mistake is neglecting to ensure that the force is the net force acting on the object. Always double-check if you’re using total force or just the force needed to overcome friction, gravity, or any other opposing forces. Rushing this step can lead to incorrect conclusions!

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