Question
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A force of 52 N acts upon a 4 kg block sitting on the ground. Calculate the acceleration of the object.

Ask by Harrington Savage. in the United States
Jan 12,2025

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Tutor-Verified Answer

Answer

The block accelerates at 13 meters per second squared.

Solution

To calculate the acceleration of the block, you can use **Newton's Second Law of Motion**, which states: \[ \text{Force} (F) = \text{Mass} (m) \times \text{Acceleration} (a) \] You can rearrange this formula to solve for acceleration: \[ a = \frac{F}{m} \] **Given:** - Force, \( F = 52 \, \text{N} \) - Mass, \( m = 4 \, \text{kg} \) **Calculation:** \[ a = \frac{52 \, \text{N}}{4 \, \text{kg}} = 13 \, \text{m/s}^2 \] **Answer:** The block accelerates at 13 meters per second squared.

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Bonus Knowledge

To find the acceleration of the block, you can use Newton’s second law of motion, which states that Force equals mass times acceleration (F = ma). Rearranging the formula gives us acceleration (a = F/m). Given the force is 52 N and the mass is 4 kg, you can substitute these values in: a = 52 N / 4 kg = 13 m/s². So, the acceleration of the object is 13 meters per second squared! When drawing this out, it’s important to remember that if the block were on a frictionless surface, it would accelerate in the direction of the force. If there is friction, that would need to be considered to adjust the net force and subsequently the acceleration. Always double-check which forces are acting on your object!

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