Question
A force of 20 N acts upon a 5 kg block. Calculate the acceleration of the object.
Ask by Schmidt Boone. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The acceleration is 4 m/s².
Solution
To calculate the acceleration of the object, we can use the formula:
\[ F = m \times a \]
where:
- \( F \) is the force acting on the object (in Newtons, N)
- \( m \) is the mass of the object (in kilograms, kg)
- \( a \) is the acceleration of the object (in meters per second squared, m/s^2)
Given:
- Force (\( F \)) = 20 N
- Mass (\( m \)) = 5 kg
We can rearrange the formula to solve for acceleration (\( a \)):
\[ a = \frac{F}{m} \]
Substitute the given values into the formula:
\[ a = \frac{20 \, \text{N}}{5 \, \text{kg}} \]
Now, we can calculate the acceleration.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{20}{5}\)
- step1: Reduce the numbers:
\(\frac{4}{1}\)
- step2: Calculate:
\(4\)
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Simplify this solution The Deep Dive
To find the acceleration of the block, you can use Newton's second law, which states that force equals mass times acceleration (F = ma). Rearranging the formula gives us acceleration (a) = F/m. Plugging in the values, we get a = 20 N / 5 kg = 4 m/s². So, the block's acceleration is 4 meters per second squared! Consider that in real-world scenarios, various factors could affect this calculation, including friction and air resistance. For instance, if this block were sliding across a rough surface, you would need to account for the force of friction acting against it. Always be mindful of these variables when applying theoretical calculations to practical situations!
