How fast will an object with a mass of #3 kg# accelerate if a force of #7 N# is constantly applied to it?

Question

How fast will an object with a mass of #3   kg# accelerate if a force of #7  N# is constantly applied to it?

Nathan Ashcroft · Accepted Answer

2.33 m/s^2

F comes from m * a. 3a = 7 and a = 7/3 a = 2.33 m/s^2

Parker Abbott · Answer

undefined To find the acceleration, use Newton's second law, which states that force equals mass times acceleration (F = ma). Rearranging the formula to solve for acceleration: a = F/m. Plugging in the values: a = 7 N / 3 kg = 2.33 m/s². Therefore, the object will accelerate at approximately 2.33 meters per second squared.

HIX Tutor · Answer

undefined To find out how fast the object will accelerate, you can use Newton's second law of motion. Here’s how to do it step-by-step:

1. **Find the formula**: The formula is $ F = m \times a $, where:
   - $ F $ is the force (in Newtons)
   - $ m $ is the mass (in kilograms)
   - $ a $ is the acceleration (in meters per second squared)

2. **Rearrange the formula to find acceleration**: 
   $$ a = \frac{F}{m} $$

3. **Plug in the numbers**: 
   - $ F = 7 \, N $ (force)
   - $ m = 3 \, kg $ (mass)

So, 
   $$ a = \frac{7 \, N}{3 \, kg} $$

4. **Calculate**: 
   - $ a = 2.33 \, m/s^2 $ (approximately)

So, the object will accelerate at about **2.33 meters per second squared**.