What would be the force needed to accelerate a 22 kg cheetah at 15 m/s²?
Understand the Problem
The question is asking us to calculate the force required to accelerate a cheetah with a mass of 22 kg at an acceleration of 15 m/s², using Newton's second law of motion (F = ma).
Answer
The required force is \( 330 \, \text{N} \).
Answer for screen readers
The required force is ( 330 , \text{N} ).
Steps to Solve
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Identify the variables We have the mass (m) of the cheetah, which is 22 kg. The acceleration (a) we want to achieve is 15 m/s².
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Apply Newton's second law According to Newton's second law, the force (F) can be calculated using the formula:
$$ F = m \cdot a $$
- Substitute the values Now, we will substitute the values of mass and acceleration into the equation:
$$ F = 22 , \text{kg} \cdot 15 , \text{m/s}^2 $$
- Calculate the force Now we perform the multiplication:
$$ F = 330 , \text{N} $$
The required force is ( 330 , \text{N} ).
More Information
The force calculated shows the intensity needed to accelerate a cheetah at the specified rate. This example illustrates how Newton's laws apply to real-world situations, such as the acceleration of animals.
Tips
- Using incorrect units: Ensure mass is in kilograms and acceleration in meters per second squared.
- Forgetting to multiply: It's easy to overlook the multiplication step when applying the formula.
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