Question
Nikolas had an idea that he could use the compressed carbon dioxide in a fire extinguisher to propel him on his skateboard.
Nikolas, the fire extinguisher, and the skateboard have a combined mass of 50 kg. What force would the fire extinguisher have to produce to propel Nikolas if he wanted to accelerate at a rate of 1.2 m/s2? Round your answer to the nearest whole newton.
60 N
Which of Newton’s laws did Nikolas have to use to calculate this force?
Nikolas, the fire extinguisher, and the skateboard have a combined mass of 50 kg. What force would the fire extinguisher have to produce to propel Nikolas if he wanted to accelerate at a rate of 1.2 m/s2? Round your answer to the nearest whole newton.
60 N
Which of Newton’s laws did Nikolas have to use to calculate this force?
Answers
GPT-4o mini
Nikolas used **Newton's Second Law of Motion** to calculate the force required to accelerate. Newton's Second Law states that the force (F) applied to an object is equal to the mass (m) of that object multiplied by the acceleration (a) of the object, which can be expressed with the equation:
\[ F = m \cdot a \]
In this case, the mass (m) is 50 kg and the desired acceleration (a) is 1.2 m/s².
Calculating the force:
\[ F = 50 \, \text{kg} \cdot 1.2 \, \text{m/s}^2 = 60 \, \text{N} \]
So, the fire extinguisher would need to produce a force of 60 N to achieve that acceleration, confirming the answer you provided.
\[ F = m \cdot a \]
In this case, the mass (m) is 50 kg and the desired acceleration (a) is 1.2 m/s².
Calculating the force:
\[ F = 50 \, \text{kg} \cdot 1.2 \, \text{m/s}^2 = 60 \, \text{N} \]
So, the fire extinguisher would need to produce a force of 60 N to achieve that acceleration, confirming the answer you provided.