A 14.5 gram rocket is launched by an engine that exerts an average force of 8.0 N. What is the rocket's acceleration?
Question
A 14.5 gram rocket is launched by an engine that exerts an average force of 8.0 N. What is the rocket's acceleration?
Solution
Sure, to find the acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. The formula is:
a = F/m
where: a is the acceleration, F is the force, and m is the mass.
Given in the problem: F = 8.0 N (Newtons) and m = 14.5 g (grams), but we need to convert this to kilograms because the standard unit of mass in physics is kilograms.
1 gram is equal to 0.001 kilograms. So, 14.5 grams is equal to 14.5 * 0.001 = 0.0145 kg.
Now we can substitute the values into the formula:
a = 8.0 N / 0.0145 kg = 551.72 m/s²
So, the acceleration of the rocket is 551.72 m/s².
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