What is the acceleration of a 1.4kg object falling through the air if the force of air resistance on the object is 2.5 N
Answers
Answer:
We assume that there are two forces affecting the vertical descent of the object: gravity and air resistance. Here's what we are going to do:
Analyze the forces of gravity and air resistance.
Use Newton's Law force = mass x acceleration to write down an equation that relates vertical speed with vertical acceleration. This will be a simple kind of differential equation.
Do some calculus magic to find an explicit formula for the vertical speed---here we use stuff from differential calculus (Math 251) to solve the differential equation.
Introduce some new calculus magic to answer the important question---this material is discussed in Section 5.1 of your text; it involves the introduction of a rectangle approximation technique to estimate the area under the speed graph.
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M=1.4kg
F=2.5N
F=Ma
So. 2.5=1.4xa
2.5/1.4=a
250/140=a
a=25/14m/sec×sec