According to Newton's second law, an object's acceleration is inversely proportional to its mass and proportional to both the resulting force and the resultant force.
F= (m) (a)
a = f/m
force, F = N
m = kg = mass
m/s2 = a = acceleration caused by gravity
When an object falls in the air, friction with the air and gravity are both at work because of the mass of the thing. These two forces operate in opposition to one another. Gravity is downward while the frictional force is upward.
Fg = (m)(g),
Fg = (30)(10) = 300N
Fa = 50N
so that the item is affected by the net force
∑F = Fg - fa
(Fg is positive given the direction in which the object is falling, whereas fa is negative given that it is the opptsite of the direction in which the object is moving.)
∑F = 300 - 50
∑F = 250 N
Using Newton's second law, we can calculate the acceleration.
Answers & Comments
Given Asked:
Fomula:
[tex]∑F = (m)(a)\\\\250 =(30)(a)\\\\a =\frac{25}{3}\:m/s[/tex]
Solution:
According to Newton's second law, an object's acceleration is inversely proportional to its mass and proportional to both the resulting force and the resultant force.
When an object falls in the air, friction with the air and gravity are both at work because of the mass of the thing. These two forces operate in opposition to one another. Gravity is downward while the frictional force is upward.
so that the item is affected by the net force
(Fg is positive given the direction in which the object is falling, whereas fa is negative given that it is the opptsite of the direction in which the object is moving.)
Using Newton's second law, we can calculate the acceleration.
[tex]∑F = (m)(a)\\\\250 = (30)(a)\\\\a=\frac{25}{3}\:m/s[/tex]
Answer:
The object's acceleration is
[tex]{\frac{25}{3} \: m/s}[/tex]
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