What effect does a doubling of the mass have upon the acceleration of the object
1 answer:
Hello there!
Your question can be answered using the Newton's Secon Law of Motion:
This Law says that the forces on an object are equal to the product of its mass (m) and acceleration (a):
If we clear this equation for acceleration, we'll see that:
So, studying this equation, we'll see that acceleration is inversely proportional to mass, thus, assuming that the force remains constant, doubling the mass will decrease the acceleration of the object by half.
Your question can be answered using the Newton's Secon Law of Motion:
This Law says that the forces on an object are equal to the product of its mass (m) and acceleration (a):
If we clear this equation for acceleration, we'll see that:
So, studying this equation, we'll see that acceleration is inversely proportional to mass, thus, assuming that the force remains constant, doubling the mass will decrease the acceleration of the object by half.
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Answer:
<em>work done in pumping the entire fuel is 466587 J</em>
<em></em>
Explanation:
weight of the gasoline per volume = 6600 N/m^3
diameter of the tank = 3 m
length of the tank = 2 m
height of the tractor tank above the top of the tank = 5 m
work done in pumping fuel to this height = ?
First, we find the volume of the fuel
since the tank is cylindrical,<em> we assume that the fuel within also takes the cylindrical shape.</em>
<em>Also, we assume that the fuel completely fills the tank.</em>
volume of a cylinder =
where r = radius = diameter ÷ 2 = 3/2 = 1.5 m
volume of the cylinder = 3.142 x x 2 = 14.139 m^3
we then find the total weight of the fuel in Newton
total weight = (weight per volume) x volume
total weight = 6600 x 14.139 = 93317.4 N
work done = (total weight of the fuel) x (height through which the fuel is pumped)
work done in pumping = 93317.4 x 5 = <em>466587 J</em>