20) The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as a linear equation of two variables and draw the graph of the same by taking the constant mass equal to 6 kg. Read from the graph, the force required when the acceleration produced is (i) 5 m/sec , (ii) 6 m/sec
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Your Answer:
Given:-
[tex]\tt \blacktriangleright F \propto a \\\\ \tt Where, \\\\ \tt \star F = force(y) \\\\ \tt \star a = acceleration(x)\\[/tex]
Solution:-
[tex]\tt Removing \ \ \propto \ \ symbol \ \ by \ \ using \ \ constant[/tex]
[tex]\tt F = ma \\\\ \tt \star here, m =mass[/tex]
[tex]\tt Replacing \ \ the \ \ value \ \ of \ \ F,a \ \ and \ \ m[/tex]
[tex]\tt y = 6x[/tex]
forming the Graph
Lets create some points to locate
let x = 0
So, y = 0
The first point is A(0,0)
let x = 1
So, y = 6
The second point is B(1,6)
By observing the graph we come to know that the force is 30units at 5m/s^2 and 36units at 6m/s^2
Answer:
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Step-by-step explanation:
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