Question

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/sec2
,
(ii) 6 m/sec2
.

Answer 1

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Answer 2

Step-by-step explanation:

Given :-

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

To Find :-

(i) 5 m/sec2

(ii) 6 m/sec2

Answer :-

Note :-

It is given that force is directly proportional to acceleration

i.e, F

$F \propto \: a$

F = ma {Here m is proportionality constant and also mass of body}

It is also given that m = 6

Therefore, F = 6a

The given equation is F = 6a

__________________________________________________________

(i) 5 m/sec2

When acceleration is 5 m/sec2

Put a = 5

F = 6 × 5 = 30 kgm/sec2

Hence the required answeis 30 kgm/sec2

__________________________________________________________

(ii) 6 m/sec2

When acceleration is 6 m/sec^2

Put a = 6

F = 6 × 6 = 36 kgm/sec2

Hence the required answer is 36 kgm/sec2