Math, asked by singhyuvraj8513, 1 year ago

The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express their statement in two variable and draw the same by taking the constant mass as 6 kg. Read from the graph the force required when the acceleration is 5m/s² and 6m/s².

Answers

Answered by steffiv875
83

Answer:

Equation would be,

F=6a


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Answered by aryanghuge1
53

Answer:

Step-by-step explanation:When a force F is applied on a body, let an acceleration a be produced . Then,

F∝a⇒=ma, where m is the mass of the body

∴F=6a  …(i)[∵m=6 kg (given) ].

On a graph paper, let us draw two mutually perpendicular lines X'OX and YOY' as the x-axis and the y-axis respectively.

On this graph paper, we take the values of along the x-axis and the corresponding values of F along the y- axis.

Some of the values of a and F are given below.

aF00318424848

On the graph paper, we plot the points O(0,0),A(3,18),B(4,24)andC(8,48). join OA, AB and BC to get the graph line OABC.

(i) On the graph paper, take a point P along OX such that OP= a= 5. Draw PD⊥X'OX, meeting the line OABC at D. Clearly, D(5,30) cuts OABC at D.

So, when a=5, we have F=30.

(ii) On the graph paper, take a point Q along OX such that OQ = a= 6. Draw QE⊥X'OX, meeting OABC at E.

Clearly, E (6,36) cuts OABC at E. Hence, a=6⇒F=36.

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