Q9 of 39 Page 141

The force applied on a body of mass 6 kg. is directly proportional to the acceleration produced in the body. Write an equation to express this observation and draw the graph of the equation.

Given that mass (m) = 5 kg

Also, from Newton’s send law of motion, we have-


⇒ f = ma (where, f is force and a is acceleration)


⇒f = 6a is the equation to express this observation .


For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.


(Note: ∵ equation is linear graph will always be straight line.)


Table of solutions for the given equation-



GRAPH:



(Note: a = -1 means, a is negative and negative acceleration is called retardation.)


More from this chapter

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7

Rajiya and Preethi two students of Class IX together collected ₹ 1000 for the Prime Minister Relief Fund for victims of natural calamities. Write a linear equation and draw a graph to depict the statement.

 8

Gopaiah sowed wheat and paddy in two fields of total area 5000 square meters. Write a linear equation and draw a graph to represent the same?

 10

A stone is falling from a mountain. The velocity of the stone is given by V = 9.8t. Draw its graph and find the velocity of the stone ‘4’ seconds after start.

 11

In a election 60% of voters cast their votes. Form an equation and draw the graph for this data. Find the following from the graph.

(i) The total number of voters, if 1200 voters cast their votes


(ii) The number votes cast, if the total number of voters are 800


[Hint: If the number of voters who cast their votes be ‘x’ and the total number of voters be ‘y’ then x = 60% of y.]