Question

the force exerted to pull a cart directly proportional to the accelator produced express this statement as a linear equation in two variables and draw the graph on the same by taking the constant mass equal to 6 kg read from the graph the force required when the acceleration produced is 5m sec and 6m​

Answer 1

Answer:

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Step-by-step explanation:

Let the force exerted to pull the cart is denoted by y and the acceleration is denoted as x

Given that y α x

⇒y = kx

Given that the constant mass k is equal to 6 kg

∴ y = 6x

Three solutions satisfying this equation are (0, 0), (1, 6), (2, 12)

The equation y = 6x can be represented graphically as:

To find the force required to produce the acceleration of 5 cm/s2, draw a line parallel to y-axis from (5, 0) . Let it intersects the graph at point P. from P draw a line parallel to x-axis to intersect y-axis. It may be observed that intersects y-axis at (0, 30). This is shown in the graph in red line.

Thus, the force of 30 kg cm/s2 is required to produce an acceleration of 5 cm/s2

You can similarly find the force required to produce an acceleration of 6 cm/s2. You find it as 36 kg cm/s2. This is shown in the graph in green lines.