Question

finding a ax v t graph

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A single force with x-component Fx acts on a 500g object as it moves along the x-axis. A graph of Fx versus t is shown in the figure. Drawn acceleration graph (ax versus t) for this object.

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Answer #1

Write the mathematical expression of Newton’s second law.

Rearrange for a.

Here, a is the acceleration of the body, F represents the external force acting on the body and m is the mass of the body.

The given force-time curve is shown below.

4

Massof the object is,

Use the above mentioned formula.

Substitute the coordinates from the graph in the table below and calculate acceleration using above relation.

Mass (m) in kg

0

0

0.5

0

1

0

0.5

0

2

1.5

0.5

3

3

0.5

4

0.5

Here, is the acceleration in x-direction.

Draw the graph, versus t.

Take t values on the x-axis and values on the y-axis.

The graph is shown below.

5

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