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.
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.
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.
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