First slide

Second law

Question

A body of mass 2 kg moves along x-axis under the influence of a force which varies with time according to the graph shown in figure. Then average acceleration of the body is

Moderate

A

$3 m / s^{2}$
B

$12.4 m / s^{2}$
C

$8.33 m / s^{2}$
D

$6.2 m / s^{2}$

Solution

(3)
mv - mu = Area under F - t graph.
$\begin{array}{l} ∴ 2 (v - u) = 20 \times 4 + \frac{1}{2} \times (6 - 4) \times 20 \\ \Rightarrow v - u = 50 m / s \\ ∴ A v e r a g e a c c e l e r a t i o n \bar{a} = \frac{v - u}{t} = \frac{50}{6} m / s^{2} \\ = 8.33 m / s^{2} \end{array}$

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