A little red wagon with mass $7\;kg$ moves in a straight line on a frictionless horizontal surface. It has an initial speed of $4\;m/s$ and then is pushed $3\;m$ in the direction of the initial velocity by a force of $10\;N$. Calculate the wagon's final speed and the acceleration produced by the force.

Given,

Mass of wagon $(m) = 7\;kg$

Initial Speed $(u) = 4\;m/s$

Distance $(s) = 3\;m$

Force $(F) = 10\;N$

Final Speed $(v) = \;?$

Acceleration $(a) = \;?$

We have,

$F = ma$     ⇒    $a = $$\frac{10}{7}$  = $1.43\;m/s^2$

Again,

$v^2 = u^2 + 2\;a\;s = 4^2 + 2\;*\;1.43\;*\;4 = 27.44$        ⇒       $v = 5.2\;m/s$

ஃ Final speed is $5.2\;m/s$ & Acceleration is $1.43\;m/s^2$

Return to Main Menu