The net force on an object of $14000"N"$ causes it to accelerate at a rate of $5"m"//"s"^2$ . What is the mass of the object?

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Answer 1 · 2017-09-12T02:49:01

$m=2800"kg"$

By Newton's second law, force is given by the product of an object's mass and acceleration as:

$vecF_"net"=mveca$

Which we can solve for mass (taking magnitudes) as:

$=>m=F/a$

We are given:

Therefore, we have:

$m=(14000"N")/(5"m"//"s"^2)$

$=>color(blue)(m=2800"kg")$

And we can check that the units work out, as we should get our final mass in kilograms.

$kg=((kgm)/s^2)/(m/s^2)$

$=>kg=(kgcancelm)/cancels^2*cancels^2/cancelm$

$=>kg=kg$

The net force on an object of 14000"N"14000"N" causes it to accelerate at a rate of 5"m"//"s"^25"m"//"s"^2. What is the mass of the object?