Question

what is the mass of an object given a force of 50N and a velocity that changes from 2m/s to 10m/s a ten second interval

Answer 1

The mass of the given object is $62.5 kg$

Force can be regarded as the combination of mass as well as acceleration.

• Force can be calculated using this expression
• $Force= (mass* acceleration )$

• Then $Mass= \frac{ Force }{ acceleration }$

• However, $Acceleration= \frac{ ( V - U) }{t}$

$V= final velocity= 10m/s$

 U= initial velocity= 2m/s

t= time = 10secs

Then can substitute our values to know our acceleration as

• $Acceleration= \frac{10-2}{10}$

$= 8/10\\ = 0.8 m/s^2$

We were given force as 50N, and our acceleration is $0.8 m/s^2$

• $Mass= \frac{ Force }{ acceleration }$

• $Mass= \frac{50}{0.8}$

$=62.5 kg$

Therefore, the mass is 62.5 kg

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