Question

You start pushing a suitcase full of clothes in the horizontal direction with a force of 25.0 newtons. The weight of the suitcase is 196 newtons. After it accelerates for 3.00 seconds, how far has it traveled? Assume that the initial velocity of the system is zero and that there is no friction.

Answer 1

Distance traveled will be 5.6307 m

Step-by-step explanation:

Time t = 3 sec

We have given force F = 25 N

We know that force is given by F = ma

So ma = 25 -----------eqn 1

Weight is given by W = 196 N

We know that weight is given by W = mg

So mg = 196 -----------------eqn 2

From equation 1 and equation 2
`(a)/(g)=(25)/(196)`

`a=1.2512m/sec^2`

Initial velocity is given as 0 so u = 0 m/sec

From second equation of motion
`s=ut+(1)/(2)at^2=0* 3+(1)/(2)* 1.2512* 3^2=5.6307m`