Question #72067

2 Answers
Nov 6, 2017

Answer:

The mass is #=12.9kg#

Explanation:

Apply the equation of motion

#v=u+at#

to calculate the acceleration

The initial speed is #u=0ms^-1#

The final speed is #v=107ms^-1#

The time is #t=2.3s#

The acceleration is

#a=(v-u)/t=(107-0)/2.3=46.52ms^-2#

According to Newton's second Law

#F=ma#

The force is #F=600N#

The mass is

#m=F/a=600/46.52=12.9kg#

Nov 6, 2017

Answer:

12.897 kg, or 28.433 lb.

Explanation:

The formula for force, in Newtons #N#, is #F=ma#, where #F# is the force, #m# is the mass in #kg#, and #a# is the acceleration in #ms^-2#.

The formula for acceleration is #(Deltav)/(Deltat)#. Here, #Deltav = 107ms^-1# and #Deltat=2.3s#.

So the acceleration is #46.522 ms^-2#.

The formula for force can be rearranged thus:

#F =ma#

#F/a=(mcancelcolor(red)(a))/cancelcolor(red)a#

#m=F/a#

#m=600/46.522#

#m=12.897#

The required mass is 12.897 kg.