Question

Which would require greater force?

a) Accelerating 4 kg mass at 10 m/s-

2

or

b) 4 kg mass at 2 m/s-

​

Answer 1

Answer:

Given :

a) Accelerating 4 kg mass at 10 m/s-²

b) 4 kg mass to 2 m/s-²

To find :

Which would require greater force ?

Taken :

To find the force use this formula -:

$\sf{\boxed{F=ma}}$

Where ,

F = Force

m = Mass of the object

a = Acceleration

Solution :

a.

$\implies \sf{F=ma}$

$\implies \sf{F=4\:kg\times{10m/s}^{-2}}$

$\implies \sf{F=40\:N}$

So , the 40 N is acting at option (a) .

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b.

$\implies \sf{F=ma}$

$\implies \sf{F=4\:kg\times{2m/s}^{-2}}$

$\implies \sf{F=8\:N}$

So , the 8 N is acting at option (b)

▪︎Now , find which will take more force .

So , option (a) or accelerating 4 kg on 10 m/s-² takes 40 N.

And , option (b) or 4 kg mass on 2 m/s-² takes 8 N .

After finding the force of both . Then , the option a or accelerating 4 kg on 10 m/s-² requires more force .

Answer :

So , option (a) or Accelerating 4 kg on 10 m/s-² requires more force .