Question

A force produces an acceleration of 5 cms - 2. When it acts on a body of mass 20g. The force is
a) 10 N
b) - 10N
c) 10-3 N
d) 10-N
​

Answer 1

Answer:

c

Explanation:

We know that the force= mass× acceleration.

Given that mass =20g

Now acceleration=5cm/s^2

Force=20×5=100 dyne because it is in CGS unit but the options are in SI units..

We also know that 1 N=10^5 dyne..

So force = 100÷10^5 N = 10^-3N

So option 'c' is correct..,

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Answer 2

Given:-

☛Mass= 20g

☛Acceleration= 5cm/s²

   

Find:-

☛Force

 

Formula used:-

Using second law of motion

☛F=ma

 

Solution:-

☛Change g to kg

we know,

1kg = 1000g

$\sf{1g= \dfrac{1}{1000}kg}$

$\sf{\implies 20g= \dfrac{1}{1000}\times 20 kg}$

$\sf{\implies Mass = 0.02kg}$

 

☛now change cm to m

we know,

1m= 100cm

$\sf{ 1cm= \dfrac{1}{100}m }$

$\sf{ \implies 5cm= \dfrac{1}{100} \times 5 m}$

$\sf{ Acceleration = 0.05m/s}$

 

☛Put the given value in formula we get,

$\sf {F= m \times a}$

$\sf{\implies F= 0.02\times 0.05 }$

$\sf {\implies F= 0.001N}$

$\sf{ F=10 ^{-3} N}$

option (c) is correct.

 

$\bf{\underline{\pink{ \therefore The \ force \ produces \ is \ 10^{-3} . }}}$