Question

A force of 5 N gives a mass m1 and acceleration of 10m/s and a mass m2 an acceleration of 20m/s . What acceleration would it give if both the masses are tied together ?

Answer 1

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Given :-
F = 5 N

a1 = 10 m/s

a2 = 20 m/s


M1 = $\frac{F}{a1}$


=》$\frac{5}{10}$


=》 0.5 kg

M2 = $\frac{F}{a2}$


=》 $\frac{5}{20}$


=》 0.25 kg

⚫When two masses are tied together, the total mass becomes.

m = m1 + m2

m = 0.5 + 0.25

m = 0.75 kg

The acceleration produced in the combined mass by the force of 5 N is

a = $\frac{F}{m}$


=》 $\frac{5}{0.75}$


=》6.67 m/s $\boxed{Ans}$


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Answer 2

Given :-
F = 5 N

a1 = 10 m/s 

a2 = 20 m/s


M1 = \frac{F}{a1}a1F​ 


=》\frac{5}{10}105​ 


=》 0.5 kg 

M2 = \frac{F}{a2}a2F​ 


=》 \frac{5}{20}205​ 


=》 0.25 kg 

⚫When two masses are tied together, the total mass becomes.

m = m1 + m2 

m = 0.5 + 0.25 

m = 0.75 kg 

The acceleration produced in the combined mass by the force of 5 N is 

a = \frac{F}{m}mF​ 


=》 \frac{5}{0.75}0.755​ 


=》6.67 m/s \boxed{Ans}Ans​