Question

a force of 10N acts on masses m1 and m2 to accelerate to 2m/s2 and 4m/s2 .if they are tied togather,find the acceleration​

Answer 1

Question :-

A force of 10 N is applied on 2 body of masses m1 and m2 in order to accelerate them at 2 m/s² and 4 m/s² . Find the acceleration when they are tied together ?

Answer :-

Given :-

A force of 10 N is applied on 2 bodies of masses m1 and m2 in order to accelerate them at 2 m/s² and 4 m/s² .

Required to find :-

• Acceleration of the bodies when they are tied to together ?

Formula used :-

$\boxed{\tt{mass = \frac{force}{acceleration} }}$

Solution :-

Given information :-

A force of 10 N is applied on 2 bodies of masses m1 and m2 in order to accelerate them at 2 m/s² and 4 m/s² .

From the given information we can conclude that ;

Case - 1

Force ( F1 ) = 10 N

Acceleration ( a1 ) = 2 m/s²

Case - 2

Force ( F2 ) = 10 N

Acceleration ( a2 ) = 4 m/s²

We need to find the masses of the respective bodies in 2 cases

So,

In case - 1

Force ( F1 ) = 10 N

Acceleration ( a1 ) = 2 m/s²

Using the formula,

$\boxed{\tt{Mass = \dfrac{Force}{Acceleration} }}$

$\rightarrow{\tt{ Mass = \dfrac{ 10 }{ 2 } }}$

$\rightarrow{\tt{ {M}_{1} = 5 \ kg }}$

Similarly,

In case - 2

Force ( F2 ) = 10 N

Acceleration ( a2 ) = 4 m/s²

Using the same formula,

$\rightarrow{\tt{ Mass = \dfrac{ 10}{ 4 } }}$

$\rightarrow{\tt{ {M}_{2} = 2.5 }}$

Now,

we need to find the acceleration when the two bodies are tied together ;

This means that we need to divide the Force by sum of the masses of two bodies ( Total Mass ) .

Hence,

Total mass = m1 + m2

=> 5 + 2.5

=> 7.5 kg

However,

$\tt{ Acceleration = \dfrac{ 10 }{ 7.5 } }$

Multiply the numerator and denominator with 10

So,

$\tt{ Acceleration = \dfrac{ 10 \times 10 }{ 7.5 \times 10 } }$

$\tt{ Acceleration = \dfrac{ 100 }{ 75 }}$

$\tt{ Acceleration = 1.333 \dots }$

$\implies{\underline{\rm{ Acceleration = 1.33 \ m/s^2 \; ( approximately ) }}}$

Therefore,

Acceleration caused when two bodies are tied together = 1.33 m/s² ( approximately )

Answer 2

Answer:

Question :-

A force of 10 N is applied on 2 body of masses m1 and m2 in order to accelerate them at 2 m/s² and 4 m/s² . Find the acceleration when they are tied together ?

Answer :-

Given :-

A force of 10 N is applied on 2 bodies of masses m1 and m2 in order to accelerate them at 2 m/s² and 4 m/s² .

Required to find :-

Acceleration of the bodies when they are tied to together ?

Formula used :-

\boxed{\tt{mass = \frac{force}{acceleration} }}

mass=

acceleration

force

Solution :-

Given information :-

A force of 10 N is applied on 2 bodies of masses m1 and m2 in order to accelerate them at 2 m/s² and 4 m/s² .

From the given information we can conclude that ;

Case - 1

Force ( F1 ) = 10 N

Acceleration ( a1 ) = 2 m/s²

Case - 2

Force ( F2 ) = 10 N

Acceleration ( a2 ) = 4 m/s²

We need to find the masses of the respective bodies in 2 cases

So,

In case - 1

Force ( F1 ) = 10 N

Acceleration ( a1 ) = 2 m/s²

Using the formula,

\boxed{\tt{Mass = \dfrac{Force}{Acceleration} }}

Mass=

Acceleration

Force

\rightarrow{\tt{ Mass = \dfrac{ 10 }{ 2 } }}→Mass=

2

10

\rightarrow{\tt{ {M}_{1} = 5 \ kg }}→M

1

=5 kg

Similarly,

In case - 2

Force ( F2 ) = 10 N

Acceleration ( a2 ) = 4 m/s²

Using the same formula,

\rightarrow{\tt{ Mass = \dfrac{ 10}{ 4 } }}→Mass=

4

10

\rightarrow{\tt{ {M}_{2} = 2.5 }}→M

2

=2.5

Now,

we need to find the acceleration when the two bodies are tied together ;

This means that we need to divide the Force by sum of the masses of two bodies ( Total Mass ) .

Hence,

Total mass = m1 + m2

=> 5 + 2.5

=> 7.5 kg

However,

\tt{ Acceleration = \dfrac{ 10 }{ 7.5 } }Acceleration=

7.5

10

Multiply the numerator and denominator with 10

So,

\tt{ Acceleration = \dfrac{ 10 \times 10 }{ 7.5 \times 10 } }Acceleration=

7.5×10

10×10

\tt{ Acceleration = \dfrac{ 100 }{ 75 }}Acceleration=

75

100

\tt{ Acceleration = 1.333 \dots }Acceleration=1.333…

\implies{\underline{\rm{ Acceleration = 1.33 \ m/s^2 \; ( approximately ) }}}⟹

Acceleration=1.33 m/s

2

(approximately)

Therefore,

Acceleration caused when two bodies are tied together = 1.33 m/s² ( approximately )