Question

Solve this plz fast

Answer 1

The relation between Force, Mass and Acceleration is:

$\boxed{F=ma}$


Now, when 15 N force is applied on mass $m_1$,the acceleration is $10 \: m/s^2$. 
So, we can write:

$F = m_1\: a \\ \\ \implies 15 = m_1 \times 10 \\ \\ \implies m_1 = \frac{15}{10} \\ \\ \\ \implies m_1 = \frac{3}{2} \: kg$

Now, when a force of 15 N is applies on a mass $m_2$, the acceleration is $2 \: m/s^2$. 

So, we can write:

$F = m_2 \: a \\ \\ \implies 15 = m_2 \times 2 \\ \\ \\ \implies m_2 = \frac{15}{2} \: kg$

Now, both masses are tied together. So total mass of combines system will be:

$m = m_1 + m_2 \\ \\ \\ \implies m = \frac{3}{2} + \frac{15}{2} \\ \\ \\ \implies \frac{18}{2} \\ \\ \\ \implies m = 9 \: kg$

Now, we are applying 15 N force to this combined mass system. We have to find the acceleration.


$F = ma \\ \\ \\ \implies 15 = 9 \times a \\ \\ \\ \implies a = \frac{15}{9} \\ \\ \\ \implies \boxed{a=\frac{5}{3} \: m/s^2}$


Thus, the acceleration when both masses are tied together is $\frac{5}{3} \: m/s^2$


Hope it helps
Purva
Brainly Community

Answer 2

Answer:

The relation between Force, Mass and Acceleration is:

\boxed{F=ma}

F=ma

Now, when 15 N force is applied on mass m_1m

1

,the acceleration is 10 \: m/s^210m/s

2

.

So, we can write:

\begin{lgathered}F = m_1\: a \\ \\ \implies 15 = m_1 \times 10 \\ \\ \implies m_1 = \frac{15}{10} \\ \\ \\ \implies m_1 = \frac{3}{2} \: kg\end{lgathered}

F=m

1

a

⟹15=m

1

×10

⟹m

1

=

10

15

⟹m

1

=

2

3

kg

Now, when a force of 15 N is applies on a mass m_2m

2

, the acceleration is 2 \: m/s^22m/s

2

.

So, we can write:

\begin{lgathered}F = m_2 \: a \\ \\ \implies 15 = m_2 \times 2 \\ \\ \\ \implies m_2 = \frac{15}{2} \: kg\end{lgathered}

F=m

2

a

⟹15=m

2

×2

⟹m

2

=

2

15

kg

Now, both masses are tied together. So total mass of combines system will be:

\begin{lgathered}m = m_1 + m_2 \\ \\ \\ \implies m = \frac{3}{2} + \frac{15}{2} \\ \\ \\ \implies \frac{18}{2} \\ \\ \\ \implies m = 9 \: kg\end{lgathered}

m=m

1

+m

2

⟹m=

2

3

+

2

15

⟹

2

18

⟹m=9kg

Now, we are applying 15 N force to this combined mass system. We have to find the acceleration.

\begin{lgathered}F = ma \\ \\ \\ \implies 15 = 9 \times a \\ \\ \\ \implies a = \frac{15}{9} \\ \\ \\ \implies \boxed{a=\frac{5}{3} \: m/s^2}\end{lgathered}

F=ma

⟹15=9×a

⟹a=

9

15

⟹

a=

3

5

m/s

2

Thus, the acceleration when both masses are tied together is \frac{5}{3} \: m/s^2

3

5

m/s

2

Hope it helps

Purva

Brainly Community