Question

A wooden block of mass m1 accelerates at 10ms-2 when a force of 5N acts on it. Another block of mass m2 accelerates at 20ms-2 when same force acts on it. Find the acceleration if both he blocks are tied together and same force acts on their combination.

Answer 1

Answer:

When a force of 5N gives an acceleration of 10ms-² to a body

then its mass = 5/10 kg = 0.5kg

so, m₁ = 0.5kg

Explanation:

when a force of 5N gives an acceleration of 20ms⁻² to a body 

then its mass = 5/20 kg = 0.25kg

so, m₂ =  0.25kg

when the two bodies r tied total mass of the system bcomes = 0.75kg

so acceleration of the system will b = force/mass = 5/0.75 = 6.67 ms⁻²

Please mark as BRAINLIEST

Answer 2

Answer:

The answer will be 30 m$s^{-2}$.

Explanation: Now the things that are given,

                      acceleration or a = 10 m$s^{-2}$ ;

                      Force or F = 5N;

    and,           mass of the  $body_{1}$  =  $m_{1}$

Now, as we know that,

                   Force = $\frac{Mass}{Acceleration}$

Hence, the mass of the $body_{1}$ is given by,

                Mass of body 1 or $m_{1}$ = Force * Acceleration                                  (i)

Now put the value of the Force and the Acceleration in equation (i);

            Mass of body 1 or $m_{1}$ = 5* 10

                               = 50 kg

Thus, the mass of body 1 will be 50kg.

Similarly, the mass of body 2 or  $m_{2}$ will be

                             $m_{2}$ = 20 * 5

                                  = 100kg

So, we got

    $m_{1}$ = 50kg;

and    $m_{2}$ = 100kg  

So, when they tied together then their masses will summed up and resulted mass will be

       $m_{12}$ = 50 + 100 =150;

Here, we have given the force i,e. same force of 5 Newton.

          F = 5 N

Now the expression for the acceleration will be given as;

       Force = Mass/ Acceleration;

       Acceleration = Mass / Force           (ii)

Put the values of variable in equation (ii);

   Acceleration = 150 / 5

                         = 30 m$s^{-2}$.

Therefore, the acceleration of the tied body ,when the force applied is same, will be 30 m$s^{-2}$.

That's all.