Question

A force of 2 N gives a mass m1 an acceleration of 5m/s2 and a mass m2, an accelerated of 7m/s2. What acceleration would be produced if both the masses are tied together?​

Answer 1

Explanation:

Let's find the mass of both the objects, for this we know:

• F = ma

So, put the values of condition of 1st object,

= F = ma

= 2 = m × 5

= 2/5 = m

= 0.4 = m

Now, the mass of second will be,

= F = ma

= 2 = m × 7

= 2/7 = m

= 0.28 = m

Now, when both the objects will be tied then mass of the objects will remain same and the total force will be force required to pull both the objects which is 2 N and mass will be 0.4 + 0.28 = 0.68 kg

So,

F = ma

2 = 0.68 × a

2/0.68 = a

200/68 = a

2.94 m/s² = a

Therefore, the acceleration when both objects will be tied is 2.94 m/s².