Question

a force of 5N gives a mass m1 an acceleration of 8m/s2 a mass m2 an acceleration of 24m/s2 the acceleration if both the masses are tied together is

Answer 1

For the first body,
F=5N
mass=m₁
a=8m/s²

Now, F=ma
     So, 5=m₁ * 8
    So,  m¹=5/8 kg

For second body,
F=5N
mass= m₂
a=24 m/s²

Now, F=ma
So,   5=m₂ * 24
So,   m₂=5/24 kg

Combined mass of both bodies, m₁+m₂= 5/8 + 5/24
                                                               = (15+5)/24 
                                                               = 20/24 kg

Now, m= 20/24 kg
         F= 5N
         a= ?

F=ma
So, 5= 20/24 * a
So, a=5*24/20
So, a= 6m/s²

Thus the acceleration produced will be 6 m/s²

Answer 2

Answer:

Explanation:

Given :-

Force, F = 5.0 N

Acceleration of the first body, a₁ = 8.0 m/s²

Acceleration of the second body, a₂ = 24 m/s²

To Calculate :-

Acceleration for a body of mass, m₁ + m₂ = ??

Formula to be used :-

F = ma

Our first problem is to find m₁ and m₂.

Therefore, using : m₁ = F/a₁ and m₂ = F/a₂

m₁ = 5/8 kg and m₂ = 5/24 kg

Therefore, m = m₁ + m₂

= 5/8 + 5/24

= 15 + 5/24

= 20/24 kg

Hence, a = F/m = 5/20/24

a = 15 + 5/24 = 120/20 = 6.0 m/s².

Hence, the masses are tied together is 6.0 m/s².