Question

A force of 6N gives a mass m1, an acceleration of 18 m/s2 and a mass m2, an acceleration
of 24 m/s2. What acceleration would it give, if both the masses were tied together?
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Answer 1

The acceleration produced will be 6 m/s².

Explanation:

For the first body:

F = 5 N

Mass = m₁

a = 8 m/s²

Now, F=ma

So, 5 = m₁ x 8

So,  m¹=5/8 kg

For second body:

F=5 N

Mass= m₂

a = 24 m/s²

Now, F = ma

So,   5 = m₂ x 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= 5 N and a= ?

F = ma

So, 5 = 20/24 x a

So, a = 5 x 24/20

So, a= 6 m/s²

Thus the acceleration produced will be 6 m/s².

Also learn more

A man whose mass is 80 kg climbs up 30 steps of stairs in 30 seconds if each step is 12.5 CM in height calculate the power used in climbing the stairs given that the gravity is 10 M per second ?

https://brainly.in/question/4508776

Answer 2

Answer:

10.28 m/s2

Explanation:

Given , force F=6N

Acceleration of mass m1 , a1 = 18m/s2

Acceleration of mass m2 , a2 =24m/s2

Acceleration produced when both masses are tied together  a = ?

From newton's 2nd law of motion

m1 =  F/a1 = 6/18 = 1/3 kg

m2 =  F/a2 = 6/24 = 1/4 kg

Total mass , m = m1+m2 = 1/3+1/4

                    m = 4+3/12   =  7/12 kg

Acceleration produced in combined mass , a = F/m

                    a = 6  /   7/12      

                       = 12*6  /  7

                       = 10.28 m/s2