A body with a mass of m1 = 6.0 kg under the action of a resultant force, the modulus of which is F1 = 15H

A body with a mass of m1 = 6.0 kg under the action of a resultant force, the modulus of which is F1 = 15H, receives some acceleration. The body of what mass under the action of the resultant force, the modulus of which is F2 = 24H, will receive the same acceleration?

Let’s write Newton’s second law:

F = m * a, where F is force, m is mass, a is acceleration.

Let us express the acceleration from it:

a = F / m.

Let’s find the value of the acceleration of the first body:

a = 15: 6 = 15/6 N.

Let us express the mass from the second law:

m = F / a.

Then the mass of the second body will be:

m = 24: 15/6 = 144/15 ≈ 10 kg.

Answer: the required body weight is 10 kg.