Question

A force of 15N acts separately on two bodies of masses 3kg and 5kg the ratio of accelerations produced in the two cases will be

Answer 1

Answer:

The ratio of the accelerations produces in the two cases . For mass 3 kg . For mass 5 kg . Therefore , the ratio is 5 : 3

Answer 2

Answer:

The ratio of acceleration produced in two cases will be 5/3.

Explanation:

Given: two masses, m₁ = 3 kg

                                 m₂ = 5 kg

           force acting, f = 15 N

To find: ratio of their individual accelerations.

Solution: #For mass m₁, we have:

                  Force, f = 15 N

                  Mass, m₁ = 3 kg

∵                      F = ma

∴                      a₁ = F/m

                         a₁ = 15/ 3

                        a₁ = 5 m/s²

#For mass m₂, we have:

                    Force, f = 15 N

                  Mass, m₂ = 5 kg

∵                      F = ma

∴                      a₂ = F/m

                         a₂ = 15/5

                        a₂ = 3 m/s²

So, the finding the ratio of acceleration:

                       a₁/ a₂ = 5/3

Hence, the ratio of acceleration (a₁/ a₂) is 5/3.