Aforce of 15 newtons is applied to both object a with a mass of 25 kilograms and object b with a mass of 50 kilograms. what is true about the
acceleration of object a and object b?

Acceleration of Object A = 0.6 m/s²

Acceleration of Object B = 0.3 m/s²

Acceleration of Object A is double than the acceleration of Object B.

Explanation:

According to the Newton's 2nd law of motion, Acceleration of an object by a net force is directly proportional to the magnitude of that net force and in the direction of that net force and inversely proportional to the mass of the object

Mathematically

                   F ∝ a

                   F = ma

Given data:

                 F = 15 N

                 m₁ = 25 kg

                 m₂ = 50 kg

                 F = m₁a₁

                 a₁ = F/m₁

                 a₁ = 15/25

                 a₁ = 0.6 m/s²

                 F = m₂a₂

                 a₂ = F/m₂

                 a₂ = 15/50

                 a₂ = 0.3 m/s²

It can be seen that acceleration of Object A is double than the acceleration of Object B.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s