When certain a force is applied to a 2kg standard mass, its acceleration is 5m/s^2.When the same force is applied to another object its aceleration is 2m/s^2. The mas of the objects is:

From the first bit of information, the force is

F = m a = 10 Newtons

For the second object, using the same force, the slower acceleration tells you that the mass M must be

M = F/a = 10/2 = 5 kg

To determine the mass of the objects, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).

Let's set up two equations, one for each object, using the given information:

For the first object:
Force = mass * acceleration
F = 2kg * 5m/s^2
F = 10N

For the second object:
Force = mass * acceleration
F = mass * 2m/s^2
F = 10N

Since the force applied is the same in both cases (10N), we can equate the two equations:

10N = 2kg * 5m/s^2

Simplifying the equation:

10N = 10kg*m/s^2

Dividing both sides by 10m/s^2:

1N = 1kg

Therefore, we can conclude that both objects have a mass of 2kg.