Question

force produces an acceleration of 5m/s² when applied to a body of mass 2kg. What

acceleration can the same force produce when applied to a body of mass 8kg​

Answer 1

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

Answer 2

Answer:

Force produces an acceleration of 5m/s² when applied to a body of mass 2kg. Acceleration required to produce the same force when applied to a body of mass 8kg​ will be  $2.5\ m/s^{2}$

Explanation:

According to Newton's second law, the force applied will be equivalent to the product of the mass and acceleration.

Or,

$Force (F) = mass(m)\times acceleration(a)$ ...(1)

In the question, it is given that,

$m = 4\ kg$

$a = 5\ m / s^{2}$

Substitute these values into the above equation,

$F = 5\times 4 = 20 \ N$

Then we have to find out the acceleration required to produce this same force when applied on a mass of 8kg.

$m = 8\ kg$        $F = 20\ N$

Using equation (1)

Acceleration, $a = \frac{F}{m}$

$a = \frac{20}{8} = 2.5 \ m/s^{2}$