Question

a force produces an acceleration of 5m/s in a body of mass 5kg. if the same force acts on a body of mass of 10 kg then the acceleration produced will be

Answer 1

Answer:

F = 10 N, m = 5 kg

Putting the values in F=m×a

10=5×a

a=2m/s

2

Answer 2

Answer:

• The force produced by an acceleration of 5m/s in a body of mass 5kg will be $25\ N$

• If the same force acts on a body of mass of 10 kg then the acceleration produced will be $2.5 \ m/s^{2}$

Step-by-step explanation:

If 'm' is the mass of the object and 'v' is the velocity, then

According to Newton's second law of motion,

Force applied (F) will be the product of mass and acceleration.

Or,

$F = ma$   ...(1)

From the question,

$m = 5\ kg$

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

Substitute these values into the above equation,

$F = 5\times 5 = 25\ N$

If the same force act on another mass,

$m = 10 \ kg$        $F = 25\ N$

The formula for calculating acceleration can be obtained by rearranging equation (1)

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

  $= \frac{25}{10} = 2.5\ m/s^{2}$