Question

a force produces an acceleration of 10.5 ms-2 in a body of mass 5kg if the same force acts on a body of mass 2.5kg how much acceleration will be produced in it​

Answer 1

Answer:

We, know that F=ma

F=0.5×10=5N

Now, mass = 5kg

F=ma

a=

m

f

⇒a=

5

5

=1m/s

2

Answer 2

Answer:

• The force produced by an acceleration of $10.5m/s^{2}$ in a body of mass 5kg will be $52.5 N$

• If the same force acts on a body of mass of 2.5kg, acceleration produced in it​ will be $21m/s^{2}$

Explanation:

Let 'm' be the mass of the object and 'v' be the velocity, then

According to Newton's second law of motion,

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

Or it can be expressed as,

$F = ma$   ...(1)

From the question,

$m = 5\ kg$

$a = 10.5\ m/s^{2}$

Substitute these values into the above equation,

$F = 5\times 10.5 = 52.5\ N$

If the same force act on another mass,

$m = 2.5 \ kg$        $F = 52.5\ N$

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

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

  $= \frac{52.5}{2.5} = 21\ m/s^{2}$