Question

what is the force acting on 2kg mass which is produced an acceleration of 5m/s square if the same force act on 5kg of mass what will be the acceleration produce ? also find the acceleration when two masses are tied together​

Answer 1

Answer:

Force applied on 2kg mass and 5 kg mass is 10 N and the acceleration produced by the 5 kg mass if the same Force acts on it, is 2 m/s square.

Step-by-step explanation:

Given,

For 1st object

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m1= 2 kg

a1= 5 m/s

F=?(To find)

Force,

F=m1×a1

F=2 kg× 5m/s

F= 10 N

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For 2nd object

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Same Force (F) is applied

i.e. F= 10 N

m2= 5 kg

a2=?(to find)

Force,

F=m2×a2

10 N= 5kg × a

a= 10/5

a= 2 m/s squared.

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Answer 2

Answer:

• The force acting on 2kg mass which is produced an acceleration of 5m/s square will be $10 N$.

• If the mass is $5 kg$, the acceleration produced will be 2m/$s^{2}$.

• If the masses are tied together, the acceleration produced will be $1.42857\ m/s^{2}$

Step-by-step explanation:

According to Newton's second law of motion, force (F) applied will be the product of mass(m) and acceleration (a).

It can be expressed as,

$F = ma$   ...(1)

For the first case,

given,

$m = 2\ kg$

$v = 5\ m/s$

Then using equation (1),

$F= 2\times 5= 10 \ N$

For the second object,

$F = 10\ N$

$m = 5\ kg$

By rearranging equation (1),

$a = \frac{F}{m}$      ...(2)

Substitute  values,

$a = \frac{10}{5} = 2\ m/s^{2}$

If the two masses are tied,

The total mass, m = $5+2 = 7\ kg$

$F = 10\ N$

Consider equation (2) and substitute the values,

$a = \frac{10}{7} = 1.42857\ m/s^{2}$