Question

An object has an acceleration of 6.0 m/s/s. If the mass of this object were tripled (with no change in its net force), then its new acceleration would be m/s/s

Answer 1

GIVEN:-

BEFORE CHANGING THE MASS

The acceleration of an object = 6m/s^2

Let the mass of the object = M

Force applied = F

AFTER CHANGING THE MASS

New mass of the object = 3M

Force applied = F

Both the objects have applied with same force.

TO FIND:-

The acceleration of the Object B.

FORMULA TO BE USED:-

FORCE = MASS × ACCELERATION

SOLUTION :-

Let 'a' be the new acceleration.

We know that

Force = Mass × Acceleration

For case 1 :

F = M × 6 = 6M Newton .... (eqn.01)

For Case 2:

F = 3M × a

Putting value of F from equation 01:

6M = 3M × a

=> 6M = 3aM

=> 6(M) = 3a(M)

=> 6 = 3a

=> a = 2m/s^2 (Answer)

Therefore the acceleration of the body is 2m/s^2.

SOME MORE INFORMATION:

Force is a vector quantity which depends on the magnitude, direction, line of action, mass of the body and velocity of the body. Structure of the body also affects the force.

Force is directly proportional to the mass and acceleration. If a body has no acceleration, it's force will be zero. Hence the body moving with uniform velocity has no external force. Example : The gravitational force of Sun and all other planets makes the solar system stable.

Answer 2

Answer: ur required answer ;-

BEFORE CHANGING THE MASS OF OBJECT ;-

the acceleration of the the object = 6m/sec²

let the mass of the object = M

force applied on object = F

AFTER CHANGING THE MASS OF OBJECT ;-

new mass of the object = 3M

force applied = F

As , we know the both object experience same force

FIND = the acceleration of object B

force = mass × acceleration

SOLUTION ;-

let a be the new acceleration .

as , we know force = mass × acceleration

in case 1

F = M × 6 = 6M Newton ............... ( equation 1)

in case 2

F = 3M × a =  

now , putting the value of F equation 1

6M = 3aM

6(M)= 3a (M)

6 = 3 a

a = 2 m / sec² .

therefore , the acceleration of the object is 2m/sec²

Explanation: hope this will help u mate , need feedback plz

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