1.

Two rubber bands stretched to the standard length cause an object to accelerate at 2m/s². Suppose another object with twice the mass is pulled by four rubber bands stretched to the standard length. What is the acceleration of the second object? (Ans:2m/s²)

Answer»

Hi,

Answer :2m/s²

➡️Solution:

The FORCE is DOUBLE and mass too is double,so cancels each other,and acceleration remain unchanged.

Proof:
➖➖➖

Let the force APPLIED by two rubber bands is k Newton, mass of OBJECT be m kg.

F1 = m1a1

a1 = F1/m1


a1 = k/m ..........eq1

Now, the force applied by four rubber bands would be 2K Newton.

Here mass too is twice i.e. 2m kg.

F2 = m2a2

a2 = F2/m2

a2 = 2k/2m =x/m .... eq2

a1 = a2
➖➖➖
from both equation we get that in both the

condition acceleration is same.

so in the condition of 2 rubber band the

acceleration is 2m/s²

then for the condition of four rubber band and

twice the mass,the acceleration must be 2m/s².

hope you understand it well.


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