If mass of a body is doubled while keeping the force constant then what would happen to acceleration? Plz answer this.
Answers
Answer:
the acceleration will be doubled
Explanation:
Given,
The mass of a body is doubled while keeping the force constant.
To find,
The change in the acceleration.
Solution,
We can simply solve this numerical problem by using the following process:
Mathematically,
Force acting (F)
= Mass of the object (m) x acceleration (a)
{Equation 1}
Let us assume that the initial conditions be;
Force = F
The initial mass of the body = m
Initial acceleration = a
Now, according to the question, the changed conditions are;
Final force = F
The final mass of the body = 2m
Final acceleration = A
Now, according to the question;
Force acting in initial conditions = force acting in changed conditions
=> (initial mass)×(initial acceleration) = (final mass)×(final acceleration)
{according to the equation-1}
=> m×a = 2m×A
=> A=a/2
=> the changed acceleration will the half of the initial
Hence, the changed acceleration will the half of the initial.