A force of 4 N produces an acceleration of 8 m/s^2 on a mass m1 and an acceleration of 16 m/s^2 on a mass m2. What acceleration in m/s^2 would the same force provide if both the masses are tied together?
4
5.33
24
6
Answers
Answer:
THE ANSWER IS 5.33
Explanation:
mass(1) = F/a1
= 4/8
= 0.5kg
mass(2) = F/a2
= 4/16
= 0.25kg
MASS = Mass(1)+Mass(2)
= 0.5+0.25
= 0.75kg.
ACCELERATION = F/M
= 4/0.75
=5.333....
...HOPE THIS HELPS U...
★Solution:-
As per the given question ,
- Force (F)= 4 N
- Acceleration (a1) = 8 m/s²
- Acceleration (a2) = 16 m/s²
We need to find the acceleration when both the masses m1 and m2 are tied together in order to do that first we need to find the value of m1 and m2
By using Newton's second law of motion ,
➽ F = m1 x a 1
➽ m1 = F / a 1
➽ m1 = 4 / 8
➽ m1 = 0.5 kg
Similarly ,
➽ F = m2 x a 2
➽ m2 = F / a 2
➽ m1 = 4 / 16
➽ m1 = 0.25 kg
Total mass(m) = m1 + m2 = 0.5 + 0.25 = 0.75 kg
Force = 4N
By using Newton's second law of motion ,
➽ F = m x a
➽ a = F / m
➽ a= 4 / 0.75
➽ a = 5.33 m/s²
The acceleration of the system is 5.33 m/s²