The acceleration of two objects are 5m/s2 and 20m/s2. If mass of both the object would be combined and a force of 50N would be applied on them, what will be their acceleration?
Answers
Answer:
a = 4ms⁻²
Explanation:
Given informations:-
F = 50 N
a₁ = 5ms⁻²
a₂ = 20ms⁻²
F=m*a
For 1st object:
50 N = m₁ * 5ms⁻²
m₁=50 / 5 = 10Kg.
For 2nd object:
50 N = m₂ * 20ms⁻²
m₂ = 50 / 20 = 2.5 Kg.
Total mass (M)= m₁+m₂ = 10 + 2.5 = 12.5 Kg.
Acceleration after combination:
F = M*a
a = F / M
a = 50 / 12.5 = 4ms⁻².
I hope my answer really helped you.
Answer :
The acceleration of the combined masses with 50 N of force applied on them is 4 m/s².
Formula using :
Force = acceleration x mass
To find the net acceleration, we need to find out the mass of each object.
Remainder :
Units of Force is Newton N; which can be eloboratively written as kg m/s². It will help you in deciding the units of the unknown value.
Finding the mass of object 1 :
Given, acceleration of 1st object is 5 m/s².
Force applied = 50 N
As, Force = Acceleration x Mass
Mass = Force / Acceleration = 50 N / 5 m/s² = 10 kg
Therefore, mass of the 1st object is 10 kg.
Finding the mass of object 2 :
Given, acceleration of 2nd object is 20 m/s².
Force applied = 50 N
As, Force = Acceleration x Mass
Mass = Force / Acceleration = 50 N / 20 m/s² = 2.5 kg
Therefore, mass of the 2nd object is 2.5 kg.
So, the total net mass will be 10 + 2.5 = 12.5 kg.
Finding the acceleration of them when the masses are combined with 50N force applied on them :
Net mass = 12.5 kg
Force applied = 50 N
As, Force = Acceleration x Mass
Acceleration = Force / Mass = 50 N / 12.5 kg = 4 m/s²
Therefore, the acceleration of the combined mass is 4 m/s².
Hope it helps. If yes, leave a smile. :)