An unlouded truck weighing 2000kg has a maximum acceleration of 5m/s2. What is the maximum acceleration when it is carrying a load of 2000kg?
Answers
Given :-
◉ An unloaded truck of mass, m = 2000 kg moves with a maximum acceleration of a = 5 m/s²
To Find :-
◉ Maximum acceleration when it is carrying a load of 2000 Kg
Solution :-
Now the force applied by the truck would be constant in both the cases. So, First, let us find the force applied by the truck while moving unloaded.
We know,
⇒ Force = Mass × Acceleration
⇒ Force = m × a
⇒ Force = 2000 × 5
⇒ Force = 10000 N ...(1)
Now, While moving loaded with a load of 2000 Kg, the mass of the truck-load system would become, m + 2000 ⇒ 4000 Kg
Since the force applied by the truck is 10000N , Let us find the maximum acceleration produced:
⇒ Force = Mass × Acceleration
⇒ 10000 = 4000 × A
⇒ A = 10000/4000
⇒ A = 10/4
∴ Acceleration produced = 2.5 m/s²
Some Information :-
◉ Force = Mass × Acceleration
It also equals to rate of change of momentum.
◉ Momentum of a body = Mass × Velocity
Momentum of a system or body is conserved.
Explanation:
momentum body = mass × x
force= mass +acceleration
thus, momentum or body is conserved
anser = 2.5 mrtere square