An object is accelerating at 2 m/s2. If the net force is tripled and the mass is doubled, then what is the new acceleration?
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Let the mass and Force applied be m and F respectively.
According to the question,
- Case 1
Given that,
⇒ Acceleration = 2 m/s²
⇒ F / m = 2 m/s² ...(1) [ ∵ F = m a ]
- Case 2
Force is tripled and mass is doubled.
Mass = 2m
Force = 3F
⇒ Acceleration = Force / Mass
⇒ Acceleration = 3F / 2m ...(2)
Dividing (1) by (2), we get
⇒ ( F/m ) / ( 3F/2m ) = 2/k
Where, k = new Acceleration
⇒ 2/3 = 2/k
⇒ k = 3
Hence, The new acceleration is 3 m/s²
Some Information :-
☛ Force = mass × acceleration
☛ Mass is quantity of matter, While Acceleration is the rate of change of velocity per unit time.
Answered by
1
Answer:
acceleration would 3m per second square mate
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