Use Newton's second law of motion to calculate the mass of an object when a force of 34 N accelerates the object 4 m/s^2.
Answers
Answer:
F=ma
34=m4
m=34/4
m=17/2
m=8.5 is the answer of this question OK
The mass of an object using Newton's second law of motion is 8.5 kg
Given: The force acting on the object = 34 N,
The acceleration of the object = 4 m/s².
To Find: The mass of an object using Newton's second law of motion.
Solution:
- Newton's second law of motion states that,
Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.
- The second law of motion can be represented by the formula,
F = m × a ...(1)
where F = force, m = mass, a = acceleration.
Coming to the numerical, we are given,
F = 34 N and a = 4 m/s².
So, putting respective values in (1), we get;
F = m × a
⇒ m = F / a
⇒ m = 34 / 4
⇒ m = 8.5 kg
Hence,
The mass of an object using Newton's second law of motion is 8.5 kg.
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