A force F produces an acceleration a on an object of mass m. A force 3F is exerted on a second object, and an acceleration 8a re sults. What is the mass of the second object in terms of m? a. 3m
b. 9m
c. 24m
d. (3/8)m
e. (8/3)m
1 answer:
To solve this problem we will proceed to use Newton's second law for which the mass (m) multiplied by the acceleration (a) is defined as the Force (F) applied on a body, mathematically that is,
According to the statement for the first object, the acceleration is,
For the second object the acceleration is,
Solving for the mass of the second object,
Therefore the correct answer is D.
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