19.9k views
1 vote
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 64 N acts on a certain object, the acceleration of the object is 8 /ms2. If the acceleration of the object becomes 5 /ms2, what is the force? n=

1 Answer

3 votes
Step-by-step explanation

From Newton's Law, we know that the force is given by:


F=M\cdot a.

Where M is the mass object and a is the acceleration.

From the statement, we know that for a force F = 64 N, we have an acceleration a = 8 m/s², replacing this data in the equation above, we have:


64N=M\cdot8\text{ }m/s^2.

Solving for m, we get:


M=\frac{64N}{8\text{ }m/s^2}=8kg.

Where we have used the fact that N = kg m/s².

Now, using the value M = 8 kg, for an acceleration a' = 5 m/s², we have a force:


F^(\prime)=M\cdot a^(\prime)=8kg\cdot5m/s^2.=40N.Answer

The new value of the force is 40 N.

User Neeraj Bansal
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories