Question

There are (one can say) three coequal theories of motion for a single particle: Newton's second law, stating that the total force on the particle causes its acceleration; the work-kinetic energy theorem, stating that the total work on the particle causes its change in kinetic energy; and (iii) the impulse-momentum theorem, stating that the total impulse on the particle causes its change in momentum. In this problem, you compare predictions of the three theories in one particular case. A 3.00-kg object has an initial velocity 7.00j m/s (at t = 0s). Then, a constant net force 12.0i N acts on the object for 5.00 s. Calculate its acceleration from a= Σf/m²

Answer 1

To calculate the acceleration of the 3.00-kg object, we can use Newton's second law of motion by calculating the net force acting on the object and dividing it by its mass.

Step-by-step explanation:

To calculate the acceleration of the 3.00-kg object, we can use Newton's second law of motion. According to this law, the net force acting on an object is equal to the product of its mass and acceleration. In this case, the net force is given as 12.0i N and the mass is 3.00 kg. So, we can use the equation Fnet = ma to find the acceleration.

Substituting the given values into the equation, we have:

12.0i N = 3.00 kg × a

Dividing both sides of the equation by 3.00 kg, we get:

a = 12.0i N / 3.00 kg

Therefore, the acceleration of the object is 4.00i m/s2.

Learn more about Newton's second law of motion