Answer:
Explanation:
The standard form of the 2nd order differential equation governing the motion of mass-spring system is given by
Where m is the mass, ζ is the damping constant, and k is the spring constant.
The spring constant k can be found by
The damping constant can be found by
Finally, the mass m can be found by
Where g is approximately 32 ft/s²
Therefore, the required differential equation is
The initial position is
The initial velocity is
<span>Matter of all types have gravity, which causes it to attract to each other. The most efficient way for all this matter to congregate is the sphere. As they consolidate, they form the shape. As they compress, temperatures in the center of the mass start to go up and if it hits the proper point, it can ignite and become a star.</span>
Answer:
The decrease of these factors increases the acceleration.
Explanation:
Hi, the decrease of these factors increases the acceleration.
Air resistance is a force opposing the acceleration. So if it decreases, the acceleration increases, because the opposite forces decreases.
The same is applied to the force of gravity, since the rocket travels upward; gravity is also an opposite force.
Finally, if the mass decreases, it means that the rocket becomes lighter and the force acting on the smaller mass causes an increase in the acceleration.
D, it is considered unethical today
Answer:
Force is 432.94 N along the rebound direction of ball.
Explanation:
Force is rate of change of momentum.
Final momentum = 0.38 x -1.70 = -0.646 kgm/s
Initial momentum = 0.38 x 2.20 = 0.836 kgm/s
Change in momentum = -0.646 - 0.836 = -1.472 kgm/s
Time = 3.40 x 10⁻³ s
Force is 432.94 N along the rebound direction of ball.
