Answer:
Mechanical energy, U = 0.247 Joules
Explanation:
Given that,
Spring constant of the spring, k = 234 N/m
Mass, m = 524 g = 0.524 kg
Amplitude, A = 4.6 cm = 0.046 m
To find,
The mechanical energy of the system.
Solution,
We know that the sum of kinetic energy and the potential energy is equal to its mechanical energy. In mass-spring system, it is given by :
U = 0.247 Joules
So, the mechanical energy of the system is 0.247 Joules.
Answer:
The acceleration required by the rocket in order to have a zero speed on touchdown is 19.96m/s²
The rocket's motion for analysis sake is divided into two phases.
Phase 1: the free fall motion of the rocket from the height 2.59*102m to a height 86.9m
Phase 2: the motion of the rocket due to the acceleration of the rocket also from the height 86.9m to the point of touchdown y = 0m.
Explanation:
The initial velocity of the rocket is 0m/s when it started falling from rest under free fall. g = 9.8m/s² t1 is the time taken for phase 1 and t2 is the time taken for phase2.
The final velocity under free fall becomes the initial velocity for the accelerated motion of the rocket in phase 2 and the final velocity or speed in phase 2 is equal to zero.
The detailed step by step solution to the problems can be found in the attachment below.
Thank you and I hope this solution is helpful to you. Good luck.
