Answer:
x = A sin ω t describes the displacement of the particle
v = A ω cos ω t
a = -A ω^2 sin ω t
a (max) = -A ω^2 is the max acceleration (- can be ignored here)
ω = (K/ m)^1/2 for SHM
F = - K x^2 restoring force of spring
K = 4.34 / .0745^2 = 782 N / m
ω = (782 / .297)^1/2 = 51.3 / sec
a (max) = .0745 * 782 / .297 = 196 m / s^2
plane is flying at an altitude of 70 m
now if an object is dropped from it then time taken by object to drop on ground will be given as

here initial speed in vertical direction must be zero as plane is moving horizontal
given that
y = 70 m
a = 9.8 m/s^2


now since the plane is moving horizontally with speed v = 44 m/s
so the horizontal distance moved by the object will be



so the distance moved by the box is 166.3 m
To be able to answer this item, we are to calculate the power that the machine could deliver from hp to kW.
(45 hp)(746 W/1 hp) = 33570 W
Power is the amount of energy delivered at a certain period.
t = (6.20 x 10^2 J)/ (33570 kJ/s)
t = 0.01845 s
Answer:
Nature selects organisms with specific heritable traits to survive and reproduce
Explanation:
The Evolution Theory by natural selection dictates that organisms with specific inherited characteristics have better survival chances in the new environment.
Inheriting positive traits such as resistance to a certain disease will improve the survival chances of the organism to enable it reproduce and pass that gene to the next generation.