Answer:
y(i) = h
v(y.i) = 0
Explanation:
See attachment for elaboration
Rotten fruit can be consumed by decomposers.
Answer:
The equation of motion is
Explanation:
Lets calculate
The weight attached to the spring is 24 pounds
Acceleration due to gravity is
Assume x , is spring stretched length is ,4 inches
Converting the length inches into feet
The weight (W=mg) is balanced by restoring force ks at equilibrium position
mg=kx
⇒
The spring constant ,
= 72
If the mass is displaced from its equilibrium position by an amount x, then the differential equation is
Auxiliary equation is,
=
Thus , the solution is
The mass is released from the rest x'(0) = 0
=0
Therefore ,
Since , the mass is released from the rest from 4 inches
inches
feet
feet
Therefore , the equation of motion is
Answer: The spring constant is K=392.4N/m
Explanation:
According to hook's law the applied force F will be directly proportional to the extension e produced provided the spring is not distorted
The force F=ke
Where k=spring constant
e= Extention produced
h=2m
Given that
e=20cm to meter 20/100= 0.2m
m=100g to kg m=100/1000= 0.1kg
But F=mg
Ignoring air resistance
assuming g=9.81m/s²
Since the compression causes the plastic ball to poses potential energy hence energy stored in the spring
E=1/2ke²=mgh
Substituting our values to find k
First we make k subject of formula
k=2mgh/e²
k=2*0.1*9.81*2/0.1²
K=3.921/0.01
K=392.4N/m