<span>The first response would be "deca," since this is a multiple of 10^1. B, since it's working off the thousands prefix (10^3), would be "kilo." The third, at 10^-6, would be "micro." Next, at 10^-9, would be "nano," and the final, 10^18, would have a prefix of "exa."</span>
Given:
k = 100 lb/ft, m = 1 lb / (32.2 ft/s) = 0.03106 slugs
Solution:
F = -kx
mx" = -kx
x" + (k/m)x = 0
characteristic equation:
r^2 + k/m = 0
r = i*sqrt(k/m)
x = Asin(sqrt(k/m)t) + Bcos(sqrt(k/m)t)
ω = sqrt(k/m)
2π/T = sqrt(k/m)
T = 2π*sqrt(m/k)
T = 2π*sqrt(0.03106 slugs / 100 lb/ft)
T = 0.1107 s (period)
x(0) = 1/12 ft = 0.08333 ft
x'(0) = 0
1/12 = Asin(0) + Bcos(0)
B = 1/12 = 0.08333 ft
x' = Aω*cos(ωt) - Bω*sin(ωt)
0 = Aω*cos(0) - (1/12)ω*sin(0)
0 = Aω
A = 0
So B would be the amplitude. Therefore, the equation of motion would be x
= 0.08333*cos[(2π/0.1107)t]
Answer:
The second step of the scientific method is the question being researched, the hypothesis. ... This hypothesis includes the explanation for the observation, it can be tested, and new conclusions may be reached. The third step of the scientific method is the experiment.
Explanation:
(2)(3)(2)=12⇒ D=M/V ⇒ D=94/12=7.8333(repeated) g/m³
Answer:
The minimum time of flight for the ball is 16.38 s
Explanation:
Projectile Motion: When we throw an object which make an angle with horizontal and only one acceleration which work on that object that is acceleration due to gravity. This type of motion is known as projectile motion.
Range: The distance is covered horizontally by the object is known as Range of the object.
u = initial velocity= 200m/s
g = acceleration due to gravity = 9.8m/s²
θ= angle
R= range = 3.0 km= 3000 m
⇒θ= 23.65°
Flight time
s
The minimum time of flight for the ball is 16.38 s