Answer:
K = 25351. 69 N / m
Explanation:
Given : Fk = 515 N , v = 1.8 m /s , d = 5.0 m , β = 22.0 ° , m = 150 kg
Using the work done by all forces at initial and the end can determine the constant of the spring
Ws + We - Fk = Em - Ef
- ¹/₂ * K * x² + m*g*h - F*d = 0 - ¹/₂ * m * v²
Also the round motion part
K* x = F + We
K * x = F + m*g*h
Replacing numeric to equal the equations and find the constant
¹/₂ * K * x² = 150*9.8* 5* sin (22°) - 5150* 5 + ¹/₂*150*(1.8m/s)²
K * x² = 421.358
Now use the other equation
K * x = 515 + 150*9.8* sin(22°)
K * x = 3268.35
Both equation give x' as a
x = 0.1289 m now using in any equation can find K
K = 25351. 69 N / m
Answer:
A person would look like an ant if a human was standing next to Venus
Explanation:
Answer:
t = 22.2 s
Explanation:
angular distance covered in the 36.0 s is
θ = ω(avg)t = ½(10.0 + 30.0)36 = 720 radians
720/2 = 360 radians
α = Δω/t = (30 - 10)/36 = 5/9 rad/s²
θ = ω₀t + ½αt²
360 = 10.0t + ½(5/9)t²
0 = (5/18)t² + 10.0t - 360
0 = t² + 36t - 1296
t = (-36 ±√(36² - 4(1)(-1296))) / 2
t = (-36 ±√(6480)) / 2
t = -18 ±√1620
we ignore the negative time result as it occurs before we care.
t = -18 + √1620 = 22.249223... s
Answer 41.7 years old
I answer this question already and it was correct!