6/y + 1/4 = 5/(4y)
(6*4)/(4*y) + (1*y)/(4*y) = 5/(4y)
24/(4y) + y/(4y) = 5/(4y)
4y≠0 <-->y≠0
24+y=5
y = 5-24
y = -19
Answer:
a) a = 3.53 m/sec²
b ) As force in the sense of movement is bigger than Fr (that is m*g*sin21 > Fr ) the car will slide down.
c) β = 11⁰
Step-by-step explanation: We must start calculating the angle of the road.
37% means that inclination is such that for 100 m of horizontal distance we will be up the path a 37 m, then tan α = 0.37 and α = 21⁰
a) According to Newtons second law
∑ Fx = ma ⇒ if only gravity is acting
m*g* sinα = ma ⇒ 1000 Kg*9.8 m/sec² *sin 21° = 1000 Kg*a
9.8 * 0,36 = a ⇒ a = 3.53 m/sec²
b) Fr = μ*Fn
∑ Fy = 0
m*g*cos21° - Fn = 0 Fn = 1000*9.8*cos21° Fn = 9143.4 [N]
Then Fr = 9143.4 * 0,3 ⇒ Fr = 2743.02 [N]
And
m*g*sinα = m*g*sin21⁰ = 1000* 9.8* 0.36 = 3528 [N]
As force in the sense of movement is bigger than Fr (that is m*g*sin21 > Fr ) the car will road down.
c) If μk = 0.2
m*g*sinβ = 9800* sinβ - 9143.4*0.2 = 0
sinβ = 1828.68/9800 ⇒ sinβ = 0.1866 ⇒ β = 11⁰
K=J-5 Because kim is 5 years younger than joy.
Answer:
$225
Step-by-step explanation:
mark rate = 80%
original price = $125
mark amount = 80% of $125
=80/100 *125
=10000/100
=$100
final price = $125 + $100
=$225