Answer:
Rₓ - F cos θ = 0 , R_y - Fsin θ - W = 0
Explanation:
For this exercise we have a static equilibrium problem,
∑ F =0
In the attachment we have the forces involved, the weight (W) with vertical direction, the force towards the mask (F) and the reaction force of the ear that we will approximate by its vertical and horizontal components (Rₓ and R_y)
Let's use trigonometry to decompose the force F
sin θ = Fₓ / F
cos θ = F_y / F
Fₓ = F sin θ
F_y = F cos θ
we write the equations of equilibrium
X axis
Rₓ - F cos θ = 0
Y axis
R_y - Fsin θ - W = 0
Answer:
€0.98 per liter = 4.377 doller per gallon
Explanation:
It is given that, In Europe, gas cost approximately €0.98 per liter. We need to convert it into dollars($) per gallon.
We know that, 1 euro = 1.18 United States Dollar
1 litre = 0.264172 US gallon
Cost of gas in Europe is €0.98 per liter.
Answer:
s = 20 m
Explanation:
given,
mass of the roller blader = 60 Kg
length = 10 m
inclines at = 30°
coefficient of friction = 0.25
using conservation of energy
u = 9.89 m/s
Using second law of motion
ma =μ mg
a = μ g
a = 0.25 x 9.8
a = 2.45 m/s²
Using third equation of motion ,
v² - u² = 2 a s
0² - 9.89² = 2 x 2.45 x s
s = 20 m
the distance moved before stopping is 20 m