The functions of angles are used to find unknown lengths or angles that can't be measured, in terms of known quantities. The trig functions of angles are ratios of lengths, so they're bare naked numbers without units.
Answer:
t = 3.29 seconds
Explanation:
It is given that,
Height of the Eiffel tower is 60 m
Initial speed of a euro, u = 2 m/s
It will move under the action of gravity in the downward direction. Firstly, we can find the final velocity as follows :
Let t is the time taken by the euro to hit the ground. It can be calculated as :
Hence, it will take 3.29 seconds to hit the ground.
The breaking distance consists of two parts. The first part is the first 0.5 seconds were no breaking occurs. Given values: t time, v₀ initial velocity:
x₁ = v₀*t
The second part occurs after t = 0,5s with the given acceleration: a = - 12 m/s²
were the final velocity is zero, v = 0 and the initial velocity v₀= 16m/s:
v = a*t + v₀ = 0 => v₀ = -a*t => t = v₀/-a
x₂ = 0.5*a*t² = 0.5*v°²/a
The total breaking distance is the sum of the two parts:
x = x₁ + x₂ = v₀* t + 0.5 * v₀² / a = 16 * 0.5 + 0.5 * 16² / 12 = 8 + 10,7 = 18,7
You can use this result to calculate the remaining distance. You can use the last equation to calculate the maximum speed you could have to avoid a collision.
Use x = 39m and solve for v₀.
Answer:
366 m
Explanation:
u = 90 km/h = 25 m/s,
theta = 5 degree
acceleration, a = g Sin theta = 9.8 x Sin 5 = 0.854 m/s^2
The final velocity os zero and let the braking distance be s.
Use third equation of motion
v^2 = u^2 - 2 a s
0 = 25 x 25 - 2 x 0.854 x s
s = 366 m
Answer: 38.2 μC
Explanation: In order to solve this problem we have to use the relationship for a two plate capacitor with a dielectric so:
C= Q/V= we also know that for two paralel plates C=εo*k*A/d and V=E/d
where k is the dielectric constant, A plate area, V is potential difference; E electric field and d the separation between the plates.
reorganizing we have:
Q/A=σ= E*k/εo= 1.2 * 10^6*3.6/8.85 * 10^-12=38.2μC
