What is descriminant in math
1 answer:
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Answer:
i. The velocity ratio of the plane is 4.
ii. The mechanical advantage of the plane is 3.
Explanation:
i. The velocity ratio (VR) of an inclined plane is ratio of its length to the height. It is given as;
VR = =
Given: l = 12 m, L = 600 N, E = 200 N, h = 3 m.
So that,
VR =
= 4
The velocity ratio of the plane is 4.
ii. Mechanical advantage (MA) expresses the relationship between the load overcome to effort applied.
MA = =
=
= 3
The mechanical advantage of the plane is 3.
Therefore, the velocity ratio of the inclined plane is 4, and its mechanical advantage is 3.
Answer:
a) t = 19.6 s, b) fr = 1.274 10⁴ N
Explanation:
This is a Newton's second law problem
Y Axis
for the cabin
N₁-W₁ = 0
N₁ = W₁
for the trailer
N₂- W₂ = 0
N₂ = W₂
X axis
for the cabin plus trailer, where friction is only in the cabin
fr = (m₁ + m₂) a
the friction force equation is
fr = μ N
we substitute
μ N₁ = (m₁ + m₂) a
μ m₁ g = (m₁ + m₂) a
a = μ g
let's calculate
a = 0.65 9.8
a = 1,274 m / s²
a) to find the stopping distance we can use kinematics
Let's slow down the sI system
v₀ = 90 km / h (1000 m / 1km) (1h / 3600s) = 25 m / s
v = v₀ - a t
when it is stopped its speed is zero
0 = v₀ - at
t = v₀ / a
t = 25 / 1.274
t = 19.6 s
b) the friction force is
fr = 0.65 2000 9.8
fr = 1.274 10⁴ N
This is the braking force and also the forces that couple the cars.