Answer:
a) S = v₀² / 4 g sin θ
Explanation:
Let's apply Newton's second law, let's take a coordinate system with an axis parallel to the plane and the other perpendicular, in this case the only force that we have to decompose the weight (W)
Wx = W sin θ
Wy = W cos θ
First case. Body slides down
X axis
Wx-fr = 0
Axis y
N -Wy = 0
N = Wy
fr = Wx = W sint θ
Miu N = W sint θ
Miu W cos θ = Wsin θ
Miu = tan θ
Second case. Body raises the plane
X axis
Wx + Fr = m a
Axis y
N-Wy = 0
let's find the acceleration of the body going up
a = (Wx + fr) / m
fr = μ N = μ Wy
fr = μ mg cos θ
a = (mg sin θ + μ mg cos θ) / m
a = g (sin θ + μ cos θ)
a = g (sin θ + tan θ cos θ)
a = g (sin θ + sin θ)
a = g 2 sin 2
With the kinematic equation we find the distance that goes up, at the highest point the zero speed (vf = 0)
Vf² = v₀² - 2 a t S
0 = v₀² -2a S
S = v₀² / 2 a
S = v₀² / 2 (g 2sin θ)
S = v₀² / 4 g sin θ
b) in this case the block tries to slide down whereby the friction force opposes this movement
Wx- fr =, m a
mg sin θ - μ mg cos θ = m a
g (sin θ - μ cos θ) = a
a = g 2 sin θ
so that the body slides depends on the angle T for angles close to zero the body does not slide
From 50km/h to 0km/h in 0.5s we need next acceleration:
First we convert km/h in m/s:
50km/h = 50*1000/3600=13.8888 m/s
a = v/t = 13.88888/0.5 = 27.77777 m/s^2
Now we use Newton's law:
F=m*a
F=1700*27.7777 = 47222N
<span>A mechanical wave is a wave that is not capable of transmitting its energy through a vacuum. Mechanical waves require a medium in order to transport their energy from one location to another. A sound wave is an example of a mechanical wave.</span>
The unit vectors along the three co-ordinate axes are described as. i > j > k > 1. is D. i = j = k = 1
<h3> </h3><h3>What is the unit vector along the vector?</h3>
A vector that has a volume of 1 is a unit vector. It is also known as a direction vector because it is generally used to denote the direction of a vector. The vectors i, j, k, stand the unit vectors along the x-axis, y-axis, and z-axis respectively.
<h3>What is the unit vector along y-axis?</h3>
There are three essential unit vectors which are commonly employed and these are the vectors in the direction of the x, y and z-axes. The unit vector in the direction of the x-axis is i, the unit vector in the direction of the y-axis is j and the unit vector in the demand of the z-axis is k.
To learn more about unit vectors, refer
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The answer is C.
The magnitude is greater and the motion is going in the direction of the arrow meaning it’s a straight line in the direction will not change