Answer:
a) W = - 6.825 J, b) θ = 1.72 revolution
Explanation:
a) In this exercise the work of the friction force is negative and is equal to the variation of the kinetic energy of the particle
W = ΔK
W = K_f - K₀
W = ½ m v_f² - ½ m v₀²
W = ½ 0.325 (5.5² - 8.5²)
W = - 6.825 J
b) find us the coefficient of friction
Let's use Newton's second law
fr = μ N
y-axis (vertical) N-W = 0
fr = μ W
work is defined by
W = F d
the distance traveled in a revolution is
d₀ = 2π r
W = μ mg d₀ = -6.825
μ =
The total work as the object stops the final velocity is zero v_f = 0
W = 0 - ½ m v₀²
W = - ½ 0.325 8.5²
W = - 11.74 J
μ mg d = -11.74
we subtitle the friction coefficient value
(
) m g d = -11.74
6.825
= 11.74
d = 11.74/6.825 d₀
d = 1.7201 2π 0.400
d = 4.32 m
this is the total distance traveled, the distance and the angle are related
θ = d / r
θ = 4.32 / 0.40
θ = 10.808 rad
we reduce to revolutions
θ = 10.808 rad (1rev / 2π rad)
θ = 1.72 revolution
maximum speed of cheetah is

speed of gazelle is given as

Now the relative speed of Cheetah with respect to Gazelle


now the relative distance between Cheetah and Gazelle is given initially as "d"
now the time taken by Cheetah to catch the Gazelle is given as

so by rearranging the terms we can say


so above is the relation between all given variable
Answer:
a) A1 = 
b) A1 = 2.688 cm
c) Q1 = A1 x v1
d) v1 = 3.1994 m/s
e) A2 = 
f) A2 = 0.7963cm
Explanation:
a) Area = 
r = 
thus,
area = 
A1 = ![\frac{\pi (d1)^{2} }{4}[/tex]b) d1 = 1.85 cmsubstituting in the above equation,A1 = [tex]\frac{\pi (d1)^{2} }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%28d1%29%5E%7B2%7D%20%7D%7B4%7D%5B%2Ftex%3C%2Fstrong%3E%5D%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3Eb%29%20d1%20%3D%201.85%20cm%3C%2Fp%3E%3Cp%3Esubstituting%20in%20the%20above%20equation%2C%3C%2Fp%3E%3Cp%3EA1%20%3D%20%20%5Btex%5D%5Cfrac%7B%5Cpi%20%28d1%29%5E%7B2%7D%20%7D%7B4%7D)
A1 = 
A1 = 2.688 cm
c) Flow rate = Area x velocity ( refer brainly.com/question/13997998)
Q1 = A1 x v1
d) From the above equation,
v1 =
=
= 319.94 cm/s = 3.1994 m/s
e) Since the flow rate Q1 is constant throughout the hose, Av is a constant.
i.e. A1 x v1 = A2 x v2
thus,
A2 = 
f) v2 = 10.8 m/s.
substituting the values in the above equation,
A2 =
= 0.7963cm
The first one, directly proportional to the length that the spring is stretched.
Answer:
Explanation:
Let the potential difference between plate be V .
Electrical energy lost for cyberon = V x 3e
Kinetic energy lost by cyberon = kinetic energy gain by it
V x 3e = 1/2 x 3m x vc²
For electron , the above equation becomes
V x e = 1/2 x m x ve²
Dividing the two equations
1 = vc² / ve²
vc = ve .
vc / ve = 1 .