... find length
(way 1) determine acceleration using force
only force act on skier is mg vertically. spilt vector we get force along the incline = mgsin(10) and f= ma so
ma = mgsin(10) or a = gsin(10)
a (along the incline)= gsin(10) = 10sin(10) = 1.74
v^2 = u^2 + 2as
15^2 = 3^2 + 2(1.74)s
s = 62.06 m
(way 2) using conservation of energy
energy (KE+PE) on top = energy at bottom
0.5m3^2 + mgh = 0.5m15^2 +0
h (height of incline) = (112.5 - 4.5)/10 = 19.8 m
length of incline = h/sin(10) = 62.2 m ; trigonometry
... find time
s = (u+v)t/2
t = 2s/(u+v) = 2(62.2)/(3+15) = 6.91 s
Answer:
Y = 4.775 x 10⁹ Pa = 4.775 GPa
Explanation:
First, we calculate the stress on the rod:

Now, we calculate the strain:

Now, we will calculate the Young's Modulus (Y):

<u>Y = 4.775 x 10⁹ Pa = 4.775 GPa</u>
Answer:
the forces are proportional to their areas of application
Explanation:
In a hydraulic jack, Pascal's principle is used, that the pressure in an incompressible liquid is the same at the same height, whereby the pressure on both sides of the jack are the same
P₁ = P₂
the pressure is defined by
P = F / A
we substitute
F₂ =
therefore the force is F₂> F₁
Therefore the forces are proportional to their areas of application
Answer:
Centripetal force doubles
Explanation:
Since centripetal force is given by

Where F is the centripetal force, m is the mass, v is the centripetal velocity and r is circle radius.
When the radius is reduced to half then the centripetal force will be

Evidently, the centripetal force is doubled compared to the initial.
Note that while the question gives letter v for radius, I used v for velocity and r for radius since these are the standard letters for abbreviating formula of centripetal force.