Find stress using the formula Stress = Force / Area. Here, force
exerted by 85kg person on stool is F = mg = 85kg * 9.8 m/s^2 = 833N. Find total
area of 3 legs A = 3 π (D/2)^2 = 3 π (2.5 x 10^-2 / 2)^2 = 1.4726 x 10^-3 m^2.
Now substitute in Stress = Force/Area. Stress = 833N / 1.4726 x 10^-3 m^2 =
5.656 x 10^5 N/m^2. Find strain using the formula strain = Stress / Young’s
modulus. For wood, Y = 1.3 x 10^10 N/m^2. Thus, strain = 5.656x10^5 N/m^2 /
1.3x10^10 N/m^2 = 4.35 x 10^-5 = 0.00435%.
Therefore, the legs decrease by 0.00435%
Answer:
twelve facesFrom left to right the solids are tetrahedron (four sides), cube (six sides), octahedron (eight faces), dodecahedron (twelve faces), and icosahedron (twenty faces).
Explanation:
Ayo hope you enjoy
Answer:
11×10⁵ J
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 1000 kg
Height (h) = 110 m
Acceleration due to gravity (g) = 10 m/s²
Potential energy (PE) =?
The potential energy of the roller coaster can be obtained as follow:
PE = mgh
PE = 1000 × 10 × 110
PE = 11×10⁵ J
Therefore, potential energy of the roller coaster is 11×10⁵ J
Answer:
After 3 hours.
Explanation:
This is a encounter problem.
We start by writing the position equation of both objects.
We assume that acceleration is equal to zero in both boats ⇒ They move with constant speed
We put the origin of coordinates in the harbour so after 6 hours the first boat travels
The first boat will be 42 mi far from the harbour.
The position equation for a motion with acceleration equal to zero is :
Where is initial position
v is the speed
t is time and is initial time
Then is time variation
For the first boat :
Because we set
For the second one :
In the encounter : x1(t) = x2(t) ⇒
So after 3 hours they have the same position relative to the harbour
We can check by replacing the value t = 3h in both position equations
For x1(t) :
For x2(t) :