Answer:
a) y = 400 ft b) y = 350 ft
Explanation:
We can solve that problem with kinematic relationships
y = v₀ t + ½ a t²
Let's apply this equation to the elevator 1
y₁ = v₀ t₁ + ½ to t₁²
time t= 1 s
y₁ = v₀ 1 + ½ a 1²
y₁ = v₀ + ½ a
For t = 2s
y₂ = v₀ 2 + ½ a 2²
y₂ = 2 v₀ + 2 a
Let's write the equations and solve the system
4 = v₀ + ½ a
9 = 2 v₀ + 2 a
Let's multiply the first by -2
-8 = -2v₀ -a
9 = 2v₀ + 2 a
Let's add
1 = a
We replace in the first
4 = v₀ + ½ 1
v₀ = 4- 1/2
v₀ = 3.5
The equation for the first elevator is
y = 3.5 t + ½ t²
For t = 10 s
y = 3.5 10 + ½ 10²
y = 400 ft
We repeat the process for the second elevator
t = 1s
y₁ = v₀ 1 + ½ a 1²
3.5 = v₀ + ½ a
t = 2 s
y₂ = v₀ 2 + ½ a 2²
6.5 = 2 v₀ +2 a
multiply by -2
-7 = -2 v₀ - a
6.5 = 2 v₀ + 2 a
Let's add
-0.5 = a
I replace in the first equation
3.5 = v₀ + ½ (-0.5)
v₀ = 3.5 + 0.25
v₀ = 3.75
The equation is
y = 3.75 t -0.25 t²
For t = 10s
y = 3.75 10 - 0.25 10²
y = 350 ft
Answer: The terrestrial planets are mainly comprised of silicate minerals and also there is presence of some metals, which were subsequently formed in the geological time scale, after the accumulation of smaller dust particles, due to the gravitational pull, during the time of formation of the planets.
Due to the location of these terrestrial planets near to the sun, their surface temperature is high enough to hold the gases like hydrogen and helium. Thus, they have a high density but less gases compared to the outer planets.
Answer:
4.15 x 10^6 N
Explanation:
Area, A = 1.43 cm^2 = 1.43 x 10^-4 m^2
mass, m = 60.5 kg
Weight, F = m g = 60.5 x 9.8 = 592.9 N
Pressure = Force / Area
P = Weight / Area
P = 592.9 / (1.43 x 10^-4)
P = 4.15 x 10^6 N
Understanding the given:
85 kg mountain climber
6.50 m long rope
gravity = 10m/s2
If we want to identify the work done on this scenario
we get f = 85kg x 10m/s2 = 850 N
w = 850N x 6.5 m = 5525 J
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decreased 5 times
Explanation: if the force increases 5 times between them would decrease 5 times
