Answer:
470 N.
Explanation:
Using equations of motion:
S = vi*t + 1/2*(a*(t^2))
Given:
S = 0.65 m
t = 1.5 s
vi = 0 m/s
0.65 = 1/2 * (a * (1.5)^2)
a = 1.3/2.25
= 0.578 m/s^2
Force = mass * acceleration due to gravity
= 92 * 0.578
= 53.16 N
Total force = 420 + 53.16
= 473.16 N
= 470 N.
Answer:
Explanation:
Carton cycle consists of four thermodynamic processes . The first is isothermal expansion at higher temperature , then adiabatic expansion which lowers the temperature of gas . The third process is isothermal compression at lower temperature and the last process is adiabatic compression which increases the temperature of the gas to its original temperature .
So the given process of isothermal compression must have been done at the temperature of 300K , keeping the temperature constant .
Work done on gas at isothermal compression is equal to heat transfer .
work done on gas = 80 x 10³ J
work done on gas = n RT ln v₁ / v₂
n is number of moles v₁ and v₂ are initial and final volume
molecular weight of gas = 28.97 g
1.5 kg = 1500 / 28.97 moles
= 51.77 moles
work done on gas = n RT ln v₁ / v₂
Putting the values in the equation above
80 x 10³ = 51.78 x 8.31 x 300 x ln v₁ / .2
ln v₁ / .2 = .62
v₁ / .2 = 1.8589
v₁ = 0.37 m³
Answer:
We can define power as:
P = W/t
where W is work, and t is time.
And the work needed to climb a distance (we can assume that climb a set of stairs is equivalent to climbing a given height) is:
W = g*h*m
Where:
g = gravitational acceleration
h = height climbed
m = mass.
g and h are the same for Juan and his sister, and the only thing that changes is the mass
The work for Juan is:
Wj = g*h*M
And for his sister, that has half his
Wa = g*h*M/2.
Then the power for Juan, is:
Pj = Wj/t1 = (g*h*M)/t1
Where t1 is the time that Juan needs to climb the stairs.
And for Anna is:
Pa = Wa/t2 = (g*h*M/2)/t2
Where t2 is the time that Anna needs to climb the stairs:
We know that they have the same power, then:
Pj = Pa
(g*h*M)/t1 = (g*h*M/2)/t2
M/t1 = M/2*t2
t1 = 2*t2
This means that the time in which Juan climbs the stairs is twice the time that Anna needs to climb the stairs.