Answer:
, 
Explanation:
The acceleration of the plane can be determined by means of the kinematic equation that correspond to a Uniformly Accelerated Rectilinear Motion.
(1)
Where 
is the final velocity, 
is the initial velocity, 
is the acceleration and 
is the distance traveled.
Equation (1) can be rewritten in terms of ax:
(2)
Since the plane starts from rest, its initial velocity will be zero (
):
Replacing the values given in equation 2, it is gotten:
So, The acceleration of the plane is 
Now that the acceleration is known, the next equation can be used to find out the time:
(3)
Rewritten equation (3) in terms of t:
<u>Hence, the plane takes 26.92 seconds to reach its take-off speed.</u>
Conduction, convection and heat
Answer:
T = 44.35 °C
Explanation:
d = 32cm
R = 16 cm
Lsteel = 10m
T1 = 20° C
Space = 0.3cm
The space between the sphere and the floor is represented by δL(total) after the temperature increases.
As the temperature increases, both will expand.
So,
0.3 x 10^(-2) = δL(steel) + δR(brass)
= {L(o) x α(steel) x δT} + {R(o) x {α(brass) x δT}
= {10 x 1.2 x 10^(-5) x (T-20)} + {0.16 x 2 x 10^(-5) x (T-20)}
= 12.32 x 10^(-5) x(T-20)
Therefore (T-20) = (0.3 x 10^(-2)) / {12.32 x 10^(-5)}
T = 20 + 24. 35 = 44.35 °C
Answer:
Amount of necessary heat transfer, q = 
Given:
Volume of liquid Nitrogen, V = 0.200 
Density of liquid Nitrogen, 
Temperature, 
Temperature Rise, T' = 
Latent heat of Vaporization, 
Specific heat capacity of gas, 
Solution:
Now, calculation of heat transfer required to evaporate liquid nitrogen and raise its temperature is given by:
(1)
Now, mass, m can be given by:
Now, from eqn (1):
q =
