Answer:
longer than
Explanation:
given,
time of nap = 10 min
speed of orbiting earth = 8000 m/s
c is the speed of light
using the equation of time dilation
now inserting all the values
t' = 10.001 s
on solving the above equation we will get a value greater than 10minutes.
hence, On earth time of nap measured will be longer than 10 min
Answer:
Speed of the cart at the top of the loop = 34.3 m/s
Explanation:
Gravitational acceleration = g = 9.81 m/s2
Your mass = m
You feel three times as heavy at the top of the loop.
Normal force on you = N = 3mg
Radius of the loop = R
Speed of the cart = V
Centripetal force required for the circular motion = Fc
F = m
The centripetal force is provided by the normal force on you which is directed downwards and your own weight which is directed downwards.
Fc = mg + N
Fc = mg + 3mg
Fc = 4mg
m12 -= 4mg R
V = 4gR
V = 4(9.81)(30)
V = 34.3 m/s
Speed of the cart at the top of the loop = 34.3 m/s
The answer is attached. Also, you should know that the unit for acceleration is m/s2 and for velocity it is m/s.
Answer:
The friend on moon will be richer.
Explanation:
We must calculate the mass of gold won by each person, to tell who is richer. For that purpose we will use the following formula:
W = mg
m = W/g
where,
m = mass of gold
W = weight of gold
g = acceleration due to gravity on that planet
<u>FOR FRIEND ON MOON</u>:
W = 1 N
g = 1.625 m/s²
Therefore,
m = (1 N)/(1.625 m/s²)
m(moon) = 0.6 kg
<u>FOR ME ON EARTH</u>:
W = 1 N
g = 9.8 m/s²
Therefore,
m = (1 N)/(9.8 m/s²)
m(earth) = 0.1 kg
Since, the mass of gold on moon is greater than the mass of moon on earth.
<u>Therefore, the friend on moon will be richer.</u>
Answer:
Using the new cylinder the heat rate between the reservoirs would be 50 W
Explanation:
- Conduction could be described by the Law of Fourierin the form:
where 
is the rate of heat transferred by conduction, 
is the thermal conductivity of the material, 
and 
are the temperatures of each heat deposit, 
is the cross area to the flow of heat, and 
is the distance that the flow of heat has to go. - For the original cylinder the Fourier's law would be:
, and if 
, then the expression would be:
where 
is the diameter of the original cylinder, and 
is the length of the original cylinder. - For the new cylinder, in the same fashion that for the first, Fourier's Law would be:
,where 
is the heat rate in the second case, 
and 
are the new diameter and length. - But,
and 
, substituting in the expression for : 
. - Rearranging:
. - In the last declaration of , it could be noted that the expressión inside the parenthesis is actually
, then: 
. - <u>It should be noted, that the temperatures in the hot and cold reservoirs never change.</u>
