Answer:
Option (a)
Explanation:
We will discard options that don't fit the situation:
Option b: <em>Incorrect </em>since if the driver "hits the gas" then velocity is augmenting and it's not constant.
Option c and d: <em>Incorrect </em>since the situation doesn't give us any information that could be related directly to the terrain or movement direction.
Option a: Correct. At <em>stage 1</em> we can assume the driver was going at constant speed which means acceleration is constantly zero. At <em>stage 2 </em>we can assume the driver augmented speed linearly, this is, with constant positive acceleration. At <em>stage 3 </em>we can assume the driver slowed the speed linearly, with constant negative acceleration.
Answer:
the speed of the first spacecraft as viewed from the second spacecraft is 0.95c
Explanation:
Given that;
speed of the first spacecraft from earth v
= 0.80c
speed of the second spacecraft from earth v
= -0.60 c
Using the formula for relative motion in relativistic mechanics
u' = ( v
- v
) / ( 1 - (v
v
/ c²) )
we substitute
u' = ( 0.80c - ( -0.60c) ) / ( 1 - ( ( 0.80c × -0.60c) / c² ) )
u' = ( 0.80c + 0.60c ) / ( 1 - ( -0.48c² / c² ) )
u' = 1.4c / ( 1 - ( -0.48 ) )
u' = 1.4c / ( 1 + 0.48 )
u' = 1.4c / 1.48
u' = 0.9459c ≈ 0.95c { two decimal places }
Therefore, the speed of the first spacecraft as viewed from the second spacecraft is 0.95c
Answer:
Explanation:
Given that,
Radius of the wheel, r = 20 cm = 0.2 m
Initial speed of the wheel, 
Displacement, 
To find,
The angular acceleration and the distance covered by the car.
Solution,
Let
is the angular acceleration of the car. Using equation of rotational kinematics as :



Let t is the time taken by the car before coming to rest.


t = 30.39 seconds
Let v is the linear velocity of the car. So,


v = 150.79 m/s
Let d is the distance covered by the car. It can be calculated as :


d = 4582.5 meters
or
d = 4.58 km
Answer:
(d) 16°
Explanation:
Using Snell's law as:
Where,
is the angle of incidence ( 25.0° )
is the angle of refraction ( ? )
is the refractive index of the refraction medium (glass, n=1.5)
is the refractive index of the incidence medium (air, n=1)
Hence,
Angle of refraction =
= 16°
Answer:
10 m^3 /s
Explanation:
1 m X 2 m X 5 m /s = 10 m^3/s