To solve this problem we will use the relationship given between the centripetal Force and the Force caused by the weight, with respect to the horizontal and vertical components of the total tension given.
The tension in the vertical plane will be equivalent to the centripetal force therefore
Here,
m = mass
v = Velocity
r = Radius
The tension in the horizontal plane will be subject to the action of the weight, therefore
Matching both expressions with respect to the tension we will have to
Then we have that,
Rearranging to find the velocity we have that
The value of the angle is 14.5°, the acceleration (g) is 9.8m/s^2 and the radius is
Replacing we have that
Therefore the speed of each seat is 4.492m/s
Describing motion from each frame of reference:
Since observer A is on one of the train's cars, he will find that he is at rest with respect to the train even when it is pulling away because, he is also moving with respect to the train.
Observer B on the stationary platform will observe that the train is pulling away from the station towards the right of the platform. as is described
Observer C will notice that the train is approaching him in the opposite direction at a speed which is the sum of the speeds at which both the train are traveling
If the conductor applies brakes on the train, since the platform is a stationary frame of reference. The motion will be observed as a simple decelerationg. he will observe that the force due to the brakes will cause the velocity of the train with respect to the train to decrease
Universal law of gravitation effects all objects alike . There will be a constant force of gravity acting on the train that will keep the train on its tracks. The tracks in turn exert a reaction force on the train. There will not be any affect on the train's motion as such( assuming that the train is moving along the tracks and gravitational force is exactly perpendicular)
The heat moves from the hot chocolate to the handle of the spoon by a process called thermal conduction.
It is the transfer of heat energy from one object to another when they are in contact with eachother.
Hope this answers your question.
Answer:
The magnetic energy density is 
Explanation:
From the question we are told that
The earths magnetic field is 
Now
=> 
So
Generally the magnetic energy density is mathematically represented as
Here 
is the permeability of free space with a constant value
substituting values for equation above
Answer:
a. a= 1.029 ms⁻²
b. S=25.89 m
Explanation:
given
initial speed is u = 7.30 m/sec
final speed is v = 0 m/sec
mu_k = 0.105
kinetic frictional force is Fk = mu_k×m×g
mu_k×m×g = m×a
m cancels
mu_k×g = a
deccelaration a = mu_k×g = 0.105×9.8 =1.029 ms⁻²
b) using v²-u² = 2aS
0²-7.3² = -2×1.029×S
53.29=2.058×S
S = 53.29/2.058
S=25.89 m
