Answer:
The distance traveled by the skier is 5.309 km
Solution:
As per the question:
Mass of the skier, m = 64 kg
Coefficient of friction between the ski and the snow, 
Mass of snow, M = 5.0 kg
Now,
To calculate the distance, 's' traveled by the skier, in order to melt 5.0 kg of snow:
We know that:

where
= coefficient of friction
N = Normal Reaction
N = mg
Thus
(1)
Also,
(2)
where
= Latent Heat of fusion
Thus from eqn (1) and (2):


s = 5.309 km
Answer:
I = 26.36 cosω t A
Explanation:
Given that
C=0.74 mF
Vrms= 82 V
Frequency ,f= 49 Hz
We know that ω = 2 π f
ω = 2 x π x 49
ω = 307.72 rad/s
As we know that voltage given as
V= Vo sinω t

\
Vo=115.96 V
V=115.96 sinω t
The current given as




I = 26362.67 cosω t mA
I = 26.36 cosω t A
This is the current at time ant time t.
Answer: -39.2 m/s or 39.2 m/s directed downwards
Explanation:
This situation is a good example of Free Fall, where the main condition is that the initial velocity must be zero
, and the acceleration is constant (acceleration due gravity).
So, in order to calculate the final velocity
of the rock just at the moment it hitsthe bottom of the cliff, we will use the following equation:

Where:
is the acceleration due gravity (directed downwards)
is the time it takes to the rock to fall down the cliff

This is the rock's final velocity and its negative sign indicates it is directed downwards
As per Kepler's third law we know that

now here we know that
= year of Neptune
= year of Earth
= distance of Neptune from Sun
= Distance of Earth from Sun
so now we will have



so length of year of Neptune is 164.3 years
Answer: 
Explanation:
According to the conservation of linear momentum principle, the initial momentum
(before the collision) must be equal to the final momentum
(after the collision):
(1)
In addition, the initial momentum is:
(2)
Where:
is the mass of the comet
is the mass of the asteroid
is the velocity of the comet, which is positive
is the velocity of the asteroid, since it is at rest
And the final momentum is:
(3)
Where:
is the final velocity
Then :
(4)
Isolating
:
(5)

Finally:
This is the final velocity, which is also in the positive direction.