A vector is 253m long and points in a 55.8degree direction. Find the y-component of the vector.
2 answers:
Answer:
The answer to your question is: 209 m
Explanation:
Data
length = 253 m
d = 55.8°
y - component = ?
Formula
To solve this problem we need to use a right triangle a the trigonometric functions (sine, cosine, tangent, etc)
Now we have to choose among the trigonometric functions which one to use that relates the opposite side and the hypotenuse.
And that one is sineФ = os/h
we clear os = sineФ x h
os = sine 55.8 x253
os = 209 m
soh, cah, toa
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Answer:
A) 37 m
Explanation:
The car is moving of uniformly accelerated motion, so the distance it covers can be calculated by using the following SUVAT equation:
(1)
where
v = 0 m/s is the final velocity of the car
u = 24 m/s is the initial velocity
a is the acceleration
d is the length of the skid
We need to find the acceleration first. We know that the force responsible for the (de)celeration is the force of friction, so:
where
m = 1000 kg is the mass of the car
is the coefficient of friction
a is the deceleration of the car
g = 9.8 m/s^2 is the acceleration due to gravity
The negative sign is due to the fact that the force of friction is against the motion of the car, so the sign of the acceleration will be negative because the car is slowing down. From this equation, we find:
And we can substitute it into eq.(1) to find d:
Answer:
The fraction fraction of the final energy is stored in an initially uncharged capacitor after it has been charging for 3.0 time constants is
Explanation:
From the question we are told that
The time constant
The potential across the capacitor can be mathematically represented as
Where is the voltage of the capacitor when it is fully charged
So at
Generally energy stored in a capacitor is mathematically represented as
In this equation the energy stored is directly proportional to the the square of the potential across the capacitor
Now since capacitance is constant at
The energy stored can be evaluated at as
Hence the fraction of the energy stored in an initially uncharged capacitor is