A 75 kg astronaut has become detached from their her space ship. To get back to the ship she throws a tool in the opposite direc
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The average power is
Explanation:
First of all, we calculate the work done to accelerate the car; according to the work-energy theorem, the work done is equal to the change in kinetic energy of the car:
where :
is the final kinetic energy of the car, with
m = 2000 kg is the mass of the car
v = 60 m/s is the final speed of the car
is the initial kinetic energy of the car, with
u = 30 m/s is initial speed of the car
Soolving:
Now we can find the power required for the acceleration, which is given by
where
t = 9 s is the time elapsed
Solving:
Learn more about power:
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When car is at rest the steaks makes makes vertical lines
which means the rain is falling in vertically downward direction
Now when car is moving with some speed v
Now the steaks makes and an angle 45 degree
So here we can say that relative velocity of rain with car is 45 degree
Now this is the resultant speed of rain in car frame
now if relative velocity makes 45 degree angle so this vector must have same components in vertical and horizontal direction
Since we know that relative velocity is resultant of rain velocity and car velocity so we can say here its two components are rain velocity and car velocity
So these two components must be of same magnitude
as it makes 45 degree
because when two vector are of same magnitude then the resultant vector always makes 45 degree with them if these two vectors are perpendicular to each other
car is moving at same speed as the speed of rain