All valid equations in physics have consistent units. Are all equations that have consistent units valid?
1 answer:
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Answer:
58.5 m
Explanation:
First of all, we need to find the total time the ball takes to reach the water. This can be done by looking at the vertical motion only.
The initial vertical velocity of the ball is
where
u = 21.5 m/s is the initial speed
is the angle
Substituting,
The vertical position of the ball at time t is given by
where
h = 13.5 m is the initial heigth
is the acceleration of gravity (negative sign because it points downward)
The ball reaches the water when y = 0, so
Which gives two solutions: t = 3.27 s and t = -0.84 s. We discard the negative solution since it is meaningless.
The horizontal velocity of the ball is
And since the motion along the horizontal direction is a uniform motion, we can find the horizontal distance travelled by the ball as follows:
Answer:12.8 ft/s
Explanation:
Given
Speed of hoop
height of top
Initial energy at bottom is
Where m=mass of hoop
I=moment of inertia of hoop
=angular velocity
for pure rolling
Energy required to reach at top
Thus 512.2 m is converted energy is spent to raise the potential energy of hoop and remaining is in the form of kinetic and rotational energy
Therefore
Answer:
200 m/s
Explanation:
Given that,
A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 60 mph.
We need to find the rate at which the plane is moving towards North. It can be given by :
Where
is the angle with the North
Hence, the plane is moving at a rate of 200 m/s.