Answer:
|A| = 8.06
Explanation:
Given that
Vector A,
We need to find the magnitude of the vector. Let the vector is R = ai + bj. The magnitude of this vector is given by :
In this given question, a = 4 and b = 7
The magnitude of vector A is given by :
|A| = 8.06
So, the magnitude of given vector is 8.06. Hence, this is the required solution.
When you are holding the ball it has potential energy and when you through it it will then have kinetic energy as it go's up then it will pause for a brief sec. and then that 's when it has the greatest potential energy and then when it falls back down is when it has the greatest kinetic energy. The mechanical energy would be when you through the ball.
Hope this helps:)
Answer:
F = 1.6*10⁴ N
Explanation:
Given distance x = 0.15m, mass m = 1200kg, velocity v = 2m/s.
Unknown: force F
Force is given by Newton's law:
(1)
The average force to stop an object from a velocity will be the same force necessary to accelerate an object from rest to the same velocity.
The distance for an object starting from rest for a constant acceleration is given by:
(2)
The velocity for an object starting from rest for a constant acceleration:
(3)
Using equation 2 and 3 to eliminate time t:
(4)
Solving equation 4 for the acceleration a:
(5)
Using equation1 to solve for the force F:
(6)
d is diameter, A is the area and v is the speed ,
Area*speed is the quantity of air flowing per second.
A v = πd² v/4 = 1.5 liters /second = 0.0015 m^3/s
v = 0.0015*4/(π*0.0074²) =35 m/s
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2
Using Bernoulli equation
ρ v₂²/2 = hdg where ρ is density of air and d is density of water
h = ρ v₂²/ (2dg) = 1.25*34.8769² /(2*1000*9.8) =0.07758 = 0.078 m