<span> = r x F </span>
<span>| τ | = | r x F | = | r | | F | sinΘ </span>
<span>100 = | (0.3)<0, 1, 0> x (F/5)<0, 3, -4> | </span>
<span>5000/3 = | F | | <0, 1, 0> x <0, 3, -4> | </span>
<span>5000/3 = | F | | <-4, 0, 0> | </span>
<span>5000/3 = | F | * 4 </span>
<span>| F | = 1250/3 </span>
<span>| F | = 417 N </span>
<span>Check: </span>
<span>τ = r x F </span>
<span>100<-1, 0, 0> = 0.3<0, 1, 0> x 250/3<0, 3, -4> </span>
<span>100<-1, 0, 0> = 25 ( <0, 1, 0> x <0, 3, -4> ) </span>
<span>100<-1, 0, 0> = 25 ( <-4, 0, 0> ) </span>
<span>100<-1, 0, 0> = 100<-1, 0, 0> </span>
<span>What the other people forgot was that you need the angle from the y-axis, which would be Θ = arctan(O/A) = arctan(z/y) = arctan(-4/3) = -53.1°. Then you take the sine of that to get 0.8. There is more work being done on the z-vector than there is on the y-vector, so the force is distributed (0.6) in the y-direction, and (0.8) in the z-direction (0.6² + 0.8² = 1). </span>
<h3><u>Answer;</u></h3>
= 2868 Newtons
<h3><u>Explanation;</u></h3>
Centripetal force is a force that acts on an object or a body in circular path and is directed towards the center of the circular path.
Centripetal force is given by the formula;
mv²/r ; where m is the mass of the body, r is the radius of the circular path and v is the velocity of a body;
mass = 65 kg, velocity = 15 m/s and r = 5.1 m
Therefore;
Centripetal force = (65 × 15²)/ 5.10
= 2867.65 Newtons
= 2868 N
-- The amplitude of Wave-1 is greater than the amplitude of Wave-2 ...
possibly 3 or 4 times as great.
-- The wavelength of Wave-1 is longer than the wavelength of Wave-2 ...
maybe almost twice as long.
-- The frequency of Wave-2 is greater than the frequency of Wave-1 ...
maybe almost twice as frequent.
Answer:
Explanation:
The fish falls from vertical rest in a time of
t = √(2h/g) = √(2(2.27)/9.81) = 0.68 s
v = d/t = 5.6 / 0.68 = 8.2 m/s