Answer:
Vibrating means to move quickly to and fro.
Explanation:
Answer:
3054.4 km/h
Explanation:
Using the conservation of momentum
momentum before separation = 5M × 2980 Km/h where M represent the mass of the module while 4 M represent the mass of the motor
initial momentum = 14900 M km/h
let v be the new speed of the motor so that the
new momentum = 4Mv and the new momentum of the module = M ( v + 94 km/h )
total momentum = 4Mv + Mv + 93 M = 5 Mv + 93M
initial momentum = final momentum
14900 M km/h = 5 Mv + 93M
14900 km/h = 5v + 93
14900 - 93 = 5v
v = 2961.4 km/h
the speed of the module = 2961.4 + 93 = 3054.4 km/h
Air pressure changes with altitude because of issues related to gravity. Molecules have more weight the closer they are to the Earth and more of them move to lower elevations as a result; this causes increased pressure because there are more molecules in number and proximity. Conversely, air at higher elevations has less weight, but also forces pressure on those layers below it, resulting in the molecules closer to the Earth supporting more weight, increasing the pressure
Answer:
θ = 4.78º
with respect to the vertical or 4.78 to the east - north
Explanation:
This is a velocity compound exercise since it is a vector quantity.
The plane takes a direction, the air blows to the west and the result must be to the north, let's use the Pythagorean theorem to find the speed
v_fly² = v_nort² + v_air²
v_nort² = v_fly² + - v_air²
Let's use trigonometry to find the direction of the plane
sin θ = v_air / v_fly
θ = sin⁻¹ (v_air / v_fly)
let's calculate
θ = sin⁻¹ (10/120)
θ = 4.78º
with respect to the vertical or 4.78 to the north-east
As we know that force F makes an angle of 60 degree with X axis
so the X component is given as
![cos60 = \frac{F_x}{F}](https://tex.z-dn.net/?f=cos60%20%3D%20%5Cfrac%7BF_x%7D%7BF%7D)
now we have
![F_x = F cos60](https://tex.z-dn.net/?f=F_x%20%3D%20F%20cos60)
![F_x = 0.50 F](https://tex.z-dn.net/?f=F_x%20%3D%200.50%20F)
Similarly we know that force F makes an angle of 45 degree with Y axis
so the X component is given as
![cos45 = \frac{F_y}{F}](https://tex.z-dn.net/?f=cos45%20%3D%20%5Cfrac%7BF_y%7D%7BF%7D)
now we have
![F_y = F cos45](https://tex.z-dn.net/?f=F_y%20%3D%20F%20cos45)
![F_y = 0.707 F](https://tex.z-dn.net/?f=F_y%20%3D%200.707%20F)
Now for the component along z axis we know that
![F_x^2 + F_y^2 + F_z^2 = F^2](https://tex.z-dn.net/?f=F_x%5E2%20%2B%20F_y%5E2%20%2B%20F_z%5E2%20%3D%20F%5E2)
now plug in all components
![(0.707 F)^2 + (0.50 F)^2 + F_z^2 = F^2](https://tex.z-dn.net/?f=%280.707%20F%29%5E2%20%2B%20%280.50%20F%29%5E2%20%2B%20F_z%5E2%20%3D%20F%5E2)
![0.5 F^2 + 0.25 F^2 + F_z^2 = F^2](https://tex.z-dn.net/?f=0.5%20F%5E2%20%2B%200.25%20F%5E2%20%2B%20F_z%5E2%20%3D%20F%5E2)
![F_z^2 = F^2(1 - 0.75)](https://tex.z-dn.net/?f=F_z%5E2%20%3D%20F%5E2%281%20-%200.75%29)
![F_z^2 = 0.25 F^2](https://tex.z-dn.net/?f=F_z%5E2%20%3D%200.25%20F%5E2)
![F_z = 0.5 F](https://tex.z-dn.net/?f=F_z%20%3D%200.5%20F)