Explanation:
Given that,
The pilot directs the aircraft to fly due north at 600km/h.
A side-wind blows at 100km/h towards the east.
We need to find the aircraft's resultant velocity. et it be v. It can be calculated as follows :

For direction,

So, the aircraft's resultant velocity is 608.27 km/h and it is at and angle of 80.53°.
Answer:
The charge is 0.056 nC.
Explanation:
Given that,
Electric field = 2000 N/C
Distance = 5.0 cm
We need to calculate the charge density
Using formula of charge density


Put the value into the formula


We need to calculate the charge in 1.0 cm
Using formula of charge




Hence, The charge is 0.056 nC.
Answer:
Making the lumber thick will make it stiff, which seems good. On the other hand, with thicker lumber, differences in expansion on the two faces have more leverage to make the lumber move.
Answer:
7.888m
Explanation:
Given:
frequency 'f'= 90Hz
velocity of the sound 'v' = 340 m /sec
The wavelength of the wave is given by,
λ= v/f => 340/90
λ= 3.777m
The destructive interference condition is givn by
Δd=
λ
where, m=0,1,2,3,..
m=0, for minimum destructive interference
Δd=
x 3.777
Δd=1.888
Therefore, the required distance is
=
+ Δd => 6 + 1.888
= 7.888m
Thus, So the speaker should be placed at 7.888 m
Answer:
A. 500 N
Explanation:
Acceleration is change in velocity over change in time.
a = Δv / Δt
a = (50 m/s − 20 m/s) / 3 s
a = 10 m/s²
Force is mass times acceleration.
F = ma
F = (50 kg) (10 m/s²)
F = 500 N