Answer:
145.91 m
Explanation:
Data provided in the the question:
Wavelength of radio wave,
Here, c is speed of radio wave in air = 3 × 10⁸ m/s
f is the frequency = 514 kHz = 514 × 10³ Hz
Thus,
Wavelength = (3 × 10⁸) ÷ (514 × 10³) m
or
Wavelength = 583.65 m
Thus,
The height of the antenna will be
=
= 583.65 ÷ 4 m
= 145.91 m
Answer:
86.4 N downward
Explanation:
Force: This can be defined as the product of mass and acceleration of a body.
The S.I unit of Force is Newton(N).
The Expression of force is given as,
F = ma ................ Equation 1
Where F = force of the parachute harness, m = mass of the skydiver, a = acceleration of the skydiver.
Given: m = 72 kg, a = 1.2 m/s²
Substitute into equation 1
F = 72(1.2)
F = 86.4 N down ward.
Hence the force on the parachute harness = 86.4 N downward
There is no acceleration in the horizontal direction (just g in the vertical), so we can use v = d/t, where v is velocity, d is distance and t is time. We can solve for time like so: t = d/v, we can plug in numbers (v is 39.1m/s completely in the horizontal direction, so no need to break it down with sin's and cos's, just plug it in) and we get t = (16.6m)/(39.1 m/s) = 0.42 s. Keep in mind it wouldn't fall far enough vertically to hit home plate (though we don't know the ball's initial height anyway), but would be in the air just above it. Cheers!