Answer:
F = 1.6 N
Explanation:
Newton's Second Law of Motion states that whenever an unbalanced force is applied on a body. It produces an acceleration in the body, in its own direction. The magnitude of the force is given by the following formula:
F = ma
where,
F = Force Required to Move the Object Upward = ?
m = mass of object
a = upward acceleration = 2 m/s²
but, we know that weight of object is given as:
Weight = mg
8 N = m(9.8 m/s²)
m = 0.8 kg
using values in the equation:
F = (0.8 kg)(2 m/s²)
<u>F = 1.6 N</u>
it would be 700 mile each hour if he goes 2100 miles in 3 hours
Answer:
The distance traveled by the tuning fork is 9.37 m
Explanation:
Given;
source frequency, 
= 683 Hz
observed frequency, 
= 657 Hz
The speed at which the tuning fork fell is calculated by applying Doppler effect formula;
![f_o = f_s [\frac{v}{v + v_s} ]](https://tex.z-dn.net/?f=f_o%20%3D%20f_s%20%5B%5Cfrac%7Bv%7D%7Bv%20%2B%20v_s%7D%20%5D)
where;
is speed of sound in air = 343 m/s
is the speed of the falling tuning fork
![657 = 683[\frac{343}{343 + v_s} ]\\\\\frac{657}{683} = \frac{343}{343 + v_s}\\\\0.962 = \frac{343}{343 + v_s}\\\\0.962(343 + v_s) = 343\\\\343 + v_s = \frac{343}{0.962} \\\\343 + v_s = 356.55\\\\v_s = 356.55 - 343\\\\v_s = 13.55 \ m/s](https://tex.z-dn.net/?f=657%20%3D%20683%5B%5Cfrac%7B343%7D%7B343%20%2B%20v_s%7D%20%5D%5C%5C%5C%5C%5Cfrac%7B657%7D%7B683%7D%20%3D%20%5Cfrac%7B343%7D%7B343%20%2B%20v_s%7D%5C%5C%5C%5C0.962%20%3D%20%5Cfrac%7B343%7D%7B343%20%2B%20v_s%7D%5C%5C%5C%5C0.962%28343%20%2B%20v_s%29%20%3D%20343%5C%5C%5C%5C343%20%2B%20v_s%20%3D%20%5Cfrac%7B343%7D%7B0.962%7D%20%5C%5C%5C%5C343%20%2B%20v_s%20%3D%20356.55%5C%5C%5C%5Cv_s%20%3D%20356.55%20-%20343%5C%5C%5C%5Cv_s%20%3D%2013.55%20%5C%20m%2Fs)
The distance traveled by the tuning fork is calculated by applying kinematic equation as follows;
where;
is the initial speed of the tuning fork = 0
g is acceleration due to gravity = 9.80 m/s²
Therefore, the distance traveled by the tuning fork is 9.37 m
