Knowing the initial velocity and angle, the horizontal range formula is given by R= V^2sin(2teta) / g, so we can get
sin(2teta)=Rg/V^2
sin(2teta)= (180 x 9.8)/ 80^2= 0.27, sin(2teta)=0.27, 2teta=arcsin(0.27)=15.66, so teta=15.66/2
teta=7.83°
Answer:
The acceleration of car 2 is four times of the acceleration of car 1.
Explanation:
The centripetal acceleration of the object is possessed when it moves in a circular path. It is given by :
![a=\dfrac{v^2}{r}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bv%5E2%7D%7Br%7D)
In this case, two race cars are driving at constant speeds around a circular track. Both cars are the same distance away from the center of the track, but car 2 is driving twice as fast as car 1.
So,
![\dfrac{a_1}{a_2}=\dfrac{v_1^2}{v_2^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cdfrac%7Bv_1%5E2%7D%7Bv_2%5E2%7D)
1 and 2 represent car 1 and car 2 respectively.
![v_2=2v_1](https://tex.z-dn.net/?f=v_2%3D2v_1)
So,
![\dfrac{a_1}{a_2}=\dfrac{v_1^2}{(2v_1)^2}\\\\\dfrac{a_1}{a_2}=\dfrac{v_1^2}{4v_1^2}\\\\\dfrac{a_1}{a_2}=\dfrac{1}{4}\\\\a_2=4\times a_1](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cdfrac%7Bv_1%5E2%7D%7B%282v_1%29%5E2%7D%5C%5C%5C%5C%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cdfrac%7Bv_1%5E2%7D%7B4v_1%5E2%7D%5C%5C%5C%5C%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5Ca_2%3D4%5Ctimes%20a_1)
So, the acceleration of car 2 is four times of the acceleration of car 1.
If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid. The most energetic particles at the surface escape from the surface of the liquid as a vapour as it gets warmer. Liquids evaporate faster as they heat up and more particles have enough energy to break away.
Answer:
Explanation:
Frequency of signal = 1260 KHz
= 1260 x 10³ = 126 x 10⁴ Hz
velocity of wave = 3 x 10⁸ m /s
wavelength = velocity / frequency
= ![\frac{3\times10^8}{126\times10^4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Ctimes10%5E8%7D%7B126%5Ctimes10%5E4%7D)
= 238 m
b )E(t) = E0 sin(2πft)
E(t) = 0.41 sin(2πft)
when t = 4.8 μs
= 4.8 x 10⁻ ⁶
E(t) = 0.41 sin(2π x 126 x 10⁴ x4.8 x 10⁻ ⁶ )
= 0.41 sin(2π x 126 x 10⁴ x4.8 x 10⁻ ⁶ )
= 0.41 sin(37.98 rad )
= .11 N/C