Answer:
D = 43 m
Explanation:
given,
initial velocity = 18 m/s
angle θ = 60°
total horizontal distance covered by the shell is
![R = \dfrac{v_0^2sin 2\theta}{g}](https://tex.z-dn.net/?f=R%20%3D%20%5Cdfrac%7Bv_0%5E2sin%202%5Ctheta%7D%7Bg%7D)
applying conservation of momentum in horizontal direction
m v₀ cos θ = m₁v₁ + m₂ v₂
m v₀ cos θ = 0.5 m v₂
v₂ = 2 v₀ cos θ.
distance covered by the shell from point of explosion
R' = v t
= ![(2 v_0 cos \theta) (\dfrac{v_0^2sin \theta}{g})](https://tex.z-dn.net/?f=%282%20v_0%20cos%20%5Ctheta%29%20%28%5Cdfrac%7Bv_0%5E2sin%20%5Ctheta%7D%7Bg%7D%29)
=![(2 \dfrac{v_0^2cos \theta sin \theta}{g})](https://tex.z-dn.net/?f=%282%20%5Cdfrac%7Bv_0%5E2cos%20%5Ctheta%20sin%20%5Ctheta%7D%7Bg%7D%29)
= ![\dfrac{v_0^2sin 2\theta}{g}](https://tex.z-dn.net/?f=%5Cdfrac%7Bv_0%5E2sin%202%5Ctheta%7D%7Bg%7D)
= R
total distance traveled by the shell is
D = ![\dfrac{R}{2}+R'](https://tex.z-dn.net/?f=%5Cdfrac%7BR%7D%7B2%7D%2BR%27)
= 1.5 R
= ![1.5\dfrac{v_0^2sin 2\theta}{g}](https://tex.z-dn.net/?f=1.5%5Cdfrac%7Bv_0%5E2sin%202%5Ctheta%7D%7Bg%7D)
D = ![1.5\dfrac{18^2sin 2\times 60}{9.81}](https://tex.z-dn.net/?f=1.5%5Cdfrac%7B18%5E2sin%202%5Ctimes%2060%7D%7B9.81%7D)
= 42.9 ≅ 43 m
D = 43 m
<span>Electric current is produced when a changing magnetic field is applied to a conductor, an electromotive force (EMF) is produced, thus causing a suitable path.</span>
<em>The core accretion model Approximately 4.6 billion years ago, the solar system was a cloud of dust and gas known as a solar nebula. Gravity collapsed the material in on itself as it began to spin, forming the sun in the center of the nebula. With the rise of the sun, the remaining material began to clump together.</em>
<em />
Answer:
Explanation:
Given
Let us suppose police car and motorist travel in straight line and police car catches motorist after s distance
Distance travel by motorist
----1
Distance traveled by Police car
![s=ut+\frac{at^2}{2}](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7Bat%5E2%7D%7B2%7D)
![s=0+\frac{a_pt^2}{2}](https://tex.z-dn.net/?f=s%3D0%2B%5Cfrac%7Ba_pt%5E2%7D%7B2%7D)
----2
from 1 & 2 we get
![t=\frac{2v_m}{a_p}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B2v_m%7D%7Ba_p%7D)
(a)Velocity of Police car after t sec
![v=u+a_pt](https://tex.z-dn.net/?f=v%3Du%2Ba_pt)
![v=0+a_p\times \frac{2v_m}{a_p}](https://tex.z-dn.net/?f=v%3D0%2Ba_p%5Ctimes%20%5Cfrac%7B2v_m%7D%7Ba_p%7D)
![v=2v_m](https://tex.z-dn.net/?f=v%3D2v_m)
(b)time taken by police car is
![t=\frac{2v_m}{a_p}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B2v_m%7D%7Ba_p%7D)
(c)Distance travel by police car![=\frac{2v_m^2}{a_p}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2v_m%5E2%7D%7Ba_p%7D)