Answer:
(a) The range of the projectile is 31,813.18 m
(b) The maximum height of the projectile is 4,591.84 m
(c) The speed with which the projectile hits the ground is 670.82 m/s.
Explanation:
Given;
initial speed of the projectile, u = 600 m/s
angle of projection, θ = 30⁰
acceleration due to gravity, g = 9.8 m/s²
(a) The range of the projectile in meters;
![R = \frac{u^2sin \ 2\theta}{g} \\\\R = \frac{600^2 sin(2\times 30^0)}{9.8} \\\\R = \frac{600^2 sin (60^0)}{9.8} \\\\R = 31,813.18 \ m](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7Bu%5E2sin%20%5C%202%5Ctheta%7D%7Bg%7D%20%5C%5C%5C%5CR%20%3D%20%5Cfrac%7B600%5E2%20sin%282%5Ctimes%2030%5E0%29%7D%7B9.8%7D%20%5C%5C%5C%5CR%20%3D%20%5Cfrac%7B600%5E2%20sin%20%2860%5E0%29%7D%7B9.8%7D%20%5C%5C%5C%5CR%20%3D%2031%2C813.18%20%5C%20m)
(b) The maximum height of the projectile in meters;
![H = \frac{u^2 sin^2\theta}{2g} \\\\H = \frac{600^2 (sin \ 30)^2}{2\times 9.8} \\\\H = \frac{600^2 (0.5)^2}{19.6} \\\\H = 4,591.84 \ m](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7Bu%5E2%20sin%5E2%5Ctheta%7D%7B2g%7D%20%5C%5C%5C%5CH%20%3D%20%5Cfrac%7B600%5E2%20%28sin%20%5C%2030%29%5E2%7D%7B2%5Ctimes%209.8%7D%20%5C%5C%5C%5CH%20%3D%20%5Cfrac%7B600%5E2%20%280.5%29%5E2%7D%7B19.6%7D%20%5C%5C%5C%5CH%20%3D%204%2C591.84%20%5C%20m)
(c) The speed with which the projectile hits the ground is;
![v^2 = u^2 + 2gh\\\\v^2 = 600^2 + (2 \times 9.8)(4,591.84)\\\\v^2 = 360,000 + 90,000.064\\\\v = \sqrt{450,000.064} \\\\v = 670.82 \ m/s](https://tex.z-dn.net/?f=v%5E2%20%3D%20u%5E2%20%2B%202gh%5C%5C%5C%5Cv%5E2%20%3D%20600%5E2%20%2B%20%282%20%5Ctimes%209.8%29%284%2C591.84%29%5C%5C%5C%5Cv%5E2%20%3D%20360%2C000%20%2B%2090%2C000.064%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7B450%2C000.064%7D%20%5C%5C%5C%5Cv%20%3D%20670.82%20%5C%20m%2Fs)
Answer: option B
Explanation: when a neutral atom loses an electron or gains a positive charge electron, it becomes a positive ion (positively charged) and when an neutral atom gains an electronic charge or losses a positive charge electron, it becomes a negative ion (negatively charged).
Answer:
Tides on our planet are caused by the gravitational pull of the Moon and Sun. Earth's oceans "bulge out" because the Moon's gravity pulls a little harder on one side of our planet (the side closer to the Moon) than it does on the other. The Sun's gravity raises tides, too, but lunar tides are twice as big.
Because mass and distance determine gravity, so the more mass you have, the more gravity.
The sound wave will have traveled 2565 m farther in water than in air.
Answer:
Explanation:
It is known that distance covered by any object is directly proportional to the velocity of the object and the time taken to cover that distance.
Distance = Velocity × Time.
So if time is kept constant, then the distance covered by a wave can vary depending on the velocity of the wave.
As we can see in the present case, the velocity of sound wave in air is 343 m/s. So in 2.25 s, the sound wave will be able to cover the distance as shown below.
Distance = 343 × 2.25 =771.75 m
And for the sound wave travelling in fresh water, the velocity is given as 1483 m/s. So in a time interval of 2.25 s, the distance can be determined as the product of velocity and time.
Distance = 1483×2.25=3337 m.
Since, the velocity of sound wave travelling in fresh water is greater than the sound wave travelling in air, the distance traveled by sound wave in fresh water will be greater.
Difference in distance covered in water and air = 3337-772 m = 2565 m
So the sound wave will have traveled 2565 m farther in water than in air.