Answer:
V = 90.51 m/s
Explanation:
From the given information:
Initial speed (u) = 0
Distance (S) = 391 m
Acceleration (a) = 18.9 m/s²
Using the relation for the equation of motion:
v² - u² = 2as
v² - 0² = 2as
v² = 2as
![v = \sqrt{2as}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2as%7D)
![v = \sqrt{2*18.9*391}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2%2A18.9%2A391%7D)
v = 121.57 m/s
After the parachute opens:
The initial velocity = 121.57 m/ss
Distance S' = 332 m
Acceleration = -9.92 m/s²
How fast is the racer can be determined by using the relation:
![V= \sqrt{v^2 + 2aS'}](https://tex.z-dn.net/?f=V%3D%20%20%5Csqrt%7Bv%5E2%20%2B%202aS%27%7D)
![V = \sqrt{121.57^2+ 2 (-9.92)(332)}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B121.57%5E2%2B%202%20%28-9.92%29%28332%29%7D)
V = 90.51 m/s
Explanation:
The given data is as follows.
Velocity of bullet,
= 814.8 m/s
Observer distance from marksman, d = 24.7 m
Let us assume that time necessary for report of rifle to reach the observer is t and will be calculated as follows.
t =
(velocity in air = 343 m/s)
= 0.072 sec
Now, before the observer hears the report the distance traveled by the bullet is as follows.
![d_{b} = c_{b} \times t](https://tex.z-dn.net/?f=d_%7Bb%7D%20%3D%20c_%7Bb%7D%20%5Ctimes%20t)
= ![814.8 \times 0.072](https://tex.z-dn.net/?f=814.8%20%5Ctimes%200.072)
= 58.66
= 59 (approx)
Thus, we can conclude that each bullet will travel a distance of 59 m.
Answer: The atomic number is the number of protons in an atom, and isotopes have the same atomic number but differ in the number of neutrons. The number of protons in an atom is called its atomic number. This number is very important because it is unique for atoms of a given element. All atoms of an element have the same number of protons, and every element has a different number of protons in its atoms.
Explanation:
Answer:
The speed does it head toward the goal = 41.87 ![\frac{m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%7D)
Explanation:
Mass = 0.107 kg
Initial velocity ( u ) = 0
Force (F) = 28 N
Time = 0.16 sec
From newton's second law, Force = mass × acceleration
⇒ F = m × a
⇒ 28 = 0.107 × a
⇒ a = 261.7
--------- (1)
This is the value of acceleration.
Final speed of the mass is calculated by the equation V = U + at
⇒ U = 0 because mass in in rest position at start.
⇒ V = a t
Put the values of acceleration and time in above formula we get
⇒ V = 261.7 × 0.16
⇒ V = 41.87 ![\frac{m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%7D)
Therefore the speed does it head toward the goal = 41.87 ![\frac{m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%7D)
Answer: Hot spot
The volcanic hot spot is an area in the mantle from which heat rises as a thermal plume from deep in the Earth.