Answer:
0.25223 seconds.
Explanation:
= Mass of bullet = 0.0146 kg
= Mass of block = 2.55 kg
v = Combined velocity
= Velocity of bullet = 816 m/s
g = Acceleration due to gravity = 9.81 m/s²
As linear momentum is conserved

Now
as the block (with the bullet in it) reverses direction and rises,

Equation of motion

The time t is 0.25223 seconds.
Answer:
Explanation:
To find the angular velocity of the tank at which the bottom of the tank is exposed
From the information given:
At rest, the initial volume of the tank is:

where;
height h which is the height for the free surface in a rotating tank is expressed as:

at the bottom surface of the tank;
r = 0, h = 0
∴
0 = 0 + C
C = 0
Thus; the free surface height in a rotating tank is:

Now; the volume of the water when the tank is rotating is:
dV = 2π × r × h × dr
Taking the integral on both sides;

replacing the value of h in equation (2); we have:


![V_f = \dfrac{ \pi \omega ^2}{g} \Big [ \dfrac{r^4}{4} \Big]^R_0](https://tex.z-dn.net/?f=V_f%20%3D%20%5Cdfrac%7B%20%5Cpi%20%5Comega%20%5E2%7D%7Bg%7D%20%5CBig%20%5B%20%20%5Cdfrac%7Br%5E4%7D%7B4%7D%20%5CBig%5D%5ER_0)
![V_f = \dfrac{ \pi \omega ^2}{g} \Big [ \dfrac{R^4}{4} \Big] --- (3)](https://tex.z-dn.net/?f=V_f%20%3D%20%5Cdfrac%7B%20%5Cpi%20%5Comega%20%5E2%7D%7Bg%7D%20%5CBig%20%5B%20%20%5Cdfrac%7BR%5E4%7D%7B4%7D%20%5CBig%5D%20---%20%283%29)
Since the volume of the water when it is at rest and when the angular speed rotates at an angular speed is equal.
Then 
Replacing equation (1) and (3)






Finally, the angular velocity of the tank at which the bottom of the tank is exposed = 10.48 rad/s
Answer:
a = Δv/t = (vf - vi)/t = (0 - 5)/4 = -1.25 m/s²
Explanation:
You may or may not need the negative sign, depending on how the question designer was thinking about the problem.
Within the system of the same star, the period of a planet's orbit is
proportional to the 3/2 power of its distance from the central body.
(Kepler's empirical third law of planetary motion, promoted to being
etched in stone by Newton's gravitation.)
(4) ^ 3/2 = <em>8 times</em> as long.
Answer:
0.8084g/cm³
Explanation:
For calculating density, mass is divided by volume.
Its units is commonly in grams per cubic centimeters.
Therefore,
density= mass/volume
= 404.2/500
=0.8084g/cm³