Answer:
w = 1.14 rad/s
Explanation:
Moment of inertia ()
Moment of inertia = 35 * 0.9^2 / 3 = 9.45 kg m^2
Impulse
("An impulse is equal to the net force on the object times the time period over which this force is applied. ")
Impulse = 0.5 * [16 - (- 20)]
Impulse = 18 kg m/s
angular momentum = M of I *angular speed w
= 9.45 w
= impulse * distance
= 18 * 0.6
9.45 w = 18 * 0.6
w = 1.14 rad/s
-- IF the meter stick is oriented perpendicular to the direction from
it to you, then it appears 1 meter long to you, but very very skinny.
The Lorentz contraction only applies in the direction of motion.
-- If the length of the meter stick is pointing toward you, then . . .
L = L₀ √ (1 - v²/c²)
= √ (1 - 0.36)
= √ (0.64) = 0.8 meter .
Answer:
Approximately 3.03 seconds.
Explanation:
The distance traveled in the vertical direction is given by the kinematic equation:
![\displaystyle y = v_{iy}t + \frac{1}{2}at^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20v_%7Biy%7Dt%20%2B%20%5Cfrac%7B1%7D%7B2%7Dat%5E2)
Where <em>v</em>_<em>iy</em> and <em>a</em> are the initial velocity and acceleration of the object, respectively, in the vertical direction.
Because the rock is thrown horizontally, there is no horizontal velocity. Therefore:
![\displaystyle y = \frac{1}{2} at^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20at%5E2)
The vertical acceleration is simply gravity <em>g. </em>This, this yields the general equation:
![\displaystyle y = \frac{1}{2}gt^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dgt%5E2)
Substitute 45 m for <em>y</em> and solve for time <em>t:
</em>![\displaystyle \begin{aligned} (45\text{ m}) & = \frac{1}{2}(9.8\text{ m/s$^2$})t^2 \\ \\ t^2 & =\frac{450}{49}\text{ s$^2$} \\ \\ & \approx 3.03\text{ s}\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20%2845%5Ctext%7B%20m%7D%29%20%26%20%3D%20%5Cfrac%7B1%7D%7B2%7D%289.8%5Ctext%7B%20m%2Fs%24%5E2%24%7D%29t%5E2%20%5C%5C%20%5C%5C%20t%5E2%20%26%20%3D%5Cfrac%7B450%7D%7B49%7D%5Ctext%7B%20s%24%5E2%24%7D%20%20%5C%5C%20%5C%5C%20%20%26%20%5Capprox%203.03%5Ctext%7B%20s%7D%5Cend%7Baligned%7D)
Therefore, it will take approximately 3.03 seconds for the rock to fall 45 meters vertically.
Answer:
4440N
Explanation:
Given parameters:
Mass = 444kg
Acceleration due to gravity = 10m/s²
Unknown:
Tension in the cable = ?
Solution:
The tension in the cable is due to the weight of the mass it is suspending.
So;
Weight = mass x acceleration due to gravity
Weight = 444 x 10 = 4440N
Answer:
c. streak
Explanation:
Pyrite is a mineral that looks like gold but actually is iron disulfide.
Pyrite and gold have comparable luster.
Pyrite and gold have different tones of yellow. This can be determined by their streak. Streak is the powdered form of a mineral. A streak of mineral can be found just by rubbing the mineral on a rough surface and comparing the colors.
Pyrite is diamagnetic which is not a strong form of magnetism. Gold is also diamagnetic