Answer:

Explanation:
<u>Diagonal Launch
</u>
It's referred to as a situation where an object is thrown in free air forming an angle with the horizontal. The object then describes a known path called a parabola, where there are x and y components of the speed, displacement, and acceleration.
The object will eventually reach its maximum height (apex) and then it will return to the height from which it was launched. The equation for the height at any time t is


Where vo is the magnitude of the initial velocity,
is the angle, t is the time and g is the acceleration of gravity
The maximum height the object can reach can be computed as

There are two times where the value of y is
when t=0 (at launching time) and when it goes back to the same level. We need to find that time t by making 

Removing
and dividing by t (t different of zero)

Then we find the total flight as

We can easily note the total time (hang time) is twice the maximum (apex) time, so the required time is

Answer:
a)

b)

Explanation:
a)
= mass of the asteroid = 43000 kg
= initial speed of asteroid = 7600 m/s
= final speed of asteroid = 5000 m/s
= Work done by the force on asteroid
Using work-change in kinetic energy theorem

b)
= magnitude of force on asteroid
= distance traveled by asteroid while it slows down = 1.4 x 10⁶ m
Work done by the force on the asteroid to slow it down is given as

A liquid has a definite volume but takes the shape of whatever object it's in.
Brainliest please! Hope this Helps!
Explanation:
First consider that each hand works as a fulcrum: a pivot point where the barbell can rotate.
Now consider only the left hand. If the center of mass of the barbell is between hands (in the middle) it is displaced respect the fulcrum, therefore the weight which is pushing the bar downwards becomes a rotational force. The same thing happens to the other hand. Now, if more weight is added to the left hand the center of mass is displaced towards the left hand and depending how much weight is added, the center of mass will change its position and therefore the torque each hand experiences changes.
If the center of mass is still between hands: The torque remains almost the same changing only the magnitudes but not the direction.
If the center of mass is on the hand: there is no torque for the left hand because there is no leaver.
If the center of mass is to the left: now the torque changes direction and both hands need to stop it in the same direction.
(see diagram below)
Answer:
The age of living tree is 11104 years.
Explanation:
Given that,
Mass of pure carbon = 100 g
Activity of this carbon is = 6.5 decays per second = 6.5 x60 decays/min =390 decays/m
We need to calculate the decay rate
....(I)
Where, N = number of radio active atoms
=half life
We need to calculate the number of radio active atoms
For 

Where,
=Avogadro number


For 



Put the value in the equation (I)


100 g carbon will decay with rate

We need to calculate the total half lives






We need to calculate the age of living tree
Using formula of age



Hence, The age of living tree is 11104 years.