Answer:
h = 61.16[cm]
Explanation:
In order to solve this problem we must use the principle of energy conservation. Which tells us that energy is conserved or equal in two points in space for an instant in time.
In this way we will have the points A & B, the point A for the moment before shooting and the moment B when the Dart is in the highest position.
In this way the energy is:

Now we must identify the energies in the moments A & B. in the instant A we have the spring compressed, in such a way that only elastic energy is stored.

where:
k = spring constant = 20 [N/m]
x = distance = 0.3 [m]
Now, at the moment when the dart is in the highest position (B), it means that it does not go up anymore, that is, its movement is zero, and therefore its kinetic energy is zero, in this way the energy at the highest point corresponds to potential energy.

where:
m = mass = 0.15[kg]
g = gravity acceleration = 9.81 [m/s²]
h = elevation [m]
Now replacing:
![\frac{1}{2} *20*(0.3)^{2}=0.15*9.81*h\\0.9=1.4715*h\\h=0.61[m]\\or\\h = 61.16[cm]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A20%2A%280.3%29%5E%7B2%7D%3D0.15%2A9.81%2Ah%5C%5C0.9%3D1.4715%2Ah%5C%5Ch%3D0.61%5Bm%5D%5C%5Cor%5C%5Ch%20%3D%2061.16%5Bcm%5D)
Answer:
The temperature change per compression stroke is 32.48°.
Explanation:
Given that,
Angular frequency = 150 rpm
Stroke = 2.00 mol
Initial temperature = 390 K
Supplied power = -7.9 kW
Rate of heat = -1.1 kW
We need to calculate the time for compressor
Using formula of compression



Put the value into the formula


We need to calculate the rate of internal energy
Using first law of thermodynamics


Put the value into the formula


We need to calculate the temperature change per compression stroke
Using formula of rate of internal energy


Put the value into the formula


Hence, The temperature change per compression stroke is 32.48°.
Black holes is exists
Black holes is highly gravitional wave field in space
Answer:
The strength of the electric field is
.
Explanation:
Given that,
Speed 
Time 
Angle = 45°
We need to calculate the acceleration
Using equation of motion




We need to calculate the strength of the electric field
Using relation of newton's second law and electric force



Put the value into the formula


Hence, The strength of the electric field is
.
Answer:
F=m*g is the formula and the answer is 19,620 kg
Explanation:
Since the formula is F=m*g and Earth's gravity is 9.81 m/s^2 all you need to do is multiply 2,000 by 9.81