To solve this problem it is necessary to apply the concepts related to the conservation of energy, specifically the potential elastic energy against the kinetic energy of the body.
By definition this could be described as
Where
k = Spring constant
x = Displacement
m = mass
v = Velocity
This point is basically telling us that all the energy in charge of compressing the spring is transformed into the energy that allows the 'impulse' seen in terms of body speed.
If we rearrange the equation to find v we have
Our values are given as
Replacing at our equation we have then,
Therefore he speed of the car before impact, assuming no energy is lost in the collision with the wall is 2.37m/s
and C. taste, odor, and texture
Answer:
i) E = 269 [MJ] ii)v = 116 [m/s]
Explanation:
This is a problem that encompasses the work and principle of energy conservation.
In this way, we establish the equation for the principle of conservation and energy.
i)
![W_{1-2}= (F*d) - (m*g*h)\\W_{1-2}=(500000*2.5*10^3)-(40000*9.81*2.5*10^3)\\W_{1-2}= 269*10^6[J] or 269 [MJ]](https://tex.z-dn.net/?f=W_%7B1-2%7D%3D%20%28F%2Ad%29%20-%20%28m%2Ag%2Ah%29%5C%5CW_%7B1-2%7D%3D%28500000%2A2.5%2A10%5E3%29-%2840000%2A9.81%2A2.5%2A10%5E3%29%5C%5CW_%7B1-2%7D%3D%20269%2A10%5E6%5BJ%5D%20or%20269%20%5BMJ%5D)
At that point the speed 1 is equal to zero, since the maximum height achieved was 2.5 [km]. So this calculated work corresponds to the energy of the rocket.
Er = 269*10^6[J]
ii ) With the energy calculated at the previous point, we can calculate the speed developed.
![E_{k2}=0.5*m*v^2\\269*10^6=0.5*40000*v^2\\v=\sqrt{\frac{269*10^6}{0.5*40000} }\\ v=116[m/s]](https://tex.z-dn.net/?f=E_%7Bk2%7D%3D0.5%2Am%2Av%5E2%5C%5C269%2A10%5E6%3D0.5%2A40000%2Av%5E2%5C%5Cv%3D%5Csqrt%7B%5Cfrac%7B269%2A10%5E6%7D%7B0.5%2A40000%7D%20%7D%5C%5C%20v%3D116%5Bm%2Fs%5D)
Answer:
Modern telescopes are capable of seeing bright galaxies up to about 10000 millions light years away
Explanation:
A telescope is a tool that astronomers use to see faraway objects. Most telescopes work by using curved mirrors to gather and focus light from the night sky. The bigger the mirrors or lenses, the more light the telescope can gather.
Modern telescopes gather information from the electromagnetic spectrum far beyond the range of visible light.
The farthest bright galaxies, that the modern telescope is capable of seeing is 10000 millions light years away.
Answer:
The magnitude of force per unit length of one wire on the other is 
and the direction is away from one another
The magnitude of force per unit length of one wire on the other is and the direction is towards each other.
Explanation:
= Vacuum permeability = 
= Current in first wire = 2.9 A
= Current in second wire = 5.3 A
r = Gap between the wires = 11 cm
Force per unit length
The magnitude of force per unit length of one wire on the other is and the direction is away from one another
The magnitude of force per unit length of one wire on the other is and the direction is towards each other.
