Work done against gravity to climb upwards is always stored in the form of gravitational potential energy
so we can say
![W = mgh](https://tex.z-dn.net/?f=W%20%3D%20mgh)
here h = vertical height raised
so here we know that
![h = 14.1 sin7.3 km](https://tex.z-dn.net/?f=h%20%3D%2014.1%20sin7.3%20km)
here we have
![h = 1.79 km](https://tex.z-dn.net/?f=h%20%3D%201.79%20km)
now from above equation
![W = (83 kg)(9.81 m/s^2)(1.79 \times 10^3 m)](https://tex.z-dn.net/?f=W%20%3D%20%2883%20kg%29%289.81%20m%2Fs%5E2%29%281.79%20%5Ctimes%2010%5E3%20m%29)
![W = 1.46 \times 10^6 J](https://tex.z-dn.net/?f=W%20%3D%201.46%20%5Ctimes%2010%5E6%20J)
so work done will be given by above value
Answer:
Amorphous solids are composed of atoms or molecules that are in no particular order. Each particle is in a particular spot, but the particles are in no organized pattern. Examples include rubber and wax. Crystalline solids have a very orderly, three-dimensional arrangement of atoms or molecules
Explanation:
The speed of a wave is determined by the product of the frequency and the wavelength; we already have the wavelength and the frequency, so all we need to do is multiply them by each other and use our proper unit of measure.
Velocity (speed) = Frequency x Wavelength
V = 250 x 6
V = 1500
Your answer is 1500 m/s.
I hope this helps!
Answer:
The speed of the vehicles immediately after the collision is 5.84 m/s.
Explanation:
The speed of the vehicles after the collision can be found by conservation of linear momentum:
![p_{i} = p_{f}](https://tex.z-dn.net/?f=%20p_%7Bi%7D%20%3D%20p_%7Bf%7D%20)
![m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = m_{1}v_{1_{f}} + m_{2}v_{2_{f}}](https://tex.z-dn.net/?f=%20m_%7B1%7Dv_%7B1_%7Bi%7D%7D%20%2B%20m_%7B2%7Dv_%7B2_%7Bi%7D%7D%20%3D%20m_%7B1%7Dv_%7B1_%7Bf%7D%7D%20%2B%20m_%7B2%7Dv_%7B2_%7Bf%7D%7D%20)
Where:
m₁: is the mass of the car = 0.5 ton = 500 kg
m₂: is the mass of the lorry = 9.5 ton = 9500 kg
: is the initial speed of the car = 40 km/h = 11.11 m/s
: is the initial speed of the lorry = 20 km/h = 5.56 m/s
: is the final speed of the car =?
: is the final speed of the lorry =?
Since the two vehicles become tightly locked together after the collision
=
:
![m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = v(m_{1} + m_{2})](https://tex.z-dn.net/?f=%20m_%7B1%7Dv_%7B1_%7Bi%7D%7D%20%2B%20m_%7B2%7Dv_%7B2_%7Bi%7D%7D%20%3D%20v%28m_%7B1%7D%20%2B%20m_%7B2%7D%29%20)
![v = \frac{m_{1}v_{1_{i}} + m_{2}v_{2_{i}}}{m_{1} + m_{2}} = \frac{500 kg*11.11 m/s + 9500 kg*5.56 m/s}{500 kg + 9500 kg} = 5.84 m/s](https://tex.z-dn.net/?f=%20v%20%3D%20%5Cfrac%7Bm_%7B1%7Dv_%7B1_%7Bi%7D%7D%20%2B%20m_%7B2%7Dv_%7B2_%7Bi%7D%7D%7D%7Bm_%7B1%7D%20%2B%20m_%7B2%7D%7D%20%3D%20%5Cfrac%7B500%20kg%2A11.11%20m%2Fs%20%2B%209500%20kg%2A5.56%20m%2Fs%7D%7B500%20kg%20%2B%209500%20kg%7D%20%3D%205.84%20m%2Fs%20)
Therefore, the speed of the vehicles immediately after the collision is 5.84 m/s.
I hope it helps you!
Answer:
The altitude of the plane is 379.5 m.
Explanation:
Initial horizontal velocity, u = 59.1 m/s
Horizontal distance, d = 521 m
let the time taken by the packet to cover the distance is t.
Horizontal distance = horizontal velocity x time
521 = 59.1 x t
t = 8.8 s
let the vertical height is h .
Use second equation of motion in vertical direction.
![h = u t + 0.5 gt^2\\\\h = 0 + 4.9 \times 8.8\times8.8\\\\h= 379.5 m](https://tex.z-dn.net/?f=h%20%3D%20u%20t%20%20%2B%200.5%20gt%5E2%5C%5C%5C%5Ch%20%3D%200%20%2B%204.9%20%5Ctimes%208.8%5Ctimes8.8%5C%5C%5C%5Ch%3D%20379.5%20m)