Answer:
h = 157.70 meters
Explanation:
Given the following data;
Mass = 5.5 kg
Gravitational potential energy = 8500 Joules
We know that acceleration due to gravity is equal to 9.8 m/s².
To find the height of the object;
Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.
Mathematically, gravitational potential energy is given by the formula;
Where;
G.P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Substituting into the formula, we have;
8500 = 5.5*9.8*h
8500 = 53.9h
h = 8500/53.9
h = 157.70 m
Answer:
Explanation:
let t be time since the second diamond is released
a) y = ½g(t + 1)²
b) y' = ½g(t)²
c)
25 = ½g(t + 1)² - ½gt²
25 = ½g(t² + 2t + 1) - ½gt²
25 = ½gt² + gt + ½g - ½gt²
25 = g(t + ½)
t + ½ = 25 / g
t = (25 / g) - ½
t = (25 / 9.8) - ½
t = 2.05102... ≈ 2.1 s
Answer:
umm
Explanation:
i don't speak Spanish sorry
Answer:
F = 2.668*10_-6[N]
Explanation:
We can calculate this force using the law of universal gravitation raised by Isaac Newton
![m_{t}=20000[kg]\\m_{c}= 200[kg]\\r = 10[m]\\G = 6.67*10^{-11}[\frac{N*m^{2} }{kg} ] \\](https://tex.z-dn.net/?f=m_%7Bt%7D%3D20000%5Bkg%5D%5C%5Cm_%7Bc%7D%3D%20200%5Bkg%5D%5C%5Cr%20%3D%2010%5Bm%5D%5C%5CG%20%3D%206.67%2A10%5E%7B-11%7D%5B%5Cfrac%7BN%2Am%5E%7B2%7D%20%7D%7Bkg%7D%20%5D%20%5C%5C)
And the force is given by the following expression:
![F=G*\frac{m_{t}*m_{c}}{r^{2} } \\F=6.67*10^{-11} *\frac{20000*200}{10^{2} }\\F=2.668*10^{-6} [N]](https://tex.z-dn.net/?f=F%3DG%2A%5Cfrac%7Bm_%7Bt%7D%2Am_%7Bc%7D%7D%7Br%5E%7B2%7D%20%7D%20%5C%5CF%3D6.67%2A10%5E%7B-11%7D%20%2A%5Cfrac%7B20000%2A200%7D%7B10%5E%7B2%7D%20%7D%5C%5CF%3D2.668%2A10%5E%7B-6%7D%20%5BN%5D)
Answer:
Multiply the x values with -1.
Explanation:
By multiplying the numbers by one, you are changing them to be the opposite of their original state.
You multiply the numbers that are in the x-value column because you are reflecting the image over the y-axis.
<em>Hope this helped and good luck!</em>
