Answer:
K = 25351. 69 N / m
Explanation:
Given : Fk = 515 N , v = 1.8 m /s , d = 5.0 m , β = 22.0 ° , m = 150 kg
Using the work done by all forces at initial and the end can determine the constant of the spring
Ws + We - Fk = Em - Ef
- ¹/₂ * K * x² + m*g*h - F*d = 0 - ¹/₂ * m * v²
Also the round motion part
K* x = F + We
K * x = F + m*g*h
Replacing numeric to equal the equations and find the constant
¹/₂ * K * x² = 150*9.8* 5* sin (22°) - 5150* 5 + ¹/₂*150*(1.8m/s)²
K * x² = 421.358
Now use the other equation
K * x = 515 + 150*9.8* sin(22°)
K * x = 3268.35
Both equation give x' as a
x = 0.1289 m now using in any equation can find K
K = 25351. 69 N / m
Answer:

Explanation:
Given that,
Charge, Q = 2.1 C
The radius of sphere, r = 1.3 cm = 0.013 m
We need to find the charge per unit volume for this situation. It can be calculated a follows:

So, the charge per unit volume is
.
Answer:
Electric field at a distance of 1.45 cm will be 
Explanation:
We have given the distance d = 1.45 cm = 0.0145 m
And the potential difference 
There is a relation between potential difference and electric field
Electric field at a distance d due to a potential difference is given by
, here E is electric field, V is potential difference and d is distance
So 
The kinetic theory of gases is a simple, historically significant model of the thermodynamic behavior of gases, with which many principal concepts of thermodynamics were established. The model describes a gas as a large number of identical submicroscopic particles, all of which are in constant, rapid, random motion