I know you are Indian by your question, HC Verma class 9 or 11 !!
if you got any problem, comment !!
Answer:
A) 32.22 N/m b) 0.0156 m c) 4 Hz
Explanation:
Using Hooke's law;
T = 2π √m/k where m is mass of the body in kg and k is the force constant of the spring N/m and T is the period of vibration in s.
M = 51 g = 51 / 1000 in kg = 0.051kg
Make k subject of the formula
T/2π = √m / k
Square both sides
T^2 / 4π^2 = m/k
Cross multiply
K = 4 π^2 * m/T^2
K = 4 * 3.142 * 3.142 * 0.051/ 0.25^2= 32.22N/m
B) using Hooke's law;
F = k e where e is the maximum displacement of the spring from equilibrium point called amplitude
F= weight of the body = mass * acceleration due to gravity = 0.051*9.81
0.5 = 32.22 * e
e = 0.5/32.22 = 0.0156 m
C) frequency is the number of cycle completed in a second = 1 / period
F = 1 / 0.25 = 4Hz
The answer is a bit confusing, so I did some research and fount the original question. This is the complete question:
"<span>If
measurements of a gas are 75L and 300 kilopascals and then the gas is
measured a second time and found to be 50L, describe what had to happen
to the pressure (if temperature remained constant). Include which law
supports this observation".
From that:
1) Data:
V1 = 75 liter
P1 = 300 kPa
V2 = 50 liter
P2 = x
T = constant.
2) Analysis (physical law)
Boyle's law states that the volume of a fixed amount of gas, at constant temperarature, is inversely related with the pressure.
In mathematical form that statement becomes into this equation:
PV = constant (at constant T)
=> P1V1 = P2V2.
Then, the decreasing of the volumen (compression) is accompanied by an increase of the pressure.
3) So, using Boyle's law with the data given:
300 kPa * 75 liter = x * 50 liter
=> x = 300 kPa * 75 liter / 50 liter = 450 kPa.
Answer: following Boyle's law, when the gas passed from 75 liter to 50 liter the pressure had to increase from 300 kPa to 450 kPa.
</span>
Answer:
10 m^3 /s
Explanation:
1 m X 2 m X 5 m /s = 10 m^3/s
Answer:
EP = 49.05Joules (J)
Explanation:
The equation for Potential energy (EP) is
EP = m g h
We are given the values below (do convert them into SI units)
m = 0.0025kg
h = 2000m
g = 9.81m/
Substitute the values into the equation and solve for EP
EP = 0.0025 * 2000 * 9.81
EP = 49.05Joules (J)
