CO2 and N2O keep the energy that gets to Earth from the sun inside the atmosphere. Without greenhouse gases, our planet would be too cold. But due to the recent increase in greenhouse gases, more energy released from the sun is contained in the Earth, heating it up.
Answer:
The time constant is
Explanation:
From the question we are told that
The spring constant is
The mass of the ball is
The amplitude of the oscillation t the beginning is
The amplitude after time t is
The number of oscillation is
Generally the time taken to attain the second amplitude is mathematically represented as
Here T is the period of oscillation
=>
=>
Generally the amplitude at time t is mathematically represented as
Here a is the damping constant so
at ,
So
=>
taking natural log of both sides
=>
=>
Generally the time constant is mathematically represented as
=>
=>
Answer:
The maximum safe speed of the car is 30.82 m/s.
Explanation:
It is given that,
The formula that models the maximum safe speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature r r, is in feet is given by :
.........(1)
A highway crew measures the radius of curvature at an exit ramp on a highway as 380 feet, r = 380 feet
Put the value of r in equation (1) as :
v = 30.82 m/s
So, the maximum safe speed of the car is 30.82 m/s. Hence, this is the required solution.
If you take a fluid (i.e. air or water) and heat it, the portion that is heated usually expands. The same mass takes up more volume and as a consequence the heated portion becomes less dense than the portion that is<span><span> not heated.</span> </span>
The watch hand covers an angular displacement of 2π radians in 60 seconds.
ω = 2π/60
ω = 0.1 rad/s
v = ωr
v = 0.1 x 0.08
v = 8 x 10⁻³ m/s