Answer:
Velocity = 0.5 m/s South (A)
Explanation:
You need to determine the average rate of velocity.
The equation you will use is velocity = displacement/time
The displacement is 30m South.
The time is 60 seconds.
Plug into the equation Velocity = 30m South/60 s
Velocity = 0.5 m/s South
Answers and Explanation:
The step by step explanation is clearly screenshot in the two attachments below for easy understanding.
NOTE:
A uniform charged solid sphere of radius R carries a total charge Q, it therefore has its charge density as Q/(4/3ΠR³). And to find magnetic moment of a sphere, the sphere has to be divided into infinitesimal charges.
Magnetic Dipole Moment of the sphere would be given as 1/5QwR²z
(Check attachments below for clarity)
Answer:
λ = V / f the wavelength versus the frequency
V = f λ and V (speed) proportional λ for a fixed frequency
F = f^2 * (M / L) * λ^2 = (f * λ)^2 * (M / L)^2 force (tension) on string at a given frequency
F2 / F1 = (λ2 / λ1)^2 other items are constant
Let λ1 = 6 then λ2 must be 3/2 λ1 for a constant length
F2 / F1 = (6 / 4)^2 = 9/4
The tension must be increased to 9 / 4 of the original tension
Check: if the frequency is fixed then V will be larger for a larger wavelength (situation 2)
One can also write V = (F / (M / L))^1/2
Then for fixed M L
F2 / F1 = (V2 / V1)^2
Since V = f λ Velocity is proportional to λ for a fixed frequency
Then if V2 / V1 = 3 / 2 F2 = 9/4 F1
Answer:
#_time = 7.5 10⁴ s
Explanation:
In order for the astronaut to be younger than the people on earth, it follows that the speed of light has a constant speed in vacuum (c = 3 108 m / s), therefore with the expressions of special relativity we have.
t =
where t_p is the person's own time in an immobile reference frame,
let's calculate
we assume that the speed of the space station is constant
t_ = 0.99998666657 s
therefore the time change is
Δt = t - t_p
Δt = 1 - 0.9998666657
Δt = 1.3333 10⁻⁵ s
this is the delay in each second, therefore we can use a direct rule of proportions. If Δt was delayed every second, how much second (#_time) is needed for a total delay of Δt = 1 s
#_time = 1 / Δt
#_time =
#_time = 7.5 10⁴ s
Answer:
100°C
Explanation:
The heat gained by the ice equals the heat lost by the steam, so the total heat transfer equals 0.
Heat lost by the steam as it cools to 100°C:
q = mCΔT
q = (3 kg) (2.00 kJ/kg/K) (100°C − 120°C)
q = -120 kJ
Total heat so far is negative.
Heat lost by the steam as it condenses:
q = -mL
q = -(3 kg) (2256 kJ/kg)
q = -6768 kJ
Heat absorbed by the ice as it warms to 0°C:
q = mCΔT
q = (6 kg) (2.11 kJ/kg/K) (0°C − (-40°C))
q = 506.4 kJ
Heat absorbed by the ice as it melts:
q = mL
q = (6 kg) (335 kJ/kg)
q = 2010 kJ
Heat absorbed by the water as it warms to 100°C:
q = mCΔT
q = (6 kg) (4.18 kJ/kg/K) (100°C − 0°C)
q = 2508 kJ
The total heat absorbed by the ice by heating it to 100°C is 5024.4 kJ.
If the steam is fully condensed, it loses a total of -6888 kJ.
Therefore, the steam does not fully condense. The equilibrium temperature is therefore 100°C