Answer:
r = 3.787 10¹¹ m
Explanation:
We can solve this exercise using Newton's second law, where force is the force of universal attraction and centripetal acceleration
F = ma
G m M / r² = m a
The centripetal acceleration is given by
a = v² / r
For the case of an orbit the speed circulates (velocity module is constant), let's use the relationship
v = d / t
The distance traveled Esla orbits, in a circle the distance is
d = 2 π r
Time in time to complete the orbit, called period
v = 2π r / T
Let's replace
G m M / r² = m a
G M / r² = (2π r / T)² / r
G M / r² = 4π² r / T²
G M T² = 4π² r3
r = ∛ (G M T² / 4π²)
Let's reduce the magnitudes to the SI system
T = 3.27 and (365 d / 1 y) (24 h / 1 day) (3600s / 1h)
T = 1.03 10⁸ s
Let's calculate
r = ∛[6.67 10⁻¹¹ 3.03 10³⁰ (1.03 10⁸) 2) / 4π²2]
r = ∛ (21.44 10³⁵ / 39.478)
r = ∛(0.0543087 10 36)
r = 0.3787 10¹² m
r = 3.787 10¹¹ m
Answer:
Explanation:
Let us assume that the radius of the wire, r = 0.8 mm = 0.0008 m
EMF of the battery, V = 12 V
Slope of I versus 1/d, m = 600 A-m
The resistance of any material is given by :
d is the length of wire
Since,
So, the resistivity of the material of which the wire is made is .
Complete Question
One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. Having recently studied optics in your physics class, you're not too surprised to see that the patch of light seems to be a circular diffraction pattern. It appears that the central maximum is about 2 cm across, and you estimate that the distance from the window shade to the wall is about 5 m.
Required:
Estimate the diameter of the pinhole.
Answer:
The diameter is
Explanation:
From the question we are told that
The central maxima is
The distance from the window shade is
The average wavelength of the sun is mathematically evaluated as
Generally the visible light spectrum has a wavelength range between 400 nm to 700 nm
So the initial wavelength of the sun is
and the final wavelength is
Substituting this into the above equation
The diameter is evaluated as
substituting values
Answer:
Explanation:
The relationship between angular acceleration α and torque τ is given by :
Here,
is the moment of inertia. It depends on the mass and the distance from the axis of rotation.
is the angular acceleration
Hence, this is the required solution.
He will swim 180m if he stays at a constant rate of 30m/min
Explanation:
First I’m going to use 6 min for the 5min 60s
Then if he swims 30m/min then I’m 6min, 30•6 he’ll swim 180m
Hope this helps!