Answer:
in t seconds, Car A sweep out t radian { i.e θ = t radian }
Explanation:
Given the data in the question;
4 toy racecars are racing along a circular race track.
They all start at 3 o'clock position and moved CCW
Car A is constantly 2 feet from the center of the race track and moves at a constant speed
so maximum distance from the center = 2 ft
The angle Car A sweeps out increases at a constant rate of 1 radian per second.
Rate of change of angle = dθ/dt = 1
Now,
since dθ/dt = 1
Hence θ = t + C
where C is the constant of integration
so at t = 0, θ = 0, the value of C will be 0.
Hence, θ = t radian
Therefore, in t seconds, Car A sweep out t radian { i.e θ = t radian }
Answer:
Explanation:
The formula for the double-slit interference pattern is:
where:
m is the order of the maximum
is the wavelength
D is the distance between the slits and the screen
d is the distance between the two slits
If we assume for instance m=5, the formula gives us the distance between the fifth maximum and the first maximum. However, this will also gives us the distance between the fifth minimum and the first minimum, as the minima fall exactly between two maxima.
Therefore, if we use:
We can find the wavelength of the light:
Answer:
Pumping a well lowers the water level around the well to form a cone of depression in the water table. If the cone of depression extends to other nearby wells, the water level in those wells will be lowered. The cone develops in both shallow water-table and deeper confined-aquifer systems.
Explanation:
The backpack has been lifted for 0.58 m
Explanation:
The work done in lifting an object is equal to the gain in gravitational potential energy of the object:
where
(mg) is the weight of the object, with
m being the mass
g being the acceleration due to gravity
is the change in height of the object
In this problem,
W = 110 J is the work done
mg = 190 N is the weight of the backpack
Solving for , we find the change in height of the backpack:
Learn more about work:
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Answer:
v = 8.57 m/s
Explanation:
As we know that the wagon is pulled up by string system
So the net force on the wagon along the inclined is due to tension in the rope and component of weight along the inclined plane
So as per work energy theorem we know that
work done by tension force + work done by force of gravity = change in kinetic energy
so we have
m = 38.2 kg
d = 85.4 m
so now we have