Answer:
the period of the motion will increase by√2.
Explanation:
Given that the motion you are talking about is circular motion of a mass attached to the end of a string. I speculated that from the word usage in the question(e.g radius instead of length, tension, period). Given this is so we will have to recall the formula for the centripetral force Fc acting on the object which will be equal in magnitude to the tension in the string and will be given by,
if we want the above defined tension to remain constant when we double the mass and keep the radius of the string constant, the the w(angular frequency) must change which is related to the period by the below equation which will also change,
to find out by how much the period will change we see that from the first equation that if we double the mass making it 2m then the <em>w</em>² will have to decrease by 2 that is it will become <em>w</em>²/2, at the same time keeping r constant since it says that in the question. We now absorb the 2 inside the square and we get,
we can clearly see that the new period has become,
where T is the old period. So the new period is √2 times the old period given by the equation above.
An object with high mass accelerating quickly. Assuming the objects have the same volume, the third choice will be the most dense, and therefore will take a longer time and a stronger opposite force to slow it down to a complete stop due to its high acceleration rate, as well.
Pretty good for a 13 year old, huh? :D
Answer:
0.459 m.
Explanation:
To calculate the height, use 3rd equation of motion as
Here v is the final velocity, u is the initial velocity, g is the acceleration due to gravity and h is the height.
As ball moving up so acceleration due to gravity becomes negative i.e -g and at maximum height v = 0.
Therefore equation becomes,
Given u = 3 m/s and g = 9.8 m/s^2.
Substitute the given values, we get
h = 0.459 m
Thus, the height of hill is 0.459 m.
Answer:
As a result, sound waves travel faster in solids than in liquids, and faster in liquids than in gasses. While the density of a medium also affects the speed of sound, the elastic properties have a greater influence on the wave speed. The density of a medium is the second factor that affects the speed of sound. ( sorry its a bit long :b)
Explanation:
Answer:
spacing is 0.8307 mm
Explanation:
given data
wavelength = 500 nm
interference fringes N = 1.5 mm
wavelength = 640 nm
to find out
spacing between the fringes
solution
we know bright fringe spacing in double slit is express as
w × sinθ = N × wavelength
so angle is
sinθ = N × wavelength / w
and spacing is express as
spacing = d sinθ
and that is = N × (d/w) × wavelength
so
spacing = 1.5 × 360 / 650
so spacing is 0.8307 mm