A small smooth object slides from rest down a smooth inclined plane inclined at 30degrees horizontal.What is the acceleration do
1 answer:
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Answer:
24.348mm
Explanation:
NB: I'll be attaching pictures so as to depict missing mathematical expressions or special characters which are not easily found on keyboards
K = d / €^n
Note : d represents the greek alphabet epsilion.
K = 345 / 0.02⁰.²² = 816mPa
The true strain based upon the stress of 414mPa =
€= (€/k)^1/n = (414/816)¹/⁰.²² = 0.04576
However the true relationship between true strain and length is given by
€ = ln(Li/Lo)
Making Li the subject of formula by rearranging,
Li = Lo.e^€
Li = 520e⁰.⁰⁴⁵⁷⁶
Li = 544.348mm
The amount of elongation can be calculated from
Change in L = Li - Lo = 544.348 - 520 change in L = 24.348mm.
<u>Answer:</u>
Velocity of rock after 2 seconds = 6.56 m/s
<u>Explanation:</u>
We have equation of motion , , s is the displacement, u is the initial velocity, a is the acceleration and t is the time.
Here height of rock in meters, h =
Comparing both the equations
We will get initial velocity = 14 m/s(already given) and
So, Acceleration, a = -3.72
Now we have equation of motion, v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken.
When time is 2 seconds we need to find final velocity.
v = 14 - 3.72 * 2 = 6.56 m/s.
So, Velocity of rock after 2 seconds = 6.56 m/s
Answer:
D) The objects velocity is zero when its acceleration is a maximum
Explanation:
In a simple harmonic motion, the total energy is constant (if we neglect air resistance and friction), and it is equal to the sum of the elastic potential energy U and the kinetic energy K:
(1)
where
m is the mass
v is the velocity
k is the spring constant
x is the displacement
As a consequence, since E must remain constant, when K increases U decreases, and vice-versa.
Also, in a simple harmonic motion the acceleration of the system is proportional to the negative of the displacement:
(2)
So, combining (1) with (2), we have the following situations:
- When the displacement is zero (x=0), the acceleration is also zero (a=0), and so the velocity is maximum, because the kinetic energy is maximum
- When the displacement is maximum (x=max), the acceleration is also maximum, while the velocity is zero because the kinetic energy is zero
So, the correct statement is
D) The objects velocity is zero when its acceleration is a maximum
Answer:
20 cm
Explanation:
We can solve the problem by using the magnification equation:
where
is the size of the image
is the height of the real object (the man)
is the distance of the image from the lens
is the distance of the object (the man) from the lens
Solving the formula for , we find
And the negative sign means the image is inverted.