Answer:
gravity because its gravity and you fall and die
Answer:
3.76 m/s
Explanation:
Instantaneous velocity: This can be defined as the velocity of an object in a non uniform motion. The S.I unit is m/s.
v' = dx(t)/dt..................... Equation 1
Where v' = instantaneous velocity, x = distance, t = time.
Given the expression,
x(t) = 28.0 m + (12.4 m/s)t - (0.0450 m/s³)t³
x(t) = 28 + 12.4t - 0.0450t³
Differentiating x(t) with respect to t.
dx(t)/dt = 12.4 - 0.135t²
dx(t)/dt = 12.4 - 0.135t²
When t = 8.00 s.
dx(t)/dt = 12.4 - 0.135(8)²
dx(t)/dt = 12.4 - 8.64
dx(t)/dt = 3.76 m/s.
Therefore,
v' = 3.76 m/s.
Hence, the instantaneous velocity = 3.76 m/s
Answer:
The velocity of the cart at the bottom of the ramp is 1.81m/s, and the acceleration would be 3.30m/s^2.
Explanation:
Assuming the initial velocity to be zero, we can obtain the velocity at the bottom of the ramp using the kinematics equations:
![v=v_0+at\\\\v^2=v_0^2+2ad](https://tex.z-dn.net/?f=v%3Dv_0%2Bat%5C%5C%5C%5Cv%5E2%3Dv_0%5E2%2B2ad)
Dividing the second equation by the first one, we obtain:
![v=\frac{v_0^2+2ad}{v_0+at}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bv_0%5E2%2B2ad%7D%7Bv_0%2Bat%7D)
And, since
, then:
![v=\frac{2ad}{at}\\\\v=\frac{2d}{t}\\\\v=\frac{2(0.50m)}{0.55s}\\\\v=1.81m/s](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2ad%7D%7Bat%7D%5C%5C%5C%5Cv%3D%5Cfrac%7B2d%7D%7Bt%7D%5C%5C%5C%5Cv%3D%5Cfrac%7B2%280.50m%29%7D%7B0.55s%7D%5C%5C%5C%5Cv%3D1.81m%2Fs)
It means that the velocity at the bottom of the ramp is 1.81m/s.
We could use this data, plus any of the two initial equations, to determine the acceleration:
![v=v_0+at\\\\\implies a=\frac{v}{t}\\\\a=\frac{1.81m/s}{0.55s}\\\\a=3.30m/s^2](https://tex.z-dn.net/?f=v%3Dv_0%2Bat%5C%5C%5C%5C%5Cimplies%20a%3D%5Cfrac%7Bv%7D%7Bt%7D%5C%5C%5C%5Ca%3D%5Cfrac%7B1.81m%2Fs%7D%7B0.55s%7D%5C%5C%5C%5Ca%3D3.30m%2Fs%5E2)
So the acceleration is 3.30m/s^2.
Cheese is made of casein protein, which is originally made from milk and is high in protein. The texture of the cheese is determined by the quality of the milk, so cow's milk cheese differs from goat's milk cheese.
<h3>What is a dairy product?</h3>
Diary products are made from milk, such as cheese, curd, yogurt, etc., but all of them have different nutrients. The quality of these dairy products depend upon the quality of the milk, as some milking animals have a higher concentration of fats in their milk than other animals. These dairy products are used in different industrial sectors, such as for making ice cream, chocolate, and different food products.
Hence, cheese is made up of casein proteins that are present in the milk.
Learn more about the diary products here.
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Work = force x distance
F= 2.5
D= 3
Work = 2.5 x 3 =7.5
Work = 7.5 J
J=Jules (Jules is the unit uses to calculate work)