Pretty simple
The no atmosphere says that theres no air resistance, making the problem 10 times easier.
If the hammer is thrown upwards, it has a positive inital velocity of 14m/s
Now gravity is trying to pull it downwards so the accelerating is -3.5m/s^2 (closest planet I can think off with this acceleration is Mercury, but thats besides the point)
Anyways we can use kinematic equations to solve that
Vf = vi + at
Vf = 14m/s +(-3.5)(8)
Vf = -14 m/s
So after 8 seconds the ball is going downwards at the same height that you threw it.
answer : -14m/s or you can say 14m/s downwards
Displacement is the straight-line distance and direction from start-point to end-point, regardless of the actual path taken.
In this example, that's 10.3 km (rounded) in the direction 14 degrees west of South.
Answer:
The spring constant is ![1.09\times10^{9}\ N/m](https://tex.z-dn.net/?f=1.09%5Ctimes10%5E%7B9%7D%5C%20N%2Fm)
Explanation:
Given that,
length = 500 mm
Diameter = 2 cm
Young's modulus = 17.4 GPa
We need to calculate the young's modulus
Using formula of young's modulus
....(I)
![Y=\dfrac{Fl}{\Delta l A}](https://tex.z-dn.net/?f=Y%3D%5Cdfrac%7BFl%7D%7B%5CDelta%20l%20A%7D)
From hook's law
![F=kx](https://tex.z-dn.net/?f=F%3Dkx)
![k=\dfrac{F}{x}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7BF%7D%7Bx%7D)
....(II)
Put the value of F in equation
![Y=\dfrac{k\times\Delta l\times l}{\Delta l A}](https://tex.z-dn.net/?f=Y%3D%5Cdfrac%7Bk%5Ctimes%5CDelta%20l%5Ctimes%20l%7D%7B%5CDelta%20l%20A%7D)
![Y=\dfrac{kl}{A}](https://tex.z-dn.net/?f=Y%3D%5Cdfrac%7Bkl%7D%7BA%7D)
We need to calculate the spring constant
....(II)
We need to calculate the area of cylinder
Using formula of area of cylinder
![A=2\pi\times r\times l](https://tex.z-dn.net/?f=A%3D2%5Cpi%5Ctimes%20r%5Ctimes%20l)
Put the value into the formula
![A=2\pi\times 1\times10^{-2}\times500\times10^{-3}](https://tex.z-dn.net/?f=A%3D2%5Cpi%5Ctimes%201%5Ctimes10%5E%7B-2%7D%5Ctimes500%5Ctimes10%5E%7B-3%7D)
![A=0.0314\ m^2](https://tex.z-dn.net/?f=A%3D0.0314%5C%20m%5E2)
Put the value of A in (II)
![k=\dfrac{1.74\times10^{10}\times0.0314}{500\times10^{-3}}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B1.74%5Ctimes10%5E%7B10%7D%5Ctimes0.0314%7D%7B500%5Ctimes10%5E%7B-3%7D%7D)
![k=1.09\times10^{9}\ N/m](https://tex.z-dn.net/?f=k%3D1.09%5Ctimes10%5E%7B9%7D%5C%20N%2Fm)
Hence, The spring constant is ![1.09\times10^{9}\ N/m](https://tex.z-dn.net/?f=1.09%5Ctimes10%5E%7B9%7D%5C%20N%2Fm)
Answer:
False, many fossils have bones and fur, etc in them.