0.8611 g/cm ^2
Density = mass/ volume
Answer:
A board is hung from two springs, as shown in the figure above, with the board in equilibrium. Each spring has a spring constant of 10,000 N/m. How far will each spring stretch when a person of mass 50 kg sits on the board and the board again comes to equilibrium?
Explanation:
A board is hung from two springs, as shown in the figure above, with the board in equilibrium. Each spring has a spring constant of 10,000 N/m. How far will each spring stretch when a person of mass 50 kg sits on the board and the board again comes to equilibrium?
Answer: ![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
The linear momentum
is given by the following equation:
(1)
Where
is the mass and
the velocity.
On the other hand, the kinetic energy
is given by:
(2)
Which is the same as:
![K=\frac{1}{2}m.v^{2}](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B1%7D%7B2%7Dm.v%5E%7B2%7D)
Now, if we double the kinetic energy, equation (2) changes to:
(3)
So, if we want to obtain the kinetic energy as shown in (3), the only option that works is increasing momentum by a factor of
or
:
Applying this in (2):
![K=\frac{(\sqrt{2}p)^{2}}{2m}](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B%28%5Csqrt%7B2%7Dp%29%5E%7B2%7D%7D%7B2m%7D)
![K=\frac{(2p)^{2}}{2m}](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B%282p%29%5E%7B2%7D%7D%7B2m%7D)
>>>As we can see, this equation is the same as equation (3)
Therefore, the correct answer is B
Answer:
as its mass and velocity will less so its momentum will be less than that of baseball