<span>The de-acceleration or negative acceleration of stopping is what damages bones. The ground is rigid and therefore the change in momentum when striking the ground will be large. On the trampoline, the elasticity of the material means that the momentum changes more slowly, resulting in smaller accelerations.</span>
Explanation:
The gravitational force equation is the following:
![F_G = G * \frac{m_1 m_2}{r^2} \\](https://tex.z-dn.net/?f=F_G%20%3D%20G%20%2A%20%5Cfrac%7Bm_1%20m_2%7D%7Br%5E2%7D%20%5C%5C)
Where:
G = Gravitational constant = ![6.67408 * 10^{-11} m^3 kg^{-1} s^{-2}](https://tex.z-dn.net/?f=6.67408%20%2A%2010%5E%7B-11%7D%20m%5E3%20kg%5E%7B-1%7D%20s%5E%7B-2%7D)
m1 & m2 = the mass of two related objects
r = distance between the two related objects
The problem gives you everything you need to plug into the formula, except for the gravitational constant. Let me know if you need further clarification.
Answer:
The semi truck travels at an initial speed of 69.545 meters per second downwards.
Explanation:
In this exercise we see a case of an entirely inellastic collision between the semi truck and the car, which can be described by the following equation derived from Principle of Linear Momentum Conservation: (We assume that velocity oriented northwards is positive)
(1)
Where:
,
- Masses of the semi truck and the car, measured in kilograms.
,
- Initial velocities of the semi truck and the car, measured in meters per second.
- Final speed of the system after collision, measured in meters per second.
If we know that
,
,
and
, then the initial velocity of the semi truck is:
![m_{S}\cdot v_{S} = (m_{S}+m_{C})\cdot v -m_{C}\cdot v_{C}](https://tex.z-dn.net/?f=m_%7BS%7D%5Ccdot%20v_%7BS%7D%20%3D%20%28m_%7BS%7D%2Bm_%7BC%7D%29%5Ccdot%20v%20-m_%7BC%7D%5Ccdot%20v_%7BC%7D)
![v_{S} = \frac{(m_{S}+m_{C})\cdot v - m_{C}\cdot v_{C}}{m_{S}}](https://tex.z-dn.net/?f=v_%7BS%7D%20%3D%20%5Cfrac%7B%28m_%7BS%7D%2Bm_%7BC%7D%29%5Ccdot%20v%20-%20m_%7BC%7D%5Ccdot%20v_%7BC%7D%7D%7Bm_%7BS%7D%7D)
![v_{S} = \left(1+\frac{m_{C}}{m_{S}} \right)\cdot v - \frac{m_{C}}{m_{S}} \cdot v_{C}](https://tex.z-dn.net/?f=v_%7BS%7D%20%3D%20%5Cleft%281%2B%5Cfrac%7Bm_%7BC%7D%7D%7Bm_%7BS%7D%7D%20%5Cright%29%5Ccdot%20v%20-%20%5Cfrac%7Bm_%7BC%7D%7D%7Bm_%7BS%7D%7D%20%5Ccdot%20v_%7BC%7D)
![v_{S} = v +\frac{m_{C}}{m_{S}}\cdot (v-v_{C})](https://tex.z-dn.net/?f=v_%7BS%7D%20%3D%20v%20%2B%5Cfrac%7Bm_%7BC%7D%7D%7Bm_%7BS%7D%7D%5Ccdot%20%28v-v_%7BC%7D%29)
![v_{S} = -15\,\frac{m}{s}+\left(\frac{2000\,kg}{2200\,kg} \right) \cdot \left(-15\,\frac{m}{s}-45\,\frac{m}{s} \right)](https://tex.z-dn.net/?f=v_%7BS%7D%20%3D%20-15%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%2B%5Cleft%28%5Cfrac%7B2000%5C%2Ckg%7D%7B2200%5C%2Ckg%7D%20%5Cright%29%20%5Ccdot%20%5Cleft%28-15%5C%2C%5Cfrac%7Bm%7D%7Bs%7D-45%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%20%5Cright%29)
The semi truck travels at an initial speed of 69.545 meters per second downwards.
B- light bends as it passes through an object ( a would be reflect)