Answer:
the acceleration during the collision is: - 5
Explanation:
Using the formula:
![a=\frac{\Delta\,v}{\Delta\,t}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%5CDelta%5C%2Cv%7D%7B%5CDelta%5C%2Ct%7D)
we get:
![a=\frac{-0.4-0.6}{0.2} \,\frac{m}{s^2} =\frac{-1}{0.2} \,\frac{m}{s^2} =-5\,\,\frac{m}{s^2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B-0.4-0.6%7D%7B0.2%7D%20%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D%20%3D%5Cfrac%7B-1%7D%7B0.2%7D%20%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D%20%3D-5%5C%2C%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D)
Answer:
A. Thickness and temperature
Explanation:
Answer:
The smallest distance the student that the student could be possibly be from the starting point is 6.5 meters.
Explanation:
For 2 quantities A and B represented as
and ![B\pm \Delta B](https://tex.z-dn.net/?f=B%5Cpm%20%5CDelta%20B)
The sum is represented as
For the the values given to us the sum is calculated as
![Sum=(2.9+3.9)\pm (0.1+0.2)](https://tex.z-dn.net/?f=Sum%3D%282.9%2B3.9%29%5Cpm%20%280.1%2B0.2%29)
Now the since the uncertainity inthe sum is ![\pm 0.3](https://tex.z-dn.net/?f=%5Cpm%200.3)
The closest possible distance at which the student can be is obtained by taking the negative sign in the uncertainity
Thus closest distance equals
meters
Answer:
The acceleration of the ball as it rises to the top of its arc equals 9.807 meters per square second.
Explanation:
Let suppose that maximum height of the arc is so small in comparison with the radius of the Earth.
Since the ball is launched upwards, then the ball experiments a free-fall motion, that is, an uniform accelerated motion in which the element is accelerated by gravity. Then, the acceleration experimented by the motion remains constant at every instant and position.
Besides, the gravitational acceleration in the Earth and, in consequence, the acceleration of the ball as it rises to the top of its arc equals 9.807 meters per square second.
Answer:
Her speed at the bottom of the slope is 25.665 m/s
Explanation:
Here we have
Initial velocity, v₁= 15 m/s
Final velocity = v₂
The energy balance present in the system can be represented as
![\frac{1}{2}mv_2^2 -\frac{1}{2}mv_1^2 - mgh = W](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dmv_2%5E2%20-%5Cfrac%7B1%7D%7B2%7Dmv_1%5E2%20-%20mgh%20%3D%20W)
Where:
m = Mass of the cyclist = 70 kg
W = work done by the drag force = ![-F_Dd](https://tex.z-dn.net/?f=-F_Dd)
Where:
d = Distance traveled = 450 m
Therefore,
and
![v_2^2 =\frac{ \frac{1}{2}mv_1^2 + mgh -F_Dd}{ \frac{1}{2}m} = v_1^2 + 2gh -\frac{ 2F_Dd}{ m} = 15^2 + 2\times 9.8\times 30 - \frac{2\times 12\times 450}{70}](https://tex.z-dn.net/?f=v_2%5E2%20%3D%5Cfrac%7B%20%5Cfrac%7B1%7D%7B2%7Dmv_1%5E2%20%2B%20mgh%20%20-F_Dd%7D%7B%20%5Cfrac%7B1%7D%7B2%7Dm%7D%20%20%3D%20v_1%5E2%20%2B%202gh%20-%5Cfrac%7B%20%20%202F_Dd%7D%7B%20m%7D%20%3D%2015%5E2%20%2B%202%5Ctimes%209.8%5Ctimes%2030%20-%20%5Cfrac%7B2%5Ctimes%2012%5Ctimes%20450%7D%7B70%7D)
= 658.714 m²/s²
v₂ = 25.665 m/s
Her speed at the bottom of the slope = 25.665 m/s.