The base of table is "1.08856 m" far away from the ball land.
Given:
Distance travelled by ball,
Initial velocity,
Acceleration,
Constant speed,
As we know the formula,
→ ![S = ut+\frac{1}{2}at^2](https://tex.z-dn.net/?f=S%20%3D%20ut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2)
By substituting the values, we get
→ ![1.2=\frac{1}{2}\times 9.8t^2](https://tex.z-dn.net/?f=1.2%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%209.8t%5E2)
→ ![1.2 = 4.9 t^2](https://tex.z-dn.net/?f=1.2%20%3D%204.9%20t%5E2)
→ ![t = \sqrt{\frac{1.2}{4.9} }](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B%5Cfrac%7B1.2%7D%7B4.9%7D%20%7D)
→ ![= 0.4948 \ seconds](https://tex.z-dn.net/?f=%3D%200.4948%20%5C%20seconds)
Let,
- Horizontal distance will be "x".
- Time = t
→ ![x = 2.2\times t](https://tex.z-dn.net/?f=x%20%3D%202.2%5Ctimes%20t)
![= 2.2\times 0.4948](https://tex.z-dn.net/?f=%3D%202.2%5Ctimes%200.4948)
![= 1.08856 \ m](https://tex.z-dn.net/?f=%3D%201.08856%20%5C%20m)
Thus the solution above is right.
Learn more:
brainly.com/question/19170664
Well, in some systems the atoms melt or burn or change state like from liquid to gases when they reach a certain temperature. This could decrease the energy in the system.
Hope I helped
Answer:
14.44 revolutions
Explanation:
unit conversion:
85mile/hour = 85mile/hour * 5280ft/mile * 1/3600hours/second = 448800ft/hour = 124.67 ft/s
1800rev/min = 1800rev/min * 1/60min/seconds = 30 rev/s
The time it takes for the 85mph base ball to travel 60 ft is
t = s/v = 60 / 124.67 = 0.4813 seconds
By that time, the number of revolution it would make is:
r = 30 * 0.4813 = 14.44 revolutions
Answer:
E = 2.6411 J
Explanation:
we know that elastic potential energy could be calculated by:
![E = \frac{1}{2}kx^2](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B1%7D%7B2%7Dkx%5E2)
where k is the constant of the spring and x is the deform of the spring.
Now x can be calculated as:
x = 3.52m-2.54m
x = 0.98 m
Finally, replacing the data, we get:
![E = \frac{1}{2}(5.5 N/m)(0.98m)^2](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B1%7D%7B2%7D%285.5%20N%2Fm%29%280.98m%29%5E2)
E = 2.6411 J