Answer:
25.71486 seconds
Explanation:
t = Time taken
u = Initial velocity = 60 mph
v = Final velocity = 80 mph
s = Displacement = 0.5 mile
a = Acceleration
Converting to m/s
![60\times \dfrac{1609.34}{3600}=26.8223\ m/s](https://tex.z-dn.net/?f=60%5Ctimes%20%5Cdfrac%7B1609.34%7D%7B3600%7D%3D26.8223%5C%20m%2Fs)
![80\times \dfrac{1609.34}{3600}=35.7631\ m/s](https://tex.z-dn.net/?f=80%5Ctimes%20%5Cdfrac%7B1609.34%7D%7B3600%7D%3D35.7631%5C%20m%2Fs)
From equation of motion
![v^2-u^2=2as\\\Rightarrow a=\dfrac{v^2-u^2}{2s}\\\Rightarrow a=\dfrac{35.7631^2-26.8223^2}{2\times \dfrac{1609.34}{2}}\\\Rightarrow a=0.34769\ m/s^2](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as%5C%5C%5CRightarrow%20a%3D%5Cdfrac%7Bv%5E2-u%5E2%7D%7B2s%7D%5C%5C%5CRightarrow%20a%3D%5Cdfrac%7B35.7631%5E2-26.8223%5E2%7D%7B2%5Ctimes%20%5Cdfrac%7B1609.34%7D%7B2%7D%7D%5C%5C%5CRightarrow%20a%3D0.34769%5C%20m%2Fs%5E2)
![v=u+at\\\Rightarrow t=\dfrac{v-u}{a}\\\Rightarrow t=\dfrac{35.7631-26.8223}{0.34769}\\\Rightarrow t=25.71486\ s](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7Bv-u%7D%7Ba%7D%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7B35.7631-26.8223%7D%7B0.34769%7D%5C%5C%5CRightarrow%20t%3D25.71486%5C%20s)
Time taken is 25.71486 seconds
(BELOW YOU CAN FIND ATTACHED THE IMAGE OF THE SITUATION)
Answer:
![d=\frac{2g(m1-m2)}{k}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B2g%28m1-m2%29%7D%7Bk%7D%20)
Explanation:
For this we're going to use conservation of mechanical energy because there are nor dissipative forces as friction. So, the change on mechanical energy (E) should be zero, that means:
(1)
With
the initial kinetic energy,
the initial potential energy,
the final kinetic energy and
the final potential energy. Note that initialy the masses are at rest so
, when they are released the block 2 moves downward because m2>m1 and finally when the mass 2 reaches its maximum displacement the blocks will be instantly at rest so
. So, equation (1) becomes:
(2)
At initial moment all the potential energy is gravitational because the spring is not stretched so
and at final moment we have potential gravitational energy and potential elastic energy so
, using this on (2)
(3)
Additional if we define the cero of potential gravitational energy as sketched on the figure below (See image attached),
and we have by (3) :
(4)
Now when the block 1 moves a distance d upward the block 2 moves downward a distance d too (to maintain a constant length of the rope) and the spring stretches a distance d, so (4) is:
![0=-m1gd+m2gd+\frac{kd^{2}}{2}](https://tex.z-dn.net/?f=0%3D-m1gd%2Bm2gd%2B%5Cfrac%7Bkd%5E%7B2%7D%7D%7B2%7D%20)
dividing both sides by d
![0=-m1g+m2g+\frac{kd}{2}](https://tex.z-dn.net/?f=0%3D-m1g%2Bm2g%2B%5Cfrac%7Bkd%7D%7B2%7D)
![g(m1-m2)= \frac{kd}{2}](https://tex.z-dn.net/?f=g%28m1-m2%29%3D%20%5Cfrac%7Bkd%7D%7B2%7D)
, with k the constant of the spring and g the gravitational acceleration.
Answer:
Use the principle of momentum
Initial momentum = final momentum
Momentum formula = Mass * Velocity
Explanation:
C liquid at room temperature
The object's velocity is decreasing.
Explanation:
From graph is the attached image, we can clearly point that the velocity of this motion is decreasing with time.
Velocity is a vector quantity.
- The y-axis represent displacement.
- The x-axis depicts time
- Using the graph, we know that the slope of the line on the graph gives us the velocity as it denotes the change of displacement with time.
- When we find the slope, it will give us a negative value which shows that the body is slowing down and not increasing speed.
learn more:
Velocity brainly.com/question/4460262
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