Answer:
1.327363 m/s
0.00090243 m
Explanation:
u = Initial velocity
v = Final velocity
m = Mass of flea
Energy
![E=\frac{1}{2}m(v^2-u^2)\\\Rightarrow 3.7\times 10^{-4}=2.1\times 10^{-4}(v^2-0)\\\Rightarrow v=\sqrt{\frac{3.7\times 10^{-4}}{2.1\times 10^{-4}}}\\\Rightarrow v=1.32736\ m/s](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B2%7Dm%28v%5E2-u%5E2%29%5C%5C%5CRightarrow%203.7%5Ctimes%2010%5E%7B-4%7D%3D2.1%5Ctimes%2010%5E%7B-4%7D%28v%5E2-0%29%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B%5Cfrac%7B3.7%5Ctimes%2010%5E%7B-4%7D%7D%7B2.1%5Ctimes%2010%5E%7B-4%7D%7D%7D%5C%5C%5CRightarrow%20v%3D1.32736%5C%20m%2Fs)
The velocity of the flea when leaving the ground is 1.327363 m/s
![W=F\times s\\\Rightarrow s=\frac{W}{F}\\\Rightarrow s=\frac{3.7\times 10^{-4}}{0.41}\\\Rightarrow s=0.00090243\ m](https://tex.z-dn.net/?f=W%3DF%5Ctimes%20s%5C%5C%5CRightarrow%20s%3D%5Cfrac%7BW%7D%7BF%7D%5C%5C%5CRightarrow%20s%3D%5Cfrac%7B3.7%5Ctimes%2010%5E%7B-4%7D%7D%7B0.41%7D%5C%5C%5CRightarrow%20s%3D0.00090243%5C%20m)
The flea will travel 0.00090243 m upward
Answer:
They are all types of motion energy.
Answer:Rearrange the equation F = ma to solve for acceleration.
You can change this formula around to solve for acceleration by dividing both sides by the mass, so: a = F/m. To find the acceleration, simply divide the force by the mass of the object being accelerated.
Explanation:
.6(9.81)(3)
=17.65
18 J
2 significant figures
The ball's velocity
at time
is
![v=v_0-gt](https://tex.z-dn.net/?f=v%3Dv_0-gt)
where
is the acceleration due to gravity. So after 1.5 seconds, the ball's velocity is
![v=64.2\,\dfrac{\mathrm m}{\mathrm s}-\left(9.81\,\dfrac{\mathrm m}{\mathrm s^2}\right)(1.5\,\mathrm s)](https://tex.z-dn.net/?f=v%3D64.2%5C%2C%5Cdfrac%7B%5Cmathrm%20m%7D%7B%5Cmathrm%20s%7D-%5Cleft%289.81%5C%2C%5Cdfrac%7B%5Cmathrm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29%281.5%5C%2C%5Cmathrm%20s%29)
![\implies v=49.5\,\dfrac{\mathrm m}{\mathrm s}](https://tex.z-dn.net/?f=%5Cimplies%20v%3D49.5%5C%2C%5Cdfrac%7B%5Cmathrm%20m%7D%7B%5Cmathrm%20s%7D)
so the ball's speed after 1.5 seconds is also 49.5 m/s.