You could get sick by breathing throw your mouth and you have a less chance of getting sick by breathing throw your nose.
Power = Work / time
The work given here is 83J and the time it took to do 83J of work was 3s
So..
Power = 83J / 3s
Power = 27.67 W or 27.7 W
Work formula:
![W = Fd\cos(\theta)](https://tex.z-dn.net/?f=W%20%3D%20Fd%5Ccos%28%5Ctheta%29)
F = 50N, d = 1.0 m
When you lift something straight up, the angle of the force is 90º
cos(90º) is 0, so there's no work done when you lift the microwave off the ground
![W = (50N)(1.0)(0) = 0](https://tex.z-dn.net/?f=W%20%3D%20%2850N%29%281.0%29%280%29%20%3D%200)
F = 50N, d = 1.0 m
When you push the microwave, the angle is 0º and cos(0º) is 1. So there is work done here:
![W = (50 N)(1.0m)(1)](https://tex.z-dn.net/?f=W%20%3D%20%2850%20N%29%281.0m%29%281%29)
![W = 50](https://tex.z-dn.net/?f=W%20%3D%2050)
total work = 50 joules
It holds A. Less water than when it is warmer.
Answer:
(a) v = 5.42m/s
(b) vo = 4.64m/s
(c) a = 2874.28m/s^2
(d) Δy = 5.11*10^-3m
Explanation:
(a) The velocity of the ball before it hits the floor is given by:
(1)
g: gravitational acceleration = 9.8m/s^2
h: height where the ball falls down = 1.50m
![v=\sqrt{2(9.8m/s^2)(1.50m)}=5.42\frac{m}{s}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B2%289.8m%2Fs%5E2%29%281.50m%29%7D%3D5.42%5Cfrac%7Bm%7D%7Bs%7D)
The speed of the ball is 5.42m/s
(b) To calculate the velocity of the ball, after it leaves the floor, you use the information of the maximum height reached by the ball after it leaves the floor.
You use the following formula:
(2)
vo: velocity of the ball where it starts its motion upward
You solve for vo and replace the values of the parameters:
![v_o=\sqrt{2gh_{max}}=\sqrt{2(9.8m/s^2)(1.10m)}=4.64\frac{m}{s}](https://tex.z-dn.net/?f=v_o%3D%5Csqrt%7B2gh_%7Bmax%7D%7D%3D%5Csqrt%7B2%289.8m%2Fs%5E2%29%281.10m%29%7D%3D4.64%5Cfrac%7Bm%7D%7Bs%7D)
The velocity of the ball is 4.64m/s
(c) The acceleration is given by:
![a=\frac{\Delta v}{\Delta t}=\frac{v_o-v}{3.50*10^{-3}s}=\frac{4.64m/s-(-5.42m)/s}{3.50*10^{-3}s}=2874.285\frac{m}{s^2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%5CDelta%20v%7D%7B%5CDelta%20t%7D%3D%5Cfrac%7Bv_o-v%7D%7B3.50%2A10%5E%7B-3%7Ds%7D%3D%5Cfrac%7B4.64m%2Fs-%28-5.42m%29%2Fs%7D%7B3.50%2A10%5E%7B-3%7Ds%7D%3D2874.285%5Cfrac%7Bm%7D%7Bs%5E2%7D)
![a=\frac{\Delta v}{\Delta t}=\frac{v_o-v}{3.50*10^{-3}s}=\frac{4.64m/s-5.42m/s}{3.50*10^{-3}s}=-222.85\frac{m}{s^2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%5CDelta%20v%7D%7B%5CDelta%20t%7D%3D%5Cfrac%7Bv_o-v%7D%7B3.50%2A10%5E%7B-3%7Ds%7D%3D%5Cfrac%7B4.64m%2Fs-5.42m%2Fs%7D%7B3.50%2A10%5E%7B-3%7Ds%7D%3D-222.85%5Cfrac%7Bm%7D%7Bs%5E2%7D)
The acceleration of the ball is 2874.28/s^2
(d) The compression of the ball is:
![\Deta y=\frac{v^2}{2(a)}=\frac{(5.42m/s)^2}{2(2874.28m/s^2)}=5.11*10^{-3}m](https://tex.z-dn.net/?f=%5CDeta%20y%3D%5Cfrac%7Bv%5E2%7D%7B2%28a%29%7D%3D%5Cfrac%7B%285.42m%2Fs%29%5E2%7D%7B2%282874.28m%2Fs%5E2%29%7D%3D5.11%2A10%5E%7B-3%7Dm)
THe compression of the ball when it strikes the floor is 5.11*10^-3m