First we will find the speed of the ball just before it will hit the floor
so in order to find the speed of the cart we will first use energy conservation
![KE_i + PE_i = KE_f + PE_f](https://tex.z-dn.net/?f=KE_i%20%2B%20PE_i%20%3D%20KE_f%20%2B%20PE_f)
![\frac{1}{2}mv_i^2 + mgh = \frac{1}{2}mv_f^2 + 0](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dmv_i%5E2%20%2B%20mgh%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmv_f%5E2%20%2B%200)
![\frac{1}{2}(1.25)(52)^2 + 1.25(9.8)(225) = \frac{1}{2}(1.25)v_f^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%281.25%29%2852%29%5E2%20%2B%201.25%289.8%29%28225%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281.25%29v_f%5E2)
So by solving above equation we will have
![v_f = 84.3 m/s](https://tex.z-dn.net/?f=v_f%20%3D%2084.3%20m%2Fs)
now in order to find the momentum we can use
![P = mv](https://tex.z-dn.net/?f=P%20%3D%20mv)
![P = 1.25 \times 84.3](https://tex.z-dn.net/?f=P%20%3D%201.25%20%5Ctimes%2084.3)
![P = 105.4 kg m/s](https://tex.z-dn.net/?f=P%20%3D%20105.4%20kg%20m%2Fs)
Answer:
A and c, hope i helped xx
Explanation:
Answer:
Explanation:
Equivalent resistance is 1 / ((1/1) + (1/2) + (1/2) + (1/3)) = 3/7 Ω
I = V/R = 4(7/3) = 28/3 = 9.3 A
Metals are good conductors because the molecules that are inside the metal are tightly packed together. This is why the heat moves through the metal quickly.
Answer:
18 L
Explanation:
Use ideal gas law:
PV = nRT
Find initial number of moles, but first convert to units that match the gas constant units.
(200,000 Pa) (0.025 m³) = n (8.314 Pa m³ / mol / K) (25 + 273.15 K)
n = 2.017 mol
At the new pressure and temperature:
(250,000 Pa) V = (2.017 mol) (8.314 Pa m³ / mol / K) (0 + 273.15 K)
V = 0.018 m³
V = 18 L