Answer:
See description
Explanation:
This is an example where we need Tornicelli's law, which states that the horizontal speed of a fluid that starts falling from an orifice is the same speed that an object acquires from free-falling.
we are given:
![h_{cilinder} = 0.2 [m]\\h = 0.05 [m]\\d=0.15[m]](https://tex.z-dn.net/?f=h_%7Bcilinder%7D%20%3D%200.2%20%5Bm%5D%5C%5Ch%20%3D%200.05%20%5Bm%5D%5C%5Cd%3D0.15%5Bm%5D)
the horizontal velocity of the water at the start is:
![v = \sqrt{2(9.8)(0.05)}=0.989949 [m/s]=1[m/s]](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2%289.8%29%280.05%29%7D%3D0.989949%20%5Bm%2Fs%5D%3D1%5Bm%2Fs%5D)
now we need to find the time for the water drops to fall d:
as the gravity is the only force interacting with the water we have:
replace for y = d
![0.15 = \frac{1}{2} g*t^2=>t=\sqrt{\frac{2*0.15}{9.8}}=0.1749[s]](https://tex.z-dn.net/?f=0.15%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20g%2At%5E2%3D%3Et%3D%5Csqrt%7B%5Cfrac%7B2%2A0.15%7D%7B9.8%7D%7D%3D0.1749%5Bs%5D%20)
now that we have t we notice that there are no horizontal forces interacting with the water, so the horizontal position is given by:
Finally, we replace v and t:
![x(2.45) = 1*0.1749 = 0.1749 [m]=17.49[cm]](https://tex.z-dn.net/?f=x%282.45%29%20%3D%201%2A0.1749%20%3D%200.1749%20%5Bm%5D%3D17.49%5Bcm%5D)
Answer:
The kinetic energy gained by the air molecules is 0.054313 J.
Explanation:
Given that,
Mass of a coffee filter, m = 1.4 g
Height from which it is dropped, h = 4 m
Speed at ground, v = 0.9 m/s
Initially, the coffee filter has potential energy. It is given by :
Finally, it will have kinetic energy. It is given by :
The kinetic energy Kair did the air molecules gain from the falling coffee filter is :
So, the kinetic energy Kair did the air molecules gain from the falling coffee filter is 0.054313
.
Answer:
0.6 m/s
Explanation:
The details of the masses and velocities are;
The mass of the ice skater, m₁ = 80 kg
The mass of the ball, m₂ = 8 kg
The speed with which the skater tosses the ball forward, v₂ = 6 m/s
Therefore;
According to the principle of conservation of linear momentum, we have;
m₁·v₁ = m₂·v₂
Where;
v₁ = The skater's reactive velocity
Therefore, we get;
80 kg × v₁ = 8 kg × 6 m/s
v₁ = 8 kg × 6 m/s/(80 kg) = 0.6 m/s
The skater's reactive velocity, v₁ = 0.6 m/s.
Answer:
An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
Explanation:
When an athlete tries to stop his career, it takes several meters to stop completely, due to the inertia produced.
When trying to push a car, at first it is very difficult, because, due to inertia, the car tends to remain still. But once it is put into motion, the effort is much less to be done, since then inertia causes it to keep moving.
Answer:
6400 W (or) 6.4 KW
Explanation:
Formula we use,
→ P = I²R
Let's solve for the power of device,
→ P = I²R
→ P = (8)² × 100
→ P = 64 × 100
→ [ P = 6400 W ]
Hence, the power is 6400 W.
