The speed of sound depends on the medium in which it is transported.
Sound travels fastest through solids, slower through liquids and slowest through gases.
So it will travel slowest through water at 55 degrees
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Answer:
Momentum P is 840000kgm/s or 8.4 × 10^6
Explanation:
Data :
Mass = 21000 kg
Velocity = 400 m/s
So momentum is given as
P = mv
P = 21000×400
P = 8400000 kgm/s
P = 8.4 × 10^6
Explanation:
Given that,
Initial speed of the sports car, u = 80 km/h = 22.22 m/s
Final speed of the runner, v = 0
Distance covered by the sports car, d = 80 km = 80000 m
Let a is the acceleration of the sports car. It can be calculated using third equation of motion as :
![v^2-u^2=2ad](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2ad)
![a=\dfrac{v^2-u^2}{2d}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bv%5E2-u%5E2%7D%7B2d%7D)
![a=\dfrac{0-(22.22)^2}{2\times 80000}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B0-%2822.22%29%5E2%7D%7B2%5Ctimes%2080000%7D)
![a=-0.00308\ m/s^2](https://tex.z-dn.net/?f=a%3D-0.00308%5C%20m%2Fs%5E2)
Value of g, ![g=9.8\ m/s^2](https://tex.z-dn.net/?f=g%3D9.8%5C%20m%2Fs%5E2)
![a=\dfrac{-0.00308}{9.8}\ m/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B-0.00308%7D%7B9.8%7D%5C%20m%2Fs%5E2)
![a=(-0.000314)\ g\ m/s^2](https://tex.z-dn.net/?f=a%3D%28-0.000314%29%5C%20g%5C%20m%2Fs%5E2)
Hence, this is required solution.
Incomplete question as the mass of baseball is missing.I have assume 0.2kg mass of baseball.So complete question is:
A baseball has mass 0.2 kg.If the velocity of a pitched ball has a magnitude of 44.5 m/sm/s and the batted ball's velocity is 55.5 m/sm/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat.
Answer:
ΔP=20 kg.m/s
Explanation:
Given data
Mass m=0.2 kg
Initial speed Vi=-44.5m/s
Final speed Vf=55.5 m/s
Required
Change in momentum ΔP
Solution
First we take the batted balls velocity as the final velocity and its direction is the positive direction and we take the pitched balls velocity as the initial velocity and so its direction will be negative direction.So we have:
![v_{i}=-44.5m/s\\v_{f}=55.5m/s](https://tex.z-dn.net/?f=v_%7Bi%7D%3D-44.5m%2Fs%5C%5Cv_%7Bf%7D%3D55.5m%2Fs)
Now we need to find the initial momentum
So
![P_{1}=m*v_{i}](https://tex.z-dn.net/?f=P_%7B1%7D%3Dm%2Av_%7Bi%7D)
Substitute the given values
![P_{1}=(0.2kg)(-44.5m/s)\\P_{1}=-8.9kg.m/s](https://tex.z-dn.net/?f=P_%7B1%7D%3D%280.2kg%29%28-44.5m%2Fs%29%5C%5CP_%7B1%7D%3D-8.9kg.m%2Fs)
Now for final momentum
![P_{2}=mv_{f}\\P_{2}=(0.2kg)(55.5m/s)\\P_{2}=11.1kg.m/s](https://tex.z-dn.net/?f=P_%7B2%7D%3Dmv_%7Bf%7D%5C%5CP_%7B2%7D%3D%280.2kg%29%2855.5m%2Fs%29%5C%5CP_%7B2%7D%3D11.1kg.m%2Fs)
So the change in momentum is given as:
ΔP=P₂-P₁
![=[(11.1kg.m/s)-(-8.9kg.m/s)]\\=20kg.m/s](https://tex.z-dn.net/?f=%3D%5B%2811.1kg.m%2Fs%29-%28-8.9kg.m%2Fs%29%5D%5C%5C%3D20kg.m%2Fs)
ΔP=20 kg.m/s