Answer:
4.6834625323 m/s
0 m/s
Explanation:
s = Displacement
t = Time
Velocity is given by
![v=\dfrac{s}{t}\\\Rightarrow v=\dfrac{5220000}{12.9\times 24\times 60\times 60}\\\Rightarrow v=4.6834625323\ m/s](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7Bs%7D%7Bt%7D%5C%5C%5CRightarrow%20v%3D%5Cdfrac%7B5220000%7D%7B12.9%5Ctimes%2024%5Ctimes%2060%5Ctimes%2060%7D%5C%5C%5CRightarrow%20v%3D4.6834625323%5C%20m%2Fs)
The bird's average velocity for the return flight is 4.6834625323 m/s
In the whole episode the bird went 5220 km away from its nest and came back. This means the displacement is zero.
Hence, the average velocity for the whole episode is 0 m/s
The mass of a planet determines the acceleration due to gravity on it. This is according to Newton's Law of Gravitation, which basically states that the more mass a body has, the greater the force of attraction it exerts on other bodies with mass near it.
The gravitational force is:
F = GMm/r², where G is a constant, r is the distance between large mass M and small mass m.
Considering the fact that acceleration is force per unit mass, if we divide gravitational force by the small mass (to get force per unit mass), we see the dependence mathematically:
a = GM/r²
Answer:
6.57 m/s
Explanation:
First use Hook's Law to determine the F the compressed spring acts on the mass. Hook's Law F=kx; F=force, k=stiffnes of spring (or spring constant), x=displacement
F=kx; F=180(.3) = 54 N
Next from Newton's second law find the acceleration of the mass.
Newton's .2nd law F=ma; a=F/m ; a=54/.75 = 72m/s²
Now use the kinematic equation for velocity (or speed)
v₂²= v₀² + 2a(x₂-x₀); v₂=final velocity; v₀=initial velocity; a=acceleration; x₂=final displacement; x₀=initial displacment.
v₀=0, since the mass is at rest before we release it
a=72 m/s² (from above)
x₀=0 as the start position already compressed
x₂=0.3m (this puts the spring back to it's natural length)
v₂²= 0 + 2(72)(0.3) = 43.2 m²/s²
v₂=
= 6.57 m/s
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