Answer:
The bird's average velocity is 4.00 m/s.
Explanation:
Given that,
Distance = 5190 km
Time
We need to calculate the bird's average velocity for the return flight
Using formula of average velocity

Where, d = position
t = total time
Put the value into the formula


Negative sign shows the bird is traveling in negative x -axis.
Hence, The bird's average velocity is 4.00 m/s.
First we assume there is no fiction, this is just a basic assumption of all physics problems. We also assume the rope is massless and does not change length since this problem is significantly more complicated if the rope has a mass or can change length.
For part (a) it asks about a system in equilibrium so we see that m1 is hanging vertically and if the system is in equilibrium then all the forces are constant. So I m1 is 7.0 kg then the force of gravity is
Fg = (7.0 kg) (10 N/kg) = 70 N
Since the forces are balanced there must be 70 N pulling it up. All that force is done by the other mass and transfered through the massless rope.
In this case the force of gravity on m2 is 336.681N (see the attached picture for explanation).
So if the force on m2 is about 337 N then it's mass is
m = (337 N) / (10 N/kg) = 33.7 kg
For part (b) it asks about a system where there are unbalanced forces. If m2 slides down with any acceleration and the rope cannot change length then m1 must be accelerating at the same rate. So if m1 accelerates at .4 m/s^2 then the force is
F = Fg + Fm2
F = 70 N + (7.0 kg) (.4m/s^2) = 70 N + 2.8 N = 72.8 N
So now the process for finding the mass of the other block is the same except instead of using 70 in the equation you use 72.8 N. So the new force is 350.149. So the mass must be equal to
m = (350) / (10 N/kg) = 35 kg
When your hand hits the table the table will vibrate and your hand will be numb for two to three seconds
Answer:
Vf= 7.29 m/s
Explanation:
Two force act on the object:
1) Gravity
2) Air resistance
Upward motion:
Initial velocity = Vi= 10 m/s
Final velocity = Vf= 0 m/s
Gravity acting downward = g = -9.8 m/s²
Air resistance acting downward = a₁ = - 3 m/s²
Net acceleration = a = -(g + a₁ ) = - ( 9.8 + 3 ) = - 12.8 m/s²
( Acceleration is consider negative if it is in opposite direction of velocity )
Now
2as = Vf² - Vi²
⇒ 2 * (-12.8) *s = 0 - 10²
⇒-25.6 *s = -100
⇒ s = 100/ 25.6
⇒ s = 3.9 m
Downward motion:
Vi= 0 m/s
s = 3.9 m
Gravity acting downward = g = 9.8 m/s²
Air resistance acting upward = a₁ = - 3 m/s²
Net acceleration = a = g - a₁ = 9.8 - 3 = 6.8 m/s²
Now
2as = Vf² - Vi²
⇒ 2 * 6.8 * 3.9 = Vf² - 0
⇒ Vf² = 53. 125
⇒ Vf= 7.29 m/s