B.Direction
C.Speed
D.Velocity
Answer : v = 69 m/s.
Explanation :
It is given that,
The momentum of a bald eagle in flight,
Mass of the eagle, m = 5 kg
We know that the momentum of any object is defined as the product of mass and the velocity with which it is moving.
The velocity of the eagle is 69 m/s.
Hence, this is the required solution.
Part A: The enmeshed cars were moving at a velocity of approximately 8.66 m/s just after the collision.
Part B: Car A was traveling at a velocity of approximately 8.55 m/s just before the collision.
To find the speed of car A just before the collision in Part B, you can use the principle of conservation of momentum.
The total momentum of the system before the collision should equal the total momentum after the collision. You already know the total momentum after the collision from Part A, and now you want to find the velocity of car A just before the collision.
Let's denote:
- v_A as the initial velocity of car A before the collision.
- v_B as the initial velocity of car B before the collision.
In Part A, you found that the enmeshed cars were moving at a velocity of 8.66 m/s at an angle of 60 degrees south of east. You can split this velocity into its eastward and southward components. The eastward component of this velocity is:
v_east = 8.66 m/s * cos(60 degrees)
Now, you can use the conservation of momentum to set up an equation:
Total initial momentum = Total final momentum
(mass_A * v_A) + (mass_B * v_B) = (mass_A + mass_B) * 8.66 m/s (the final velocity you found in Part A)
Plug in the known values:
(1900 kg * v_A) + (1500 kg * v_B) = (1900 kg + 1500 kg) * 8.66 m/s
Now, you can solve for v_A:
(1900 kg * v_A) + (1500 kg * v_B) = 3400 kg * 8.66 m/s
1900 kg * v_A = 3400 kg * 8.66 m/s - 1500 kg * v_B
v_A = (3400 kg * 8.66 m/s - 1500 kg * v_B) / 1900 kg
Now, plug in the values from Part A to find v_A:
v_A = (3400 kg * 8.66 m/s - 1500 kg * 8.66 m/s) / 1900 kg
v_A = (29244 kg*m/s - 12990 kg*m/s) / 1900 kg
v_A = 16254 kg*m/s / 1900 kg
v_A ≈ 8.55 m/s
So, car A was going at approximately 8.55 m/s just before the collision in Part B.
Learn more about velocity at:
#SPJ3