Answer:
<em>Second option</em>
Explanation:
<u>Linear Momentum</u>
The linear momentum of an object of mass m and speed v is
P=mv
If two or more objects are interacting in the same axis, the total momentum is
Where the speeds must be signed according to a fixed reference
The images show a cart of mass 2m moves to the left with speed v since our reference is positive to the right
The second cart of mass m goes to the right at a speed v
The total momentum before the impact is
The total momentum after the collision is negative, both carts will join and go to the left side
The first option shows both carts with the same momentum before the collision and therefore, zero momentum after. It's not correct as we have already proven
The third option shows the 2m cart has a positive greater momentum than the other one. We have proven the 2m car has negative momentum. This option is not correct either
The fourth option shows the two carts keep separated after the collision, which contradicts the condition of the question regarding "they hook together".
The second option is the correct one because the mass 
has a negative momentum and then the sum of both masses keeps being negative
Answer:
6.8 s
Explanation:
Let's say the west end of the field is position 0 m and the east end of the field is position 250 m.
The position of kitten A is:
x = 0 + 25 t
And the position of kitten B is:
x = 250 - 12 t
The kittens collide when they have the same position:
25 t = 250 - 12 t
37 t = 250
t ≈ 6.8 s
Answer:
Y, X, Z, W
Explanation:
Jerome must put the given models in the order Y, X, Z, W to display the development of atom from the earliest to the most recent one. 'Y' represents 'Thomson's plum pudding model' came in 1904 which was followed by the 'Rutherford's nuclear atomic model' of 1911 as represented by X. This was succeeded by the 'Bohr's electrostatic model' in 1913(as shown in model Z) and lastly, the model W which exemplifies the 'Quantum Mechanical Model' by Edwin Schordinger in 1926. Thus, the correct order is <u>Y, X, Z, W</u>.
Answer:
Explanation:
Force of gravity = GMm/r^2 = ma
a being the acceleration due to gravity at some distance r from the center of the Earth. I'll use 6400 km for the radius of the Earth so r = 6734 km or 6734000 meters
a = GM/r^2
plugging in G = 6.67 x 10^-11
M is the mass of the Earth = 6 x 10^24
and r is from above
a = 8.825 m/s^2 = 0.9g
so 90% the acceleration of gravity on the surface.
Answer:
6.20×10⁴ V/m
Explanation:
The magnitude of electric field is:
E = √(Eₓ² + Eᵧ²)
where Eₓ = ∂φ/∂x and Eᵧ = ∂φ/∂y.
φ = 1.11 (x² + y²)^-½ − 429x
Eₓ = -0.555 (x² + y²)^-(³/₂) (2x) − 429
Eᵧ = -0.555 (x² + y²)^-(³/₂) (2y)
Evaluating at (0.003, 0.003):
Eₓ = -44034 V/m
Eᵧ = -43605 V/m
The magnitude is:
E = 61971 V/m
Rounded to three significant figures, the strength of the electric field is 6.20×10⁴ V/m.
