Answer:
pf = 198.8 kg*m/s
θ = 46.8º N of E.
Explanation:
- Since total momentum is conserved, and momentum is a vector, the components of the momentum along two axes perpendicular each other must be conserved too.
- If we call the positive x- axis to the W-E direction, and the positive y-axis to the S-N direction, we can write the following equation for the initial momentum along the x-axis:
- We can do exactly the same for the initial momentum along the y-axis:
- The final momentum along the x-axis, since the collision is inelastic and both objects stick together after the collision, can be written as follows:
- We can repeat the process for the y-axis, as follows:
- Since (1) is equal to (3), replacing for the givens, and since p₀Bₓ = 0, we can solve for vfₓ as follows:
- In the same way, we can find the component of the final momentum along the y-axis, as follows:
- With the values of vfx and vfy, we can find the magnitude of the final speed of the two-object system, applying the Pythagorean Theorem, as follows:
- The magnitude of the final total momentum is just the product of the combined mass of both objects times the magnitude of the final speed:
- Finally, the angle that the final momentum vector makes with the positive x-axis, is the same that the final velocity vector makes with it.
- We can find this angle applying the definition of tangent of an angle, as follows:
⇒ θ = tg⁻¹ (1.06) = 46.8º N of E
Answer:
Explanation:
Energy and mass are related by the famous equation developed by Albert Einstein:
where m = mass and c = speed of light
This equation explains that an object with very small mass can produce a large amount of energy in reactions such as a nuclear reaction.
Hence, the energy produced by the explosion of a Plutonium bomb containing 3.6 grams of matter is:
E =
Answer:
(a)
(b) 4.17 rev
(c) 6.40 sec
Explanation:
We have given the angular velocity of fan decreases from 550 rev/min to 180 rev/min
So initial angular speed
Final angular speed
Time is given as t = 4.3 sec
(a) We know that angular acceleration is given by
(b) We know the relation \Theta =\omega _0t+\frac{1}{2}\alpha t^2=9.166\times 4.3-\frac{1}{2}\times 1.43\times 4.3^2=26.1935rad=\frac{26.1935}{2\pi }=4.17rev
(c) Now final angular velocity
So time
Answer:
This is Introvert ting
Explanation:
u know when people are shy
i think they r known as Introvert
i hope this helps