Mass of yellow train, my = 100 kg
Initial Velocity of yellow train, = 8 m/s
mass of orange train = 200 kg
Initial Velocity of orange train = -1 m/s (since it moves opposite direction to the yellow train, we will put negative to show the opposite direction)
To calculate the initial momentum of both trains, we will use the principle of conservation of momentum which
The sum of initial momentum = the sum of final momentum
Since the question only wants the sum of initial momentum,
(100)(8) + (200)(-1) = 600 m/s
The answers to your questions are as written below:
- The objects that represents a negatively charged particle is : Image B
- The object that represents a positively charged molecule is : Image A
- The object that represents an uncharged molecule is : Image C
- The object the will not move when in an electric fied is : Image C
<h3>Different types of charges molecules</h3>
A negatively charged molecule move inwards when placed in an electric field while positively charged molecule placed in a electric field will move outwards the electric field.
A neutral/uncharged molecule will remains still when placd in an elctric field due to the absence of charges.
Hence we can concude that the answers to your questions are as listed above.
Learn more about electric charges :brainly.com/question/857179
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attached below is the missing image
Answer:
The maximum torque in the coil is
.
Explanation:
Given that,
Number of turns in the circular coil, N = 50
Radius of coil, r = 5 cm
Magnetic field, B = 0.5 T
Current in coil, I = 25 mA
We need to find the magnitude of the maximum possible torque exerted on the coil. The magnetic torque is given by :
![\tau=NIAB\ \sin\theta](https://tex.z-dn.net/?f=%5Ctau%3DNIAB%5C%20%5Csin%5Ctheta)
For maximum torque, ![\theta=90^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D90%5E%7B%5Ccirc%7D)
![\tau=NIAB\\\\\tau=50\times 25\times 10^{-3}\times \pi (0.05)^2\times 0.5\\\\\tau=4.9\times 10^{-3}\ N-m](https://tex.z-dn.net/?f=%5Ctau%3DNIAB%5C%5C%5C%5C%5Ctau%3D50%5Ctimes%2025%5Ctimes%2010%5E%7B-3%7D%5Ctimes%20%5Cpi%20%280.05%29%5E2%5Ctimes%200.5%5C%5C%5C%5C%5Ctau%3D4.9%5Ctimes%2010%5E%7B-3%7D%5C%20N-m)
So, the maximum torque in the coil is
.
Answer:
0.37 m
Explanation:
The angular frequency, ω, of a loaded spring is related to the period, T, by
![\omega = \dfrac{2\pi}{T}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cdfrac%7B2%5Cpi%7D%7BT%7D)
The maximum velocity of the oscillation occurs at the equilibrium point and is given by
![v = \omega A](https://tex.z-dn.net/?f=v%20%3D%20%5Comega%20A)
A is the amplitude or maximum displacement from the equilibrium.
![v = \dfrac{2\pi A}{T}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B2%5Cpi%20A%7D%7BT%7D)
From the the question, T = 0.58 and A = 25 cm = 0.25 m. Taking π as 3.142,
![v = \dfrac{2\times3.142\times0.25\text{ m}}{0.58\text{ s}} = 2.71 \text{ m/s}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B2%5Ctimes3.142%5Ctimes0.25%5Ctext%7B%20m%7D%7D%7B0.58%5Ctext%7B%20s%7D%7D%20%3D%202.71%20%5Ctext%7B%20m%2Fs%7D)
To determine the height we reached, we consider the beginning of the vertical motion as the equilibrium point with velocity, v. Since it is against gravity, acceleration of gravity is negative. At maximum height, the final velocity is 0 m/s. We use the equation
![v_f^2 = v_i^2+2ah](https://tex.z-dn.net/?f=v_f%5E2%20%3D%20v_i%5E2%2B2ah)
is the final velocity,
is the initial velocity (same as v above), a is acceleration of gravity and h is the height.
![h = \dfrac{v_f^2 - v_i^2}{2a}](https://tex.z-dn.net/?f=h%20%3D%20%5Cdfrac%7Bv_f%5E2%20-%20v_i%5E2%7D%7B2a%7D)
![h = \dfrac{0^2 - 2.71^2}{2\times-9.81} = 0.37 \text{ m}](https://tex.z-dn.net/?f=h%20%3D%20%5Cdfrac%7B0%5E2%20-%202.71%5E2%7D%7B2%5Ctimes-9.81%7D%20%3D%200.37%20%5Ctext%7B%20m%7D)