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lys-0071 [83]
3 years ago
15

Can someone help with these questions?

Physics
1 answer:
yanalaym [24]3 years ago
6 0

One

Givens

  • v = 8.5 km/s = 8500 m/s
  • R = 25 cm = 0.25 m
  • B = 5.29 * 10^-3
  • q = 1.6*10^-19
  • m = ??

Formula

m*v^2/ R = qvB    Cancel 1 v on each side.

m*v / R = q*B

which for m when transposed is

m = q*B*R/v

m = 1.6*10^-19 * 5.29*10^-3 * 0.25 / 8500

m = 2.49 * 10^-26

Answer: A

Two

Givens

  • B = 0.5 T
  • q = 1.6 * 10^ -19
  • v = ??
  • m = 3.34 * 10^-27
  • R = 55.6 cm = 0.556 m

Formula

qvB = mv^2/R    Cancel one of the "v"s

qB = mv/R

qBR / m = v

Solution

1.6*10^-19 * 0.5 T * 0.556 m / 3.34 * 10^-27

13317365 = v

1.33 * 10^7 = v

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Answer:

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using the equation

E₀ = B₀ c

1027 = B₀ (3 x 10⁸)

B₀ = 3.42 x 10⁻⁶ T

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5 0
3 years ago
A uniform, 4.5 kg, square, solid wooden gate 2.0 mm on each side hangs vertically from a frictionless pivot at the center of its
True [87]

Answer:

The angular velocity is  w = 1.43\  rad/sec

Explanation:

From the question we are told that

   The  mass of wooden gate  is m_g = 4.5 kg

    The  length of side is  L = 2 m

    The mass of the raven is  m_r = 1.2 kg

     The initial speed of the raven is u_r = 5.0m/s

     The final speed of the raven is   v_r = 1.5 m/s

From the law of  conservation of angular momentum we express this question mathematically as

       Total initial angular momentum  of both the Raven and  the Gate =  The Final angular momentum of both the Raven and the Gate  

The initial angular momentum of the Raven is m_r * u_r * \frac{L}{2}

Note: the length is half because the Raven hit the gate at the mid point

The initial angular momentum of the Gate is  zero

Note: This above is the generally formula for angular momentum of  square objects

  The final angular velocity  of the Raven is  m_r * v_r * \frac{L}{2}

   The  final angular velocity of the Gate  is   \frac{1}{3} m_g L^2 w

Substituting this formula

  m_r * u_r * \frac{L}{2}  =   \frac{1}{3} m_g L^2 w + m_r * v_r * \frac{L}{2}

  \frac{1}{3} m_g L^2 w   =    m_r * v_r * \frac{L}{2} -   m_r * u_r * \frac{L}{2}

  \frac{1}{3} m_g L^2 w   =    m_r *  \frac{L}{2} * [u_r - v_r]

Where w is the angular velocity

     Substituting value  

   \frac{1}{3} (4.5)(2)^2  w   =    1.2 *  \frac{2}{2} * [5 - 1.5]

     6w = 4.2

       w = \frac{6}{4.2}

            w = 1.43\  rad/sec

5 0
3 years ago
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