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umka21 [38]
3 years ago
15

A 2 kg ball travelling West at 6 m/s collides with a 3 kg ball travelling South at 4 m/s stick together and move off with a comm

on velocity
i.
Apply appropriate formula to determine the magnitude and
direction of the common velocity Vc​

Physics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

<u>Momentum of 2 kg ball:</u>

velocity = 6 m/s

momentum (p)= mv

p = (2)(6) kg m/s

p = 12 kg m/s

kg m/s can also be written as 'N'

Force of 2 kg ball = 12 N

<u>Momentum of 3 kg ball:</u>

velocity = 4 m/s

momentum (p) = mv

p = (3)(4)

p = 12 kg m/s

Since kg m/s can also be written as 'N'

Force of 3 kg ball = 12 N

Now that we have the force applied by both the balls, we can find the resultant force using vector addition

2 kg ball's vector = -12 i

3 kg ball's vector = -12 j

Adding both the vectors, we get:

Resultant vector = -12 i -12 j

The speed both the balls will move at, is the magnitude of the resultant vector

Magnitude of the resultant vector:

|R|² = (i vector)² + (j vector)²

|R|² = (-12)² + (-12)²

|R|² = 144 + 144

|R|² = 288

|R| = √288

|R| = 17 m/s (approx)

The balls will move at a velocity of 17 m/s

<u>Direction of the Common velocity:</u>

TanΘ = Opposite / Adjacent

TanΘ = 12 / 12

Tan Θ = 1

Θ = Arctan(1)

Θ = 45 degrees

Therefore, the common velocity will be 45 degrees down from the horizontal

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Stella [2.4K]

Answer:

y = 67.6 feet,   y = 114.4/ (22 - 3t)

Explanation:

For this exercise let's use that light travels in a straight line and some trigonometric relationships, the symbols are in the attached diagram

Large triangle Projector up to the screen

         tan θ = y / L

For the small triangle. Projector up to the person

         tan θ = y₀ / (L-d)

The angle is the same, so we equate the two equations

         y₀ / (L -d) = y / L

         y = y₀  L / (L-d)

The distance from the screen (d), we look for it with kinematics

         v = d / t

        d = v t

we replace

         y = y₀ L / (L - v t)

         y = 5.2 22 / (22 - 3 t)

         y = 114.4 (22 - 3t)⁻¹

This is the equation of the shadow height change as a function of time

For the suggested distance the shadow has a height of

           y = 114.4 / (22-13)

           y = 67.6 feet

7 0
3 years ago
a circuit has a total resistance of 5 ohms and a current of 0.3 amperes. What voltage must the battery supply?
iren [92.7K]

Answer:

1.5volts

Explanation:

V=IR =0.3×5=1.5volts

5 0
3 years ago
Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time–when they\'re not sleep
Anit [1.1K]

Answer:

mice total momentum (-0.000250, 0.00639) Kg m

Explanation:

To calculate the moment of the mice we must multiply their mass by their velocities, remember that the moment is a vector quantity, so we use the components of velocity

mouse 1

  m1 = 0.0225 Kg

  V1 = (0.869, -0.283) m / s

 

  Px = m Vx

  Px1 = 0.0225 0.869

  Px1 = 0.01955 Kg m

  Py = m Vy

  Py1 = 0.0225 (-0.283)

  Py1 = -0.006368 Kg m

  P1 = (0.0196, -0.00637) Kg m

Mouse 2

 m2 = 0.0223 Kg

 Px2 = 0.0223 (-0.883) = -0.0196 Kg m

 Py2 = 0.0223 (-0.253) = -0.00564 Kg m

 P2 = (-0.0196, -0.00564) Kg m

Mouse 3

 m3 = 0.0197

 Px3 = 0.0197 0.345 = 0.00680 Kg m

 Py3 = 0.0197 0.803 = 0.0158 Kg m

 P3 = (0.00680, 0.0158) Kg m

Mouse4

  m4 = 0.0127 Kg

  Px4 = 0.0127 (-0.555) = -0.00705 Kg m

  Py4 = 0.0127 0.205 = 0.00260 Kg m

  P4 = (-0.00705, 0.00260) Kg m

To find the total momentum we must add each component of the individual moments

   Px = Px1 + Px2 + Px3 + Px4  

   Py = py1 + Py2 + Py3 + Py4

   Px = 0.0196 -0.0196 +0.00680 -0.00705

   Px = -0,000250 Kg m

   Py = -0.00637 -0.00564 +0.0158 +0.00260

   Py = 0.00639 Kg m

   P = (-0.000250, 0.00639) Kg m

7 0
3 years ago
What would happen to the marbles speed if we had longer tables
Zanzabum

Answer:

The marble will start to decrease in speed

Explanation:

The longer the table is the more the marbles speed would decrease because marbles can only be fast for a certain amount of time

7 0
3 years ago
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A typical wall outlet voltage is 120 volts in the United States. Personal MP3 players require much smaller voltages, typically 2
butalik [34]

Answer:        

Number of turns in secondary will be 7

Explanation:

We have given primary voltage V_p=120volt

Number of turns in the primary is N_p=3575

Secondary voltage is given V_s=235mV=0.235volt

We have to find the number of turns in secondary

We know that \frac{N_p}{N_s}=\frac{V_p}{V_s}

So \frac{3575}{N_s}=\frac{120}{0.235}

N_s=6.60

As the number of turns can not be in decimal so number of turns will be 7

6 0
3 years ago
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