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Lina20 [59]
2 years ago
13

Planet X has a magnetic field with strength 0.80 G in the southern direction. When a probe is placed 30 mm east of a vertical wi

re it measures a field of 0.60 G in the southern direction. What would a probe read if placed 10 mm east of the vertical wire?
A. 0.20 G towards the south
B. 0.60 G towards the north
C. 1.00 G towards the south
D. 1.40 G towards the north
Physics
1 answer:
sleet_krkn [62]2 years ago
8 0
0.20 G towards the south
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A block with a mass of 9.00 kg is pulled at a constant speed across a horizontal tabletop with a spring scale. The scale reads 6
snow_tiger [21]

Answer:0.69

Explanation:

Coefficient of kinetic friction=f/R=61.8/90=0.69

7 0
2 years ago
In a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so
Pepsi [2]

Answer:

(a) 181.05 m/s²

(b) 13.2°

Explanation:

Given:

Radius of the circle (R) = 0.610 m

Angular acceleration (α) = 67.6 rad/s²

Angular speed (ω) = 17.0 rad/s

(a)

Radial acceleration of the ball is given as:

a_r=\omega^2R

Plug in the given values and solve for a_r. This gives,

a_r=(17.0\ rad/s)^2\times (0.610\ m)\\\\a_r=289\times 0.610\ m/s^2\\\\a_r=176.29\ m/s^2

Now, tangential acceleration is given by the formula:

a_t=R\alpha

Plug in the given values and solve for a_t. This gives,

a_t=(0.610\ m)(67.6\ rad/s^2)\\\\a_t=41.236\ m/s^2

Now, the magnitude of total acceleration is given as the square root of the sum of the squares of tangential and centripetal accelerations. Therefore,

a_{Total}=\sqrt{(a_r)^2+(a_t)^2}

Plug in the given values and solve for total acceleration, a_{Total}. This gives,

a_{Total}=\sqrt{(176.29)^2+(41.236)^2}\\\\a_{Total}=181.05\ m/s^2

Therefore, the magnitude of total acceleration is 181.05 m/s².

(b)

Angle of total acceleration relative to radial direction is given by the formula:

\theta=\tan^{-1}(\frac{a_t}{a_r})\\\\\theta=\tan^{-1}(\frac{41.236}{176.29})\\\\\theta=13.2\°

Therefore, the total acceleration makes an angle of 13.2° relative to radial direction.

4 0
2 years ago
Part A At t tt = 2.0 s s , what is the particle's position? Express your answer to two significant figures and include the appro
mars1129 [50]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The particle's position is  x_{2} =  10 m

The particle's velocity is  v = 2 \ m/s

Explanation:

From the question we are told that  

       x = 2m  at  t_o = 0 \ sec

        and  from the graph at t = 0  v = 6 /m

Now the acceleration which is the slope of the graph is mathematically represented as

        a = - \frac{6 - 4}{3-2}

        a = - 2 m/s^2

The negative sign shows that it is a negative slope

       Now to obtain the velocity at t = 2 sec

We use the equation of motion as follows

          v = v_o + at

  substituting values '

       v =  6 + (-2)(2)

      v = 2 \ m/s

Now to obtain the position of the particle at   v = 2 m/s

      We use the equation of motion as follows

       v^2 = v_o ^2 + 2 ax

So    2 ^2 = 6^2 + 2(-2)x

       4x = 32

       x = 8 m

From above    x = 2m  at  t_o = 0 \ sec

So the position at t =  2 s

           x_{2} =  x + x_o

          x_{2} =  2 + 8

        x_{2} =  10 m

       

 

7 0
2 years ago
A radioactive substance decays according to the formula w = 20e¡kt grams where t is the time in hours. a find k given that after
blagie [28]
W=20 e(-kt)  
A. Rearranging gives k= -(ln(w/20)/t 
 Substituting w= 10 and solving gives k=0.014 
 B. Using W=20e(-kt). After 0 hours, W=20. After 24 hours, W=14.29g. After 1 week (24x7=168h) W=1.9g 
 C. Rearranging gives t=-(ln(10/20)/k. Substituting w=1 and solving gives t=214 hours. 
 D. Differentiating gives dW/ dt = -20ke(-kt). Solving for t=100 gives dW/dt = 0.07g/h. Solving for t=1000 gives 0.0000002g/h 
 E. dW/dt = -20ke(-kt). But W=20e(-kt) so dW/dt = -kW
5 0
2 years ago
Car A and Car B approach each other
vagabundo [1.1K]

The original frequency of horn of Car A is 1071 Hz.

Explanation:

Doppler effect describes the change in the frequency of sound waves with respect to the observer. As the sound waves emitted from a source need to travel the air medium to reach observer, it will undergo loss in energy. So there will be change in its frequency compared to original frequency. Depending upon the direction of travel of source and observer the shifting of frequency will vary.

f'=\frac{v-v_{o} }{v-v_{s} } f

Here vo is the observer velocity and vs is the velocity of the source. So Vo = 15 m/s as car B is the observer and Vs = 35 m/s as car A is the source. And f is the frequency of sound wave at source that is car A.

Similarly, the doppler shift in frequency is the frequency of sound heard by car B which is f' = 1140 Hz. And v is the speed of sound that is v = 343 m/s

1140 = \frac{343-15}{343-35}*f= 1.0649 *f

f = 1140/1.0649= 1071 Hz.

Thus, the original frequency of horn of Car A is 1071 Hz.

3 0
2 years ago
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