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uranmaximum [27]
3 years ago
6

Find the value of the spring constant for the spring in Trial I. Use 0.367 s for the value of the period. The mass of the suspen

ded block is 0.400 kg.
Physics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:

117.28 N/m

Explanation:

step one:

given

Period T= 0.367s

mass m= 0.4kg

Required

the spring constant k

Step two:

The expression for the period, mass and spring constant relation is

T=2π√m/k

making k subject of the formula

T/2 \pi = \sqrt m/k

square both sides

(T/2 \pi)^2= m/k

k= m/(T/2 \pi)^2

k=0.4/(0.367/2*3.142)^2

k=0.4/(0.05840)^2

k=0.4/0.0034105\\\\k=117.28 N/m

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A 75.0-kg person is riding in a car moving at 20.0 m/s when the car runs into a bridge abutment. (a) calculate the average force
iragen [17]

(a) -1.5\cdot 10^6 N

First of all, we need to calculate the acceleration of the person, by using the following SUVAT equation:

v^2 -u ^2 = 2ad

where

v = 0 is the final velocity

u = 20.0 m/s is the initial velocity

a is the acceleration

d = 1.00 cm = 0.01 m is the displacement of the person

Solving for a,

a=\frac{v^2-u^2}{2d}=\frac{0-20.0^2}{2(0.01)}=-20000 m/s^2

And the average force on the person is given by

F=ma

with m = 75.0 kg being the mass of the person. Substituting,

F=(75)(-20000)=-1.5\cdot 10^6 N

where the negative sign means the force is opposite to the direction of motion of the person.

b) -1.0\cdot 10^5 N

In this case,

v = 0 is the final velocity

u = 20.0 m/s is the initial velocity

a is the acceleration

d  = 15.00 cm = 0.15 m is the displacement of the person with the air bag

So the acceleration is

a=\frac{v^2-u^2}{2d}=\frac{0-20.0^2}{2(0.15)}=-1333 m/s^2

So the average force on the person is

F=ma=(75)(-1333)=-1.0\cdot 10^5 N

7 0
4 years ago
Light passes through a 0.15 mm-wide slit and forms a diffraction pattern on a screen 1.25 m behind the slit. The width of the ce
Elena L [17]

Answer:

The value is  \lambda =  900 \ nm

Explanation:

From the question we are told that

   The width of the slit is  a =  0.15 \ mm = 0.00015 \  m

     The distance of the screen from the slit is D = 1.25 m

      The width of the central maximum is y =  0.75 \ cm  = 0.0075 \ m

Generally the width of the central maximum is mathematically represented as

         y   =  \frac{m *  D  *  \lambda}{a}

Here  m is the order of the fringe and given that we are considering the central maximum, the order will be  m =  1  because the with of the central maximum separate's the and first maxima

So

        \lambda     =     \frac{a y}{ m *  D }

=>     \lambda     =     \frac{ 0.000015 *  0.0075}{ 1  *  1.2 }

=>     \lambda     =   900 *10^{-9} \  m

=>      \lambda =  900 \ nm

6 0
3 years ago
1 What conclusion can you draw about semicircular canals from their name ? A Their shape B Their size Their location in your bod
oee [108]

Answer:

A. Their shape

Explanation:

The name clearly shows that the shape of these canals are semi-circular. The semi-circular canals consist of three tubes filled with fluid and located in the inner ear. They help to maintain balance and transmit impulses through the movement of the fluids. The impulses sent through these fluids are sent to the brain for interpretation.

The function of the canals are not indicated by the name, rather the shape is hinted through the name.

7 0
3 years ago
Sometimes scientists make a mistake, or ___, and need to do the experiment again?
Vlad1618 [11]
Sometimes scientists make a mistake or Miscalculate and need to do the experiment again. 
5 0
3 years ago
A drum rotates around its central axis at an angular velocity of 19.8 rad/s. If the drum then slows at a constant rate of 3.02 r
Debora [2.8K]

a) Time taken =6.39 s

b) Angle of rotation while coming to rest = 188.17 rad

<u>Explanation:</u>

Initial angular velocity of the drum \omega_{0} = 19.8 rad/s^{2}

Angular acceleration of the drum \alpha = -3.02 rad/s^{2}

a.) We know that

\omega =\omega_{0} + \alpha  t

0 =  19.8 - 3.02 t

t = \frac{19.8}{3.02}

t = 6.39s

b.) we know that

\theta = \omega_{0} t + \frac{1}{2} \alpha   t^{2}

\theta = 19.8 \times 6.39 + \frac{1}{2} \times 3.02 \times 6.39^{2}

\theta =188.17 rad

3 0
4 years ago
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