A bungee jumper with mass 65.0 kg jumps from a high bridge. After reaching his lowest point, he oscillates up and down, hitting a low point eight more times in 38.0 s. After many oscillations, he finally comes to rest 25.0 m below the level of the bridge. Calculate the spring stiffness constant and the unstretched length of the bungee cord.

Answer:

t the apparent weight of the body decreases when it is submerged in water,

 F'_{e} = mg - ρ_liquid g V

Explanation:

When a container is placed on a scale it falls due to the weight of the body and the needle attached to the spring shows the value of the weight that is proportional to the displacement of the spring.

When the body is immersed in a container with water, it exerts a push on the body, so its apparent weight decreases and the compression of the scale is less, therefore it indicates a smaller weight of the body.

Let's write the equilibrium equation for the body is placed on the scale without water

               [tex]F_{e}[/tex] - W = 0

               F_{e} = W

Let us propose the equilibrium equation for this case

            F'_{e} + B - W = 0

where F'_{e} is the elastic force, B the push of the liquid and W the weight of the body

            F'_{e} = W -B

The thrust of the liquid is given by the Archimedean principle which says that it is equal to the weight of the dislodged liquid

            B = ρ g V

             F'_{e} = mg - ρ_liquid g V      (1)

we use the density concept

            ρ_body = m / V

we substitute

             F'_{e}= g V (ρ_body - ρ_agua)          (2)

             F'_{e} < F_{e}

We see  from expression is 1 and 2 that the apparent weight of the body decreases when it is submerged in water,

To know the specific value of the decrease, the weight of the body in the air or its density and volume must be known

Answer:

c

Explanation:

Answer:

232.641374 mph

Explanation:

A race car has a maximum speed of 0.104km/s

Let X represent the speed in miles per hour

Therefore the speed in miles per hour can be calculated as follows

1 km/s = 2,236.936292 mph

0.104km/s = X

X = 0.104 × 2,236.936292

X = 232.641374

Hence the speed in miles per hour is 232.641374 mph

Speed of the car can be defined by the ratio of distance traveled by time elepsed. The speed of the given car is 233.212 miles/hr.

Speed can be defined by the change in position of an object in a given period of time.

[tex]\bold {Speed = \dfrac {Distance }{Time}}[/tex]

Given here,

The speed of the car is 0.104 km/s

Since 1 km = 0.621

So,  0.104 km = 0.0646

and 1 s = 0.000277

So, the speed of the car in  miles per hour,

[tex]Speed = \dfrac {0.0646 \rm \ miles }{0.000277}\\\\ Speed =233.212 \rm \ miles/hr[/tex]

Therefore, the speed of the given car is 233.212 miles/hr.

Learn more about unit conversion:

https://brainly.com/question/4736731

Answer:

oxygen silicon aluminun iron

Answer:

90 m/s

Explanation:

Time taken = 4 sec

Distance travelled = 360 m

Speed = Distance / Time = 360/4 = 90 m/s

Distance travelled = 360m

Time taken = 4s

We have to find speed[tex].[/tex]

_________________________________

◈ Speed is defined as the ratio of distance travelled to the timr taken.

SI unit : m/s

➝ Speed = Distance / Time

➝ Speed = 360/4

➝ Speed = 90m/s

Answer:

Lost Money = $ 53200

Explanation:

First, we calculate the selling price of the cloth:

Selling Price = (Area of Bought Fabric)(Unit Price in America)

Selling Price = (500 m²)($ 120/yard²)(1 yard/0.9144 m)²

Selling Price = $ 71759.4

Now, we calculate the amount that the cloth maker paid (cost) for buying the fabric from America:

Cost = (Area of Fabric Bought)(Unit Selling Price)

Cost = (500 m²)(400 tepizes/ m²)($ 0.625/1 tepize)

Cost = $ 125000

Hence, the money lost is given as:

Lost Money = Cost - Selling Price

Lost Money = $ 125000 - $ 71759.4

Lost Money = $ 53240

Rounding off to 3 significant figures, we get:

Lost Money = $ 53200

Answer:

120 Newtons.

Explanation:

Work(Joules) = Force(Newtons) × Distance(Meters)

If we need to find the Force, the equation changes.

To find Force, you have to divide the Work done from the Distance. Have a look at the picture above.

Answer:i

9E13 ELECTRONS

Explanation:

First we find the number of charges in two hrs

Which is - 2x 7200=- 14400NC

So no of electrons is now q/e

-144x10^-7/-1.6*10^-19

= 9*10^13

The answer is "the product of the object's moment of inertia and the object's angular velocity.

The correct definition of angular momentum would be that it is the product of the object’s moment of inertia and the object’s angular velocity, therefore the correct answer is option A.

It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.

As given in the problem we have to find the correct definition of angular momentum,

The angular momentum of the object = the moment of the inertia of the object × the angular velocity of the particle

The right response is option A since the definition of angular momentum is that it is the product of an object's moment of inertia and its angular velocity.

To learn more about momentum from here, refer to the link given below ;

brainly.com/question/17662202

#SPJ6

Answer is given below

Explanation:

Answer:

(A) The maximum height of the ball is 40.57 m

(B) Time spent by the ball on air is 5.76 s

(C) at 33.23 m the speed will be 12 m/s

Explanation:

Given;

initial velocity of the ball, u = 28.2 m/s

(A) The maximum height

At maximum height, the final velocity, v = 0

v² = u² -2gh

u² = 2gh

[tex]h = \frac{u^2}{2g}\\\\h = \frac{(28.2)^2}{2*9.8}\\\\h = 40.57 \ m[/tex]

(B) Time spent by the ball on air

Time of flight = Time to reach maximum height + time to hit ground.

Time to reach maximum height = time to hit ground.

Time to reach maximum height  is given by;

v = u - gt

u = gt

[tex]t = \frac{u}{g}[/tex]

Time of flight, T = 2t

[tex]T = \frac{2u}{g}\\\\ T = \frac{2*28.2}{9.8}\\\\ T = 5.76 \ s[/tex]

(C) the position of the ball at 12 m/s

As the ball moves upwards, the speed drops, then the height of the ball when the speed drops to 12m/s will be calculated by applying the equation below.

v² = u² - 2gh

12² = 28.2² - 2(9.8)h

12² - 28.2² = - 2(9.8)h

-651.24 = -19.6h

h = 651.24 / 19.6

h = 33.23 m

Thus, at 33.23 m the speed will be 12 m/s

Answer:

There are eight planets in our Solar System.

Explanation:

Answer:

8

Explanation:

Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune

Answer:

Answer:

neither A nor B

Explanation:

There are a lot of reasons, quite handful of them. About why scientists repeat experiments.

They do so sometimes to persistently verify the results they have gotten. Another reason is so as to be able to study and improve them in other ways.

This is just 2 of the very many reasons why scientists repeat experiments. Remember the popular saying, that practice makes perfect? yeah, that's just it

I hope you understand. Thanks

Answer:

Option C. The delivery van has the greatest kinetic energy because its mass is greater than that of the other

vehicles.

Explanation:

Kinetic energy is the energy of an object in motion. Mathematically, it is expressed as:

K.E = ½mv²

Where:

K.E is the kinetic energy.

m is the mass of the object.

v is the velocity of the object.

From the formula above, we can say that:

Kinetic energy is directly proportional to the mass of the object and the square of the velocity of the object. This simply means that objects with higher mass will have a greater kinetic energy than objects will lighter mass even if their velocities are the same.

From the question given above, it is obvious that the delivery van has a greater mass than the rest object.

Therefore, the delivery van will have the greatest kinetic energy because its mass is greater than that of the other

vehicles.

Answer:

1. OK the

1. The horizontal axis of a osclloscope is generally TIME axis.

2. given T =25 micro second

That is = 25E-6 s

Then We f = (1/T) .

So f = 1/(25 x 10^-6) = 40000 Hz =

40 KHz.

3. First Band will be Yellow

Second Band will be Violet

Third Band will be Red

And

Fourth Band will be Gold

Thus, the value of the resistance = (47 x 100)plus or minus 5%

= (4700 plus or minua5%) ohm

the range of the acceptable value of the resistance will now be

= 4465 ohm to 4935 ohm

(4)

The level provided by the wall outlet = 120 x √2 = 169.68 V

The √2 is because the multimeter measures RMS voltage rather than peak voltage and

RMS Voltage is = √2 x peak voltage

Answer:

65 miles per hour

Explanation:

Speed= Distance/Time

Following this formula, we just need to insert the values.

The distance is 125 miles and the time is 2 hours

125=2=65

65 miles per hour

The speed of the car was exactly 125 mi per 2 hours.

In a more familiar unit,  125mi/2hr = 62.5 mi/hr.

Answer:

Pluto

Explanation:

In our solar system, we have several planet. Pluto is one of the. Pluto is a planet that is highly oval shaped orbit and eccentric that brings it inside the another orbit. It get inside the orbit of Neptune. Sometimes even Neptune get far away from sun in comparison to the dwarf planet Pluto.

It is very strange happening in the world of planet. it occurs in the year of 1979 and 1999. But Pluto never ever crashed into Neptune. It happen because Neptune takes every three lapse that takes around the sun but Pluto makes only two lapse. This happening prevents two bodies from clashes.

Answer:

false

Explanation:

burning something is a chemical change

Answer:

0.9 Amps

Explanation:

Ohm's law: Voltage = Current x Resistance

Rearrange equation:

Current =Voltage/Resistance

Voltage=6v

In a series circuit the total resistance is the sum of all the resistors so the total resistance = 0.1+0.15+0.2+0.25+6=6.7 Ohms

6/6.7 = 0.9 (1dp) Amps

Because it is a series circuit, the current is the same throughout the entire circuit, all the resistors have a current of 0.9 Amps.

Hope this helped!

Answer:

Frequency of light = 5454.5 GHz

Refractive index = 1.46

speed of light in quartz = 2.05 x 10^8 m/s

Explanation:

The wavelength of the light λ = 550 nm = 550 x 10^-9 m

frequency = ?

Frequency of light f = c/λ

where

c is the speed of light = 3 x 10^8 m/s

substituting, we have

f = (3 x 10^8)/(550 x 10^-9)

frequency f = 5.4545 x 10^14 Hz

==> 5454.5 GHz

The relationship between refractive index is given as

n1 sinθ1 = n2 sinθ2

where

n1 is the refractive index of air = 1

θ1 is the angle of incidence = (90 -70) = 20°

θ2 is the angle of refraction = (90 - 76.46) = 13.54°

n2 is the refractive index of quartz

substituting values, we have

1 x sin 20 = n2 x sin 13.54

0.3420 = n2 x 0.2341

refractive index of quartz n2 = 0.3420/0.2341 = 1.46

From n = c/v

where

n is the refractive index of quartz

c is the speed of light in air = 3 x 10^8 m/s

v is the speed of light in quartz = ?

substituting values, we have

1.46 = (3 x 10^8)/v

v = (3 x 10^8)/1.46 = 2.05 x 10^8 m/s

Answer:

Option B

200 cm

Explanation:

From statistical evidence, the average height of an adult is about 200cm. This is like 2m or 6.56 feet.

Despite the fact that there are some exceptions; with some adults reaching heights of about seven feet, and some dwarfs who stand only about 1 m tall,  most adults only grow to about 200cm in height before they start shrinking due to old age.

Answer:

A

Explanation:

Because it is a region in atmosphere that allows an particular wavelength of EMWs to pass through and of the options above only visible light is allowed to pass through

-- If the two resistors are connected in series, then they behave like a single resistor whose resistance is (R₁ + R₂) ohms.

-- For any resistance, the potential difference (volts) across the resistance is   V = (current) x (resistance) .

-- So in THIS circuit,  V = I x (R₁ + R₂) .

Answer:

The  value is   [tex]\alpha =  0.002 Np/m[/tex]

Explanation:

From the question we are told that

  The first amplitude of the wave is  [tex]E_{max}1 =  98.02 \  V/m[/tex]

  The first  depth  is  [tex]D_1 =  10 \  m[/tex]

   The second amplitude is  [tex]E_{max}2 =  81.87 \  (V/m)[/tex]

   The second depth is [tex]D_2 = 100 \ m[/tex]

Generally from the spatial wave equation we have

   [tex]v(x) =  Ae^{-\alpha d}cos(\beta x  + \phi_o)[/tex]

=>       [tex]\frac{v(x)}{v(x)} =\frac{  Ae^{-\alpha d}cos(\beta x  + \phi_o)}{ Ae^{-\alpha d}cos(\beta x  + \phi_o)}[/tex]

So considering the ratio of the equation for the  two depth

[tex]\frac{A}{A_S}  =  \frac{e^{-D_1 \alpha }}{e^{-D_2 \alpha }}[/tex]

=>   [tex]\frac{98.02}{81.87}  =  \frac{e^{-10 \alpha }}{e^{-100 \alpha }}[/tex]

=>   [tex]\alpha  =  \frac{0.18}{90}[/tex]

=>    [tex]\alpha =  0.002 Np/m[/tex]

Answer:

Valid Expressions are; t = ∛(d²/va), a = d/t², a = √(vd/t³), v = at

while the Invalid expressions are;  v = a/t and  d = at

Explanation:

Given expressions

1) v = a/t

2) t = ∛(d²/va)

3) d = at

4) a = d/t²

5) a = √(vd/t³)

6) v = at

First we get our units of parameters

V = m/s, t = sec, d = m, a = m/s²

so

1)

v = a/t

we substitute in our units of parameters

v = m/s² / s = m/s² × 1/s = m/s³

v ≠ m/s³

therefore it is false

2)

t = ∛(d²/va)

we substitute

t = ∛(m² / m/s × m/s²)

t = ∛(m² / m²/s³)

t = ∛(s³)

t = s

correct, the expression is true

3)

d = at

we substitute

d = m/s² × s

d = m/s² × s/1 =  ms/s² = m/s

d ≠ m/s (because d = m)

so expression is false

4)

a = d/t²

we substitute

a = m / s² = m/s²

correct

the expression is true

5)

a = √(vd/t³)

we substitute

a = √(m/s×m / s³) = √(m²/s / s³) = √(m²/s × 1/s³)  = √(m²/s⁴) = m/s²

so a = m/s²

correct

the expression is true

6)

v = at

we substitute in the units

v = m/s² × s = m/s² ×s/1 = ms/s² = m/s

v = m/s

correct

the expression is correct