What is the mass of the heaviest book this person can hold onto vertically before it slips out of his or her fingers? The coefficient of static friction of the surface between the fingers and the book cover is 0.65.

Answers

Answer 1

Answer:

0.795 kg

Explanation:

Assuming the complete question:

A person with compromised pinch strength in their fingers can only exert a normal force of 6.0 N to either side of a pinch-held  object. What is the mass of the heaviest book this person can hold onto vertically before it slips out of his or her fingers? The  coefficient of static friction of the surface between the fingers and the book cover is 0.60

SOLUTION:

The maximum weight of the book will equal the maximal friction force that can be produced:

m g = 2 f [tex]F{normal}[/tex]

 

Note that there are two sides of the book, so the friction force equals 2 times the friction force on one side (hence the factor 2).

So the maximum mass of the book is

m = 2 f [tex]F_n[/tex]/ g

m = 2[tex]\times[/tex]0.65[tex]\times[/tex] 6.0N / (9.81N/kg)  

m = 0.795 kg


Related Questions

A 12.0-kg block is pushed across a rough horizontal surface by a force that is angled 30.0◦ below the horizontal. The magnitude of the force is 75.0 N and the acceleration of the block as it is pushed is 3.20 m/s2. What is the magnitude of the contact force exerted on the block by the surface?

Answers

Answer:

157.36 N

Explanation:

Contact force is the force which is created due to contact and it is applied on the contact point . The force applied by body on the surface is its weight .

If R be the reaction force of the ground

R = mg + F son30

= 12 x 9.8 + 75 sin 30

= 117.6 + 37.5

= 155.10 N .

friction force = f

Net force in forward direction = F cos 30 - f  = ma

75cos 30 - f = 12 x 3.2

f = 65 - 38.4

= 26.6 N  

Total force on the surface =√( f² + R² )

√ (26.6² + 155.1²)

= √707.56 + 24056²

=√ 24763.57

= 157.36 N.

contact force = 157.36 N .

An isotope has 46 electrons, 60 neutrons, and 46 protons. Name the isotope.

Answers

Answer:

Palladium

Explanation:

Answer:

palladium-106

Explanation:

46 protons -46 electrons=no charge

46 electrons +60neutron = 106

Thus this is called palladium -106

list and discuss how the nature of a rural settlements affect the type and expanse of agricultural activities ​

Answers

Answer:

Availability of land for Agricultural activities- The rural areas are known for a lesser degree of development which means lesser factories and other work buildings. The area has undeveloped lands which are usually used for a commercial type of agricultural activities.

Bad road networks: Bad road networks are mainly associated with rural settlements. This hinders to an extent the agricultural activities of planting and harvesting of crops due to difficulties in moving of the crops.

Linear charge density 4.00×10−12 C/m surrounds an infinitely long line charge. A positively charged elementary particle (mass 1.67×10−27 kg, charge +1.60×10−19 C) is 15.0 cm from this line charge. Consider that this elementary particle is moving at speed 3.20×103 m/s directly toward the line charge.
Part A- Find the initial kinetic energy of this elementary particle.
Part B- Find the closest distance that the elementary particle get to the line charge?

Answers

Answer:

A)Kopya

B)YASAK

Explanation:

kopya yasak dostum adın da belli. Başın belaya girmesin

An excited hydrogen atom releases an electromagnetic wave to return to its normal state. You use your futuristic dual electric/magnetic field tester on the electromagnetic wave to find the directions of the electric field and magnetic field. Your device tells you that the electric field is pointing in the negative x direction and the magnetic field is pointing in the negative y direction. In which direction does the released electromagnetic wave travel

Answers

Answer: the magnetic wave will travel out of the screen.

Explanation:

Electric field direction is perpendicular to the magnetic field direction. Both are also perpendicular to the direction of the particles.

Using right hand rule to solve this problem,

This pointed finger depicts the electric field direction which the curly fingers depict the direction of the magnetic field. The pointed thumb will depict the direction in which the wave travel. Which is out of the screen.

Since astronauts in orbit are apparently weightless, a clever method of measuring their masses is needed to monitor their mass gains or losses to adjust diets. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of magnitude 52.0 N is exerted and the magnitude of the astronaut's acceleration is measured to be 0.936 m/s2. Calculate her mass.

Answers

Answer:

55.56kg

Explanation:

Given:

F= 52N

a=0.936m/s²

Applyinc Newton's second law, that states: force is equal to mass times acceleration.

F = ma

m=F/a =>52 / 0.936

m=55.56kg

A ball is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45 degrees. With what speed was it thrown?

Answers

Answer:

Explanation:

This is the case of horizontal projection from a height:

Time, t = sqrt ( 2h / g )

= sqrt ( 2 * 20 / 9.8 )

= 2.02 s

Vfx = V

Vfy = g* t = 2.02 g

theta (θ)= 45 deg

tan theta (tan θ) = Vfy / Vfx

tan 45 = 2.02 g / V

V = 2.02 * 9.8

= 19.8 m/s

≅ 20m/s

A baton twirler in a marching band competition grabs one end of her 1.2 kg, 1.0 meter long baton. She throws her baton into the air such that it rises to a height of 5.0 meters while spinning end over end at a rate of 3.5 revolutions per second. How much work did she do on the baton?

Answers

Answer:

349 J

Explanation:

Length L of baton = 1.0 m

Mass m of baton = 1.2 kg

Weight W of baton = 1.2 kg x 9.81 m/[tex]s^{2}[/tex] = 11.772 N

Height h reached = 5.0 m

Angular speed ω = 3.5 rev/s = 2π x 3.5 (rad/s) = 21.99 rad/s

Total work done on baton will be the work done in taking it to a height of 5.0 m and the kinetic energy with which the baton rolls.

Work done to bringing it to the height of 5.0 m = weight x height above ground

W x h = 11.772 x 5 = 58.86 J

Velocity v of spinning baton = ω x L = 21.99 x 1 = 21.99 m/s

Kinetic energy = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex] =

Total work done on baton = 58.86 + 290.14 = 349 J

A human expedition lands on an alien moon. One of the explorers is able to jump a maximum distance of 16.0 m with an initial speed of 2.90 m/s. Find the gravitational acceleration on the surface of the alien moon. Assume the planet has a negligible atmosphere. (Enter the magnitude in m/s2.)

Answers

Answer:

Gravitational acceleration (g) = 0.4205 m/s²

Explanation:

Given:

Distance (R) = 20 m

Initial speed (u) = 2.90 m/s

Find:

Gravitational acceleration (g)

Computation:

⇒ Distance (R) = [Initial speed (u)]²/ Gravitational acceleration (g)

⇒ Gravitational acceleration (g) =  [Initial speed (u)]² / Distance (R)

⇒ Gravitational acceleration (g) = 2.90 ² / 20

⇒ Gravitational acceleration (g) = 8.41 / 20

Gravitational acceleration (g) = 0.4205 m/s²

Silver and Copper rods of equal areas are placed end to end with the free end of the silver rod in ice at 0.00 degrees Celsius and the free end of the copper rod in steam at 100. degrees Celsius. The Silver rod is 15.0 cm in length and the copper rod is 25.0 cm in length.
a) What is the temperature of the junction between copper and sliver when they have come to equilibrium?
b) How much ice (in grams) melts per second?

Answers

Answer:

A.) The temperature of the junction between copper and sliver when they have come to equilibrium is 35 degree Celsius

B.) ice (in grams) melts per second = 0.078 kg/s

Explanation:

A.) Given that the two material are of the same area.

The Silver rod is 15.0 cm in length and the copper rod is 25.0 cm in length.

Silver temperature = 0 degree Celsius

Copper temperature = 100 degree Celsius

Thermal conductivity k of silver = 429 W/m•K

Thermal conductivity k of copper = 385W/m.k

Rate of energy transferred P in the two materials can be expressed as

P = k.A.dT/L

dT = change in temperature

Since the rate and the area are the same

429 ( T -0 )/0.15 = 385( 100 - T )/0.25

2860T = 1540(100 - T)

Open the bracket

2860T = 154000 - 1540T

Collect the like terms

2860T + 1540T = 154000

4400T = 154000

T = 154000/4400

T = 35 degree Celsius

The temperature of the junction between copper and sliver when they have come to equilibrium is 35 degree Celsius

B.) Rate of energy transferred P will be

P = 2860 × 35 = 100100

P = Q/t ..... (1)

Where Q = energy transferred

But Q = mcØ .....(2)

And specific heat capacity c of water = 4182J/k.kg

Substitutes Q into formula 1.

P = mcØ/t

Make m/t the subject of formula

m/t = P/cØ

m/t = 100100/ 4182( 35 + 273 )

m/t = 100100/1288056

m/t = 0.078 kg/s

A projectile is fired from ground level at an angle above the horizontal on an airless planet where g = 10.0 m/s2. The initial x and y components of its velocity are 86.6 m/s and 50.0 m/s respectively. How long after firing does it take before the projectile hits the level ground?

Answers

Answer:

10 s

Explanation:

We are given that

[tex]g=10.0m/s^2[/tex]

Initially

[tex]v_x=86.6m/s,y=50.0m/s[/tex]

We have to find the time after firing taken  by projectile before it hits the level ground.

v=[tex]\sqrt{v^2_x+v^2_y}[/tex]

[tex]v=\sqrt{(86.6)^2+(50)^2}=99.99 m/s[/tex]

[tex]\theta=tan^{-1}(\frac{v_x}{v_y})[/tex]

[tex]\theta=tan^{-1}(\frac{50}{86.6})=30^{\circ}[/tex]

Now,

[tex]t=\frac{vsin\theta}{g}[/tex]

Using the formula

[tex]t=\frac{99.99sin30}{10}[/tex]

[tex]t=4.99\approx 5 s[/tex]

Now, total time,T=2t=[tex]2\times 5=10s[/tex]

Hence, after firing it takes 10 s before the projectile hits the level ground.

A neutron star has about one and a half times the mass of our Sun but has collapsed to a radius of 10 kmkm . Part A What is the acceleration due to gravity on the surface of this star in terms of the free-fall acceleration at Earth's surface?

Answers

Answer:

gₓ = 1.36 x 10¹³ g

Explanation:

The value of acceleration due to gravity at a certain place is given by the following formula:

gₓ = GM/R²

where,

gₓ = acceleration due to gravity on the surface of neutron star

G = Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

M = Mass of the star = 10 * Mass of sun = (10)(2 x 10³⁰ kg) = 2 x 10³¹ kg

R = 10 km = 10⁴ m

Therefore,

gₓ = (6.67 x 10⁻¹¹ N.m²/kg²)(2 x 10³¹)/(10⁴)²

gₓ = 1.334 x 10¹⁴ m/s²

Hence, comparing it with the free-fall acceleration at Earth's Surface:

gₓ/g = (1.334 x 10¹⁴)/9.8

gₓ = 1.36 x 10¹³ g

The acceleration due to gravity on the surface of this star in terms of the free-fall acceleration at Earth's surface is [tex]1.35 \times 10^5 \ g_E[/tex].

The given parameters:

Mass of the neutron star, m = 1.5 MRadius of the neutron star, R = 10 kmkm

The acceleration due to gravity on the surface of this star in terms of the free-fall acceleration at Earth's surface is calculated as follows;

[tex]F = mg = \frac{GM_sm}{R^2} \\\\(1.5 M_s)g = \frac{GM_s(1.5 M_s)}{R^2} \\\\g = \frac{GM_s}{R^2} \\\\[/tex]

where;

[tex]M_s[/tex] is the mass of the Sun = 1.989 x 10³⁰ kg.

[tex]g = \frac{6.67 \times 10^{-11} \times 1.989 \times 10^{30} }{(10,000,000)^2} \\\\g = 1.326 \times 10^{6} \ m/s^2[/tex]

In terms of gravity of Earth [tex](g_E)[/tex];

[tex]= \frac{1.326 \times 10^6}{9.81} = 1.35 \times 10^5 \\\\= 1.35 \times 10^5 \ g_E[/tex]

Thus, the acceleration due to gravity on the surface of this star in terms of the free-fall acceleration at Earth's surface is [tex]1.35 \times 10^5 \ g_E[/tex].

Learn more about acceleration due to gravity here: https://brainly.com/question/88039

A gas is collected from a radioactive material; upon inspection, the gas is identified as helium. The presence of the helium indicates the radioactive sample is most likely decaying by: A). alpha B). beta+ C). beta- D). gamma

Answers

Answer:

option (a) alpha I have doublt

A transverse sinusoidal wave is traveling rightward along a string stretched along the X-direction. The wavelength is 70.0 cm and 8.00 wave peaks per second pass any fixed point on the string. The maximum speed of the string particles in the direction perpendicular to the string is 3.20 m/s. At time t 0, the element of string at x = 20.0 cm is 4.00 cm above its resting position. (a) Construct two distinct wave functions yfx,t) consistent with the given information. (If the only difference between two wavefunctions is that their phase constants differ by an integer multiple of 2n, then they are not distinct.) (b) Sketch both of these wavefunctions for time t 0 between x 0 and x A har 2 20 /s A= 0.0Ch 560 Ch a)yo) Acos CRxt wt +o) w- 2TF : 50 265 S A Vwa 3 20 5a.2655 =0.0656n 0.7854

Answers

Answer:

1111

1Explanation:

111111

1

The triceps muscle in the back of the upper arm is primarily used to extend the forearm. Suppose this muscle in a professional boxer exerts a force of 1.95 × 103 N with an effective perpendicular lever arm of 3.1 cm, producing an angular acceleration of the forearm of 125 rad/s2. What is the moment of inertia of the boxer's forearm?

Answers

Answer:

I = 0.483 kgm^2

Explanation:

To know what is the moment of inertia I of the boxer's forearm you use the following formula:

[tex]\tau=I\alpha[/tex]  (1)

τ: torque exerted by the forearm

I: moment of inertia

α: angular acceleration = 125 rad/s^2

You calculate the torque by using the information about the force (1.95*10^3 N) and the lever arm (3.1 cm = 0.031m)

[tex]\tau=Fr=(1.95*10^3N)(0.031m)=60.45J[/tex]

Next, you replace this value of τ in the equation (1) and solve for I:

[tex]I=\frac{\tau}{\alpha}=\frac{60.45Kgm^2/s ^2}{125rad/s^2}=0.483 kgm^2[/tex]

hence, the moment of inertia of the forearm is 0.483 kgm^2

A 35 grams bullet travels with a velocity of magnitude 126 km/h. What is the bullet's linear momentum?

Answers

The linear momentum of the bullet, given the data from the question is 1.225 Kg.m/s

What is momentum?

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

With the above formula, we can obtain the momentum of the bullet. Details below.

The following data were obtained from the question:

Mass of bullet = 35 g = 35 / 1000 = 0.035 KgVelocity = 126 Km/h = 126 / 3.6 = 35 m/sMomentum =?

Momentum = mass × velocity

Momentum = 0.035 Kg × 35 m/s

Momentum = 1.225 Kg.m/s

From the calculation made above, we can conclude that the linear momentum of the bullet is 1.225 Kg.m/s

Learn more about momentum:

https://brainly.com/question/250648

#SPJ1

A positively-charged particle is released near the positive plate of a parallel plate capacitor. a. Describe its path after it is released and explain how you know. b. If work is done on the particle after its release, is the work positive or negative

Answers

Answer:

a. The electric field lines are linear and perpendicular to the plates inside a parallel-plate capacitor, and always from positive plate to the negative plate. If a positive charge is released near the positive plate, then it will follow a linear path towards the negative plate under the influence of electrostatic force, F = Eq, where q is the charge of the particle. The electric field inside a parallel plate capacitor is constant and equal to

This can be calculated by Gauss' Law.

A positive charge always follow the electric field lines when released. Another approach is that the positive plate repels the positive charge and negative plate attracts the positive charge. Therefore, the positive charge follows a path towards the negative charge.

b. The particle moves from the higher potential to the lower potential. The direction of motion is the same as the direction of the force that moves the particle, so the work done on the particle by that force is positive.

The animation shows a ball which has been kicked upward at an angle. Run the animation to watch the motion of the ball. Click initialize to set up the animation and start to run it.

Ghosts are left by the ball once per second. The animation can also be paused and moved forward in single frame mode using the step button. The cursor can be used to read the (x,y) coordinates of a position in the grid by holding down the left mouse button. Assume the grid coordinates read out in meters. When entering components, presume that x is positive to the right and y is positive upwards. Note that this ball is NOT being kicked on Earth. Do not expect an acceleration of 9.80 m/s2 downward, though you can presume that gravity is acting straight down. Use this animation to answer the following questions. Note that there are a number of different ways to go about each of the following questions. Your answer needs to be within 5% of the correct answer for credit. Please enter your answer to 3 significant digits.

What is the maximum height which the ball reaches? 42.24 m

What is the horizontal component of the initial velocity of the ball? 5.57 m/s

What is the vertical component of the initial velocity of the ball? 16.18 m/s

What is the vertical component of the acceleration of the ball? _____????

Answers

Answer:

The acceleration of the ball is  [tex]a_y = - 0.3672 \ m/s^2[/tex]

Explanation:

From the question we are told that

       The maximum height the ball reachs is [tex]H_{max} = 42.24 \ m[/tex]

       The horizontal component of the initial velocity of the ball is [tex]v_{ix} = 5.57 \ m/s[/tex]

       The vertical component of the initial velocity of the ball is [tex]v_{iy} = = 16.18 m/s[/tex]

The vertically motion of the ball can be mathematically represented as

       [tex]v_{fy}^2 = v_{iy} ^2 + 2 a_{y} H_{max}[/tex]

Here the final velocity at the maximum height is zero so [tex]v_{fy} = 0 \ m/s[/tex]

Making the acceleration [tex]a_y[/tex] the subject we have

        [tex]a_y = \frac{v_{iy} ^2}{2H_{max}}[/tex]

substituting values

      [tex]a_y = - \frac{5.57^2}{2* 42.24}[/tex]

      [tex]a_y = - 0.3672 \ m/s^2[/tex]

The negative sign shows that the direction of the acceleration is in the negative y-axis

An electric field of 2.09 kV/m and a magnetic field of 0.358 T act on a moving electron to produce no net force. If the fields are perpendicular to each other, what is the electron's speed?

Answers

Answer:

The velocity is  [tex]v = 5838 \ m/s[/tex]

Explanation:

From the question we are told that

   The electric field is [tex]E = 2.09 kV/m = 2.09 *10^{3} \ V/m[/tex]

    The magnetic field is  [tex]B = 0.358 \ T[/tex]

     

Generally the force experienced by the electron due to the magnetic field is

         [tex]F_m = qvB[/tex]

Generally the force experienced by the electron due to the electric  field is

       [tex]F_e = qE[/tex]

Since from the question the net force is zero  then

     [tex]F_e = F_m[/tex]

=>    [tex]v = \frac{E}{B}[/tex]

Substituting values

      [tex]v = \frac{2.09*10^{3}}{0.358 }[/tex]

    [tex]v = 5838 \ m/s[/tex]

     

Consider a system of an 85.0 kg man, his 14.5-kg dog, and the earth. The gravitational potential energy of the system increases by 1.85 103 J when the man climbs a spiral staircase from the first to the second floor of an apartment building. If his dog climbs a normal staircase from the same first floor to the second floor, by how much does the potential energy of the system increase (in J)

Answers

Answer:

Explanation:

Increase in gravitational potential energy = m x g x h

where m is mass , g is gravitational acceleration and h is height

In the first case when man climbs

increase in potential = 85 x g x h = 1.85 x 10³ J

gh = 21.7647

when dog climbs

increase in potential = 14.5 x g x h  J

= 14.5 x 21.7647

= 315.6 J

A horizontal wire is hung from the ceiling of a room by two massless strings. The wire has a length of 0.11 m and a mass of 0.010 kg. A uniform magnetic field of magnitude 0.055 T is directed from the ceiling to the floor. When a current of I = 29 A exists in the wire, the wire swings upward and, at equilibrium, makes an angle φ with respect to the vertical, as the drawing shows. Find (a) the angle and (b) the tension in each of the two strings.

Answers

Answer:

Explanation:

The magnetic force acting horizontally will deflect the wire by angle φ from the vertical

Let T be the tension

T cosφ = mg

Tsinφ = Magnetic force

Tsinφ = BiL  , where B is magnetic field , i is current and L is length of wire

Dividing

Tanφ = BiL / mg

= .055 x 29 x .11 / .010 x 9.8

= 1.79

φ = 61° .

Tension T = mg / cosφ

= .01 x 9.8 / cos61

= .2 N .

This problem concerns the properties of circular orbits for a satellite of mass m orbiting a planet of mass M in an almost circular orbit of radius r. In doing this problem, you are to assume that the planet has an atmosphere that causes a small drag due to air resistance. "Small" means that there is little change during each orbit so that the orbit remains nearly circular, but the radius can change slowly with time. The following questions will ask about the net effects of drag and gravity on the satellite's motion, under the assumption that the satellite's orbit stays nearly circular. Use G if necessary for the universal gravitational constant.

What is the potential energy U of the satellite?Express your answer in terms ofm, M, G, and r.What is the kinetic energy K of the satellite?Express the kinetic energy in termsof m, M, G, and r.

Answers

Answer:

A) U = - GMm/r

B) K = 0.5 mGM/r

Explanation:

A) The potential energy U of the satellite

U = - GMm/r

G = universal gravitational constant which is ( 6.67e-11 Nm^2/c^2 )

M = mass of the planet

m = mass

r = distance ( radius )

B) Kinetic energy

kinetic energy expressed as K = 0.5 m Vo^2

NOTE : Vo^2 = GM / r

hence kinetic energy will be expressed as

K = 0.5 mGM/r

Two resistors, A and B, are connected in parallel across a 8.0 V battery. The current through B is found to be 3.0 A. When the two resistors are connected in series to the 8.0 V battery, a voltmeter connected across resistor A measures a voltage of 2.4 V. Find the resistances A and B.

Answers

Answer:

R_A = 2.67 ohms

R_B = 1.14 ohms

Explanation:

When the resistors are connected in parallel, the voltage will be the same across both resistors A and B.

Thus, we now have the current and the voltage across B and so we can use Ohm's Law to find the resistance.

V/I = R

Thus, resistance of B; R_B = 8/3

R_B = 2.67 ohms

Now, when the resistors are connected in series, the voltage drop across B is;

V = 8V - 2.4V = 5.6V

Since we now have the resistance of B , we can find the current using Ohm's Law. Thus;

I = V/R

I = 5.6/2.67

I = 2.1 A

Now, current is the same for all resistances in a series circuit because this is the same current through resistors A and B. So, we can use Ohm's law again to find the resistance across A.

So, R = V/I

R_A = 2.4/2.1

R_A = 1.14 ohms

An AC voltage is applied to a purely capacitive circuit. Just as the applied voltage is crossing the zero axis going negative, what is the value of capacitor current? Ic is at its positive peak Ic is zero Ic is at its negative peak

Answers

Answer:

The Ic will be zero.

Explanation:

Capacitors have a working principal as follows:

As the current flows through the circuit, they store the electrical energy according to certain attributes they have such as the area of the plates and the material's capacitence in between the plates.

An AC voltage increases and decreases between certain maximum and minimum points periodically. So while the AC voltage is on the positive side, the capacitor charges up and when the AC voltage crosses to the negative side, the capacitor takes over and it's current starts increasing as the current coming from the AC source decreases.

So in this case, as the AC voltage crosses zero, the capacitor current was decreasing because the AC voltage was on the positive side and it was charging. The capacitor current will be zero as well and it will start to increase when AC voltage is on the negative.

I hope this answer helps.

A spring stretches by 0.0190 m when a 3.36-kg object is suspended from its end. How much mass should be attached to this spring so that its frequency of vibration is f = 3.0 Hz?

Answers

Answer:

m = 4.87 kg

Explanation:

In order to find the required mass you first calculate the spring constant of the spring. When the system reaches the equilibrium you obtain the following equation:

[tex]Mg=kx[/tex]      (1)

That is, the weight of the object is equal to the restoring force of the spring.

M: mass of the object = 3.36 kg

g: gravitational constant = 9.8m/s^2

k: spring constant = ?

x: elongation of the spring = 0.0190m

You solve the equation (1) for k:

[tex]k=\frac{Mg}{x}=\frac{(3.36kg)(9.8m/s^2)}{0.0190m}=1733.05\frac{N}{m}[/tex]

Next, to obtain a frequency of 3.0Hz you can use the following formula, in order to calculate the required mass:

[tex]f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}[/tex]     (2)

You solve the equation (2) for m:

[tex]m=\frac{1}{4\pi^2}\frac{k}{f^2}\\\\m=\frac{1}{4\pi^2}\frac{1733.05N/m}{(3.0Hz)^2}=4.87kg[/tex]

The required mass to obtain a frequency of 3.0Hz is 4.87 kg

Consider five charged particles: A,B,C,D,and E.
(A attracts B),(C attracts D ), (B repels C), and (D repels E). If C is Positive,what is the charge of the other particles?

Answers

Answer:

A_negative

B_positive

C_positive

D_positive

E_negative

Explanation:

according to the law of electrostatic which is

like charge repels and unlike charge attract.

Answer:A=negative, B=positive, C=positive, D=negative, E=negative

Explanation:

Like poles or charges repels and unlike poles or charges attract each other

Two identical metal balls of radii 2.50
cm are at a center to center distance of
1.00 m from each other. Each ball is
charged so that a point at the surface of
the first ball has an electric potential of
+1.20 x 103 V and a point at the surface
of the other ball has an electric
potential of -1.20 x 103 V. What is the total charge on each ball?

Answers

Answer:

+1.33 × [tex]10^{-7}[/tex] C and -1.33 × [tex]10^{-7}[/tex] C respectively.

Explanation:

Electric potential (V) is the work done in moving a unit positive charge from infinity to a reference point within an electric field. It is measured in volts.

     V = [tex]\frac{kq}{r}[/tex] ............. 1

where: k is a constant = 9 × [tex]10^{9}[/tex] N[tex]m^{2} C^{-2}[/tex], q is the charge and r is the distance between the charges.

From equation 1,

   q = [tex]\frac{Vr}{k}[/tex] ............... 2

The charge on each ball can be determined as;

given that; V = 1.2 × [tex]10^{3}[/tex], k = 9 × [tex]10^{9}[/tex] N[tex]m^{2} C^{-2}[/tex] and r = 1.00 m.

From equation 2,

  q = [tex]\frac{1.2*10^{3} * 1.0}{9*10^{9} }[/tex]

     = 1.33 × [tex]10^{-7}[/tex] C

Thus, the charge on the first ball is +1.33 × [tex]10^{-7}[/tex] C, while the charge on the second ball is -1.33 × [tex]10^{-7}[/tex] C.

Select the correct answer. mega M 10 6 1,000,000 kilo k 103 1,000 hecto h 102 100 deka da 10 1 10 deci d 10–1 0.1 centi c 10–2 0.01 milli m 10–3 0.001 micro µ 10–6 0.000001 nano n 10–9 0.000000001 pico p 10–12 0.000000000001 One nanometer is equal to how many centimeters? A. 109 mm B. 10–6 cm C. 10–7 cm D. 10–9 mm

Answers

Answer:

C. 10⁻⁷ cm

Explanation:

One nanometer = 10⁻⁹ meter

1 meter = 10² cm

one nanometer = 10⁻⁹ x 10² cm

= 10⁻⁹⁺² cm

= 10⁻⁷ cm .

Answer:

The answer is C

Explanation:

I got it right on my quiz

A certain radio wave has a wavelength of 6.0 × 10-2m. What is its frequency in hertz?

Answers

Answer:

The frequency of the wave is 5 x 10⁹ Hz

Explanation:

Given;

wavelength of the radio wave, λ = 6.0 × 10⁻²m

radio wave is an example of electromagnetic wave, and electromagnetic waves travel with speed of light, which is equal to 3 x 10 m/s².

Applying wave equation;

V = F λ

where;

V is the speed of the wave

F is the frequency of the wave

λ  is the wavelength

Make F the subject of the formula

F = V /  λ

F = (3 x 10⁸) / (6.0 × 10⁻²)

F = 5 x 10⁹ Hz

Therefore, the frequency of the wave is 5 x 10⁹ Hz

Which action is due to field forces?
A. an apple falling from a tree
B. a moving car stopping when the brakes are applied
C. the rowing of a boat
D. pushing a chair against the wall

Answers

Answer:

a

an apple falling from a tree

Answer an apple falling from a tree

Explanation:

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