Calculate how many half-lives are required for a number of radio-active nuclei to decrease to one-millionth of
the initial number.

The force required to punch a hole 1 cm in diameter in a steel sheet is 0.176 x 10¹³ N.

The force is defined as the shear stress or pressure applied per unit area.

F = P/A

Given is a steel sheet whose thickness t = 5mm = 5x 10⁻³ m, shearing strength P = 2.76 × 10⁸ N/m², diameter of hole d = 1cm = 1x 10⁻² m

The area to be punched A = πd xt

A = π x 1x 10⁻² x5x 10⁻³

A = 15.7 x 10⁻⁵ m²

The force required to punch a hole is

F = 2.76 × 10⁸ /  15.7 x 10⁻⁵

F = 0.176 x 10¹³ N.

Thus, the punching force is  0.176 x 10¹³ N.

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The minimum force required to lift the box at constant velocity is determined as 274.4 N.

The minimum force required to lift the box at constant velocity is the tension in one of the pulleys, and the magnitude is calculated as follows;

2T = mg

where;

2T = mg

T = mg/2

T = (56 x 9.8)/2

T = 274.4 N

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Hi there! :)

We can begin by doing a summation of forces on the ball. In the horizontal direction, we have the force of tension:
[tex]F_{Net} = T[/tex]

The tension force results in a centripetal force experienced by the ball. The equation of centripetal force is equivalent to:
[tex]F_C = m\omega^2 r[/tex]

[tex]F_C[/tex] = Centripetal force (N)
m = mass of ball (0.22 kg)

ω = angular speed of ball(? rad/sec, must convert rpm to rad/sec)

r = radius/length of string (1.0 m)

We must begin by converting rpm to rad/sec:

[tex]\frac{50 rev}{min} * \frac{2\pi rad}{1 rev}* \frac{1 min}{60 sec} = 5.236 \frac{rad}{s}[/tex]

Now, we can set tension equal to the centripetal force and solve. [tex]T = F_{Net} = F_C\\\\T = m\omega^2 r\\\\T = (0.22)(5.236^2)(1) = \boxed{6.031 N}[/tex]

Answer:

B

Explanation:

Electric charges and magnetic dipoles

Answer:

The (latent) heat of vaporization (∆Hvap) also known as the enthalpy of vaporization or evaporation, is the amount of energy (enthalpy) that must be added to a liquid substance, to transform a given quantity of the substance into a gas.

The enthalpy of vaporization is a function of the pressure at which that transformation takes place. The heat of vaporization diminishes with increasing temperature and it vanishes completely at a certain point called the critical temperature (Critical temperature for water: 373.946 °C  or 705.103 °F,  Critical pressure: 220.6 bar = 22.06 MPa  = 3200 psi ).

Answer:

Recycling of paper cannot be reversed thus making it an irreversible change

Explanation:

When we recycle paper an entirely new product can be made which cannot be changed back to paper

Answer:

300 J

Explanation:

Given :

Work done by the force :

Note :

The angular velocity of the stepped cylinder is determined as 2.35 rad/s.

The centripetal acceleration of the cylinder is calculated as follows;

F = ma

a = F/m

a = 40/ 36

a = 1.11 m/s²

a = v²/r

v² = ar

v² = 1.11 x 0.2

v² = 0.222

v = 0.47 m/s

v = ωr

ω = v/r

ω = 0.47/0.2

ω = 2.35 rad/s

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Answer:

6.6 m

Explanation:

.6 m/s   *  11 s  = 6.6 m    ( see how the 's' cancels out and you are left with 'm'  as the answer ?)

(a) The amount of work required to change the rotational rate is 0.0112 J.

(b) The decrease in the rotational inertia when the outermost particle is removed is 64.29%.

The moment of inertia of the rod from the axis of rotation is calculated as follows;

I = md² + m(2d)² + m(3d)²

where;

d = 6/3 = 2 cm = 0.02 m

I = md²(1 + 2² + 3²)

I = 14md²

I = 14(0.01)(0.02)²

I = 5.6 x 10⁻⁵ kg/m³

K.E = ¹/₂Iω²

K.E = ¹/₂(5.6 x 10⁻⁵)(60 - 40)²

K.E = ¹/₂(5.6 x 10⁻⁵)(20)²

K.E = 0.0112 J

I₂ = md² + m(2d)²

I₂ = 5md²

ΔI = 14md² - 5md²

ΔI = 9md²

η = (ΔI/I) x 100%

η = (9md²/14md²) x 100%

η = 64.29 %

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Iron forms an oxide when exposed to air is a true property about this element.

This is an element which has magnetic properties and forms an oxide when exposed to air.

Iron forms ferric oxide in the presence of oxygen which is the brown like color seen in the form of rust.

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Answer:

6 m/s

Explanation:

Average velocity = Total distance covered / Time taken to cover distance

Finding Average Velocity :

⇒ 20 m + 40 m / 2 s + 8 s

⇒ 60 m / 10 s

⇒ 6 m/s

a body covers a distance of 20 m in 2 second and then covers 40 metre in next it s8 on a straight line calculate its velocity.

So the Average velocity is 6m/s²

ANSWER:

C = carbon

Al = aluminium

H = hydrogen

O = oxygen

Na = sodium

I hope it helps u dear (^^)

The power output of the cells is 6 watts and the resistance inside the phone is 6 Ohms.

Power Output can be defined as the average rate of electric energy delivery in a circuit.

The S.I unit of power is Watts (W)

Resistance can be defined as the opposition to the flow of electric current caused by a substance.

The S.I unit of resistance is Ohm, denoted with the symbol (Ω)

Using the formula given;

Power output, P = VI

where V = voltage = 0.5 × 12 V = 6V

I = current = 1 A

Power output = 6 × 1 = 6 Watts

Resistance = V ÷ I = 6 ÷ 1 = 6 Ohms

Therefore, the power output of the cells is 6 watts and the resistance inside the phone is 6 Ohms.

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The number of kilowatts used by an individual to operate his appliances is determined as 12.1 kWh.

The average daily power consumption is the amount of electric energy consumed by an individual on a daily rate.

The average daily power consumption of individuals in USA is 12,100 W-hr.

E = 12,100 Whr/1000

E = 12.1 kWh

Thus, the number of kilowatts used by an individual to operate his appliances is determined as 12.1 kWh.

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The force on one of the wires is determined as 1.76 x 10⁻⁴ N/m.

The force between the two parallel wire is calculated as follows;

F = μI²L/2πr

where;

F = (4π x 10⁻⁷ x 6.5² x 1.5)/(2π x 0.048)

F = 2.64 x 10⁻⁴ N

F/L =  2.64 x 10⁻⁴ N / 1.5

F/L = 1.76 x 10⁻⁴ N/m

Thus, the force on one of the wires is determined as 1.76 x 10⁻⁴ N/m.

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The amount of energy needed to boil away the water at the initial temperature  is 301,248 J.

The amount of energy needed to boil the water at the given is calculated as follows;

Q = mcΔθ

where;

density of water = 1000 g/L

mass = density x volume

mass of water = 1000 g/L x 1.6 L = 1,600 g

Q = 1600 g x 4.184 J/g⁰C x (100⁰C - 55 ⁰C)

Q = 301,248 J

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This feather weighs heavier on earth than on Mars hence it is better that the feather falls on you in Mars than on earth.

The term weight refers to the effect of the gravitational pull on an object. The acceleration due to gravity on earth is about 9.8m/s^2. The weight of this feather on earth is about 4.80 Kg *  9.8m/s^2 = 47 N

On the planet Mars, the weight is;

4.80 Kg * (0.38 * 9.8m/s^2) = 18 N

This feather weighs heavier on earth than on Mars hence it is better that the feather falls on you in Mars than on earth.

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Option A and D are the right answer for the successful design of ineffective high altitude drone.

''Will it become more popular than the last drone design?'' and ''Will it cost more than the last drone design?'' are the two questions that can be used to identify criteria for the successful design of ineffective high altitude drone because popularity and cost are the two factors which plays greater role in the success of a design.

So we can conclude that option A and D are the right answer for the successful design of ineffective high altitude drone.

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Answer:

D. from a separate pool than is the control group.

Explanation:

in the picture the person answers is backwards but...

hope this helps have a nice day

The current flowing through the lamp is  1.833A

The current is the stream of charges which flow inside the conductors when connected across the end of voltage.

From the Ohm's law, V =IR

Here, R is the proportionality constant called resistance of the resistor

A lamp with a resistance of 60 Ohms is plugged into a 110-Volt household circuit.

I = V/R

Put the values, we get

I = 110/60

I = 1.833A

Thus, the current flowing through the lamp is  1.833A

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Answer:

179 m

Explanation:

Given:

v₀ = 96.0 km/h × (1000 m/km) × (1 h / 3600 s) = 26.67 m/s

a = 0 m/s²

t = 6.7 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (26.67 m/s) (6.7 s) + ½ (0 m/s²) (6.7 s)²

Δx = 179 m

Answer:

It is showing the wavelength.

Explanation: Hope it helps you:)))

have a good day

Explanation:

We know that,

Magnitude of a unit vector is 1.

and, magnitude of a vector in the form [tex] \sf a \hat{i}+b \hat{j} + c \hat{k} [/tex]

is [tex] \sf \sqrt{a^2+b^2+c^2 } [/tex]

The given vector is,

[tex]\sf \vec{A}= 0.3 \hat{i} + 0.4 \hat{j} + B \hat{k}[/tex]

Magnitude of the given vector is,

[tex]\sf | \vec{A}|= \sqrt{(0.3)^2+(0.4)^2+B^2} =1[/tex]

[tex]\sf \sqrt{0.09+0.16+B^2}=1[/tex]

[tex]\sf 0.25+B^2=1[/tex]

[tex]\sf B^2=1-0.25=0.75[/tex]

[tex]\sf B = \sqrt{0.75} ≈ 0.87[/tex]

Answer:

A person with impairment of organs of equilibrium would compensate for their lack of sensory information by their eyes therefore if their eyes are closed they aren't able to sense their location in space accurately (Proprioception)

Explanation:

Answer:

The separation of visible light into its different colors is known as dispersion. It was mentioned in the Light and Color unit that each color is characteristic of a distinct wave frequency; and different frequencies of light waves will bend varying amounts upon passage through a prism

Explanation:

Answer:

Light waves are electromagnetic waves while sound waves are mechanical waves. :)