a sample contains 100 g of radioactive isotope. How much radioactive isotope will remain in the sample after 1 half-life?

Mira is much bigger than the Sun.

Only very massive stars will go through a supernova stage, causing the outer layer to explode away and the core to collapse in on itself, becoming very dense.

Answer:

Correct option is A)

Weight on earth = 600N

Let g= 10m/s2 on earth

Mass on earth = 10600=60 kg

Now, since mass is a constant quantity so, it will remain 60 kg on the moon also.

Now, weight on moon = mg′

m= mass =60 kg

g′ = acc. due to gravity on moon = 61th the value on earth

So, Weight on moon = 61th of the weight on earth 

⇒ Weight on the moon =600×61=100 N

The quantity of heat required to raise the temperature of the water is approximately 35,500 J.

The quantity of heat required to raise the temperature of the water is calculated as follows;

H = mcΔθ

H = 100 x 4.18 x 85

H = 35,530 J

Thus, the quantity of heat required to raise the temperature of the water is approximately 35,500 J.

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The cut off frequency of the magnesium atom is obtained as 8.9 * x 10^18 Hz.

The cut off frequency is the lowest frequency of the incident ray at which photoelectric effect occurs.

Given that;

1 eV  gives 1.60 x 10-19 J

3.70 eV  gives 3.70 eV * 1.60 x 10-19 J/1 eV

= 5.92x 10^-19 J

Now;

Wo = hfo

fo = Wo/h

fo = 5.92x 10^-19 J/6.6 * 10^-34

fo = 8.9 * x 10^18 Hz

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The magnitude of the magnetic dipole moment of the bar magnet is 1.2 Am²

The magnitude of the magnetic dipole moment of the bar magnet at distance from its axis is calculated as follows;

[tex]B = \frac{2\mu_0m}{4\pi r^3} \\\\m = \frac{4\pi r^3 B}{2\mu_0}[/tex]

where;

m = (4π x 0.1³ x 2.4 x 10⁻⁴)/(2 x 4π x 10⁻⁷)

m = 1.2 Am²

The complete question is below:

What is the magnitude of the magnetic dipole moment of the bar magnet from 0.1 m of its axis and magnetic field strength of 2.4 x 10⁻⁴ T.

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Red dwarf stars evolve very differently than other stars as they age because their interiors are well mixed, through strong convection.

Red dwarf stars are the smallest and coolest kind of stars on the main sequence.

Red dwarf stars (stars between 0.08 and 0.5 solar masses) evolve very differently than other stars as they age because their interiors are well mixed, through strong convection.

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The time period resulting in oscillations will be 1.986 seconds.

The period is the amount of time it takes for a particle to perform one full oscillation. T is the symbol for it. Taking the reciprocal of the frequency yields the frequency of the oscillation.

The time period of the oscillation is;

[tex]\rm T = 2 \pi\sqrt{\frac{L}{g}} \\\\ \rm T = 2 \times 3.14 \times \sqrt{ \frac{98.2 \ \times 10^{-2} \ m}{9.81 \ m/s^2}} \\\\ T= 1.986 \ sec[/tex]

Hence the time period resulting oscillations will be 1.986 seconds.

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Answer: See below

Explanation:

a) Using Newton's 2nd Law, rearranging and solving for acceleration

[tex]a &= \frac{F}{m}\\ &= \frac{25\ \text{N}}{0.5\ \text{kg}}\\ &= \boxed{50\ \text{m/s}^2}[/tex]

b) Using the acceleration 50 m/s^2 and the initial velocity v = 0 (since the object starts from rest), the final velocity at t = 20, v can be determined using a suitable equation as follows:

[tex]v &= u+ at\\ &= 0+ 50\ \text{m/s}^2(20\ \text{s})\\ &= \boxed{100\ \text{m/s}}[/tex]

c) To determine the distance s traveled in the 20 seconds, we'll use a suitable equation:

[tex]s &= ut+\frac{1}{2}at^2\\ &= 0+\frac{1}{2}(50 \text{m/s}^2)(20\ \text{s})^2\\ &= \boxed{10\ 000\ \text{m}}[/tex]

Answer:

C

Explanation:

velocity is a vector unit, meaning it isn't scalar so also gives direction, same as distance vs. displacement.

The vector B will have two components and those components will be called resultant vectors.

A component vector is a unit vector that represents a given vector in a particular direction.

A vector can be represented in x - direction and y - direction.

Thus, the vector B will have two components and those components will be called resultant vectors.

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Answer:

B.1/2v1 that's the answer

Answer:

B. Use oxygen to convert a fuel to heat and light energy.

What is combustion?

Combustion is a chemical process in which a substance reacts rapidly with oxygen and gives off heat. The original substance is called the fuel, and the source of oxygen is called the oxidizer.

The fuel can be a solid, liquid, or gas, although for airplane propulsion the fuel is usually a liquid.

For example, charcoal is combining with oxygen.

Combustion is commonly called burning, and the substance that burns is usually referred to as fuel.

To summarize,

For combustion to occur three things must be present:

As a result of combustion, exhausts are created and heat is released. You can control or stop the combustion process by controlling the amount of the fuel available, the amount of oxygen available, or the source of heat.

Therefore,

Combustion is when you use oxygen to convert a fuel to heat and light energy.

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Adlerian therapy is a method in which a therapist collaborates with a client to pinpoint challenges and develop successful solutions for achieving their objectives.

Key Takeaways: Adlerian Therapy

Individual therapy, often known as Adlerian therapy, places an emphasis on the patient's capacity to effect good change in his or her own life.

Adlerian therapy consists of four stages: engagement, assessment, insight, and reorientation.

In Adler’s theory, individuals work to overcome feelings of inferiority and to act in ways that benefit the social interest.

Four Stages of Adlerian Therapy :

Engagement

Assessment

Insight

Reorientation

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The centripetal acceleration of the tip of the fan blade is 96.23 m/s²

The acceleration developed when a body is moving in circular way, directed towards the center of the circular path.

The tip of a fan blade is 0.61 m from the center of the fan. the fan turns at a constant speed and completes 2 rotations every 1.0 s

ac = ω²r

where ω = angular speed = 2πN/60, N = Rotation per minute

From the question, N = 2 x 60/1 = 120  RPM

So, the angular speed will be

ω = 2π x 120 /60

ω  = 12.56 rad/s

Then, the centripetal acceleration is

ac =  (12.56)² x   0.61 m

ac = 96.23 m/s²

Thus, centripetal acceleration of the tip of the fan blade is 96.23 m/s²

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4. The X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of waves is a False.

5. The amplitude of water waves as you get farther from the disturbance that caused them decreases.

The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is packet of energy that travels and spreads out. It has radio waves, infrared waves, visible light waves, ultraviolet rays and microwaves.

They possess high energy even to penetrate deep within the material. The electromagnetic spectrum has longer wavelength and less frequency.

4. The Earth's environment is thick an adequate number of that for all intents and purposes no X-beams can come through from space the entire way to the Earth's surface. This is great as far as we're concerned yet in addition terrible for stargazing. We need to put X-beam telescopes and identifiers on satellites.

Thus, X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of wave is a False statement.

5. The amplitude of the wave decreases as the time period increases. But when we get far from the disturbance, the amplitude increases.

Thus, the amplitude of water wave increases as we get farther from the disturbance.

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19.8 N force is tending to lift Rover vertically off the ground.

The horizontal velocity component ([tex]v_{x}[/tex]) describes the influence of the velocity in displacing the projectile horizontally. The vertical velocity component ([tex]v_{y}[/tex]) describes the influence of the velocity in displacing the projectile vertically.

According to the question,

The women pulls the dog with a force of 30 N at an angle of  29° from the horizontal.

Horizontal component=  30cos(29°) = 22.2 N

Vertical component = 30sin(29°) = 19.8 N

Therefore,

The horizontal component would tend to make the dog move forward and the vertical component would tend lift it off the ground.

Hence,

19.8 N force is tending to lift Rover vertically off the ground.

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243 rad is the angle through which the wheel turns during this time.

Torque is a measure of the force that can cause an object to rotate about an axis.

Angular speed is define as  the measuring angle of rotation over a given amount of time.

Mathematically , ω = θ t

From the given question ,

Torque = 19.8 rad/s

ω = 23.5 rad/s

t = 11.2 s

We get the equation,

[tex]\frac{ 19.8 +23.5}{2} * 11.2[/tex]

= 243 rad

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Answer:

A) only the wall is involved for both forces (action-reaction)

Answer:

a. Displacement=30²+5²=925= 30.4m

b. Total distance=30m+5m=35m

c. V=s/t. = 30.4/45=0.6m/s

The combined mass the quarters, given that the modern and old quarters has masses of 5.623 g and 6.24 g respectively is 11.863 g

The combine mass of the quarter can be obtained by simply adding the masses of the individual quarters together. This is illustrated below:

Combine mass = mass of modern + mass of old

Combine mass = 5.623 + 6.24

Combine mass = 11.863 g

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a)  p₀ = 1.2 kg m / s

b) p_f = 1.2 kg m / s  

c)    [tex]v_{2f}[/tex] = 1.278 m/s

d)1.2482 =[tex]v_{2f}[/tex] cos θ

e)  0.2736 =[tex]v_{2f}[/tex]sin θ

g) θ = 12.36

Momentum is the product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

According to the question,

We define a system formed by the two balls, which are isolated and the forces during the collision are internal.

Hence , the momentum is conserved

a) The momentum of the system before the collision:

[tex]p_o = m v_1_0 + 0 p_o= 0.6 2 p_o = 1.2 kg m / s[/tex]

b) The momentum of the system after the collision, as the system is isolated, the momentum is conserved so

[tex]p_f = 1.2 kg m / s[/tex]

d. On X axis

[tex]p_ox[/tex] = 1.2 kg m / s

[tex]p_{fx}[/tex]= m v1f cos 20 + m v2f cos θ

[tex]p_o = p_f[/tex]

1.2 = 0.6 (-0.8) cos 20+ 0.6[tex]v_{2f}[/tex] cos θ

1.2482 =[tex]v_{2f}[/tex] cos θ

e. On Y axis  

[tex]p_{oy} = 0[/tex]

[tex]p_{fy}[/tex]= m[tex]v_{1f}[/tex]sin 20 + m[tex]v_{2f}[/tex]cos θ

0 = 0.6 (-0.8) sin 20 + 0.6 [tex]v_{2f}[/tex] sin θ

0.2736 =[tex]v_{2f}[/tex]sin θ

Here,

g. we write our system of equations

0.2736 =[tex]v_{2f}[/tex] sin θ

1.2482 = [tex]v_{2f}[/tex] cos θ

0.219 = tan θ (divide)

θ = tan⁻¹ 0.21919

θ = 12.36

c. Now To find the velocity

0.2736 = [tex]v_{2f}[/tex] sin θ

[tex]v_{2f}[/tex]= 0.2736 / sin 12.36

[tex]v_{2f}[/tex] = 1.278 m / s

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Answer:current

Explanation:water flows down a river. Current flows down a wire (in the drude model, at least)

Answer:

electricity

Explanation:

Answer:

accuracy

Explanation:

You are trying to measure the mass of several different objects when you realize that there is a large wad of gum stuck to the underside of the balance pan. Removing the gum will improve the accuracy of your measurements.

Human response times are eliminated from time measurement using light gates. if the stopwatch is damaged, the data logger terminates it.

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while u for the final speed. its si unit is m/sec.

To measure the speed of a toy automobile, it is preferable to utilize light gates and a computer as opposed to a stopwatch and a ruler.

Because Light gates eliminate the effects of human reaction delays for measuring time. is damaged,

The stopwatch is stopped by the data logger. With no reaction time, the uncertainty is substantially reduced.

The average speed may be determined by measuring the distance between the two light gates.

Hence, it is better to use light gates and a computer than to use a stopwatch and a ruler to measure the speed of a toy car.

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At any crime scene, the two greatest challenges to the physical evidence are contamination and loss of continuity.

In evidence law, physical evidence (also called real evidence or material evidence) is any material object that plays some role in the matter that gave rise to the litigation, introduced as evidence in a judicial proceeding (such as a trial) to prove a fact in issue based on the object's physical characteristics.

The two types of evidence at crime scenes:

Biological evidence (e.g., blood, body fluids, hair and other tissues)

Latent print evidence (e.g., fingerprints, palm prints, footprints)

The biggest impediment to an investigation is the removal or loss of a piece of evidence from the scene of a crime.

Hence, at any crime scene, the two greatest challenges to the physical evidence are contamination and loss of continuity.

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The cliff diver jumps off with a velocity of 7.85m/s at an angle of 86° with respect to the ground.

The height of the cliff = 57m

The horizontal distance from the cliff = 2.15m

The time is taken = 4.3s

The acceleration due to gravity g = 9.81m/s²

Consider the vertical y-axis

                    d = ut +1/2gt²

                   57 = u (4.3) + 1/2 (9.81) (4.3)²

                   57 = 4.3u + 90.69

                    u = -7.836m/s

The y component of initial velocity is in the upwards direction

Consider the horizontal x-axis

                    d = ut

                    2.15 = u (4.3)

                    u = 0.5 m/s

The net velocity is the square root of the summation of the squares of the x and y components of velocity

Net velocity = 7.85m/s

For the direction, tan θ = y/x = 15.67

θ= 86°

So the cliff diver jumps off with a velocity of 7.85m/s at an angle of 86° with respect to the ground.

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b. The wavelength of light emitted by the object is 233 nm

c. The type of radiation originally emitted by the object is ultraviolet radiation.

To find the wavelength, we need to know what redshift is.

Redshift is the increase in wavelength and the corresponding decrease of frequency and photon energy of electromagnetic radiation.

Redshift is given by z = λ'/λ - 1 where

Making λ subject of the formula, we have

λ = λ'/(1 + z)

Given that has a redshift of 7.6 and the JWST observes the object at a wavelength of 2 micrometres (mid-infrared light).

So,

Substituting the values of the variables into the equation, we have

λ = λ'/(1 + z)

λ = 2μm/(1 + 7.6)

λ = 2μm/8.6

λ = 0.233 μm

λ = 233 nm

So, the wavelength of light emitted by the object is 233 nm

Since the wavelength is 233 nm and the wavelength is in the range of ultraviolet radiation 200 nm - 315 nm.

So, the type of radiation originally emitted by the object is ultraviolet radiation.

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The upthrust experienced by the cube of metal is determined as 7.84 N.

The upthrust experienced by the body is calculated as follows;

Fu = ρVg

where;

S.G = density of the body / density of water

density of the body = S.G x density of water

ρ = 0.8 x 1000 kg/m³

ρ = 800 kg/m³

V = L³

V = (0.1)³

V = 0.001 m³

Upthrust = ρVg

Upthrust = 800 x 0.001 x 9.8

Upthrust = 7.84 N

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In the gaseous state,  particles transfer significant amounts of energy by both conduction and convection.

The term convection refers to a pattern of heat transfer in which there is the movement of a significant amount of matter. In convection, the particles of a fluid are moved from one point to another.

Thus, in the gaseous state,  particles transfer significant amounts of energy by both conduction and convection.

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