A child boards a bus for summer camp. His mom is waiting next to the bus. The bus begins
moving 3 m/s east with respect to the ground. The child is walking 0.5 m/s west towards the back
of the bus with respect to the bus. The mother begins running 1 m/s east with respect to the
ground, chasing after the bus and thoroughly humiliating her child. What is the child's velocity

a) relative to the ground?

b) relative to the mother?

Tamara is playing a game of billiards. The white cue ball has a mass of 0.17 kg and all the other balls have a mass of 0.16 kg. The cue ball is moving at a velocity of 6 m/s when it collides with the number seven ball. If the cue ball comes to a complete stop after the collision, then the resulting velocity of the number seven ball  will be 6.375 m/s

The law of conservation of momentum states that, within some problem domain, the amount of momentum remains constant; momentum is neither created nor destroyed, but only changed through the action of forces as described by Newton's laws of motion.

using law of conservation of momentum

initial momentum of the system  = final momentum of the system

m1u1 + m2u2 = m1v1 + m2v2                          equation 1

m1 = mass of cue ball

u1 = initial velocity of cue ball

m2 = mass of number seven ball

u2 = initial velocity of number seven ball

v1 =  final velocity of cue ball

v2 =  final velocity of number seven ball

substituting in equation 1

(0.17 * 6) + ( 0.16 * 0 ) = (0.17 * 0) + ( 0.16 *  v2)

v2 = 6.375 m/s

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Answer:

A. Larger than that of any individual resistor

Explanation:

When resistors are put in series, the overall resistance is equal to the sum of all the resistances. So, the overall resistance will be larger than that of any individual resistor.

Laser light passing through two small slits produces a bright fringe centered at the midpoint on a distant screen because the light waves travel the same distance from each slit to the midpoint.

Because it is composed of magnetic and electric fields, light frequently exhibits wave behavior and is thus categorized as such an electromagnetic wave. Magnetic fields are perpendicular to each other and fluctuate perpendicular to the wave propagation direction. These are referred to as transverse waves as a result.

Photons are discrete energy packets that make up light. Photons move at the speed of light, possess momentum, and lack mass. Light possesses both wave-like and particle-like properties.

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Aluminum has the following electron configuration: 1s2, 2s2, 2p6, 3s2, and 3p1.

According to the information supplied, aluminum has an atomic number of 13. That makes it abundantly evident that the nucleus of any atom that is an isotope of aluminum will contain 13 protons. The proton number will be equal to the number of electrons surrounding the nucleus. There will be 13 electrons as a result.

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When 1 kg of water and 1 kg of wood absorb the same amount of heat, the change in the temperature of the water is less than the change in temperature of the wood because the intermolecular forces in water are greater than those in wood.

Intermolecular forces are the forces of attraction that exist between the molecules of the same substance.

Intermolecular forces help to keep the molecules of a substance.

The stronger the intermolecular forces between molecules of a substance, the more heat energy it will require to separate the molecules of the substance.

The molecules of water have in addition to the covalent bond between the atoms of hydrogen, hydrogen bonds that exists between its molecules.

These intermolecular forces present in water are responsible for the high heat capacity of water.

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Unless a light ray comes into contact with a surface or enters a different material, it travels in a​ straight line.

When light enters a medium with a different speed or transitions from a fast to a slow medium, refraction occurs. According to Snell's law, if a light ray is incident ordinarily on the surfaces, then deviating from the normal will always lengthen the travel time.

Theoretically, sine (angle of incidence)*index of refraction of the incident media = sine (angle of refraction)*index of refraction of the refractive medium

Sine (0)=0 because the angle of incidence is 0 degrees.

As a result, the light ray will travel straight.

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x2 = 4cm.

20N stretches the same spring 4cm.

The force exerted on the spring, F1 = 10N

In the spring, 1st stretch, x1 = 2cm

The force exerted on the spring, F2 = 20N

In the spring, 2ns stretch, x2 = ?

We have to find x2,

The spring constant value for the same spring must be the same. Hooke's law expresses the relationship between force and spring constant as follows:

F=kx.

F1/x1 = F2/x2

By substituting values,

10 / 2 = 20 / x2

x2 = 40/10

x2 = 4cm

As a result, the 20 N force stretches by 4 cm.

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Answer: The correct option is D radiation pressure.

Explanation: When gravitational force tries to collapse the star in itself, the radiation pressure coming from the gamma rays creates a force in the outward direction. This outward force hence creates equilibrium and as a result, the star remains in a stable condition.

The radiation pressure is due to the gamma rays. These rays are produced through the fusion reaction, taking place in the core of the star.

Hypothetically considering, if this radiation pressure is not present the star will eventually collapse due to its own gravity. This phenomenon is termed Gravitational Collapse.

The time taken by the projectile to hit the floor is 0.55 s.

The projectile motion refers to the motion of an object or particle that is launched into a gravitational field, such as from the surface of the Earth, and travels along a curved path while only being influenced by gravity. A body is considered to be in projectile motion if it moves both vertically and horizontally (trajectory) from the point of flight to the point of landing.

This indicates that the projectile is initially thrown at a height of 1.5 meters and a speed of 80.0 meters per second.

Since the bullet is launched horizontally, the initial vertical velocity component is zero. Just figure out how long it takes something to fall 1.5 meters from a seated position. The 80 m/s is only important if you want to know where it will land on the ground. It has no bearing on the situation. We might be led to the fundamental Newtonian equation:

hf = v₀t + (a/2)t² + h₀

Here, h stands for height, v for speed, and a for acceleration. It might be difficult to resolve this for t in some circumstances, however since

v₀ = 0, this one is easy.

0 = (-9.8/2)t² + 1.5

-1.5 = -4.9t²

-1.5/-4.9 = t²

0.55 s = t

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The velocity of the car is 46.48 m/s.

What is velocity?

velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.

Sol- The linear momentum of a body is defined as the product of its mass and its velocity, given by-

P = mv

According to the question the momentum of the truck is-

Pr=2250×25 kgm /s

Pr=56250 kgm/s

Now we can see the momentum of the car and the truck must be same that is Pc=Pr

1210×v =56250 kgm/s

v= 56250/1210

v= 46.48 m/s

Thus the velocity of the car is 46.48m/s .

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The resultant distance of the vector is 12.1 m and the angle between two vectors are 48.4°. So the x-component of this vector is, Aₓ = 8.0335 m

Vector is a product that means a parameter has two types of property one is value second is direction. If a parameter has both then it called a vector quantity. Example: Velocity.

To calculate the vector we know first this is a proper vector quantity or not. According to the question, this is a vector quantity. So it has two component, one along x axis another is y axis as shown in the picture.

We have to calculate the x-component, so we are using the formula is,

Aₓ = Acosθ

Here we are given,

A = The resultant distance of the vector = 12.1 m

θ= The angle between two vectors = 48.4°.

Now We have to calculate the x-component = Aₓ

Now we put the known values in the above equation, we get

Aₓ = Acosθ

Or, Aₓ = 12.1*cos(48.4°)

Or, Aₓ = 8.0335 m

According to the calculation we get, the x-component of this vector is, Aₓ = 8.0335 m

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Answer:

Explanation:

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The compression of the spring at the given weight is 61 cm.

Given,

The spring constant is k =2.4 × 10⁴ N/m

mass of each of the 23 persons, = 65 kg

mass of each of the 3 goats, = 15 kg

mass of each of the 5 chickens, = 3 kg

mass of the bananas, = 25 kg

The total mass of all the passengers contained in the laptop is calculated as;

total mass of the persons = 23 x 65 = 1495 kg

total mass of the goats = 3 x 15 = 45 kg

total mass of the chickens = 5 x 3 = 15 kg

the total mass of the bananas = 25 kg

The total mass = (1495 + 45 + 15 + 25)kg

1The total mass = 580 kg

The calculation for the lengthy of spring:-

F = kx

x = F/k = mg/k

x = (1495*9.8)/2.4*10^4

x = 0.610 m

x = 61 cm

Hence, the compression of the spring at the given weight is 61 cm.

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2. Experiment:

We need to make a circuit to test which of the materials are conductors and insulators.

Build the circuit as shown below.

If the light bulb is on then it is a conductor otherwise it is an insulator.

Keep replacing the material one by one to test all the materials.

The net acceleration of the block is about -2.04m/s².

The mass of the block is 20Kg. The force applied is 50 N and the angle at which the force is applied is 25°. The coefficient of friction is 0.20.

When the block will be pulled along horizontal by applying Force fat an angle A, then there will be two components of force one along vertical fsinA and one along horizontal fcosA.

The friction will be in opposite direction,

So, we can say, the net Force F on the block is,

F = Fr - fcosA

Ma = uN -fcosA

Where,

a is the acceleration of the block,

M is the mass of the block,

N is the normal force,

f is the applied force and,

u is the coefficient of friction.

Putting all the values,

20(a) = 0.2(50)sin(25°) - 50cos(25°)

20a = 0.2(0.42)(50)-50(0.9)

20a = 4.2 - 45

20a = 40.8

a = -2.04m/s².

The net acceleration of the block is -2.04m/s².

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I think the spring constant is not changing

We would weigh 114 kg on Neptune if we weighed 100 kg on Earth. In comparison, we would experience much lower gravity on the Moon (16.5%) or Mars (37.6%).

Neptune is much larger than Earth. In fact, its mass is 17 times that of the Earth. Neptune's surface gravity is approximately 110% that of Earth's, so if you weigh 100 pounds on Earth, you would weigh 110 pounds on Neptune (assuming you could find someplace to, well, stand). M is subdivided into two parts, m1 and m2. The ratio of m1/M for which the gravitational attraction between the two parts becomes maximum at a given separation is. 1:1.

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Answer:

6 x 10^26 N

Explanation:

The average force applied for a wind-up toy car while it is speeding up is 0.926m (N), where m is the mass of the toy.

The average force applied on an object is determined by applying Newton's second law of motion.

Mathematically, the average force applied on an object is given as;

F = ma

where;

The acceleration of the wind up toy is calculated as follows;

a = v/t

where;

a = (0.741 m/s) / (0.8 s)

a = 0.926 m/s²

Substitute the value of the mass of the wind-up toy and its acceleration into the force equation to determine the average force applied to the toy.

F = m(0.926)

F = 0.926m (Newton)

Thus, the average force applied for a wind-up toy car while it is speeding up is 0.926m (N), where m is the mass of the toy.

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The pressure exerted by both on the trampoline is 25,480 N/m².

The pressure exerted by both on the trampoline is the force per unit area which is calculated as follows;

P = F/A

where;

Substitute the given parameters and solve for the pressure exerted.

P = (mg)/A

A = 0.25 m x 0.1 m

A = 0.025 m²

P = (65 x 9.8) / (0.025)

P = 25,480 N/m²

Thus, the pressure exerted at any given surface depends on the applied force and the area of the given surface.

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The given problem can be solved using the following free-body diagram:

The diagram is the free-body diagram for the pulley that is holding the weight. Where:

Now we add the forces in the vertical direction:

Adding like terms:

Now, since the velocity is constant this means that the acceleration is zero and therefore the sum of forces is zero:

Now we solve for "T" by adding "mg" from both sides:

Now we divide both sides by 2:

Now we substitute the values and we get:

Solving the operations:

Now we use the free body diagram for the second pulley:

Now we add the forces in the vertical direction:

The forces add up to zero because the velocity is constant and the acceleration is zero:

Solving for the force:

Therefore, the pulling force is equal to the tension we determined previously and therefore is:

The magnitude of electromotive force is 232.5 volts.

We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by

ε = N dΦ / dt

where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.

From the question above, the parameters given are

N = 62

A/t = 0.25 m² / 0.1 s

t = 0.1 s

B = 1.5 T

By substituting the given parameters, we can calculate electromotive force

ε = N . dΦ / dt

ε = 62 . B . A / t

ε = 62 . 1.5 . 0.25 / 0.1

ε = 232.5 volts

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Answer:

Duck to avoid the ball and dodge the rhino’s attack and then try and climb the nearest tree. Hope that helps.

Explanation:

For me I’d say it’d be instinct for the answer.

Answer:

The President can issue executive orders, which direct executive officers or clarify and further existing laws.

The President also has the power to extend pardons and clemencies for federal crimes.

Explanation:

Mass m = 73kg

Vertical height in each stage h = 10 m

A). Initial speed u = 0

Final speed v = 4.3m / s

Work done W= mgh + ( 1/ 2) m[v 2 - u 2 ]

= 7063.2 +665.64

= 7728.84 J

B).Work done W = mgh

= 7063.2J

C).Work done W  = mgh + ( 1/ 2) m [ V 2 - v 2 ]

Where  V = final speed

= 0

v =4.3m / s

Substitute the values we get  W =7063.2 - 665.64

= 6397.56 J

To slow down a vehicle The vehicle slows down when it sees a police car. Thesaurus synonyms, antonyms, and examples. slow down. Slowing down The car slowed down and stopped next to her. A motionless object has zero velocity. If an object has zero acceleration its velocity must be constant.

Whenever an object's acceleration is in the same direction as its velocity, the car is accelerating and is said to be accelerating. If the acceleration is simultaneously opposed to the speed, the car is said to be slower and slower. Delay slows down: An unexpected slowdown in your car could mean you're running out of gas.

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The resultant displacement of Noah from the question is  2.9 miles.

The displacement is a vector quantity. Recall that a vector quantity is going to posses both a magnitude and a direction as we can see. This implies that the result of the vector which is the single vector that has the combines effect in magnitude and direction as all the vectors put together would be obtained by a geometric rather than an algebraic method. We now have to apply the rules that are used to obtain the resultant vector in each of the cases that does apply here.

We are now told that he drives 1.85 miles south, 2.43 miles east, and 0.35 miles north. The resultant of the vector in the North - South direction is; 1.85 miles - 0.35 miles = 1.5 miles.

Then the general resultant vector is obtained from;

R = √(1.5)^2 + (2.43)^2

R = 2.9 miles

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The graph does not correctly represent the story because the elevator descends to the basement at a faster speed than before.

An elevator going up shows uniform linear motion, as elevator will move in a straight line with a constant speed.

This type of motion can be shown using a straight line graph.

The downward motion of an elevator descending or moving downwards can be explained as follows;

An elevator moving downwards shows uniform linear motion, as elevator will move in a straight line with a constant speed.

From the given graph we can conclude the following;

Thus, from the greater steepness of the downward motion of the elevator than the upward motion, we can conclude that the elevator descends to the basement at a faster speed than before.

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According to the given statement The mass attached to the spring is 3.99 kg.

A spring system with a block hanging from or affixed to the spring's free end is known as a spring-mass system. The spring-mass system is typically used to calculate the duration of any object in a simple harmonic motion.

F = -kx

where k is the spring constant, and

x is the displacement of the spring

The angular frequency of the spring is:

[tex]\omega=\sqrt{\frac{k}{m}}[/tex]

m is the mass of object attached to the spring

So, frequency:

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

m = 4π²f² / k

given that f = 0.9 Hz, and

k = 9 N/m

m = (4×π²×0.9²)/8

m = 3.99 kg

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The statement is incorrect about the light year .

What is a light year ?

A Light year is the distance that light travels in a vacuum in one year.

The fastest thing we know is light, which travels through empty space at 186,000 miles or 300,000 kilometers per second. To give you an idea of ​​how fast it is, light can circle the Earth about seven times in one second. Astronomers use the speed of light to measure distance in space. A light year (ly) is the distance that light can travel in one year. In one year, light travels approximately 5,880,000,000,000 miles or 9,460,000,000,000 kilometers. So this distance is 1 light year. For example, our closest star is about 4.3 light years away. Our galaxy, the Milky Way, is about 150,000 light-years across, and the nearest large galaxy, the Andromeda Galaxy, is 2.3 million light-years away from her.

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Answer:

100 m

Explanation:

5  m/s   *   20 s = 100 m

Answer:

20 N

Explanation:

Vertical component will be   44 sin 63

HORIZONTAL component is  44 cos 63  N = 19.97 =~ 20 N