The _____ of an object is the time derivative of _____. Equivalently, it is the second time derivative of _____.

The velocity of the target ball after the collision is 1.4 m/s and the the mass of the target ball is 1.832 kg.

Define the terms velocity and mass.

By taking into account how long it takes the body to move, we may relate these three using the concept of velocity, which always ensures that the body is in motion. Since mass is a constant quantity, it has no effect on the body's velocity, yet a body in motion has kinetic energy. The kinetic energy is proportional to both velocity and mass.

Let us consider m1 and m2, v'1 and v'2 be the initial masses and velocities respectively and m1 and m2, v1 and v2 be the masses and velocities after Collison.

By law of conservation of momentum,

m1v'1+m2v'2 + m1v1+m2v2

Substitute the known values,

v'1 = 5.2 m/s

v1 = 3.8 m/s

v'2 = 0

Therefore,

0.285×5.2+0 = 0.285×(-3.8)+m2v2

1.482+1.083 = m2v2

m2v2 = 2.565 kg m/s       (1)

Inelastic collision kinetic energy of the system is conserved.

1/2 m1v'1^2+1/2 m2v'2^2 = 1/2 m1v1^2+1/2 m2v2^2

m1v'1^2+m2v'2^2 = m1v1^2+m2v2^2

0.285×(5.2)^2+ m2×0^2 = 0.285×(-3.8)^2+m2v2^2

7.7064+0 = 4.1154+m2v2^2

m2v2^2 = 7.7064 - 4.1154

m2v2^2 = 3.591     (2)

From equation (1) and (2)

m2v2 = 2.565 kg m/s

(m2v2)v2 = 3.591

(2.565)v2 = 3.591

v2 = 3.591/2.565 = 1.4 m/s

and

m2v2 =2.565 m/s

m2(1.4) = 2.565

m2 = 2.565/1.4 kg

m2 = 1.832 kg

Therefore, the velocity of the target ball after the collision is 1.4 m/s and the the mass of the target ball is 1.832 kg.

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ANSWER:

15 sec

STEP-BY-STEP EXPLANATION:

Given:

Initial speed (u) = 45 mph

Final speed (v) = 0 mph

Acceleration (a) = -3 mph/s

To make it easier to calculate them, we convert all units to the same unit, distance in meters and time in seconds, therefore:

Now, we use the following formula to calculate the braking time:

That is, it will take 15 seconds to stop.

Answer:

Electric field lines can be considered similar to pressure lines where the electric potential would be similar to a voltage.

One can draw pressure lines in a hose from a positive voltage to a voltage of zero at the exit of the hose.

If one were to reverse the voltage the field lines would also be reversed.

Note: at 100 lbs force at a faucet and a hose length of 10 m one would have a force drop of 100 lbs / 10 m of 10 lbs / m in the hose.

Practically one would never have an exit force of 0 lbs or no water would flow - but one can see the similarities

75.064 cm

Explanation

to solve this we need to know the equivalence

then

let's use a equivalente fraction to convert the measure

hence, the answer is 75.064 cm

I hope this helps you

A golf ball shifting ahead with 1 unit of momentum moves and bounces backward off a heavy bowling ball this is initially at relaxation and free to move. The bowling ball is ready in movement with a momentum of extra than 1 unit.

The bullet's mass is less than the gun's mass so the bullet's pace is greater than the gun's cringe speed. also, kinetic power is inversely proportional to mass. whilst a bullet is fired from a weapon, the weapon kicks within the opposite route. The motive for this is the pressure on the ball referred to as reaction.

Because the mass of the golf ball is greater than the mass of the bullet, the weapon recoils tons slower than the bullet's actions forward. A bowling ball this is desk-bound or transferred in a bowling alley does no gravitational work due to the fact gravity acts perpendicular to the surface. in step with Newton's third regulation of motion, each action has an equal and opposite reaction. when a gun fires a bullet it applies a force to the bullet that propels it forward.

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ANSWER

EXPLANATION

Ice is the solid state of water - think about ice cubes you'd use to cool a soda, they are in solid state.

Water at room temperature is always liquid - remember that 'room temperature' is about 25°C.

Answer:If a hole is dug into the ground deep enough that it reaches a confined aquifer, the pressure can be great enough to shoot water up the well without any help from a pump. Such a well is called a flowing artesian well

Explanation:

The velocity as calculated is Option d) Velocity is (d-dot) er

As given in the question the position vector is

r = d e_r

The length d is not constant with time but varies with it

The theta is fixed hat is e_r does not rotate that is it is constant with time.

To find the velocity we use the formula

velocity v = [tex]\frac{dr}{dt}[/tex]       where r is the position vector

⇒ v = [tex]\frac{d(de_r)}{dt}[/tex]

⇒v = (d-dot)e_r + d( e_r - dot)         (where dot means the time derivative)

⇒v= (d-dot) er                    (e_r - dot =0 because e_r is fixed )

∴The value of velocity = (d-dot) er which is

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The efficiency of a single movable pulley is not 100 % because the applied load is half of the load to be lifted.

MA = Fo / Fi

MA = Mechanical advantage

Fo = Output force

Fi = Input force

In a single movable pulley,

Fi = 0.5 Fo

MA = Fo / 0.5 Fo

MA = 2

Efficiency = MA * 100

Efficiency = 2 * 100

Efficiency = 200 %

A movable pulley does no have a fixed axis of rotation. In a movable pulley the forces are multiplied at the other end. So the effort required to pull the load is easier than a fixed pulley.

Therefore, the efficiency of a single movable pulley is not 100%

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Answer:

a 30 m/s

Explanation:

average velocity = total displacement/ total time taken

therefore a. velocity = 1500/50 which gives 30 m/s.

The normal force is less than the 10 N

Since we are given a box weight that is  10 N  tilted at 45⁰, so the formula we refer  from the figure to for calculating the normal force is:

N=mg⋅cos θ , where mg is the weight of the  box and θ is the angle at which the box is shifted.

The flatter the incline to be,  the normal force becomes greater. The littler an angle gets to be making the greater the esteem of cosine gets to be, and along these lines the greater the normal force becomes.

So, we get that the normal force will be

= 10 cos 45 (Since the value of mg  is 10 N and θ = 45⁰)

= 7.07 N

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The comparison between the distance traveled by the bullet compared with the distance traveled by the rifle at the same time shows that the bullet travels faster than the rifle due to greater acceleration.

Newtown's third law of motion states that for every action there is a reaction having equal magnitude but opposite direction.

In the case of bullet and rifle, both experience the same amount of force that is equal in magnitude but opposite in direction.

In physics, mass and acceleration have an indirect relation with each other i.e a = F/m. More mass means less acceleration and vice versa.

A rifle has a smaller amount of acceleration than a bullet. It is because the mass of the rifle is greater than the bullet therefore it covers less distance a s compare to a bullet having less mass and greater acceleration and thus travels faster.

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Answer:

Charge is 9.6 Coulombs

Explanation:

- From definition of current, current is rate of flow of charge in a circuit

[tex]current = \triangle(charge) \\ \\ current = \frac{charge}{time} \\ \\ { \boxed{ I = \frac{Q}{t} }}[/tex]

- From the question above,

[tex]0.08 = \frac{Q}{120} \\ \\ Q = 120 \times 0.08 \\ \\ Q = 9.6 \: C[/tex]

If the time is measured accurately to a tenth of a second, the height calculated will be precise to one hundredth of a meter.

According to Equations of motion,

s = ut + 1 / 2 at²

s = Displacement

u = Initial velocity

t = Time

a = Acceleration

If an object is dropped,

u = 0

a = 9.8 m / s²

s = 0 + ( 1 / 2 * 9.8 * t² )

s = 4.9 t²

If the time value is accurate to one-tenth of a second, then two time values multiplied will be accurate to one-hundredth of a second and so will the height in turn which will be measured in meters.

Therefore, if the time is measured accurately to a tenth of a second, the height calculated will be precise to one hundredth of a meter.

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The amplitude of the wave is related to the intensity or loudness of the sound.

What is amplitude?

A periodic variable's amplitude measures its change over a single period (such as time or spatial period). A non-periodic signal's magnitude in relation to a standard value is its amplitude. There are several definitions of magnitude, all of which depend on how much the extreme values of the variable differ from one another. The phase of the a periodic function sometimes is referred to as the amplitude in older texts. The maximum displacement of a wave propagating medium particle from its mean position to its extreme position is the amplitude.

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Thermal system is used on some electric and hybrid vehicles to cool the power electronics and charger modules.

What is thermal system?

An isolated system has no interaction with the rest of the physical universe, a closed system can only exchange heat and work, and an open system can also exchange mass. In thermodynamics, a system is the portion of the physical universe that the observer chooses to analyse separately from the rest.

A thermal system, on the other hand, is a complex assembly of coupled components, some of which are thermal, that exhibits a common structured behavior  for instance, a refrigerator consists of pipes, a compressor, an electric motor, heat exchangers, valves, insulation, a casing, doors, a lamp, and other components that interact to achieve the internal goal of producing cold.

The interior space or the refrigerant are thermodynamic systems, whereas a refrigerator is a thermal system. While large thermal systems, like a refrigerated store, are constructed on the job site, small thermal systems, like a refrigerator, typically come fully installed from the manufacturer (although a straightforward split-air-conditioning system needs installation). Thermal systems often require services such as fuel supply, flue stack, water intake and exit, air intake and exit, and electrical supply (for power or at least for control).

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The coefficient of kinetic friction between the box and the ramp if the box slides down a 34° ramp with an acceleration of 1.20 m/s² is 0.53

F = m a

F = Net force

m = Mass

a = acceleration

[tex]F_{k}[/tex] = μ[tex]_{k}[/tex] * N

[tex]F_{k}[/tex] = Kinetic frictional force

μ[tex]_{k}[/tex] = Co-efficient of kinetic friction

N = Normal force

Since the ramp is at an angle, resolving the gravitational force into its horizontal and vertical components.

[tex]F_{g} _{x}[/tex] = m g sin θ

[tex]F_{g} _{y}[/tex] = - m g cos θ

N = - [tex]F_{g} _{y}[/tex] = m g cos θ

a = 1.2 m / s²

θ = 34°

Forces acting in x-direction,

F = [tex]F_{g} _{x}[/tex] -  [tex]F_{k}[/tex]

m a = ( m g sin θ ) - ( μ[tex]_{k}[/tex] * m g cos θ )

m * 1.2 = m ( 9.8 * sin 34° ) - m ( μ[tex]_{k}[/tex] * 9.8 * cos 34° )

1.2 = 5.49 - ( μ[tex]_{k}[/tex] * 8.13 )

μ[tex]_{k}[/tex] = 4.29 / 8.13

μ[tex]_{k}[/tex] = 0.53

Therefore, the coefficient of kinetic friction between the box and the ramp is 0.53

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When chlorine exists utilized to disinfect water is chloroform. Also utilized in industrial processes is chloroform. The speed of light in chloroform exists 1.98 × [tex]10^8[/tex]  m/s.

An artificial byproduct created when chlorine is used to disinfect water is chloroform. Also utilized in industrial processes is chloroform.

The colorless liquid chloroform (CHCl3) soon turns into gas. It can damage the neurological system, liver, kidneys, eyes, skin, and skin.

In chloroform, light travels at a speed of 1.98 × 108 m/s.

We are aware that n = c / v is the formula for the relationship between the refractive index and speed.

Where c is the vacuum-bound speed of light and v is the speed in a medium.

Therefore, v = 3 × 108 / 1.51 or c/n is the formula for the speed of light in chloroform.

v = 1.98 × [tex]10^8[/tex]  m/s.

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Newton's first law of motion is also known as the law of inertia. Newton's first law applies whether the object is in motion or not.

Objects do not change motion unless a force is applied. The second law states that the force on an object is equal to its mass times its acceleration. The third law states that when two objects interact, forces of equal magnitude and opposite directions are applied to each other. The law of motion shown in the picture is Newton's first law of motion.

According to Newton's first law of motion, a person at rest does not change motion until some pressure is applied. Newton's first law of motion describes how inertia affects moving and stationary bodies. Newton's first law states that an object will either remain stationary or move in a straight line with constant velocity unless an unbalanced force acts on it. Another name for Newton's second law is the law of force and acceleration.

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The length of the first rough patch is 3.75 m.

The first rough patch is located at the point where the cart hits the spring of rest. The distance to this point is equal to the length of the spring (1.85 meters) plus 0.47 meters, which is 1.80 meters.

The cart's velocity after passing the first rough patch is 2 m/s, and the coefficient of kinetic friction is 0.47, so when it hits a spring of rest length 1.85 m (length of the second rough patch), it must have a velocity of 6.4 m/s in order to stop at a distance of 0.85 m from the spring.

This means that if height of the curved track is 4 m, then the length of the first rough patch is 3.75 m.

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Answer:

Maxwell-Ampere Law

Explanation:

I took from what I remembered

Hope this helps tho <3

The speed of the shoot is 79.8 m/s.

The angle of projection of the cannonball is 90 degrees.

The time of motion of the cannonball is 16.3 seconds.

The speed of the shoot is obtained by applying the following kinematic equation.

v² = u² - 2gh

where;

at maximum height, the final velocity = 0

0 = u² - 2gh

u² = 2gh

u = √2gh

u = √(2 x 9.8 x 325)

u = 79.8 m/s

The angle of projection of the cannonball is calculated as follows;

h = (u²sin²θ)/2g

u²sin²θ = 2gh

sin²θ = (2gh) / (u²)

sinθ = √[(2gh) / (u²)]

sinθ = √[(2 x 9.8 x 325 ) / (79.8²)]

sinθ  = 1

θ = arc sin(1)

θ = 90⁰

The time of motion of the cannonball is calculated as;

T = (2u sinθ)/g

T = (2 x 79.8 x sin90) / 9.8

T = 16.3 seconds

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The speed of the shot will be 79.8 m/s, the time of rise and fall in the movement will be 16.3 seconds and the angle at which the cannonball is fired is 90°.

The ratio of distance to time is referred to as the speed of an object. It is a scalar quantity with the SI unit of meters per second (m/s).

The given values according to the question are :

Height, h = 325 m

Final velocity, v = 0 m/s

The acceleration due to gravity, g = 9.8 m/s²

Use the formula and substitute the values,

v² = u² - 2gh

0 = u² - 2gh

u² = 2gh

[tex]u = \sqrt{2gh}[/tex]

u = √(2 × 9.8 × 325)

u = 79.8 m/s.

Now, calculate the angle of projection of the cannonball :

h = (u² sin²θ)/gh  

u² sin²θ = 2 gh

sin θ =[tex]\sqrt{(2gh)/u^2}[/tex]

sin θ = [tex]\sqrt{2(9.8*325)/(79.8)^2}[/tex]

sin θ = 1

θ = arc sin(1)

θ = 90°

Now calculate the time of motion of the cannonball :

T = (2u sinθ)/g

T = (2 × 7.8 × sin 90°) / 9.8

T = 16.3 seconds

Hence, the time of the motion of the ball is 16.3 seconds and the speed of the shot is 79.8 m/s.

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It is FALSE that the proportionality dependence of the current (i) through any conductor to the voltage (v) across it and its resistance (r) is true for all conductors regardless of temperature.

When the conductors have a higher temperature, the molecules in the conductor will be more crowded and the result is the resistance of the conductor will rise. Hence, the current flowing through the conductor will decrease in the same voltage.

In the lower temperature, the resistance of the conductor will decrease and lead to more current flowing through the conductor in the same voltage.

Thus, the conductor temperature has an effect on its resistance.

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The temperature in Fahrenheit is 67.73 degrees Fahrenheit

(293K − 273.15) × 9/5 + 32 = 67.73°F

Typically, 67.73°F is not considered sweater weather. However, you can dress in a sweater in this temperature if you typically feel cold. If you want to create a fashionable image but are worried about perspiring, wrap the sweater over your shoulders.

Water freezes at 32 degrees Fahrenheit and boils at 212 degrees Fahrenheit on the Fahrenheit scale, which is used to measure temperature. It is denoted by the °F sign.

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The weight of the same object on a planet where gravitational attraction is mg /10.

Force = mg

On Earth weight = force = mg where g = acceleration of gravity

But according to your question

On a planet with gravity 1/10 of the earth is

Weight = force = mg /10.

On the Moon, gravity pulls less on objects so they weigh less. For example, a rock that weighs 1 pound weighs less on Earth than it does on the Moon. Weight is the result of the law of universal gravitation. Any two objects are attracted to each other by their masses with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

The mass remains the same and the weight decreases on the moon. When flying to the moon the gravitational acceleration is less than the gravitational acceleration. That's about one-sixth of the acceleration due to gravity. If gravity is halved, atmospheric pressure is halved. This equates to climbing above 5,000 meters. This means that all humans will struggle to breathe enough oxygen, more than they can live on forever.

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S-wave motion is identical to that of love waves, but there is no vertical displacement. In a horizontal plane and at a right angle to the direction of propagation, they cause the ground to move side to side.

After British mathematician A. E. H. Love, who developed the mathematical model for this wave type in 1911, one type of surface wave is known as a Love wave. Motion is only horizontal in a love wave. Love waves are horizontally polarized surface waves in the field of elastic dynamics, and they are named after Augustus Edward Hough Love. The interference of numerous shear waves (S-waves), which are guided by an elastic layer and joined to an elastic half space on one side while encroaching on a vacuum on the other, results in the Love wave.

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Sunlight at a wavelength of 0.4 μm (micrometers) is absorbed (i.e. reduced) by about 0 to 12 percent by the atmosphere when it gets to the surface of the earth.

Between 0.40 and 0.71 micrometers (m) is the wavelength of visible light. In this region, the sun only emits 44% of its total radiation. The spectrum of solar energy ranges from around 0.1 to 4.0 micrometers. The 0.1 to 0.4 micrometer wavelength range contains around 7% of the sun's radiation (UV). Near infrared radiation from the sun falls in the range of 0.71 to 1.5 micrometers, whereas far infrared radiation falls in the range of 1.5 to 4.0 micrometers.

Extraterrestrial radiation is solar radiation that occurs outside the earth's atmosphere. The extraterrestrial irradiation is typically 1367 W/m2. As the earth circles the sun, this number fluctuates by about 3%.

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Answer:

5lb heiw yakehe ajebe hebd ueje

The amount of power required to move the 120 Kg person to a distance of 35 m in 150 s is 274.4 W

Power is simply defined as the rate at which work is done. It can be expressed mathematically as

Power (P) = work (W) / time (t)

But

Work = force (F) × distance (d)

Therefore,

P = Fd / t

With the above formula, we can obtain the power as follow:

P = Fd / t

P = (1176 × 35) / 150

P = 41160 / 150

P = 274.4 W

Thus, the power is 274.4 W

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If we increased the magnitude of the magnetic field The radius would decrease.

Magnitude in physics is basically "distance or quantity," so it represents the relative or absolute size, direction, or speed of an item. It is employed to describe something's size or scope. Magnitude in economics generally refers to a size or quantity.

The total amount of forces exerted on an item is referred to as the magnitude of force in physics. The intensity of the force increases when all of the forces are pulling in the same direction. As forces are exerted on an item from different angles, the agency's strength reduces.

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