A 20-kg object sitting at rest is struck elastically in a head-on collision with a 10-kg object initially moving at 3.0 m/s. Find the final velocity of the 10-kg object after the collision.

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

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Reduce the distance by a factor of 4 change the distance between two charged particles to increase the electric force between them by a factor of 16.

Thus, When charged things interact with other objects, there is an electric force present in the system.

The electric force between them is appealing because positive charges are attracted to negative charges. For two positive charges or two negative charges, the electric force is repellent.

A typical illustration of this is what happens when two balloons are rubbed on a blanket. When you rub the balloons against the blanket, electrons from the blanket transfer to the balloons, leaving the blanket positively charged and the balloons negatively charged.

Thus, Reduce the distance by a factor of 4 change the distance between two charged particles to increase the electric force between them by a factor of 16.

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Answer:

k=6.666

Explanation:

F=kx

100=k 50-35

100=k*15

k=6.666

Answer:

Hope this helps

Explanation:

Answer:

The range of the projectile is 60 m

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed vo from a height h, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.

The horizontal component of the velocity is always constant because no acceleration acts in that direction, thus:

\(v_x=v_o\)

The vertical component of the velocity changes in time because gravity makes the object fall at increasing speed given by:

\(v_y=g.t\)

The horizontal distance is calculated as a constant speed motion:

\(x = v_x.t\)

Knowing the crossbow is fired horizontally at vo=vx=15 m/s and it takes t=4 s to hit the ground, thus the range of the projectile is:

x = 15*4 = 60

The range of the projectile is 60 m

The impulse that Earth exerts on the apple during the next 0.50m of its fall is:

Δp = m * v2 - m * v1 = 0.15 kg * 4.43 m/s - 0.15 kg * 3.13 m/s = 0.16 Ns.

The impulse that Earth exerts on an object is equal to the change in momentum of the object. The momentum of an object is given by:

p = m * v

where p is momentum, m is mass, and v is velocity.

During free fall, the velocity of the object increases due to the acceleration due to gravity, which is approximately 9.81 m/s^2. Therefore, the velocity of the apple after falling a distance of d is:

v = sqrt(2gd)

where g is the acceleration due to gravity and d is the distance fallen.

The change in momentum of the apple during the first 0.50m of its fall is:

Δp = p2 - p1 = m * v2 - m * v1

where p1 is the initial momentum, p2 is the final momentum, v1 is the initial velocity (which is 0), and v2 is the final velocity after falling a distance of 0.50m.

Plugging in the values:

m = 150 g = 0.15 kg

g = 9.81 m/\(s^2\)

d = 0.50 m

The final velocity of the apple after falling 0.50m is:

v2 = sqrt(2gd) = sqrt(29.810.50) = 3.13 m/s

Therefore, the impulse that Earth exerts on the apple during the first 0.50m of its fall is:

Δp = m * v2 - m * v1 = 0.15 kg * 3.13 m/s - 0.15 kg * 0 m/s = 0.47 Ns

For the next 0.50m of its fall, the initial velocity is now 3.13 m/s and the final velocity after falling another 0.50m is:

v2 = sqrt(2gd) = sqrt(29.811.00) = 4.43 m/s.

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Answer:

These all different sources of energy add to the store of electrical power that is then sent out to different locations via high powered lines. It is the energy from the sun that is harnessed using a range of technologies such as solar heating, solar architecture, photovoltaics, and artificial photosynthesis.

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Poor health and safety practices when using non-ionizing and ionizing radiation technologies can have significant consequences. Here are some potential consequences and the prevention and safety measures employed to mitigate them.

Consequences of poor health and safety:

Non-Ionizing Radiation:

Ionizing Radiation:

Prevention and safety measures:

Non-Ionizing Radiation:

Ionizing Radiation:

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Answer:

Explanation:

The chart shows data for four moving objects.

Object

Initial Velocity

Final Velocity

Change in

(m/s)

(m/s)

Time (s)

29

6

X>N

10

34

12

12

40

20

28

8

Which object has the greatest acceleration?

W

x

Y

The merry-go-round's new angular velocity is 0.321 rpm.

Calculation-

L = Iω

The moment of inertia of a solid disk rotating about its centre is given by:

\(I = (1/2)mr^2I = (1/2)(150 kg)(1.5 m)^2 = 168.75 kg·m^2\)

initial angular momentum of the system

L = Iω = \((168.75 kg·m^2)(15 rpm)(2π/60 s) = 52.36 kg·m^2/s\)

The new angular velocity is determined by:

L = I'ω'

where L represents the system's initial angular momentum.

The system's new moment of inertia is:

\(I' = I - 2mr^2\)

we get:

\(I' = 25 kg - 2(168.75 kg/m2)(0.35 m)^2 = 162.88 kg·m^2\)

We get the following by substituting into the conservation of angular momentum equation:

L = I'ω'

\((162.88 kg/m2) / 52.36 kg/m2\)

ω' = 0.321 rpm

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Explanation:

distance from ground

mass

amount of compression

Answer:

Maximum height, h = 3062.5m

Total time of flight, T = 49.49secs or 50secs approx.

Range, R = 12250m

Explanation:

Given data:

U = 350m/s

Angle = 45°

Assume g = 10m/s

At the greatest height, v = 0

Therefore,

V^2 = U^2 sin^2 × angle - 2×g×h

Substituting values:

0^2 = 350^2 sin^2 (45) - 2 × 10 × h

Let h = maximum height reached

Rearranging gives:

350^2 sin^2(45) = 2 x 10 x h

h = 350^2 sin^2(45)/2×10

h = 122500 x 0.5/20

h = 61250/20

h = 3062.5m

2)Total time of flight, T

T = 2U sin(angle)/g

= 2x350 sin(45)/10

= 494.9747/10

= 49.49secs or 50sec approx.

3) Range of projectile, R

R = U^2 sin2(angle)

= 350^2 sin2 (45)

= 122500 x 1/10

= 12250m

Answer:

Explanation:

Using the Newtons law of motion;

\(\sum Fx = ma_x\\Fm - Ff = ma_x\)

Fm is the moving force = 400N

Ff is the frictional force = μR

μ is the coefficient of kinetic friction

R is the reaction = mg

m is the mass

a is the acceleration

The equation becomes;

\(Fm - \mu R = ma_x\\Fm - \mu mg = ma_x\\400- \mu (25)(9.8) = 25(9)\\400 - 254.8 \mu = 225\\- 254.8 \mu = 225 - 400\\- 254.8 \mu = -175\\ \mu = \frac{-175}{- 254.8} \\\mu = 0.69\)

Hence the coefficient of kinetic friction between the box and floor is 0.69

The coefficient of kinetic friction between the box and the floor is 0.714.

Friction: This can be defined as the force that tends to oppose two surfaces in motion.

The question above can be solved using the formula

F-ma = mgμ................. Equation 1

Where F = Force applied to push the box, m = mass of the box, a = acceleration of the box, μ = coefficient of kinetic friction, g = acceleration due to gravity.

make μ the subject of the equation

μ = (F-ma)/mg................ Equation 2

From the question,

Given: F = 400 N, m = 25 kg, a = 9 m/s²,

Constant: g = 9.8 m/s²

Substitute these values into equation 2

μ = [400-(25×9)]/(25×9.8)

μ = (400-225)/245

μ = 175/245

μ = 0.714

Hence, the coefficient of kinetic friction between the box and the floor is 0.714.

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Answer:

d your welcome ehhehe:)

Answer:

Geothermal!!

Explanation:

Geo means earth! Just like Hydro means water, and Pyro means fire :)

Answer:

The Answer is D). Geothermal energy

Explanation:

Hope this helps!!!!!

Workdone:-

\(\\ \tt\longrightarrow Force\times Displacement \)

\(\\ \tt\longrightarrow 500(100)\)

\(\\ \tt\longrightarrow 50000J\)

Answer:

Explanation:

Use Archimedes' principle, that states something of this nature: "The buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced"

Say, you take a cube of wood(for example) and place it in a bucket of water. Your cube is bound to sink, until, the upthrust force equals its weight.

Where does this upthrust come from?

As the cube sinks, it displaced some volume of water(if the bucket were full you would see water pouring out)

Archimedes simply stated that: Upthrust,

U=mg

Answer:

Its stored in there

Explanation:

And air has little mass

Based on the information, it should be noted that the resistance R is 0.5 Ω.

When S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:

Z = jωL - 1/(jωC)

Since i leads e by 30°, we can express the phasor relationship as:

I = k * e^(j(ωt + θ))

Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)

Re(Z) = 0

By equating the real parts, we get:

0 = 0 - 1/(120πC)

Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:

Z = R + jωL - 1/(jωC)

Z = R + jωL

Im(Z) = ωL > 0

Substituting the angular frequency and rearranging the inequality, we have:

120πL > 0

L > 0

This condition implies that the inductance L must be greater than zero.

When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:

Z = R + jωL - 1/(jωC)

Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:

I = 0.5 * e^(j(ωt + θ))

By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:

Re(Z) = R

Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R

Therefore, the resistance R is 0.5 Ω.

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The current that flows through the 75 ohm resistor in the circuit shown below is 0.12A.

The current flowing through a circuit can be calculated using the Ohm's law equation as follows;

V = IR

Where;

According to this question, a circuit is shown in the above image. A 75 ohm resistor is given alongside a voltage of 9V. The current can be calculated as follows;

9 = I × 75

I = 0.12A

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To solve the problem, let's break it down into three parts:

1. Determining the distance covered by cars A and B as a function of time:

For uniformly accelerated rectilinear motion, we can use the following equation to calculate the distance covered:

distance = initial velocity * time + (1/2) * acceleration * time^2

For car A:

The initial velocity is 0 m/s, and the acceleration is 4 m/s².

So, the distance covered by car A at time t is:

d¹(t) = 0.5 * 4 * t^2 = 2t^2

For car B:

The initial velocity is 0 m/s, and the acceleration is -2 m/s² (opposite direction to car A).

So, the distance covered by car B at time t is:

d²(t) = 0.5 * -2 * t^2 = -t^2

2. Deducing the time of meeting for the two cars:

To find the time of meeting, we need to set the distances covered by both cars equal to each other:

2t^2 = -t^2

Simplifying the equation:

2t^2 + t^2 = 0

3t^2 = 0

Since the equation equals zero, the only solution is t = 0. This means that the two cars meet at the starting point at t = 0.

3. Considering car B in uniform rectilinear motion with a speed of 10 m/s:

If car B is moving at a constant speed of 10 m/s, it means its acceleration is 0 m/s². Therefore, the equation for car B's distance covered becomes:

d²(t) = initial velocity * time = 10 * t = 10t

Now, we can answer the preceding questions using this new equation for car B.

1. The distance covered by car A at time t is still d¹(t) = 2t^2.

The distance covered by car B at time t is now d²(t) = 10t.

2. The time of meeting for the two cars can be found by setting the distances equal to each other:

2t^2 = 10t

Simplifying the equation:

2t^2 - 10t = 0

2t(t - 5) = 0

From this equation, we have two solutions:

t = 0 (the initial meeting point)

t = 5 seconds (when the two cars meet again after 5 seconds)

Therefore, the cars meet again after 5 seconds.

Please note that the distances calculated above are in terms of t, the time elapsed since t = 0.

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Answer:

25 watts

Explanation:

Power=work/time

work=force x distance

1000 × 3

=3000 Joules

power= 3000/120

=25 watts

If A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 120 seconds. Then the power used is equal to 25 watts.

Power is the rate at which work is done or energy is transferred. It is a physical quantity that measures how quickly energy is used or transformed.

P=W/s

Where W= work done in joules.

s= time in seconds.

Power is typically measured in watts (W), which is equivalent to joules per second (J/s). In simple terms, power can be defined as the amount of work done or energy transferred per unit of time.

Here in the question,

To calculate the power used to lift the piano, we need to use the formula:

Power = Work / Time

The work done in lifting the piano is given by:

Work = Force x Distance

Where

Force = the weight of the piano, which is 1,000 newtons,

Distance = the height to which it is lifted, which is 3 meters.

Then, the work done is:

Work = 1,000 N x 3 m = 3,000 joules

The time taken to lift the piano is 120 seconds.

Now we can substitute these values in the formula for power:

Power = Work / Time

Power = 3,000 joules / 120 seconds

Power = 25 watts

Therefore, the power used to lift the piano is 25 watts.

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Answer:

Whenever one body exerts a force on a second body, the first body experiences a force that is equal in magnitude and opposite in direction to the force that it exerts

Explanation:

Answer: According to Khan Academy "Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A.

Explanation: This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself. We sometimes refer to this law loosely as action-reaction, where the force exerted is the action and the force experienced as a consequence is the reaction.

We can readily see Newton’s third law at work by taking a look at how people move about. Consider a swimmer pushing off from the side of a pool, as illustrated below.

A swimmer pushes on the wall with her feet, which causes the wall to push back on her feet due to Newton's third law."

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Newton's Third Law of Motion states that for every reaction, there is always an equal but an opposite reaction.

Newton's law is proposed by Sir Isaac Newton. He is an English physicist and he proposed three laws of motion.

Newton's Third Law of Motion states that for every reaction, there is always an equal but an opposite reaction.

Examples of Newton's Third Law of Motion are:

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The power needed to boil the water is divided by the element's power output, and the result is multiplied by 100 to get the efficiency of the kettle as a percentage. The answer is 79 %.

We are informed that

Electric kettle power is 1 kW.

Electric kettle voltage is 230 V.

The time it takes the kettle to bring the water to boiling point is 7.5 minutes.

1 kg = mass of water.

Heat generated equals V x I x t + Pt.

generated heat = 1000 W x 7.5 x 60

Heat absorbed equals (100 - 15) x 1 x 4200 = 4200 x 85

Efficiency is determined by multiplying the heat produced by the heat absorbed by 100.

= 4.2 x 85 x 10^3 / 4.5 x 10^5 x 100

= 357 / 4.5 = 79 %

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Pitch 0.396, solid height 12 turns, number of active turns 1.755 Spring rate is 1.08N/3, force is 81.9N and the stress in the spring is 3.85Kspi

The term "force" has a specific meaning in science. At this point, describing a force as a push or a pull is perfectly appropriate. A strength is not something an item "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects with in concept of a force.

Force: Force is just a physical factor that alters or has the potential to alter an object's state of motion or motion and its form. Newton is the SI unit of force.

(a) Pitch, solid height, number of active turns

\(N_{t}\)= 12.5 coils

pitch = 4.75/12

=0.396

The ends are squared  along 1/4 turns on each end

\(N_{a}\)= 12.5-0.5

=12 turns

Solid height: solid stack is 13 wire diameter

\(L_{s}\)= 13(0.135) = 1.755

(b) Spring rate

\(K=\frac{d^{2}c }{8D^{3}N_{a} }\)

\(= \frac{3.4^{4}*78.6*10^{3} }{8*46.6^{3}*12 }\)

\(= 1.08 N/3\\\) or 6.08 uof/in

(c) Force

\(F_{v}=K(L_{0}- L_{1} =1.08 (12.-44.2)\\ =81.9N or 18.2 Lbf\)

(d) c= D/d = 1.865/0.135 = 13.81

\(K_{b}=\frac{4(13.81)+2}{4(13.81)-3} = 1.096\)

\(T_{s}-K_{B} = \frac{8F_{D} }{nd^{3} } = 1.096 * \frac{8(18.2)(1.865)}{(0.135^{3} )}=3.85 Kpsi\)

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Answer:

As the football travels up, gravity slows it down until it reaches a point where it stops briefly at its highest peak; then the football comes down, and gravity accelerates it until it hits the ground hard.

Have a great day!

The magnitude of the acceleration and its direction however depends on the resultant force.

In a system of forces, the resultant force is the force that has the same effect in magnitude and direction as all the forces acting together.

In an inclined plane, the friction, weight and applied force all act together on the object. The magnitude of the acceleration and its direction however depends on the resultant force.

This question is incomplete as the diagrams are missing hence the numerical values can not be computed.

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Answer:

30.2 Earth years for the new planet to orbit the Sun once.

Explanation:

An AU (astronomical unit) is the average distance from the Earth to the Sun, approximately 93 million miles or 150 million kilometers. So a semi-major axis of 10.5 AU is roughly equivalent to 987.5 million miles or 1.58 billion kilometers.

The time it takes for a planet to orbit the Sun is called its orbital period. The formula for calculating the orbital period of a world is:

T = 2π * √(a^3 / G(M_s)), where T is the orbital period, a is the semi-major axis, G is the gravitational constant, and M_s is the mass of the Sun.

Since the mass of the Sun is known, we can use the formula to calculate the orbital period of the new planet:

T = 2π * √(10.5^3 / (4π^2)) ≈ 30.2 Earth years

So, it will take approximately 30.2 Earth years for the new planet to orbit the Sun once.

Answer:

total sum of all numbers/ number of items in the set

Explanation: