A 2,100kg car drives toward a 55kg cart that has a velocity of 0.50m/s west. The two objects collide giving the car a final velocity of 6.31m/s east and the shopping cart a velocity of 13.5m/s east what the initial velocity of the car?

A. 6.68m/s east
B. 7.19m/s west
C. 6.68m/s west
D. 7.19m/s east

Based on the principle of moments, the moment of the 100 N force is 50 J.

The moment of a force, also known as torque, is a measure of the rotational effect or turning effect produced by a force about a particular point or axis.

Mathematically, the moment of a force (τ) is given by:

τ = Force × perpendicular distance

The moment of the 100 N force will be:

force = 100 N

the perpendicular distance from the axis of rotation = 50 cm (75 -25)

Moment = 100 * 0.5

Moment = 50 J

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A subcritical state will result by flattening a critical mass of fissionable material into the shape of a hamburger.

To find the answer, we need to know about the critical mass.

Thus, we can conclude that, a subcritical state will result by flattening a critical mass of fissionable material into the shape of a hamburger.

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The displacement of Susie is the total distance and direction she has traveled. In this case, Susie has traveled a total of 52 meters in a northwest direction.

Displacement is a vector quantity that is defined as the change in position of an object from its initial position. It measures the distance and direction of an object’s movement from its starting point to its final point. Displacement is a common concept used in physics and can be expressed mathematically as the difference between the initial and final position of an object.

To calculate her displacement, we can use the Pythagorean Theorem. Susie walked south for 12 meters, then east for 14 meters, then north 11 meters, then south 9 meters, then west 16 meters.

The Pythagorean Theorem states that the square of the hypotenuse (the total displacement) is equal to the sum of the squares of the other two sides:

Displacement^2 = 12^2 + 14^2 + 11^2 + 9^2 + 16^2
Displacement^2 = 1444
Displacement = 38.2 meters
To determine the direction of the displacement, we can use the arctangent function.
Arctan(Y/X) = Arctan(11/16)
Arctan(Y/X) = 28.02°
Since Susie started walking South, the total displacement is 28.02° Northwest.
Therefore, Susie's final displacement is 52 meters Northwest.

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Two objects having the same momentum do not necessarily have the same velocities in the same direction.

This is because momentum is a vector quantity, which means that it has both magnitude and direction. Velocity, on the other hand, is also a vector quantity since it has magnitude and direction. Therefore, two objects can have the same momentum, but their velocities can be different in terms of direction or magnitude or both. The momentum of an object is the product of its mass and its velocity. When two objects of different masses and different velocities are compared, the one with the larger mass and slower velocity has more momentum than the one with smaller mass and faster velocity.

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Acceleration is mathematically defined as; ΔV/t.

Acceleration is defined as the ratio of the change in velocity to time. It is defined as the extent to which the velocity changes within a given time interval.

The question is incomplete so we can not arrive at the final answer. However, acceleration is mathematically defined as; ΔV/t.

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Answer:

11:10 will be the time. reflection causes the object to be flipped when you see its image at the mirror

In induction, an object gives another object an opposite charge without losing any of its own charge. Correct option is A.

The charge of a charged particle or substance can be positive or negative. Naturally, charges with the opposite polarity attract and those with the same polarity repel. When something is charged, it either has a net positive charge or a net negative charge.

When the right circumstances are present, induction occurs and another object receives a net charge. Bringing a charged object up close to an uncharged object is the easiest way to make it happen. The originally neutral object now has a charge that is separated by an electrostatic force. There is no requirement for interaction.

So, the correct option is A.

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TRUE. This description matches that of fibre optic cables, which use a protected string of glass or plastic to transmit beams of light over long distances at high speeds.

The light signals are converted into electrical signals at either end of the cable for communication purposes.

True. A high-speed transmission medium that uses a protected string of glass to transmit beams of light is known as fibre-optic cable. This type of cable can carry data at very high speeds over long distances, providing better performance and reliability than traditional copper cables.

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To solve this problem, we can use the concept of related rates. We are given that the distance s between the airplane and the radar station is decreasing at a rate of 400 km per hour when s = 10 km. We need to find the horizontal speed of the plane.

Let's denote the horizontal speed of the plane as v. Since the plane is flying at a constant height of 6 km above the ground, we can consider a right triangle formed by the airplane, the radar station, and the ground. The distance between the airplane and the radar station is the hypotenuse of this triangle, and the height of the triangle is 6 km.

Using the Pythagorean theorem, we have:

s^2 = (v^2) + (6^2)

Differentiating both sides of the equation with respect to time t, we get:

2s(ds/dt) = 2v(dv/dt)

Since ds/dt is the rate at which the distance s is changing (given as -400 km/h) and s = 10 km, we can substitute these values into the equation:

2(10)(-400) = 2v(dv/dt)

Simplifying further:

-8000 = 2v(dv/dt)

Now, we need to find the value of dv/dt, which represents the rate at which the horizontal speed of the plane is changing. Rearranging the equation, we have:

dv/dt = -8000 / (2v)

Given that s = 10 km, we can substitute this value into the equation for v:

10 = (v^2) + (6^2)

10 = v^2 + 36

v^2 = 10 - 36

v^2 = -26

Since we are dealing with speeds, we can discard the negative value. Therefore, the horizontal speed of the plane is v = √26 km/h (approximately 5.1 km/h).

according to the question mention above, the horizontal speed of the plane is approximately 833.3 km/h.

We can start by using the formula:
s^2 = d^2 + h^2
where s is the distance between the airplane and the radar station, d is the horizontal distance between them, and h is the height of the airplane.
Taking the deriviative with respect to time, we get:
2s ds/dt = 2d dd/dt
Since the airplane is flying at a constant height, we know that dh/dt = 0. Therefore, we can simplify the equation to:
ds/dt = -(d/s) dd/dt
Substituting the given values, we have:
s = 10 km
ds/dt = -400 km/h
h = 6 km
Solving for d, we get:
d = sqrt(s^2 - h^2) = sqrt(10^2 - 6^2) km ≈ 8 km
Substituting into the equation for ds/dt, we have:
-400 km/h = -(8 km/10 km) dd/dt
Simplifying, we get:
dd/dt = 500 km/h
Therefore, the horizontal speed of the plane is:
d/dt = dd/dt / cos(theta)
where theta is the angle between the horizontal distance and the line of sight between the airplane and the radar station. Since the airplane is flying towards the radar station, we can assume that theta is small and approximately equal to the angle of depression. Therefore:
cos(theta) ≈ h/s = 6 km / 10 km = 0.6
Substituting, we get:
d/dt = 500 km/h / 0.6 ≈ 833.3 km/h
Therefore, the horizontal speed of the plane is approximately 833.3 km/h.

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Answer:

c) more energy is trapped, which leads to an increase in Earth's global temperature

Explanation:

Greenhouse effect is caused by the trapping of the reflected energy from the surface of the earth into the atmosphere by some gases. Thus with time causes more energy to be trapped in the atmosphere, which cause an increase in the average ambient temperature of the earth. Because the energy could not escape out into space beyond the earth's atmosphere. Therefore, an increase in Earth's global temperature.

So that the correct option in the given question is C.

Loftiest to smallest temperature

Mercury

Earth

Mars

Jupiter

Neptune

What's the average face temperature?

Planetary face temperatures range from over 400 °C on Mercury and Venus to below-200 °C on distant globes. The factors that determine temperature are the complex balance of heat entered and lost.

Thus, for these five globes, temperature correlates with distance from the Sun. The near to the sun, the hotter the earth. Note, still, that this isn't always the case, as the earth's temperature also depends on its reflectance and the strength of the greenhouse effect( if present). For illustration, although Venus is nearly doubly as far from the Sun, the average temperature on Venus is advanced than on Mercury due to the greenhouse effect.

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Given data

*The given complete set has a mass is m = 3467 kg

*The speed of the cart with a horizontal velocity relative to the floor is v_1 = 0.02 m/s

*The speed of the librarian is v_2 = 2.40 m/s

The formula for the librarian's mass (m_l) is given by the conservation of momentum as

Substitute the known values in the above expression as

Hence, the librarian's mass is m_l = 28.89 kg

Answer:

a

Explanation:

If we launched a very fast dart from the Space Shuttle in a direction away from any planet, Assuming the dart is traveling at an extremely high speed (close to the speed of light), it might eventually encounter a cloud of interstellar gas or dust.

Space is mostly empty, consisting of a vacuum with very low density. However, space also contains various astronomical objects, such as stars, planets, moons, asteroids, comets, and other celestial bodies.

There is also interstellar gas and dust scattered throughout space, which can sometimes form clouds that give birth to new stars. Additionally, space is permeated by electromagnetic radiation, including cosmic rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves.

Space also contains various forms of energy, including dark energy, which is believed to be responsible for the accelerating expansion of the universe, and dark matter, which is thought to make up the majority of the matter in the universe but cannot be directly observed. Overall, space is a vast and complex environment that continues to fascinate astronomers and scientists.

Here in this question,

Therefore, if launched a very fast dart from the Space Shuttle, is pointed in some direction away from any planet, it could travel beyond the solar system. it would be most likely to hit a cloud of interstellar gas or dust. first after traveling outward for a while.

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It takes 3.6 seconds for the keys to hit the ground below. To solve this problem, we need to use the equation for the vertical displacement of an object in free fall,

y = y0 + v0y*t + 0.5*g*t^2
where y is the final vertical position, y0 is the initial vertical position, v0y is the initial vertical velocity, g is the acceleration due to gravity, and t is the time.

In this case, we want to find the time it takes for the keys to hit the ground, so y = 0. The initial vertical position is 64 m, the initial vertical velocity is 0 (since the keys were thrown horizontally), and the acceleration due to gravity is -9.8 m/s^2.

Plugging these values into the equation, we get:
0 = 64 + 0*t + 0.5*(-9.8)*t^2

Simplifying and rearranging, we get:
4.9*t^2 = 64
t^2 = 64/4.9
t = sqrt(64/4.9)

So the time it takes for the keys to hit the ground is:
t = 3.6 seconds

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Answer:

Digital thermometers are more reliable in the modern world today.

Explanation:

Digital thermometers provide faster results. Digital thermometers provide fast results as opposed to mercury thermometers whose readings are slower to realize because you have to wait for the mercury to heat and then slowly rise to display the temperature.

Answer:

first class lever

in a first class lever fulcrum is b/w input and output force

A copper wire with a length of 50cm conducts a current of 1.5 A and perpendicular to a magnetic field of 0.5 T, then the magnetic force acting on the wire is calculated as 0.375 N.

Magnetic force is a consequence of the electromagnetic force which is one of the four fundamental forces of nature, and it is caused by the motion of charges.

Given : B=0.5T   L=50 cm =0.5m    I=1.5A

As we know that the copper wire is perpendicular to the magnetic field, therefore angle will be 90 degree

∴  We use the formula, F = I*L*B*sin(theta)

= 1.5 * 0.5 * 0.5 sin(90°)

So, Magnetic force = 0.375 N

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This means that the roller coaster is decelerating at a rate of 8m/s² until it comes to a complete stop.

Decelerating is the process of slowing down or decreasing the speed of a vehicle, person, or object. It is the opposite of accelerating, which is the process of increasing speed. Deceleration can be caused by the force of friction from the road or other surfaces, or by reducing the amount of engine power or braking. Deceleration is necessary to safely slow down and stop a vehicle and to negotiate turns or curves in the road.

The acceleration of the roller coaster can be calculated using the equation
a = (Vf - Vi)/t, where Vf is the final velocity, Vi is the initial velocity, and t is the time taken for the change in velocity to occur.
In this case, Vf = 0m/hr, Vi = 80m/hr, and t = 10s.
Therefore, the acceleration of the roller coaster is -8m/s².
This means that the roller coaster is decelerating at a rate of 8m/s² until it comes to a complete stop.

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Answer:it can be putting right a wrong by compensation or compensation for injuries sustained; recovery or restitution for harm or injury; damages or equitable relief. Right to redress refers to the right to a relief or remedy.The right of redress is a capability that anyone should be able to exercise if they consider they are not being treated in ways that are congruent with their status as an individual person worthy of respect.

Explanation: I hope this helps I tried my best<33

Answer:

d.

The consumer has the right to fair settlement of disputes

Explanation:

Answer: the block at the right lands first

Explanation:

If we release the hanging blocks simultaneously from rest, and if the ropes do not slip, which block lands first towards the right.

The system exhibits a motion about an axis that vertically represents the center axis. Such a type of motion is exhibited in the system known as the rotating system.

From the given conditions the two identical movable masses are positioned at different distances from the axis of rotation.

If we release the hanging blocks simultaneously from rest, and if the ropes do not slip, which block lands first toward the right.

Because the center of mass of the block is towards the right and the net force acting on the system is also towards the right.

Hence if we release the hanging blocks simultaneously from rest, and if the ropes do not slip, which block lands first towards the right.

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The matching strand for the genetic code CGA would be D. GCT.

In DNA, the base pairs are formed between complementary nucleotides. Adenine (A) pairs with thymine (T), and cytosine (C) pairs with guanine (G).

Given the genetic code CGA, we need to determine the matching strand.

The complementary strand is formed by pairing each base with its complementary base.

For CGA, we have:

C pairs with G

G pairs with C

A pairs with T

So, the matching strand for the genetic code CGA would be GCT.

Thus, in the given example, the matching strand for the genetic code CGA is GCT. This means that on the opposite strand of the DNA double helix, the sequence would be TGC. The complete sequence given TGC GGG TAT GCT represents one side of the DNA double helix, with its complementary strand having the sequence CGA CCC ATA CGA. Therefore, Option D is correct.

The question was incomplete. find the full content below:

The base T pairs with A, and C pairs with G. If the genetic code is CGA, what would be the matching strand?

A. TGC

B. GGG

C. TAT

D. GCT

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Answer:

a = 32^2 / 56 = 2.29 m/s^2.

Explanation:

To find the car's centripetal acceleration, we need to use the formula a = v^2 / r, where a is the centripetal acceleration, v is the speed of the car, and r is the radius of the curve.

In this case, the car's speed is 32 m/s and the radius of the curve is 56 m, so the centripetal acceleration would be a = 32^2 / 56 = 2.29 m/s^2.

Answer:

True

Explanation:

The object is at rest, which means it's not moving, so there is no net force on it, according to Newton's First Law.

Answer:

Answer:

Explanation:

Explanation:

I think its D.

The magnitude of the net force on particle Q₂ is  6.487 x 10⁶ N.

The net force on particle Q₂ is obtained by applying Coulomb's law of electrostatic force.

Force between Q₁ and Q₂;

F₁₂ = kq₁q₂/r²

where;

F₁₂ = (9 x 10⁹ x 20.5 x 10⁻³ x 9.3 x 10⁻³)/(0.98)²

F₁₂ = 1.787 x 10⁶ N

Force between Q₂ and Q₃;

F₂₃ = kq₂q₃/r²

F₂₃ = (9 x 10⁹ x 9.3 x 10⁻³ x 31.6 x 10⁻³)/(0.75)²

F₂₃ = 4.7 x 10⁶ N

The net force on particle Q₂;

F(net) = F₁₂ + F₂₃

F(net) = 1.787 x 10⁶ N +  4.7 x 10⁶ N

F(net) =  6.487 x 10⁶ N

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50.545 degrees with a positive x-axis and a weight of 133.909 pounds. the direction and strength of these forces' combined effect

A modest but significant amount of a certain characteristic is present in anything if it has a degree of that attribute. However, their salaries do provide them some freedom. There is some cause for cautious optimism.

Degree (Celsius) (Celsius) Temperature readings are frequently made in degrees Celsius. Degrees Celsius are denoted by the sign °C. By designating 0°C as the freezing point of water and 100°C as its boiling point, the Celsius scale is produced.

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By applying the density formula, it can be concluded that the volume of the iron is 5.89 dL.

Density is a measurement of the mass per unit volume of an object.

ρ = m / v  where

m = mass

v = volume

An iron has:

ρ = 7.86 g/cm³ = (7.86 * 10⁻³) kg / 10⁻² dL = 7.86 * 10⁻¹ kg/dL

m = 4.63 kg

So the volume (in dL) can be calculated as follows:

Volume = mass / density

             = 4.63 / 7.86 * 10⁻¹

             = 5.89 dL

Thus the volume of the iron is 5.89 dL.

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