A ball of mass 20 g moving at 10 m s¹ horizontally collides with another ball of mass 40 g that is at rest. After collision the 20 g ball has a velocity of 4 m s at an angle of 50° relative to its original direction. Calculate the total change in kinetic energy of the system. A. 1.21 x 10-21 B. -121 x 10-21 C. 112 x 10-2 D. 815 x 102 E. -518 x 10-1​

if two objects have 24 kg m/s of momentum before they collide, the total momentum of the system after the collision will also be 24 kg m/s.

What is collision ?

If there is no external force acting on a system, the overall momentum of that system stays constant, according to the law of conservation of momentum. As a result, the total momentum of the two items after the collision will equal the pre-collision momentum of the two objects, which is 24 kg m/s.

The combined momentum of the two objects will still be 24 kg m/s if we suppose that they keep together after the impact. The momenta will add up to 24 kg m/s, but they will have distinct magnitudes and directions if, on the other hand, the objects bounce off of each other and move away from the collision in opposing directions.

In order to specifically respond to your query, the overall momentum of Whether the two items stick together or bounce off one another, the combined weight of the two after the contact will be 24 kg m/s.

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The work done on the box, given that it moves 6.50 meters horizontally when a force of 25.72 N is applied is 144.78 J

Work is defined as the product of force and distance moved in the direction of the force. This is given as:

Work done (Wd)  = force (F) × distance (d)

Wd = fd

When certain angle projection is involved, the work done is given as

Wd = FdCosθ

The following data were obtained from the question:

The work done can be obtained as follow:

Wd = FdCosθ

Wd = 25.72 × 6.50 × Cos 30

Wd = 167.18 × Cos 30

Wd =  144.78 J

In conclusion, we can say that the work done is 144.78 J

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Magnitude and direction of a vector that is equal to a+b is 19m and 0.0° resp. Hence the correct option is C. magnitude 19 m direction 0.0°

Vector is a mathematical quantity which has both magnitude and direction.

Vectors are denoted with usual notation with an arrow upon it. for example, Force, Displacement, Velocity and Acceleration etc. are the vectors which has both magnitude as well as direction.

When two same vectors are acting at a point in two dimension. The magnitude of  resultant of this two vectors are given by,

R² = R₁² + R₁² +2R₁R₂cosθ......1

Where θ is the angle between them.

The direction of the resultant vector of two same vectors is given by the equation,

tanθ = (R₁ sinθ) ÷ (R₁ + R₂cosθ)......2.

In this picture, we have to find magnitude and direction of vector A+B, we have nothing to do with vector C.

vector A is at 37° from vertical, means 90-37 = 53° from positive x direction.

A = 12 m and 53°

B = 15m and 40°

angle between these two vectors are θ= 53+40 = 93°

magnitude of resultant of this two vectors are A+B which is given by the equation.

putting these values in equ. 1 we get,

R² = 12² + 15² +2(12×15)cos93°

R² = 350.15

R = 18.71 ≅ 19m ( magnitude)

From equation 2

tanα = (12 sin93°) ÷ (12+ 15cos93°)

tanα  = 0.8337

α  = 39.82° this angle is from vector B

so the angle of resultant from positive x axis is 40-39.82 = 0.17 ≅ 0.0°

Hence C is correct option is c: magnitude 19 m direction 0.0°

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From the dimensions, the volume of the block is 212.52 cm³. Then, the density of the block is its mass divided by the volume, that is 8.92 g/cm³.

Density of a substance is the measure of its mass per unit volume. Density of a substance describes how closely its particles are packed. Higher the mass within smaller volume, higher is the density.

given dimensions of the block of copper = 8.4, 5.5 and 4.6 cm

then volume v = l b h

v = 8.4 × 5.5 × 4.6 =  212.52 cm³.

mass = 1896 g

Then, density of the block of copper is determined as follows;

density = mass/volume

d = 1896 g/ 212.52 cm³

  =  8.92 g/cm³

Therefore, the density of the copper block is  8.92 g/cm³.

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Answer: 1. Intelligence

2. Creativity

3. Leadership

4. Empathy

5. Resilience

Explanation: NOW READ ONE PIECE MY SON

The value of magnetic induction is 0.667 T.

The EMF induced in a conductor traveling through a magnetic field is given by:

EMF = B x L x v

where B is the magnetic induction (measured in Tesla), L is the conductor's length (in meters), and v is its speed (in meters per second)

What we have here is

L = 60 cm = 0.6 m (because the length of the wire is specified in centimeters) (since the length of the wire is given in centimeters)

v = 5 m/s

EMF = 2 V

When these values are inserted into the equation, we obtain the following:

2 V = B x 0.6 m x 5 m/s

Calculating for B, we obtain:

B = 2 V / (0.6 m x 5 m/s) = 0.666... T

Thus, the magnetic induction is 0.667 T, rounded to three significant numbers.

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1. No, a portion of the innermost wave front shown in Figure 6 cannot be approximated by a plane wave because the wave front is curved, meaning that the wave does not travel in a straight line.

A wave is a disturbance that propagates through a medium, such as air, water, or a solid material. Waves are caused by a source of energy, such as a vibrating tuning fork or a stone thrown into a pond. Waves can also be generated by seismic activity, such as earthquakes. Waves are characterized by their wavelength (the distance between two successive crests or troughs), frequency (the number of waves generated per unit of time), and amplitude (the maximum displacement of the medium from its equilibrium position).

2. In Figure 7, the source of the ripple waves is moving to the right.
3. If the source of the waves in Figure 7 is stationary, then the ripple tank must be moving to the left.

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Using this information provided between the relationship between the period of oscillation for a pendulum and the amplitude of the oscillation, the solutions of the given problems are provided below.

A body hanging from a fixed point such that it may move back and forth while being pulled by gravity is called a pendulum.

The average period of the trials that were conducted with an amplitude of 10 degrees can be calculated by adding up the period values and dividing by the number of trials:

(1.66 + 1.70 + 1.71 + 1.68 + 1.72) / 5 = 1.69 s (rounded to two decimal places)

The average period of the trials that were conducted with an amplitude of 35 degrees can be calculated similarly:

(1.75 + 1.71 + 1.75 + 1.76 + 1.69) / 5 = 1.73 s (rounded to two decimal places)

Based on the data collected, the average period for an amplitude of 10 degrees is 1.69 s and the average period for an amplitude of 35 degrees is 1.73 s. This suggests that the period does increase with amplitude, consistent with the predicted relationship.

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To calculate the number of revolutions per minute required to create artificial gravity of 9.80 m/s² in a space station with a diameter of 770 m, we can use the formula for centripetal acceleration: a = (v²)/r

Where a is the centripetal acceleration, v is the velocity of the space station, and r is the radius of the space station. In this case, we want to solve for v, so we can rearrange the formula as: v = sqrt(a * r). Plugging in the given values, we get: v = sqrt(9.80 m/s² * 385 m), v = 62.39 m/s. To convert this to revolutions per minute, we need to know the circumference of the space station, which is: C = 2 * π * r, C = 2 * 3.14 * 385 m, C = 2415.4 m. So the number of revolutions per minute is: rev/min = v / C, rev/min = 62.39 m/s / 2415.4 m/rev * 60 s/min, rev/min = 1.56 rev/min. Therefore, the space station needs to make 1.56 revolutions per minute to create artificial gravity of 9.80 m/s².

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The mass of an object on which force is exerted which displaces 8m of distance and changes its velocity from 0 to 7.18 m/s is m=F/3.22.

Force(F) applied on the body is mass(m) times its acceleration(a).

i.e. F=ma

according to this equation we get acceleration as

a = F ÷ m this equation says that when we apply more force to the body, more acceleration it gets. When more is the mass of the body, greater force is needed to accelerate with same amount to that less mass.

Given,

Initial velocity u = 0 m/s

final velocity v= 7.18 m/s

Distance s = 8m

According to equation of kinematics,

v²=u²+2as

7.18²=2×8×a

a= 3.22 m/s²

F = ma

F= 3.22×m

m=F÷3.22

if force is given, we can calculate exact mass of an object.

Hence mass of an object is m=F/3.22.

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Answer:

A. A force can be a push or pull

D. A force can have mass or weight

The angle formed by cables AB and AC is approximately 72.4 degrees.

b^2 = a^2 + c^2 - 2ac cos A

Since the tower height is given as a = 58m, we can substitute this into the equation:

b^2 = 58^2 + c^2 - 2(58)(c) cos A

Simplifying, we get:

cos A = (c^2 + 58^2 - b^2) / (258c)

Now we can plug in the values given in the problem. Let's say cable AB has a length of 70m and cable AC has a length of 80m. Then we have:

cos A = (80^2 + 58^2 - 70^2) / (25880)

cos A = 0.292

Taking the inverse cosine of this value, we get:

A = 72.4 degrees

A cable is a flexible structure made of one or more long, thin, and strong wires or fibers. Cables are used to transmit forces, motion, or electricity between two points. They are widely used in engineering, construction, transportation, and power generation.

The strength and flexibility of cables depending on the material and structure used in their construction. Steel cables are commonly used for their strength and durability, while synthetic fibers such as nylon and kevlar are used for their flexibility and resistance to corrosion.

Cables are often used in tension, meaning that they are stretched between two points and used to transmit a pulling force. They can also be used in compression, where they are used to resist a pushing force.

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The magnitude of the resultant displacement of the caterpillar is 1.4m. Therefore, option B is correct.

The change in the position of an object is called displacement, it is the distance between starting and endpoints. It has both magnitude and direction, it is a vector quantity.

If a caterpillar climbs 1.3 m up a tree, then 0.72 m right, the magnitude of resultant displacement is given by:

H² = P² + B²

H² = (1.3)² + (0.72)²

H² = 1.69 + 0.51

H = [tex]\sqrt2.2[/tex]

H = 1.4m

Thus, the magnitude of the resultant displacement of the caterpillar is 1.4m. Therefore, option B is correct.

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The advantage of stored digital data that could also be a disadvantage is:

C. Information in stored digital data can be quickly changed.

What is Digital Data?

Digital data is any information that is stored or transmitted in digital form, usually as a series of binary digits (bits). This includes text, images, audio, video, and other types of data that can be represented using a series of 0s and 1s. Digital data is often created and processed using computers and other digital devices, and can be stored and transmitted using various types of digital storage media and communication channels.

While the ability to quickly change information in stored digital data can be advantageous for updating or correcting errors, it can also be a disadvantage if the information is changed inappropriately or maliciously. This can lead to inaccurate or false information being disseminated, potentially causing harm or confusion. Additionally, the ability to quickly change information can make it difficult to verify the accuracy or authenticity of the data. Therefore, while the ability to quickly change information in stored digital data can be beneficial, it is important to use caution and employ proper security measures to ensure the accuracy and integrity of the data.

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Answer: The cannon ball will hit the floor after 4.24 seconds. It will strike at a distance of 212m from the foot of cliff. As the object is travelling with the zero acceleration due to horizontal movement its final velocity will be 50m/s.

Yes, the point B floodplain shape. Because the flat region next to the river, which continues until it reaches the neighboring sloping terrain, is the goal of producing flood fields.

These fields are often level areas of land close to rivers, which allows for easy flooding during rainy seasons. Flood damage is lessened by the comparatively low elevation of the flat ground. By establishing floodplains, we can lessen the likelihood of flooding and the devastation it causes.

A productive agricultural field that may be utilized to generate food and other resources, the level terrain also offers the perfect environment for growing crops.

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The question is -

Would a floodplain form at point B? Why or why not?

The AMA (mechanical advantage) of a wedge is given by the ratio of the length of the sloping side of the wedge to its width. If the AMA of the wedge is 4, it means that the length of the sloping side of the wedge is four times its width.

The force exerted on the wedge depends on the load being lifted and the angle of the wedge; as the load increases, the force required to lift it also increases. However, the AMA of the wedge allows for the same load to be lifted with less force.

Force = Load / AMA

Hence, if the AMA of the wedge is 4, it means that the length of the sloping side of the wedge is four times its width.

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Answer:

well,,,,, it detecs smok and the smoke its a trigger

Explanation:

Answer: Binary fission

Explanation: Bacteria cells split into two using binary fission.

890 joules of heat are needed to heat 100 grams of ice from -7°C to 0°C.

Heat (in joules) = mass (in grams) x specific heat capacity (in joules/gram °C) x temperature change (in °C)

That is the expression can be clearly represented as

Heat = MC(T1-T2)

Substituting our given Data we have

Heat = 100 g x 2.09 J/g°C x 7°C

Heat = 890 J

A physical feature of matter known as heat capacity or thermal capacity is the quantity of heat that must be applied to an object in order to cause a unit change in temperature. J/K is the metric unit for heat capacity. A broad property is heat capacity.

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The correct explanation for the movement of the compass needle when the direction of the voltage on the battery is switched is (C) The current in the wire produced a magnetic field.

Voltage, also known as electric potential difference, is a measure of the electric potential energy per unit of charge in an electrical circuit. It is the force that drives the flow of electric charge in a circuit. Voltage is usually measured in volts (V) and is represented by the symbol "V".

When an electric current flows through a wire, it creates a magnetic field around the wire. The direction of the magnetic field depends on the direction of the current flow.

This magnetic field interacts with the Earth's magnetic field and causes the compass needle to move. Therefore, as the direction of the current in the wire changes when the voltage on the battery is switched, the direction of the magnetic field around the wire also changes, causing the compass needle to move.

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The equations of motion are:

[tex]v=u+at\\v^2=u^2+2as\\s=ut+\frac{1}{2}at^2[/tex]

Hence, the formula for distance (or displacement (s) ), time (t), and acceleration (a) to get to speed (u), is:

[tex]s = ut+\frac{1}{2} at^2[/tex]

The computed speed was found to be a number of 3.3333m/s

Given Data

We know that the expression for finding speed is given as

Speed = Distance/Time

Converting from km to m we have

m = 1*1000

Distance = 1000m

Converting from 5mins to seconds we have

300 seconds.

Now, Speed = 1000/300

Speed = 3.3333 m/s

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The amount of work (in Newton meters) that Helen did to get her car to the gas station is 4000 Newton meters

Work done is defined as illustrated by the formula given below:

Work done = force (F) × distance (d)

From the question given above, we were told that:

The work done by Helen can be obtained as shown below:

Work done = force (F) × distance (d)

Work done = 40 × 100

Work done = 4000 Newton meters

Thus, it is evident that the work done is 4000 Newton meters

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Acceleration due  to gravity of the spacecraft at a height of 6400 km from earth's surface is 2.45 m/s²

The acceleration of an object attained due to the gravitational force acting on it is called acceleration due to gravity.

Here,

The acceleration due to gravity on the surface of earth,

g = GM/R²

Acceleration due to gravity at a height h from earth's surface,

g' = GM/(R + h)²

So, g'/g = R²/(R + h)²

Therefore, g' = gR²/(R + h)²

Here, h = 6400 km = Radius of earth, R

so h = R

Therefore,

g' = gR²/(R + R)²

g' = gR²/4R²

g' = g/4 = 9.8/4

g' = 2.45 m/s²

Hence,

Acceleration due  to gravity of the spacecraft at a height of 6400 km from earth's surface is 2.45 m/s²

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Your question was incomplete, but most probably your full question was:

On the surface of the Earth the spacecraft falls at 9.8 m/s². What is the Spacecraft's acceleration at a height 6400 km from Earth?

Conversion of following units:

1. 946000000 mm= 946 km

2. 0.4m = 0.0004 km

3. 0.019m = 19 cm

4. 30,925,800 cm= 309.258 km

5. 0.002651 Lt.=  2.651 ml

6. 0.04854mm= 0.004854cm

Conversion of units is defined as the conversion between different units of measurement for the same quantity by means of multiplicative conversion factors, which change the value of the quantity being measured without changing its effect.

For above given example,

1. 1 Pound= 0.453592kg

So, 200 pounds will equals to 9.07185kg

2. One quarter = 25 cents

13 quarters will have 325 cents.

3. 1 minute= 60seconds

1 hour= 60 minutes= 3600 seconds

1 day= 24hrs or 86400seconds

So, 3days= 259200seconds

4. 1 mile/hr.= 0.44704m/s

So, 30miles/hr.= 13.4112 m/s

Thus, Conversion of following units:

1. 946000000 mm= 946 km

2. 0.4m = 0.0004 km

3. 0.019m = 19 cm

4. 30,925,800 cm= 309.258 km

5. 0.002651 Lt.=  2.651 ml

6. 0.04854mm= 0.004854cm

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Answer: inertia

Explanation:

he glass of water has inertia — it will not move unless a big enough force acts on it. The force in this activity pulling on the glass of water is the friction between the tablecloth and the glass.

Answer:

P V = N R T        describes an ideal gas

T2 / T1 = P2 V2 / (P1 * V1) = 4

T1 = 273 + 10 = 283        initial absolute temperature of gas

The acceleration of the sled pulled upwards on a hill by a horse is approximately 2.74 m/s^2.

To solve this problem, we need to first resolve the forces acting on the sled into components parallel and perpendicular to the surface of the hill.

The force of gravity acting on the sled can be resolved into two components:

The force perpendicular to the hill, which is equal to m * g * cos(15°)

The force parallel to the hill, which is equal to m * g * sin(15°)

The force of the horse pulling the sled can also be resolved into two components:

The force perpendicular to the hill, which is equal to F * cos(15°)

The force parallel to the hill, which is equal to F * sin(15°)

Since the sled is being pulled up the hill, the direction of motion is opposite to the direction of the force of friction. Therefore, the force of friction can be written as:

f = -μ * N

The net force acting on the sled is the sum of the forces parallel to the hill, which can be written as:

F_net = F_parallel - f = F * sin(15°) + μ * m * g * cos(15°)

Using Newton's second law, we can write:

F_net = m * a

Substituting the expressions for F_net and f, we get:

F * sin(15°) + μ * m * g * cos(15°) = m * a

Plugging in the given values, we get:

900 * sin(15°) + 0.10 * 250 * 9.81 * cos(15°) = 250 * a

Solving for a, we get:

a = (900 * sin(15°) + 0.10 * 250 * 9.81 * cos(15°)) / 250

a ≈ 2.74 m/s^2

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