a nasa orbiter recently captured craters and formations on mars that resembled the face of which animal?

To prevent the kid from slipping, static friction needs to be at least 1 coefficient.

A force called static friction prevents an object from moving along the path. This friction happens when two materials are slid over one another. Conflict is there all around us. For instance, when we walk, our feet are in contact with the ground.

Newton's second rule of motion can be used to calculate the amount of force needed to prevent the kid from slipping:

ΣF = ma

where ΣF is the sum of the forces acting on the child, m is the mass of the child, and a is the acceleration of the child. Since the child is not slipping, the force of static friction f must equal the force of gravity on the child Fg:

f = Fg

where Fg = mg, and g is the acceleration due to gravity.

The acceleration of the child can be expressed in terms of the angular acceleration of the merry-go-round, α, using the formula:

a = rα

where r is the distance of the child from the center of the merry-go-round.

The angular acceleration can be found from the time it takes for the merry-go-round to make one complete revolution, T, using the formula:

α = 2π / T

Substituting these values into the equations above, we get:

f = Fg

μs N = mg

μs mg = mg

μs = 1

To know more about static friction visit:-

https://brainly.com/question/13000653

#SPJ1

The following statement "The amount of energy required to remove an electron from an isolated atom or molecule is the Ionization potential. There is an ionization energy for each successive electron removed" is true.

A molecule is a collection of two or more atoms bound together by chemical bonds; depending on the context, the phrase may or may not include ions that meet this definition.

In quantum physics, organic chemistry, and biochemistry, the difference between ions and molecules is lost, and the term molecule is frequently used to refer to polyatomic ions. A molecule can be homonuclear, consisting of atoms of one chemical element, such as two atoms in the oxygen molecule (O2), or heteronuclear, consisting of more than one element.

To know more about Molecule here-

https://brainly.com/question/19922822

#SPJ4

Bone has a Young’s modulus of about 1.8 × 10¹⁰ Pa .Before breaking, the femur can withstand a compression of 5.5 mm.

To determine how much compression the femur can withstand before breaking, we can use the stress formula.

The stress is the force exerted per unit area (1.52  10⁸ Pa); the applied force is the area, which represents the femur's cross-sectional area. Since we already know the stress and the area

The following formula can be used to determine the femur's cross-sectional area: Force = Stress * Area

A = π × r²

where:

A is the cross-sectional area

r is the radius of the femur

The radius of the femur can be calculated by dividing the diameter by 2:

r = d / 2

d is the diameter of the femur

We can find the force:

Force = 1.52 × 10⁸ Pa × π × (d / 2)²

Deformation = Stress × Length / Young's Modulus

Length is the length of the femur (0.55 m)

Young's Modulus is the modulus of elasticity of the material (1.8 × 1010 Pa)

Deformation = 1.52 × 10⁸ Pa × 0.55 m / (1.8 × 10¹⁰ Pa)

Deformation = 0.0055 m = 5.5 mm

Learn more about compression:

brainly.com/question/7602497

#SPJ1

The object is moving away from the origin at a constant velocity.

option A.

Constant velocity refers to a situation in which an object moves at a constant speed in a straight line. This means that the magnitude of the velocity (i.e. the speed) of the object remains the same over time, while its direction may or may not change.

For example, a car moving at a constant 60 km/h on a straight road has a constant velocity.

Uniform velocity on the other hand, refers to a situation in which an object moves with a constant speed, but also changes its direction. I

In the graph, between 4 and 6 seconds, the object is moving at a constant velocity.

Learn more about constant velocity here: https://brainly.com/question/529176

#SPJ1

While a theory is a group of closely related phenomena or observations, hypothesis is a logical idea that can be tested.

How would you define hypothesis?

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true. In the scientific process, the hypothesis is developed before any pertinent research—aside from a basic background review—has been conducted.

In addition to explaining existing facts, a theory also enables scientists to forecast what observations they should expect to see if the theory is correct. Scientific hypotheses can be tested. A theory should be consistent with new data.

To learn more about hypothesis use:

https://brainly.com/question/606806

#SPJ1

The mass [tex]m_{2}[/tex] of the hanging block is 20 kg.

A body of coherent matter, typically of undefined form and structure, or maybe even a grouping of incoherent components, components, or things viewed as comprising one body.

Suddenness of movements or operation; promptness; quickness as well as mechanical the measured or counted at which a body's position changes in a specific direction.

For this it is important to assume a tension value, otherwise, it is impossible to determine the value of mass m, in Newton's second law equation.

According to the question,

Initial velocity, [tex]$V_o=0 \mathrm{~m} / \mathrm{s}$[/tex]

Time, t = 3 sec

We know,

[tex]$\Rightarrow y=v_o \times t+0.5 \times a \times t^2$[/tex]

By substituting the values,

0.01 = [tex]0.5 \times a \times(3)^2 \\[/tex]

a = 0.0022 m / [tex]\mathrm{s}^2[/tex]

Hence, T- mg = ma

or,

[tex]$\Rightarrow m & =\frac{T}{g-a} \\[/tex]

[tex]$& =\frac{196}{9.81-0.00222} \\[/tex]

= 20 kg

Therefore the answer is 20 kg.

For more questions on mass

https://brainly.com/question/14782980

#SPJ4

The frictional force acting on the box is just opposite to the normal force acting on the box by its weight. Here, the frictional force is,

Friction is a kind force that opposes the normal force acting on an object. The frictional force, is a resistive force having a negative sign always. The frictional force increases as the roughness of the surface through which the object is moving.

Here, the mass of the box m = 11.54 kg

angle of sliding  = 31.04 °

acceleration due to gravity of earth = 9.8 m/s²

The frictional force that opposes the motion of the box sliding down the surface is just opposite to the normal force on the box by its own weight.

F = - mg cosθ

  = - 11.54 kg ×  9.8 m/s² × 31.04°

  = -105.9 N

Therefore, the frictional force acting on the box is -105.9 N.

Find more on friction:

https://brainly.com/question/9450295

#SPJ1

If both the speed and stopping distance of a driver are doubled, the force exerted on the driver will be reduced by a factor of 2 (or 50%).

The force exerted on the driver when stopping a car is given by the formula:

[tex]F = (mv^2) / (2d)[/tex]

Where:

m = mass of the car

v = velocity of the car before braking

d = stopping distance

If both the speed and stopping distance of the car are doubled, then the new velocity and stopping distance will be 2v and 2d, respectively. Therefore, the new force exerted on the driver will be:

[tex]F' = (m(2v)^2) / (2(2d))[/tex]

[tex]F' = (4mv^2) / (4d)[/tex]

[tex]F' = (mv^2) / d[/tex]

Comparing this to the original formula for force, we can see that the new force exerted on the driver is simply half of the original force:

[tex]F' = (mv^2) / d = 1/2 * (mv^2) / (1/2 * d) = 1/2 * F[/tex]

For more such questions on force

https://brainly.com/question/862529

#SPJ4

The energy associated with movement is Kinetic Energy, while energy that is stored is Potential Energy.

Two types of energy—kinetic energy and potential energy—describe the condition of a system. While potential energy is the energy stored in an object or system based on its location or configuration, kinetic energy is the energy of motion.

The energy that an object has as a result of motion is known as kinetic energy. The formula KE=1/2mv2 can be used to calculate an object's kinetic energy, which depends on its mass and speed. In this instance, m stands for the object's mass and v for its speed. An object has more kinetic energy the faster it moves. For instance, a moving vehicle has more kinetic energy than a vehicle that is stationary.

On the other hand, potential energy is the energy that an object has as a result of its position or configuration. It is frequently referred to as the energy that a thing possesses as a result of its capacity for labor. Gravitational potential energy, or the energy an item has as a result of its position with respect to a reference point like the ground, is the most typical illustration of potential energy. A lower-altitude item has less gravitational potential energy than a higher-altitude object. PE=mgh, where m is the object's mass, g is the acceleration brought on by gravity, and h is the object's height above the reference point, is the formula for gravitational potential energy.

To know more about Kinetic vs Potential energy visit:

https://brainly.com/question/14959619

#SPJ4

The approximate arc length of one slice of pie when a pie is cut into 6 pieces if the diameter of the pie is 10 inches is 5π/3in.

Given the diameter of apple pie (d) = 10 inches

Then, the radius of each piece (r) = 10/2 = 5 inches

The number of apple pieces = 6

Let the angle made by each apple piece = θ

Let the arc length = L

We know that the circumference of the circle is represented as:

C = 2πR = 2π*5 (in) = 10π (in)

When a pie is sliced into six equal pieces, the circumference is also divided into six equal arcs, which equals 10π/6 (in) = 5π/3 (in)

To learn more about radius click here https://brainly.com/question/9098982

#SPJ4

complete question: A pie is cut into 6 pieces if the diameter of the pie is 10 inches. what is the approximate arc length of one slice of pie?

Pie = symbol

A- 10pie / 3

B- pie

C- 5pie / 6

D- 5pie / 3

Statement that is true about chemical reaction that forms acid rain : b)The bonds that break are between N and O in HNO2and between O and H in HNO3.

Acid rain is a acid deposition, which refers to the many ways in which acidity can move from atmosphere to Earth's surface. Acid deposition includes acidic rain as well as other forms of acidic wet deposition such as snow, sleet, hail, and fog.

HNO2 is less stable thus dissociates easily to HNO3 + NO + H2O and HNO3 is a strong acid. Therefore, when they react with H2O, they form acid rain.

To know more about acid rain, refer

https://brainly.com/question/22143130

#SPJ1

Note: The question given on the portal is incomplete. Here is the complete question.

Question: Which two statements are true about this chemical reaction that forms acid rain? 2NO2 + H2O--> HNO2 +HNO3

a) The bonds that form are between N and O in HNO2 between and between O and H in HNO3.

b)The bonds that break are between N and O in HNO2and between O and H in HNO3.

c)The bonds that break are between N and O in NO2 and between O and H in H2O.

d)The bonds that form are between N and O in NO2 and between O and H in H2O.

Answer:  The correct two answers are  :  

1.)  The BONDS that FORM are between N and O in HNO  2   and between O and H in HNO 3

2.)  The BONDS that BREAK are between N and O in NO2 and between H and O in H2O

Explanation:   I took the test.

The temperature of the beer if left out for 20 mins would be 53.1°F.

We can use Newton's law of cooling to estimate how warm the beer will be after 20 minutes. Newton's law of cooling states that the rate of change of the temperature of an object is proportional to the difference between the object's temperature and the temperature of its surroundings. In this case, the rate of change of the beer's temperature is:

d(T)/dt = k(T - T_s)

where T is the temperature of the beer, T_s is the temperature of the surroundings, and k is a constant of proportionality.

From the problem, we know that the initial temperature of the beer is T(0) = 35°F and that it warms up to T(3) = 40°F in 3 minutes. Therefore, we can use this information to find the value of k:

k = [T(3) - T(0)] / [(T(3) - T_s) * t] = [40 - 35] / [(40 - 70) * 3] = 1/30

Now we can use this value of k to estimate the temperature of the beer after 20 minutes:

T(20) - T_s = [T(0) - T_s] * exp(-kt) = (35 - 70) * exp(-(1/30)*20) = -35 * exp(-2/3) ≈ -16.9°F

Therefore, the temperature of the beer after 20 minutes will be approximately 70°F - 16.9°F = 53.1°F.

More on Newton's law of cooling can be found here: https://brainly.com/question/14643865

#SPJ1

The correct option is B. Her trajectory will her center of mass be 1.0 seconds later at the apex.

[tex]V = V_0 - g*t[/tex]

where,

[tex]V_0 = initial velocity[/tex]

acceleration due to gravity  = 9.8 m/s^2

t = 1.0 seconds

substituting the above values in the equation;

[tex]V_0 = 9.8 m/s + 9.8m/s^2*1.0 sec\\V_0 = 19.6 m/s[/tex]

**Hence after 1.0 sec the gymnast would almost reach 19.6 m as distance.

According to the trajectory of mass thrown uniformly,

[tex]H_(max)= v^2/ 2*g = 19.6^2/2*9.8 = 19.6 m[/tex] ----> indicates the mass reaches the peak after a time of 1.0 seconds

Speed is the directional velocity of an item in motion as an indication of its price of exchange in the role as located from a selected frame of reference and as measured through a specific widespread of time (e.g. 60 km/h northbound). speed is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of our bodies.

Velocity is a physical vector amount; both value and route are had to outline it. The scalar absolute value (magnitude) of velocity is referred to as pace, being a coherent derived unit whose quantity is measured in the SI (metric system) as meters according to 2nd (m/s or m⋅s−1). as an example, "five meters per 2d" is a scalar, while "five meters in keeping with 2d east" is a vector. If there may be a change in velocity, course, or both, then the object is said to be present process an acceleration.

To learn more about Velocity visit here:

brainly.com/question/30559316

#SPJ4

Complete Question:

If a gymnast leaves the ground with a vertical velocity of 9.81 m/s when doing a back flip, where in her trajectory will her center of mass be 1.0 sec later? Show the equation applied!

a) Approaching the apex

b) at the apex

c) descending from the apex

d) on the ground

e) not enough information

The speed of the plane in still air is 600 mph. the flight from Atlanta to san diego is against the wind and takes 4 hr. the return flight with the wind takes 3.5 hr.

Speed is calculated by dividing the distance traveled by the distance's travel time. The equation can be used to determine speed: Speed is defined as the product of distance divided by time, and the unit of speed is the product of distance divided by time.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Let x mph be the speed in still air. Then flight against the wind is at (x-40)mph and with the wind is (x+40)mph

3.5 (x+40) =4(x-40)

3.5x +140 = 4x - 160

3.5x - 4 x = -160 - 140

-0.5x = -300

x = 300/0.5

x = 600 mph

To know more about the speed visit;

https://brainly.com/question/13943409

#SPJ4

If the interior point of a triangle is equally spaced from its two sides, that point will be on the angle bisector of the angle created by the two line segments. Thus, option C is correct.

In geometry, an angle bisector is a line that divides an angle into two equal angles. A "bisector" is a tool that splits an object or form into two equal halves. A ray known as an angle bisector separates an angle into two identical segments of the same length.

The opposite side of a triangle is divided into two pieces by the angle bisector in proportion to the other two sides. I

A line known as a bisector divides an angle or a line into two equally sized segments. A segment's midpoint is always contained in the segment's bisector.

To separate or cut into two equal, or nearly equal, portions. Geometry. To split or cut into two equal pieces. To cut an angle in half. The location where the train lines cross or intersect the road.

Therefore, place the compass on the vertex of the angle.

Learn more about angle here:

https://brainly.com/question/13483156

#SPJ1

Answer: The voltage required to move a current of 2mA through a resistor with a resistance of 0.5 kΩ can be calculated using Ohm's law, which states that the voltage across a resistor is equal to the current flowing through it multiplied by the resistance:V = I * RV = 2mA * 0.5 kΩV = 1VSo, the voltage required to move 2mA through 0.5 kΩ is 1 Volt.

If the dielectric is then removed, the capacitance of the capacitor decreases and the electric field between the plates increases.

When a parallel plate capacitor is charged with a dielectric between the plates using a battery, the charges on the plates are distributed in a way that results in a potential difference between the plates equal to the voltage of the battery. After the battery is removed and the capacitor is isolated, the charges on the plates remain fixed and the potential difference is maintained.

If the dielectric is then removed, there increase in electric field results in an increase in potential difference between the plates, and the amount of increase depends on the dielectric constant of the material used and the original capacitance of the capacitor.

To know more about the parallel plate capacitor, here

brainly.com/question/28446409

#SPJ4

As the turntable spins faster, the penny that is furthest from the turntable's centre will slide first.

Centripetal force increases as the turntable spins faster, exerting more force on the pennies. The centripetal force is proportional to the angular velocity squared and the angle of deflection from the turntable's centre. In other words, the penny that is farther away from the turntable's centre experiences a stronger centripetal force than the penny that is closer to it.

With the centripetal force, the frictional force between the pennies and the turntable likewise grows. Nevertheless, the coefficient of static friction—a feature of the surface where the pennies and turntable are placed—limits the frictional force. For the penny that is nearer to the turntable's centre than for the coin that is farther away, the coefficient of static friction

Learn more about frictional force here:

https://brainly.com/question/30280752

#SPJ4

Ball A has been in motion for 2.77 seconds when the two balls collide.

For ball A, use the second law of motion equation to find its displacement after 4 seconds,

[tex]y_A = (30)4 + \dfrac{1}{2}(-g)(4)^2[/tex]

yA = 41.6 m

Find the time it takes for ball B to reach the same height,

41.6 m = (30 m/s)t + (1/2)(-g)t^2

Solving this quadratic equation for t,

[tex]t = \dfrac{30 \pm \sqrt{(30)^2\times - 4\times (-4.9)(-41.6)}} {2(-4.9)}[/tex]

t ≈ 3.33 s or t ≈ 6.77 s

Therefore, the time elapsed for ball A when the two balls collide is,

tA = t - 4 s

tA = 3.33 s - 4 s

tA = -0.67 s (disregarded, since it is negative)

or

tA = 6.77 s - 4 s

tA = 2.77 s

To know more about the second law of motion, here

brainly.com/question/13447525

#SPJ4

The strap's tension needs to be changed to 4.11 N in order to deliver the required upward force, since there are no other forces acting in the upward direction.

To generate the required upward force, the tension on the strap must be adjusted, which equals T.

R²  = T²  + T²  - 2T² Cosθ

where;

The resulting force, R, is

5² = 2T²  - 2T² cos (75), where is the angle of inclination of the tension

25 = 1.482T²

T² = 25/1.482

T² = 16.87

T = √16.87

T = 4.11 N

In order to deliver the required upward force, the strap's tension must be set to 4.11 N.

This is due to Newton's third law, which states that for every action, there is an equal and opposite reaction. In this case, the force that the strap exerts on the chin (the action) must be equal and opposite to the force that the chin exerts on the strap (the reaction).

Therefore, to provide the necessary upward force of 5.00 N, the tension in the strap must be 4.11 N.

Learn more about tension here :

brainly.com/question/28536601

#SPJ4

The frequency of electromagnetic radiation with a wavelength of 745 nm appears as red light to the human eye is 2.66 x 10^-19 Joules.

Wavelength of the electromagnetic radiation = 745 nm = 7.45 x 10^-7 m

1m = 1 x 10^-9 nm

Energy of the photon will be given by Plank's equation:

E = hc / λ

E = 6.626 x 10^-34J[tex]\pi[/tex] x 3 x 10^8 m/s / 7.45 x 10^-7m

E = 2.66 x 10^-19 Joules

Electromagnetic radiation is a form of energy that travels through space in the form of waves. This energy is generated by the movement of electric and magnetic fields, which oscillate at right angles to each other. These waves can vary in their frequency, wavelength, and energy, and are classified based on their position on the electromagnetic spectrum.

At one end of the spectrum, we have low-energy, long-wavelength waves, such as radio waves and microwaves, which are commonly used for communication and heating applications. In the middle of the spectrum, we find visible light, which is the only portion of the spectrum that our eyes can detect. At the other end of the spectrum, we have high-energy, short-wavelength waves, such as X-rays and gamma rays, which can be harmful to living organisms in high doses.

To learn more about Electromagnetic radiation visit here:

brainly.com/question/4185163

#SPJ4

Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.

What is luminosity?
Luminosity is a measure of the amount of energy that is emitted by a star or other celestial object, usually measured in terms of its brightness. It is related to the star's surface area and temperature, as well as its distance from the observer. Luminosity is an important factor in determining the evolution of a star and its eventual fate.

Therefore, Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.

To learn more about luminosity

Here: https:brainly.com/question/26223390

#SPJ4

This is based on a location's latitude. As latitude rises, the sun's rays' angle with the earth's surface decreases, resulting in slanted sunrays. Vertical rays always cover less area than rays that are angled.

The amount of incoming solar energy that is accessible varies on the longitude, day of the year, time of day, and degree of cloud cover. The amount of solar energy received at a given latitude would not change throughout the year if the earth were not tilted from the vertical.

The solar radiation that reaches the surface of the earth is known as insolation. The quantity of solar energy absorbed per square centimeter every minute is used to calculate it.

Therefore, the amount of insolation (incoming solar energy) that is received each day mostly relies on. the Sun's angle above the horizon, also known as the solar incidence angle. the amount of time the surface is exposed to the Sun, as well as the atmosphere.

Learn more about solar radiation here:

https://brainly.com/question/16525532

#SPJ4

The property of light waves that causes the water around Easter Island to appear bluer than the surrounding water is called "scattering". Scattering occurs when light waves interact with particles in the atmosphere or in a medium such as water.

In the case of the water around Easter Island, the blue color is due to the scattering of sunlight by the water molecules in the ocean. Sunlight is composed of different wavelengths of light, and when it enters the ocean, the water molecules scatter the shorter, blue wavelengths more than the longer, red wavelengths. This means that more of the blue light is scattered in all directions, including towards the observer in the plane, making the water appear blue.

The blueness of the water is more noticeable around Easter Island because the island is surrounded by deep ocean water, which absorbs longer wavelengths of light and allows more of the blue light to be scattered. In contrast, the surrounding shallower waters or other parts of the ocean may have more particles, such as algae or sediment, that scatter more of the longer wavelengths of light, making the water appear a different color, such as green or brown.

Overall, the scattering of light waves by particles in the atmosphere or in a medium is a common phenomenon that can cause objects or substances to appear different colors to an observer. The specific color that is observed depends on the properties of the light waves, the properties of the particles, and the angle and distance of the observer.

Learn more about light waves here:

https://brainly.com/question/25588186

#SPJ4

The capacity to perform work, which entails applying force to move an object across a distance, is another definition of energy. Energy is moved from one item to another while work is done. Thus, option B is correct.

The definition of energy as the “power to accomplish work" refers to the capacity to apply a force that moves an object.

Any force that is exerted on an object, whether by a person or another object, is referred to as an applied force. An applied force is exerted on an object when someone pushes it across the room.

Energy is referred to by scientists as the capacity to work. Modern civilization is made possible by the discovery of how to change energy from one form to another and use it to complete activities.

Therefore, the ability to use an applied force to make an object move.

Learn more about energy here:

https://brainly.com/question/28727910

#SPJ1

The voltage drop across C1 is 10.0 V while C3 experiences a 3.33 V voltage drop in capacitors.

This is seen below. The total capacitance of a number of capacitors connected in this fashion can be calculated by adding the individual capacitances using the method described below: C1 + C2 + C3, etc. = CTotal. An illustration would be to calculate the total capacitance of these three parallel capacitors.

The voltage drop across each capacitor is 10.0 V / 3 = 3.33 V if the voltage drop across C1 is 10.0 V.

Given that C3 is one of the series-connected capacitors, the voltage drop across C3 would also be 3.33 V.

Consequently, if C1 experiences a 10.0 V voltage drop, the 3.33 V is the voltage drop across C3.

To know more about capacitors visit:-

https://brainly.com/question/17176550

#SPJ1

C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world

C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world. Science is concerned with understanding the natural world through observation and experimentation, while magic is a form of supernatural power that operates outside the laws of nature.

Lewis also believed that science and magic have different ethical implications. Science is morally neutral, while the use of magic often has negative consequences and can lead to a desire for power and control.

In his fiction, such as the Chronicles of Narnia series, Lewis often used the contrast between science and magic to explore larger philosophical and spiritual themes.

Learn more about Science and magic:https://brainly.com/question/15627083

#SPJ1

The final speed of block 1 is 2.4 times its initial speed, or [tex]2.4v[/tex]. The collision between two objects is said to be elastic if both the total momentum and the total kinetic energy are conserved.

In an elastic collision between two objects, both the total momentum and the total kinetic energy are conserved.

Let's consider the collision between block 1 and block 2. The mass of both blocks is the same, so we can write the conservation of momentum equation as:

[tex]m(4v) = m(v1f) + m(v2f)[/tex]

where 4v is the initial velocity of block 1, v1f is the final velocity of block 1, and v2f is the final velocity of block 2. Since block 2 is initially at rest, its initial velocity is zero.

Since the collision is elastic, the total kinetic energy of the system is conserved, and we can write the conservation of kinetic energy equation as:

[tex](\frac{1}{2})m(4v)^2 = (\frac{1}{2})m(v1f)^2 + (\frac{1}{2})m(v2f)^2[/tex]

Simplifying these equations, we get:

[tex]4v = v1f + v2f[/tex] (conservation of momentum)

[tex](\frac{16}{2})v^2 = (\frac{1}{2})v1f^2 + (\frac{1}{2})v2f^2[/tex] (conservation of kinetic energy)

Solving for v1f, we can substitute[tex]v2f = (4v - v1f)[/tex] into the second equation:

[tex](\frac{16}{2})v^2 = (\frac{1}{2})v1f^2 + (\frac{1}{2}) (4v - v1f)^2[/tex]

Simplifying and solving for v1f, we get:

[tex]v1f = (\frac{3}{5})4v \\ = 2.4v[/tex]

Therefore, the final speed of block 1 is 2.4 times its initial speed, or [tex]2.4v[/tex]

The collision between two objects is said to be elastic if both the total momentum and the total kinetic energy are conserved. This means that the momentum of the system before the collision is equal to the momentum of the system after the collision, and the kinetic energy of the system before the collision is equal to the kinetic energy of the system after the collision.

The law of conservation of momentum states that the total momentum of a system of objects remains constant if no external forces act on the system. In an elastic collision, the momentum of each object is conserved separately, so we can write the equation:

[tex]m1v1i + m2v2i = m1v1f + m2v2f[/tex]

where m1 and m2 are the masses of the two objects, v1i and v2i are their initial velocities, and v1f and v2f are their final velocities.

Learn more about collision here:

https://brainly.com/question/13138178

#SPJ4