PLEASE HELP! I AM SO LOST! BRAINLIEST AND 40 PTS!

The tension in cable B is 87.5 N, see the computation in the section below

Tension in cable A = 800sin30 = 400 N

Tension in cable B = 800cos30 = 693.33 N

Total Tension = 400 + 693.33 = 1093.33 N

Tension in cable B = 1093.33 - 800 = 293.33 N

Tension in cable B = 293.33/2 = 87.5 N

The tension in cable B, attached to an adjoining building, is 87.5 N in order to hang a sign weighing 800 N so that cable A, attached to the store, makes a 30.0° angle.

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Asteroid A has a kinetic energy of 94,000,000 J.

Such a body is predicted to strike the planet once per million years or so and produce energy about equal to 10,000 megatons of TNT, slightly more than the energy released during a nuclear war and sufficient to trigger a nuclear winter scenario (see graph above).

The following equation determines an object's kinetic energy:

KE = 0.5 * m * v².

Then, we could type:

m_A = 5.0 * m_B (mass of Asteroid A)

v_A = 2.0 * v_B (velocity of Asteroid A)

Asteroid B's kinetic energy is listed as 4,700,000 J. When we substitute the mass and velocity estimates for asteroid B, we obtain:

KE_B = 0.5 * m_B * v_B² = 4,700,000 J

Solving for the mass of Asteroid B, we get:

m_B = 2 * KE_B / v_B²

The equation for the mass of asteroid A is given by replacing this expression for m B with m A = 10 * KE B / v B².

The following results are obtained by substituting the two asteroids' masses and velocities in the kinetic energy formula:

KE_A = 0.5 * m_A * v_A²

= 0.5 * (10 * KE_B / v_B²) * (2 * v_B)²

= 20 * KE_B

As a result, asteroids A and B have kinetic energies that are 20 times greater than each other.

KE_A = 20 * 4,700,000 J

= 94,000,000 J

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(i) The total force acting on the train is the driving force minus the total resistance to motion. The total resistance to motion is the sum of the resistances of the three trucks. Therefore, the total force acting on the train is:

F = 37,000 N - (1,200 kg + 900 kg + 600 kg) ₓ 9.8 m/s² = 37,000 N - 25,740 N = 11,260 N

The acceleration of the train is given by the formula:

a = F / (m1 + m2 + m3) = 11,260 N / (1,200 kg + 900 kg + 600 kg) = 0.3 m/s²

Therefore, the acceleration of the train is 0.3 m/s².

(ii) The forces acting on truck Z are the driving force, the force in the coupling between trucks Y and Z, and the resistance to motion of truck Z. The diagram showing all the forces acting on truck Z in the line of its motion is:

Driving force ≥ Truck Z ≤ Force in coupling Y and Z ≤ Resistance to motion of truck Z

(iii) With the driving force removed and brakes applied, the total resistance to motion is the sum of the resistances of the three trucks and the additional resistance due to the brakes. Therefore, the total resistance to motion is:

R = (1,200 kg + 900 kg + 600 kg) ₓ 9.8 m/s²+ 11,000 N = 25,740 N + 11,000 N = 36,740 N

The total force acting on the train is the total resistance to motion. Therefore, the acceleration of the train is:

a = F / (m1 + m2 + m3) = 0 / (1,200 kg + 900 kg + 600 kg) = 0 m/s²

Therefore, the new acceleration of the train is 0 m/s².

(iv) When the brakes are applied to the engine, the force in the coupling between trucks Y and Z is equal to the resistance to motion of truck Z. Therefore, the force in the coupling between trucks Y and Z is:

F = 600 kg ² 9.8 m/s² + 11,000 N = 5,880 N + 11,000 N = 16,880 N

The force in the coupling between trucks Y and Z is a tension.

When the brakes are applied to truck Z, the force in the coupling between trucks Y and Z is equal to the resistance to motion of truck Z plus the resistance to motion of the engine and the trucks in front of truck Y. Therefore, the force in the coupling between trucks Y and Z is:

F = (600 kg + 900 kg + 1,200 kg) ₓ9.8 m/s² + 11,000 N = 17,640 N + 11,000 N = 28,640 N

The force in the coupling between trucks Y and Z is a thrust.

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Answer:

This is an open system

Explanation:

By the definition

"An open system is a system that has flows of information between the system and its environment, and which adapts to the exchange"

In the above diagram

The system and the surroundings are interacting

Hence it is an open system (Option 3)

Hope it helps

Please mark brainliest :)

Explanation:

most would say "closed system". so, this is the correct answer, although I personally disagree with that term.

an open system allows matter and energy to be exchanged with the surroundings.

a closed system allows energy to be exchanged with the surroundings. and this contradicts in my opinion the word "closed". not to forget : matter is energy and energy is matter.

an isolated system exchanges neither matter nor energy with the surroundings. there is no such thing like a 100% isolated system (except maybe - MAYBE - the whole universe).

there are semi-open systems in various branches of engineering, but I am not aware of such a generic system type in general physics.

The train's displacement in the first 5.39384 s of motion is 24.0 m.

We can use the kinematic equation:

v = u + at

where:

v = final velocity = 12.2844 m/s

u = initial velocity = 0 m/s (train starting from rest)

a = acceleration

t = time = 7.06 s

Solving for acceleration:

v = u + at

a = (v - u) / t

a = (12.2844 m/s - 0 m/s) / 7.06 s

a = 1.736 m/s²

Now, we can use another kinematic equation to find the displacement in the first 5.39384 s:

s = ut + 0.5at²

where:

s = displacement

u = initial velocity = 0 m/s

a = acceleration = 1.736 m/s²

t = time = 5.39384 s

s = 0 + 0.5(1.736 m/s²)(5.39384 s)²

s = 24.0 m

Therefore, the train's displacement in the first 5.39384 s of motion is 24.0 m.

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Explanation:

The distance the force is applied over while using the machine.

The star has a luminosity that is approximately 195.8 times that of the Sun.

The luminosity of a star is directly proportional to its mass to the power of approximately 3.5. This relationship is known as the mass-luminosity relation. Using this relation, we can calculate the luminosity of the star relative to the Sun as follows:

L_star/L_sun = (M_star/M_sun)^3.5

where L_star is the luminosity of the star, M_star is the mass of the star, L_sun is the luminosity of the Sun, and M_sun is the mass of the Sun.

Substituting the given values, we get:

L_star/L_sun = (6.6)^3.5

Using a calculator, we find:

L_star/L_sun = 195.8

Therefore, the star has a luminosity that is approximately 195.8 times that of the Sun.

What is luminosity?

Luminosity is a measure of the total amount of energy emitted by a star, galaxy, or other astronomical object per unit time. It is a fundamental property of an astronomical object and is related to its size, temperature, and composition.

Luminosity is often compared to the concept of brightness, which is a measure of the amount of light received by an observer from an astronomical object.

Luminosity is typically measured in units of watts (W) or solar luminosities (L☉), where one solar luminosity is equal to the luminosity of the Sun (about 3.828 x 10^26 W).

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(a) The initial momentum of the ball of mass 0.045 kg is 0 kgm/s.

(b) The final momentum after the ball was hit is 1.215 kgm/s.

(c) The change in momentum of the ball is 1.215 kgm/s.

Momentum is the product of mass and velocity

(a) To calculate the initial momentum of the ball, we use the formula below

Where:

From the question,

Given:

Substitute these values into equation 1

(b) To calculate the final momentum after the ball was hit, we use the formula below

Where:

Substitute into equation 2

(c) To calculate the change in momentum of the ball, we use the formula below.

Where:

Substitute into equation 3

Hence, The Initial momentum, final and change in momentum of the ball is 0 kgm/s, 1.215 kgm/s, 1.215 kgm/s respectively.

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Answer:

Complementary Angles and Supplementary Angles: Differences and Definitions

Complementary angles and supplementary angles are two common types of angles in geometry. Although they are related concepts, they have different definitions and properties. Here is a brief explanation of the differences between complementary angles and supplementary angles:

Complementary Angles:

Complementary angles are two angles whose sum is equal to 90 degrees. In other words, when two angles are complementary, they add up to a right angle. Complementary angles are denoted as "∠A" and "∠B", where ∠A + ∠B = 90°.

For example, if one angle measures 30 degrees, the complementary angle would measure 60 degrees, since 30 + 60 = 90. Another example of complementary angles would be 45 degrees and 45 degrees, since 45 + 45 = 90.

Supplementary Angles:

Supplementary angles are two angles whose sum is equal to 180 degrees. In other words, when two angles are supplementary, they add up to a straight angle. Supplementary angles are denoted as "∠C" and "∠D", where ∠C + ∠D = 180°.

For example, if one angle measures 60 degrees, the supplementary angle would measure 120 degrees, since 60 + 120 = 180. Another example of supplementary angles would be 90 degrees and 90 degrees, since 90 + 90 = 180.

Differences:

The main difference between complementary angles and supplementary angles is the sum of their measures. Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees. Another difference is the types of angles that they form. Complementary angles form a right angle, while supplementary angles form a straight angle.

In conclusion, complementary angles and supplementary angles are two common types of angles in geometry. Complementary angles add up to a right angle of 90 degrees, while supplementary angles add up to a straight angle of 180 degrees. Understanding the differences between these types of angles is essential for solving problems in geometry and trigonometry.

Explanation:

Answer:

complementary angles start from 90 degree and supplementary start after 180 degree

A skier has potential energy when they first start out. She only has kinetic energy just at bottom of the hill. At first, the skier is at rest, and all of his energy is potential energy.

Gravity transforms the ball's potential energy into motion as it roll down the ramp, such that when it reaches the bottom of a loop, its energy was zero and its velocity ((1/2)mv2) is at its highest.

When the child reaches the bottom of a slide, they have both thermal and kinetic energy since a portion of the energy is heated by friction. We can make the energy merely at the beginning to finish equal in accordance with the energy conservation legislation.

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1.Luminous Intensity-It can be expressed as luminous intensity with a unit known as Candela.

2.Light Ray- It refers to the light traveling in one direction in a straight line.

3.Incident Rays- Rays of light that point towards and strike a surface.

4.Candela- It is the fundamental unit of luminous intensity.

5.Transparent-Allow light to easily pass through.

6.Dispersion-It is the process of splitting white light into its constituent colors ROYGBIV.

7.Refracted Rays-Rays that formed when a light goes through a surface and bend due to a change of material.

8.Opaque- It does not let light pass through.

9.Photometry-It refers to the amount of light power emanating from a point source within a solid angle

10.Brightness-It deals with the measurement of visible light as perceived by the human eye.

11.Translucent- Allow light to pass through but distant the light during the passage.

12.Beam of light-It is a group of rays given out from a source.

13.Non-Luminous Objects- These are objects that cannot emit their own light.

14.Reflected Rays- Rays of light that bounce off of a surface.

15.Non-Luminous Objects-Those that cannot emit their own light.

Luminous intensity is a measure of the amount of light emitted from a point source in a particular direction per unit time. It is expressed in the SI unit of candela (cd).

Luminous intensity is a fundamental concept in photometry, which is the study of the measurement of visible light as perceived by the human eye. The luminous intensity of a light source depends on various factors such as the amount of power it emits, the wavelength of light, and the efficiency of the source in converting electrical energy into light.

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A- When preparing breakfast, Lola undergoes the following physical changes: Butter the bread and fries the bacon. oranges are squeezed for orange juice

Butter the toast: The heat of the toast causes the butter to gently melt when Lola spreads it on the bread. This is a physical modification because it only modifies the butter's and toast's physical characteristics, not their chemical makeup.

Fry bacon: When Lola fries the bacon, the heat melts the fat and denatures and coagulates the proteins, giving the bacon a crispy quality. This is likewise a physical modification because it only modifies the bacon's physical characteristics, not its chemical makeup.

Oranges are squeezed to produce orange juice. The juice is drawn from the orange cells and separated from the pulp when Lola squeezes oranges.

A physical alteration is one in which just the substance's physical characteristics, such as shape, size, colour, or state, are altered. The substance's chemical makeup remains unchanged. The butter, bacon, and orange are all enduring physical modifications in the activities that Lola completes because they simply alter their physical characteristics without altering their chemical makeup. For instance, altering the physical qualities of things without altering their chemical makeup includes melting butter and bacon and extracting the juice from an orange.

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When an apple tree takes up water from the soil, it moves up through the roots, stems, and into the leaves. In the leaves, water is combined with carbon dioxide during photosynthesis to create glucose (sugar) and oxygen. Through transpiration, water is released from the leaves back into the atmosphere. This water vapor can then rise and eventually form clouds through a process called condensation, in which the water vapor cools and changes into liquid droplets or ice crystals. When the clouds become heavy with moisture, precipitation occurs, such as rain or snow, and the water droplets or ice crystals fall back to Earth. Therefore, a water molecule from an apple can eventually end up in a cloud and back to Earth through the natural water cycle.

Tide are waves on oceans. The 5th day tide are know as extreme and called the king or spring tide, while the 13th day tide are called the neap tide.

Tides are long waves that move across the oceans as a result of the moon's effect on the gravitational forces of the earth and, to a lesser extent, the sun.

The tides on day 5 are extreme because both the moon and the sun contribute equally to tide formation; these are known as spring or king tides. The diagram will be drawn so that the sun, moon, and earth are all in the same straight line.

The tides are not extreme on day 13 because the sun cancels out the moon tides. It is referred to as neap tide, which means "powerless tide." The diagram will depict all three (the sun, moon, and earth) arranged at a right angle.

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Since the lift force must act vertically upward, we can conclude that the lift force created by the propellers is acting vertically upward.

Since the helicopter is flying horizontally at a constant speed, we know that the net force acting on it must be zero.

The weight of the helicopter can be calculated as :

weight = mass x gravity

weight = 2750 kg x 9.81 m/s²

weight = 26977.5 N

Since the net force acting on the helicopter is zero, we can write:

forward force - backward force + lift force + weight = 0

Substituting the given values, we get

forward force - 7510 N + lift force + 26977.5 N = 0

Simplifying the equation, we get:

forward force + lift force = 7510 N - 26977.5 N

forward force + lift force = -19467.5 N

Since the helicopter is flying at a constant speed, we know that the forward force created by the propellers must be equal in magnitude to 7510 N. Therefore, we can write:

7510 N + lift force = -19467.5 N

Solving for the lift force, we ge:

lift force = -26977.5 N

Since the lift force must act vertically upward, we can conclude that the lift force created by the propellers is acting vertically upward.

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Answer: We get chemical energy from foods, which we use to run about, and move and talk  kinetic and sound energy  Chemical energies are stored in fuels which we burn to release thermal energy - this is one way of making electricity, see Electricity for more information



hope this helps

It is important to distinguish between the health benefits of the ackee fruit itself and the potential negative health effects of the oil used in cooking it with salt fish.

Ackee is actually a healthy fruit that contains good fats, including omega-3 and omega-6 fatty acids, which are important for heart health and brain function. It is also a good source of protein, dietary fiber, vitamins, and minerals, including vitamin C, calcium, and potassium.

However, it is true that the oil used to cook ackee with salt fish can be unhealthy, depending on the type of oil used. Traditional cooking methods often involve using oils high in saturated or trans fats, which can contribute to heart disease and other health problems. To make ackee dishes healthier, it is recommended to use healthier cooking oils, such as olive oil or coconut oil, and to limit the amount of salt fish used in the dish.

Overall, ackee is a healthy and delicious fruit that can be enjoyed as part of a balanced diet. However, it is important to be mindful of how it is prepared and cooked to ensure that it is not combined with unhealthy ingredients that can detract from its nutritional value.

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Answer:

The motion of objects in regard to other objects is called relative motion.

Explanation:

Relative motion is the motion of an object in relation to another object or point. It is the description of the movement of an object with respect to a frame of reference or another object in motion. The concept of relative motion is used to describe the motion of objects in everyday life, such as the motion of a car on a highway relative to the motion of other cars or the motion of a person walking on a moving train relative to the motion of the train. The velocity and direction of an object's relative motion are determined by comparing its motion to the motion of a chosen reference point or object.

Hope this is helpful

Answer:

R (total) = 46,3 Ω

V1 = 16,25 V

V2 = 19,11 V

V3 = 24,64 V

I (total) ≈ 1,3 A

I1 ≈ 1,3 A

I2 ≈ 1,3 A

I3 ≈ 1,3 A

Explanation:

Given:

V (total) = 60,0 V

R1 = 12,5 Ω

R2 = 14,7 Ω

R3 = 19,1 Ω

Since the whole circuit is connected in series, we can find the total resistance:

R (total) = R1 + R2 + R3

R (total) = 12,5 + 14,7 + 19,1 = 46,3 Ω

I1 = I2 = I3 = I (total) (since it's connected in series)

I (total) = V (total) / R (total)

I (total) = I1 = I2 = I3 = 60/46,3 ≈ 1,3 A

V1 = I1 × R1

V1 = 1,3 × 12,5 = 16,25 V

V2 = I2 × R2

V2 = 1,3 × 14,7 = 19,11 V

V3 = V (total) - V1 - V2

V3 = 60 - 16,25 - 19,11 = 24,64 V

The equivalent resistance, Rₜₒₜ can be obtained as follow:

Rₜₒₜ = R₁ + R₂ + R₃

Rₜₒₜ = 12.5 + 14.7 + 19.1

Equivalent resistance (Rₜₒₜ) = 46.3 Ω

We can obtain the total current, Iₜₒₜ as follow:

Current = Voltage / resistance

Iₜₒₜ = 60 / 46.3

Total current (Iₜₒₜ) = 1.3 A

Current in series connection is the same through out the circuit.

Iₜₒₜ = I₁ = I₂ = I₃ (series connection)

1.30 = I₁ = I₂ = I₃

Thus,

I₁ = I₂ = I₃ = 1.3 A

We can obtain V₁ as follow:

V = IR

V₁ = 1.3 × 12.5

Voltage 1 (V₁) = 16.3 V

We can obtain V₂ as follow:

V = IR

V₂ = 1.3 × 14.7

Voltage 1 (V₂) = 19.1 V

We can obtain V₃ as follow:

Vₜₒₜ = V₁ + V₂ + V₃

60 = 16.3 + 19.1 + V₃

60 = 35.4 + V₃

Collect like terms

V₃ = 60 - 35.4

V₃ = 24.6 V

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2.83 × 105 J of heat are transferred in this operation.

In the beginning, at temperature T1, a monoatomic ideal gas is contained in a cylinder with a frictionless piston. The gas is allowed to adiabatically expand until it reaches a temperature. T2 by abruptly releasing the piston. T1T2 is determined by if L1 and L2 are the lengths of the petrol column before and after expansion, respectively.

Q = nCv(T2 - T1)

where Q is the amount of heat transferred, n is the number of moles of gas, Cv is the molar specific heat at constant volume, and T2 and T1 are the final and initial temperatures, respectively.

n = 170 moles

Next, we need to find the molar specific heat at constant volume. Cv equals (3/2)R for a monoatomic ideal gas, where R is the gas constant. R = 8.31 J/(mol K) can be used to determine:

Cv = (3/2)*8.31 J/(mol K) = 12.5 J/(mol K)

Q = (170 mol)(12.5 J/(mol K))(175oC - 120oC) = 2.83 × 105 J

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Given:

Charge of balloon 1, q1 = 2.6 x 10^-6 C

Charge of balloon 2, q2 = 2.2 x 10^-7 C

Distance between the balloons, r = 0.75 m

Electric constant, k = 9 x 10^9 N m^2 C^-2

Unknown:

Electric force between the balloons, F

Formula:

Coulomb's Law: F = k * q1 * q2 / r^2

Substituting the given values into Coulomb's Law:

F = (9 x 10^9 N m^2 C^-2) * (2.6 x 10^-6 C) * (2.2 x 10^-7 C) / (0.75 m)^2

Simplifying the expression:

F = 6.05 x 10^-4 N

Therefore, the electric force between the two balloons is 6.05 x 10^-4 N, with three significant digits.

Answer:

The gravitational field strength at an altitude of 300 km above the surface of the earth can be calculated using the formula:

g = GM/(r+h)^2

where g is the gravitational field strength, G is the gravitational constant, M is the mass of the earth, r is the radius of the earth, h is the altitude above the surface of the earth.

Using the values:

G = 6.67 x 10^-11 N(m/kg)^2

M = 5.97 x 10^24 kg

r = 6.38 x 10^6 m

h = 3 x 10^5 m

we can calculate:

g = (6.67 x 10^-11) x (5.97 x 10^24)/((6.38 x 10^6 + 3 x 10^5)^2)

g = 8.62 m/s^2

This means that the gravitational field strength at an altitude of 300 km above the surface of the earth is about 8.62 m/s^2.

To calculate the weight of the astronaut at this altitude, we can use the formula:

F = mg

where F is the force of gravity (weight), m is the mass of the astronaut, and g is the gravitational field strength at this altitude.

Using the value: m = 70 kg, and g = 8.62 m/s^2, we get:

F = 70 x 8.62

F = 603.4 N

Therefore, the weight of the astronaut at an altitude of 300 km above the surface of the earth is about 603.4 N.

Answer:22.93 meters

Explanation: you take d=t/s and then divide

Answer: read your book or get a tutor man

Explanation:

The correct answer is 45 J, because in an isolated system, the total amount of energy remains constant.

The energy stored in the system before the slingshot went off and launched the rock must be equal to the energy stored in the system after the rock is launched, which is 45 J. Therefore, the correct answer is 45 J.

What is an isolated system?

An isolated system is a physical system that does not exchange any matter or energy with its surroundings. In other words, an isolated system is a closed system that does not allow the transfer of mass or energy across its boundary.

In an isolated system, the total amount of energy is constant. This means that energy cannot be created or destroyed, but it can be converted from one form to another. For example, if an isolated system contains a certain amount of thermal energy, this energy can be transferred from one part of the system to another, but the total amount of thermal energy in the system remains constant.

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Answer:The correct statement about electric charges is:

"An object with a negative charge and an object with a positive charge will attract each other."

Explanation:

*an object with a negative charge and an object with a positive charge will attract each other" this statement is true.

Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C.

Hence option B is correct.

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Answer:

Hey Buddy!

Explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Have a good day ~

Answer:

The formula for energy is E = mc²,where E is energy, m is mass, and c is the speed of light.

◉⁠‿⁠◉

The final velocities of the two blocks after the collision are:

Block 1: 2.32 m/s to the right

Block 2: 2.43 m/s to the left

We can use the conservation of momentum and the conservation of kinetic energy to solve this problem.

Since the collision is perfectly elastic, the total kinetic energy before and after the collision should be the same.

Let's first calculate the momentum of each block before the collision:

Momentum of block 1 = mass x velocity = 4.0 kg x 5.5 m/s = 22.0 kg m/s to the right

Momentum of block 2 = mass x velocity = 4.5 kg x (-2.5 m/s) = -11.25 kg m/s to the left

The total momentum before the collision is:

P_before = 22.0 kg m/s - 11.25 kg m/s = 10.75 kg m/s to the right

Now, let's use the conservation of momentum to find the velocity of the blocks after the collision. Since the momentum is conserved, the total momentum after the collision should also be 10.75 kg m/s to the right.

Let the final velocity of block 1 be v1 and the final velocity of block 2 be v2. Then we have:

Momentum of block 1 after collision = mass x velocity = 4.0 kg x v1

Momentum of block 2 after collision = mass x velocity = 4.5 kg x v2

Total momentum after collision = 4.0 kg x v1 + 4.5 kg x v2 = 10.75 kg m/s to the right

We also know that the total kinetic energy before and after the collision should be the same. The kinetic energy of a block is given by:

Kinetic energy = 0.5 x mass x velocity^2

The total kinetic energy before the collision is:

KE_before = 0.5 x 4.0 kg x (5.5 m/s)^2 + 0.5 x 4.5 kg x (-2.5 m/s)^2 = 30.625 J

The total kinetic energy after the collision is:

KE_after = 0.5 x 4.0 kg x v1^2 + 0.5 x 4.5 kg x v2^2

Since the collision is perfectly elastic, we know that the kinetic energy is conserved, so KE_before = KE_after.

Therefore, we can set these two equations equal to each other and solve for v1:

0.5 x 4.0 kg x (5.5 m/s)^2 + 0.5 x 4.5 kg x (-2.5 m/s)^2 = 0.5 x 4.0 kg x v1^2 + 0.5 x 4.5 kg x v2^2

Simplifying this equation gives:

15.875 = 2.0 v1^2 + 5.0625

10.8125 = 2.0 v1^2

v1^2 = 5.40625

v1 = ±2.32 m/s

Since block 1 was originally moving to the right, we can discard the negative solution and conclude that the final velocity of block 1 after the collision is:

v1 = 2.32 m/s to the right

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