Question 4 of 10
A 6.2 kg bowling ball that weighs 60.76 N is accelerating at 1.8 m/s2. After 2
seconds, it reaches a speed of 3.6 m/s. What is its momentum at this point?
A. 11.2 kg-m/s
B. 1.7 kg.m/s
C. 22.3 kg-m/s
D. 16.9 kg.m/s

Answer:

Explanation:

Force is a push or pull on an object that causes it to change velocity. Thus, the correct option is

C. A push or pull on an object

Answer:

push and pull

Explanation:

The net force on q1 is 9.94 N.

From Coulomb's Law, the force between two point charges is given by:

where;

All the charges have the same charge and magnitude and are separated by the same distance.

The force between q1 and q2 is:

F12 = (9 * 10⁹ N * m²/C²) * (-2.35 x 10⁻⁶ C)² / (0.100 m)²

F12 = 4.97 N

The positive sign indicates that the force is repulsive

Similarly, the force between q2 and q3 is:

(9 * 10⁹ N * m²/C²) * (-2.35 x 10⁻⁶ C)² / (0.100 m)²

F12 = 4.97 N

The positive sign indicates that the force is repulsive

The net force on q1 will be:

Fnet = F12 + F23

Fnet = 4.97 N + (4.97)

Fnet = 9.94 N

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12. The time taken for the journey is 400 s

13. The time taken for the train is 200 s

14. The time taken is 7 h

15. The time taken for the beetle is 12 s

16. The time taken for the journey is 0.0068 h

The time taken in each case as given by the question can be obtain as follow:

12. The time taken for the journey

Time taken = Distance / Speed

Time taken = 26000 / 65

Time taken = 400 s

13. The time taken for the train

Time taken = Distance / Speed

Time taken = 3200 / 16

Time taken = 200 s

14. The time taken to travel

Time taken = Distance / Speed

Time taken = 672 / 96

Time taken = 7 h

15. The time taken for the beetle

Time taken = Distance / Speed

Time taken = 1.08 / 0.09

Time taken = 12 s

16. The time taken for the journey

Time taken = Distance / Speed

Time taken = 35 / 5147

Time taken = 0.0068 h

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Answer:

it takes him 22.36 seconds to cover that distance

Explanation:

We can solve this problem using the kinematic equation for uniformly accelerated motion:

\(x_f-x_i=v_0*t\,+\,\frac{1}{2} a\,*\,t^2\)

which replacing the values given for our case becomes:

\(375=0*t\,+\,\frac{1}{2} (1.5)\,t^2\\375=\frac{1}{2} (1.5)\,t^2\)

and which solving for t gives:

\(375=\frac{1}{2} (1.5)\,t^2\\t^2=2*375/1.5\\t^2=500\\t=\sqrt{500} \\t \approx 22.36\,\,sec\)

Answer:

1st law of motion

Explanation:

it's newton's first law of motion.

Answer:

A C E

Explanation:

Answer:

Endurance, or aerobic

Strength, or resistance training

Balance

Flexibility

Explanation:

Answer:

Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).

Energy is a fundamental concept in physics that represents the ability or capacity of a system to do work.

It is a scalar quantity, meaning it has magnitude but no specific direction. Energy exists in various forms and can be converted from one form to another. The characteristics of energy include:

1. Forms of Energy: Energy can exist in different forms such as kinetic energy (energy of motion), potential energy (stored energy), thermal energy (heat), chemical energy, electrical energy, and many more.

2. Conservation of Energy: The law of conservation of energy states that energy cannot be created or destroyed; it can only be transformed from one form to another. The total amount of energy in a closed system remains constant.

3. Transfer and Conversion: Energy can be transferred from one object to another or converted from one form to another. For example, electrical energy can be converted into light energy in a light bulb.

4. Units of Measurement: Energy is typically measured in joules (J) in the International System of Units (SI). Other common units include kilowatt-hours (kWh) for larger quantities of energy and calories (cal) for thermal energy.

5. Energy and Work: Energy is closely related to the concept of work. When work is done on an object, energy is transferred to it or from it, resulting in a change in its energy state.

Understanding the nature and characteristics of energy is crucial in various fields, including physics, engineering, and environmental science, as it plays a central role in explaining and analyzing various phenomena and processes.

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Answer:

11.5

Explanation:

The speed of the running shaft driving the machine, given that the main shaft to drive the machine has a pulley of diameter 140 mm is 111.4 rev/min

First, we shall list out the given parameters from the question. Details below:

The speed of the running shaft can be obtain as shown below:

S₁D₁ = S₂D₂

183 × 140 = S₂ × 230

183 × 140 = S₂ × 230

25620 = S₂ × 230

Divide both sides by 230

S₂ = 25620 / 230

S₂ = 111.4 rev/min

Thus, we can conclude that the speed of the running shaft driving the machine is 111.4 rev/min

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A cell phone more likely to break when dropped from a higher height than a lower one because it has more potential energy at high height.

Potential energy is the energy stored by an object as a result of its position relative to other objects, internal tensions, electric charge, or other reasons.

Potential energy is commonly defined as an object's gravitational potential energy, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field. The joule is the SI unit of energy.

Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the word potential energy was coined by the 19th-century Scottish engineer and physicist William Rankine.

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Answer: NO, there are many examples of non-conservative forces.

Explanation: Conservatives forces are special forces whose work is zero in a closed path.

In the human cannonball act makes use of of a special type of "cannon" that more safely ejects a person who acts as the "cannonball"

The world record for the longest flight by a human cannonball is approximately 194 feet and therefore the human cannon catapult that Bobo would need is one that would be able to propel him with an initial velocity of more than 120 kilometer per hour (more than the speed of the current record holder) with the cannon directed at an angle 45 degrees above the horizonal

The reason the values given above are correct is as follows:

The world record of the furthest range of the human cannonball is 193 ft. 8.8 inches. The maximum claim for the furthest range of a human cannonball is 200 ft. 4 in. Therefore, to safely set the world record would be to reach a range of 194 feet

The speed with which the world record was accomplished (120 km/jhr)  should be expected to be exceeded given, horizontal speed in free fall motion is constant (decreasing in the presence of drag), and the conditions are likely to be more or less similar

In order to reach the furthest range, R, at the possible speed, the angle of inclination of the "cannon" required is 45°, according to the range formula, which is given as follows;

\(Range, \ R = \dfrac{v^2 \times sin(2\cdot \theta)}{g}\)

The maximum range is given where θ = 45, such that sin(2·θ) = sin(90°) = 1

A further range than the world record van be obtained using the above values

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Answer:

The velocity is \(v_n =14.09 \ m/s\)

Explanation:

From the question we are told that

    The velocity of the water in the pipe is  \(v_i = 1.0 \ m/s\)

     The pressure inside the pipe  is  \(P_i = 200000 \ Pa\)

      The pressure at the nozzle is  \(P_n = 101300 \ Pa\)

       The density of water is  \(\rho = 1000 \ kg / m^3\)

      For the height \(h_1 = h_2 = h\)

where  \(h_1\) is height of water in the pipe

  and  \(h_2\) is height of water at the nozzle

Generally Bernoulli equation is represented as

       \(\frac{1}{2} \rho * v_i ^2 + \rho * g * h_1 + P_i = \frac{1}{2} \rho v_n ^2 + \rho * g* h_2 + P_n\)

=>   \(\frac{1}{2} \rho * v_i ^2 + \rho * g * h + P_1 = \frac{1}{2} \rho v_n ^2 + \rho * g* h + P_2\)

Where \(v_n\) is the velocity of the water at the nozzle

Now  making  \(v_n\)  the subject

            \(v_n = \sqrt{\frac{2}{\rho} [ P_i - Pn + \frac{1}{2} \rho v_i^2}\)

substituting values

            \(v_n = \sqrt{\frac{2}{1000} [ 200000 - 101300 + \frac{1}{2} (1000 * (1.0)^2)}\)

           \(v_n =14.09 \ m/s\)

The velocity of the water exiting the nozzle is equal to 14.09 m/s.

Given the following data:

To calculate the velocity of the water exiting the nozzle, we would apply Bernoulli's equation:

Note: There's no change in height.

Mathematically, the velocity of the water exiting the nozzle is given by this formula:

\(V_n =\sqrt{\frac{2}{\rho} (P_i - P_n + \frac{1}{2} \rho v^2)}\)

Substituting the given parameters into the formula, we have;

\(V_n =\sqrt{\frac{2}{1000} (200000 - 101300 + \frac{1}{2} \times 1000 \times 1^2)}\\\\V_n =\sqrt{\frac{1}{500} (98700 + 500)}\\\\V_n =\sqrt{\frac{1}{500} (99200)}\\\\V_n =\sqrt{198.4}\)

Exit velocity = 14.09 m/s

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Answer:

S = Vy t + 1/2 g t^2 = 1/2 g t^2    vertical speed with zero initial speed

t = (2 S / g)^1/2      with g = 32 ft/sec^2

t = (900 / 32)^1/2 = 5.30 sec    time to reach ground

V = a t = 32 ft/s^2 * 5.30 s = 170 ft/sec

170 ft/sec / (88 ft/sec / 60 mph) = 116 mph           since 88 ft/sec = 60 mph

The term referring to is radioactive decay.

To answer the question, we need to know the half-life of the radioactive material. Let's assume the half-life is 10,000 counts.
After one half-life, the count would be halved to 40,000 counts. After the second half-life, the count would be halved again to 20,000 counts. After the third half-life, the count would be halved again to 10,000 counts. And after the fourth half-life, the count would be halved again to 5,000 counts.
So after 4 half-lives, we would expect the count to be 5,000.
After 4 half-lives, the remaining number of counts would be calculated by dividing the initial number of counts by 2 raised to the power of the number of half-lives. In this case:
Initial counts: 80,000
Number of half-lives: 4

Remaining counts = 80,000 / (2^4) = 80,000 / 16 = 5,000 countsSo, after 4 half-lives, you would expect to have 5,000 counts remaining.

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The value of \(K_c\) for the given reaction is  1.2 × \(10^{17}\).

Hence, the correct option is E.

The given reaction is,

2HI(g) + \(Cl_2\)(g) ⇌ 2HCl(g) + \(I_2\)(s)

As per the given data:

\([HCl]_{eq}\) = 0.13 M,

\([HI]_{eq}\) = 5.6 × 10-16 M,

[\(Cl_2\)\(]_{eq}\) = 0.0019 M

The expression for the equilibrium constant, \(K_c\) is given as:

\([HCl]^2[I_2]\:/\:[HI]^2[ Cl_2]\)

A chemical reaction enters a state of equilibrium or equilibrium concentration when the rate of forward reaction equals the rate of backward reaction.

Substitute the given equilibrium concentrations to obtain the equilibrium constant, \(K_c\);

\(K_c\) = \([0.13]^2[5.6 \times 10^{-16}]\: /\:[0.0019]^2\)

\(K_c\)  = 1.2 × \(10^{17}\)

The value of \(K_c\) for

2HI(g) + \(Cl_2\)(g) ⇌ 2HCl(g) + \(I_2\)(s) is 1.2 × \(10^{17}\)

So option E right choice.

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Buoyancy Force is the reason for the larger the diameter as the Larger the diameter larger the volume of log rolling and the higher the Buoyancy force which leads to floating the participants.

The floating of any dogy depends upon the Buoyancy force that the body is having or we can say the force which is applied on the water's surface to float on it. And However, Buoyancy depends on three things.

1. Gravitational pull(g)- the force applied by the planet to pull/attract ant mass towards itself. in the case of the earth, it is fixed which is 9.8 ms^-2.

2. The density(p)- It is the mass per volume of any liquid In the case of distilled water it is 997 kg/m³. It may barry for ocean water.

3. Volumn of the body(v)- It is the volume of the body which is floating on water.

So fb =  g*p*v where fb( Buoyancy force) is directly proportional to the volume of the body.

So the Greater the volume of the body higher it will float.

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Answer:

0.0552 m/s²

Explanation:

Given:

Δx = 69.0 m

v₀ = 0 m/s

t = 50 s

Find: a

Δx = v₀ t + ½ at²

69.0 m = (0 m/s) (50 s) + ½ a (50 s)²

a = 0.0552 m/s²

Answer:

Workdone = 113778 Joules

Explanation:

Given the following data;

Force = 903N

Distance = 126m

To find the workdone;

Workdone = force * distance

Substituting into the equation, we have

Workdone = 903 * 126

Workdone = 113778 Joules

Therefore, the amount of work, in joules, the gravity did on the asteroid is 113778.

Answer:

Ussually, soft metals. or solid objects that allow the flow of eletrons.

Explanation:

Electric Current is the flow of electrons through a wire or solution. In a solid the electrons are passed from one positively charged metallic atom to next but in solution the electron is carried by the ions present in the solution. A solution capable of carrying charge is called an electrolyte.

In solid conductors, electron mobility is responsible for the flow of electrical current.

Electron mobility is principally responsible for the flow of electrical current in solid conductors. The subatomic particles known as electrons orbit the atomic nuclei of atoms and are negatively charged. The outermost energy levels of the atoms in a solid conductor, such as a metal like copper or aluminum, have numerous free or loosely bound electrons.

The conductor experiences an electric field that pulls on the free electrons when an electric potential difference (voltage) across its ends is applied (for example, by connecting it to a battery or power source). The electrons are propelled by this force toward the direction of the electric field.

Hence, in solid conductors, electron mobility is responsible for the flow of electrical current.

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The charge of the particle on the aluminum rod is 9.26 x 10^-6 C.

When a charged particle moves through a magnetic field, it experiences a force known as the Lorentz force. The Lorentz force is given by the equation F = qvBsinθ, where F is the force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

In this scenario, an aluminum rod with a mass of 0.946 g is passed between the poles of a 0.41-T permanent magnet at a speed of 4.05 m/s at a 90o angle. Since aluminum is a conductor, it is expected that electrons in the metal will be free to move, allowing for a current to flow through the rod.

We can calculate the charge of the particle by using the equation F = ma, where F is the Lorentz force, m is the mass of the particle, and a is the acceleration of the particle.

The acceleration of the aluminum rod can be calculated using the equation a = F/m. Since the rod is moving at a constant velocity, the force due to air resistance can be ignored. Therefore, the force acting on the rod is solely due to the Lorentz force. Thus, we can write: a = F/m = qvBsinθ/m, Solving for q, we get: q = ma/vBsinθ = (0.946 x 10^-3 kg x 4.05 m/s)/(0.41 T x sin90o) = 9.26 x 10^-6 C.

Therefore, the charge of the particle on the aluminum rod is 9.26 x 10^-6 C.

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Answer:

.50 M

Explanation:

5*.50=2.5 + 2*.25=.5 = 3n

6*.50= 3N

Final answer is .50M

Answer: The mass of the second sphere is 8.76 kg

Explanation:

The equation for a perfectly inelastic collision follows:

\(m_1u_1+m_2u_2=(m_1+m_2)v\)

where,

\(m_1\text{ and }u_1\) are the mass and initial velocity of first sphere

\(m_2\text{ and }u_2\) are the mass and initial velocity of second sphere

v = final velocity of the system

We are given:

\(m_1=4.38kg\\u_2=0m/s\\v=\frac{u_1}{3}\)

Rearranging the above equation, we get:

\(m_1u_1-m_1v=m_2v\\\\m_2=m_1\frac{u_1-v}{v}\\\\m_2=m_1(\frac{u_1}{v}-1)\)

Plugging values in the above equation, we get:

\(m_2=4.38(\frac{3u_1}{u_1}-1)\\\\m_2=(4.38\times 2)=8.76kg\)

Hence, the mass of the second sphere is 8.76 kg

The pendulum will be moving at approximately 0.754 m/s when it passes through the lowest point of its swing.

To determine the speed of the pendulum when it passes through the lowest point of its swing, we can use the principle of conservation of mechanical energy.

At the highest point (2.9 cm above the resting position), the pendulum has gravitational potential energy. As it swings down, this potential energy is converted into kinetic energy, given by the equation:

Potential Energy (PE) = Kinetic Energy (KE)

The highest point's potential energy is given by:

PE = mgh

Where:

m = pendulum mass (4.0 kg).

g = acceleration due to gravity (9.8 m/s^2)

h = height above the resting position (2.9 cm = 0.029 m)

Substituting the values, we have:

PE = 4.0 kg * 9.8 m/s^2 * 0.029 m = 1.1356 J

Since energy is conserved, this potential energy will be completely converted into kinetic energy at the lowest point. Thus, the kinetic energy is also 1.1356 J:

KE = 1.1356 J

The following equation gives the kinetic energy:

KE = (1/2)mv^2

Where:

m = pendulum mass (4.0 kg).

v = velocity of the pendulum at the lowest point

Rearranging the equation to solve for v:

v^2 = (2KE) / m

v^2 = (2 * 1.1356 J) / 4.0 kg

v^2 = 0.5678 m^2/s^2

Taking the square root of both sides results in the following:

v ≈ 0.754 m/s

Therefore, the pendulum will be moving at approximately 0.754 m/s when it passes through the lowest point of its swing.

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Answer:

a. 44 km

b. 0 km/h

Explanation:

For part a, the faster boat finishes when the second turns around to come back.

For part b, the average velocity is zero because he travels forward (+) and then back (-). 44km/h - 44 km/h = 0 km/h

The two hypotheses that are testable are:

(B) Adding fertilizer to plants will cause them to grow at a faster rate.

(D) Plants that receive more light will grow at a faster rate.

What is Fertilizers?

Fertilizers are substances that are added to soil or plants to improve their growth and productivity. They are commonly used in agriculture and gardening to provide essential nutrients, such as nitrogen, phosphorus, and potassium, that plants need to grow and develop. Fertilizers can be derived from both natural and synthetic sources and can come in different forms, including granules, powders, and liquids.

Both of these hypotheses can be tested by conducting experiments and collecting data to determine whether or not the predicted outcomes occur. The other two hypotheses, (A) Plants that receive fertilizer grow the most beautiful flowers and (C) Plants that receive compost will taste better, may not be easily testable as the terms "most beautiful flowers" and "taste better" are subjective and not easily measurable.

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Answer:

a = 2.94 m/s²

Explanation:

In order for the cup not to slip, the unbalanced force on cup must be equal to the frictional force:

Unbalanced Force = Frictional Force

ma = μR = μW

ma = μmg

a = μg

where,

a = maximum acceleration for the cup not to slip = ?

μ = coefficient of static friction = 0.3

g = acceleration due to gravity = 9.8 m/s²

Therefore,

a = (0.3)(9.8 m/s²)

a = 2.94 m/s²

(a) The son pops the helium balloon (unchanged)

(b) The fisherman knocks the tackle box overboard and it sinks to the bottom (rises)

(c) The son finds a cup and bails some water out of the bottom of the boat (falls)

(d) The fisherman lowers himself in the water and floats on his back (unchanged)

(e) The fisherman lowers the anchor and it hangs one foot above the bottom of the pond (rises)

(f) The son gets in the water, looses his grip on the string, letting the balloon escape upwards (rises).

According to Archimedes principle, when a body is partially or completely immersed in a fluid, it experiences an upthrust which is equal to weight of to fluid displaced.

F = ρVg

V = F/ρg

where;

When an object with a significant weight is dropped into the pond, the level of water in the pond will rise and vice versa.

The water level in the pond will be Unchanged, since the weight of the balloon is almost insignificant.

The water level will rise because the weight of the tackle box is significant.

The water level will fall since some volume of water is being removed.

The water level will be unchanged, since nothing new is added into the pond.

The water level will rise because the anchor will displace some volume of water upwards when it is dropped inside the pond.

The water level will rise, because the balloon will displace the water upwards when it escape upwards.

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