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Answer: The relationship between current, voltage and resistance is expressed by Ohm's Law. This states that the current flowing in a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit, provided the temperature remains constant.

Explanation:

Yes, cycling up a hill is kinetic energy.

Kinetic energy refers to the energy of motion, which is observable as the movement of an object. Every move has kinetic energy. For instance, cycling up a hill can convert up to 90% of an individual's energy and movement into kinetic energy. The kinetic energy produced is then used to move the cycle up to the hill. Momentum, along with the balance of the rider, helps keep the cycle stable while traveling along the path up to the hill.

Therefore, it is concluded that cycling up a hill is kinetic energy.

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After the collision, the final velocity of both balls will be (2.00 + 3.60) m/s in the same direction.

The outcome of the two things applying force to one another. The kinetic energy of the two objects is transformed into the other forms, such heat or sound, when they contact. Both elastic and inelastic collisions exist. Both the colliding objects maintain their original energy in an elastic collision.

The first ball has kinetic energy of (1/2)mv² where m is the mass of the ball and v is the velocity. The second ball has kinetic energy of (1/2)m(3.60)²

After collision, the final velocity of both balls in the same direction can be calculated using the conservation of momentum.

m1v1 + m2v2 = m1v'1 + m2v'2

where m1,m2 are the mass of the balls, v1 and v2 are the initial velocities of the two balls and v'1 and v'2 are the final velocities of the two balls.

Given that the mass of the two balls is equal, you can simplify this equation as:

v1 + (-v2) = v'1 + v'2

and solving for v'1 and v'2 gives v'1 = (v1+v2) and v'2 = (v1+v2)

Therefore, after the collision, the final velocity of both balls will be (2.00 + 3.60) m/s in the same direction.

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The surface tension of the liquid is 24.1 g/m.

To determine the surface tension of the liquid, employ the formula:

surface tension = (extra force required) / (length of the film)

extra force required = 3.03 g

internal radius = 3 cm = 0.03 m

external radius = 3.2 cm = 0.032 m

The length of the film can be calculated as the circumference of the external ring minus the circumference of the internal ring:

length of the film = (2 * pi * external radius) - (2 * pi * internal radius)

= (2 * pi * 0.032 m) - (2 * pi * 0.03 m)

= 0.1257 m

Hence, the surface tension can be determined following our chosing formula:

surface tension = (3.03 g) / (0.1257 m)

= 24.1 g/m

It can then be concluded that the surface tension of the liquid is 24.1 g/m.

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A pile of gunpowder can represent chemical potential energy , while a flying pulley can represent mechanical kinetic energy.

Thermal energy is kinetic energy associated with the random motion of atoms and molecules. Temperature is a quantitative measure of “hot” or “cold.” When the atoms and molecules in an object are moving or vibrating quickly, they have a higher average kinetic energy (KE), and we say that the object is “hot.”

The specific heat capacity (c) of a substance, commonly called its “specific heat,” is the quantity of heat required to raise the temperature of 1 gram of a substance by 1 degree Celsius (or 1 kelvin)..

Like matter, energy comes in different types. One scheme classifies energy into two types: potential energy, the energy an object has because of its relative position, composition, or condition, and kinetic energy, the energy that an object possesses because of its motion.

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The force with which the second astronaut is pushing is 11.25 N in the problem given.

We have to note that force is a vector and because that force is a vector, we know that the direction of the force that has been applied is also very important.

As we know, it is clear that;

Force of an astronaut Fₓ = 42 N

Angle θ = 15º

Then we can write that;

F = 42 tan 15

= 11.25 N

Thus, the force that acts as the second astronaut is pushing is about 11.25 N.

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Answer:

  about 0.365 m/s

Explanation:

You want to know the velocity of an astronaut who starts from rest and fires a thruster that expels 35 g of gas at 875 m/s.

The total momentum of the system is the same before and after the thruster is fired: 0.

If v is the velocity of the astronaut, it must satisfy the equation ...

  (84)v +(0.035)(875) = 0

  v = -(0.035)(875)/(84) ≈ -0.3646

The velocity of the astronaut is about 0.365 m/s in the direction opposite of the expelled gas.

__

Additional comment

We have used (kg·m/s) as the units of momentum. 35 g = 0.035 kg. We have also assumed that the mass of the system before firing is a total of 84.035 kg

The shortest distant will be the diagonal of the square. The value of the diagonal of the square is 127.3 feet.

Square is a figure with a four sides that has the same value for each. The formula for its diagonal is sides√2. As per given sides is 90 feet. The calculation will be:

Diagonal = sides√2

Diagonal = 90√2

Diagonal = 90 x 1.41421356237

Diagonal = 127.279220613

Let round the value. So, the diagonal = 127.3 feet. You can also determine diagonal value from phytagoras theory by dividing the square into 4 triangle then calculate the diagonal.

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Meter is a metric unit of measure that measures length and distance because area is not any of the measurement unit.

We always measure the physical properties of a thing using particular units. For example, the unit for measuring your bodyʼs mass is the pound and the unit for measuring your height is inches. But, of course, itʼs not as simple as that. If you use the metric system you measure your mass in kilograms, not pounds, and you measure your height in centimeters.

And even if you measure your height in inches, you are probably mix two different units: feet and inches. Although we can measure the mass and lengths of the devices and we deal with in computer architecture, we are typically more interested in a third property.

Time (measurement unit: the second) and the related properties of period and its reciprocal, frequency. Furthermore, computers manipulate physical representations of information, which has its own measurement unit.

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The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics.

Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the phrase "potential energy" was coined by the Scottish engineer and physicist William Rankine in the 19th century. Potential energy is connected to forces that affect a body in such a way that their combined work is only dependent on the body's beginning and ultimate positions in space. At any point in space, these forces, also known as conservative forces, can be represented by vectors that are gradients of a particular scalar function known as potential.

The block has potential energy due to its position above the ground. The formula for potential energy is PE = mgh, where m is the mass of the object (7.9 kg), g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height above the ground (20 m).

So the potential energy of the cinder block is:

PE = (7.9 kg) x (9.8 m/s^2) x (20 m) = 1564 Joules

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The space station's mass and the pull of its gravitational field on the planet(D)

Astronaut is a term for a person who has travelled to space that is derived from the Greek words for "star" and "sailor." More specifically, space travellers from the United States, Canada, Europe, and Japan are referred to as "astronauts" in the West. An astronaut is a person who has received specialised training in order to travel to space. A spaceship's astronauts may do a variety of tasks. Typically, a commander and a pilot collaborate to lead the mission. Other positions could be science pilot, mission expert, payload commander, and flight engineer.

The astronaut does highly significant scientific research on Earth to advance technological advancement in addition to gathering samples, performing tests, and making minor repairs on spaceships and space stations. The study of space and even all the efforts made to escape the gravity of Earth have led to the production of items that we use every day as well as scientific theories that have altered our perceptions of space and our understanding of the origins of life on Earth.

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τnet = (TL ‐ TR)R is the needed net torque just on pulley about the axle.

A flexible line, cord, rope, chain, or belt is fastened to the rim of a wheel termed as a pulley. To transport motion and energy, pulleys may be employed singly or in combination.

If TL and TR are really the stresses pulling there at left and the sides of the pulleys, respectively, the net torque here on pulley would then be defined as net = (TL - TR)R, in which R represents the radius of pulley (see Fig. 1). It is believed that positive torque moves in a clockwise direction.

This means that  τnet = (TL ‐ TR)R is the necessary formula for net torque.

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Answer:

Force=mass × acceleration

or, acceleration=Force/mass

=2000/1500

:. Acceleration=1.33 m/s²

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Answer: A, B, and C

Explanation: A standard room-vacuuming robot doesn't unpack itself from the box it comes in.

The speed of countershaft drive gear is 225 RPM.  To find it, you have to compare both STM value.

To calculate the the speed of countershaft drive, we use the formula of the surface teeth per minute (STM) where the formula is:

the surface teeth per minute (STM) = Speed x number of teeth

Because of the main drive gear is connected with the countershaft drive gear, the STM of both are equivalent. So.

Main gear speed x Main gear number of teeth = countershaft speed x countershaft  number of speed

35 teeth x 450 RPM = 70 teeth x "x" RPM

450 RPm = 2 x "x" RPM

x = 450 : 2 RPM

x  = 225 RPM

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Answer:

16 m

Explanation:

(4 m/s)(t + 2 s) = (8 m/s)t

4t + 8 = 8t

8 = 4t

t = 8/4 = 2 sec

This means that after Car A has traveled for 4 sec, Car B catches up to it after it has traveled 2 s (having left 2 s after Car A).

Where do they meet up:

d = rt

Car B:  d = (8 m/s)(2 s) = 16 m

Car A:  d = (4 m/s)( 2 s + 2 s) = 16 m   **always check both equations to make sure your answer is correct

Answer:at night.

Explanation:

The lightning is formed by  two objects with different electric charges rub together Hence, option (D) is correct.

Charges created by rubbing can be used to explain lightning. The water droplets flow downhill during a thunderstorm while the air currents rise higher.

As a result of this process, the positive charges gather close to the cloud's upper edge, while the negative charges gather close to the cloud's lower edge and also close to the ground.

The charge's magnitude increases significantly as it builds up. Airborne water droplets serve as a conductor for this charge.

Lightning and thunder are produced when these charges flow to meet.

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Answer: C raindrops conduct electricity from clouds to the ground

Explanation:

Crash of two vehicles that are moving directly toward each other

This is a difficulty with momentum conservation. Each cart has a starting momentum equal to its mass multiplied by its velocity. When they hit and stick together, they become a single unit of combined mass of 4 kg + 5 kg, and their new velocity must account for momentum conservation.

Assume the 4 kilogram cart is coming from the left and the 5 kg cart is coming from the right. This results in a velocity of +12 m/s for the 4 kg cart and a velocity of -9 m/s for the 5 weight cart.

The carts’ early moments are

(4 kg * 12 m/s) = 48 kg * m/s

And

-45 (kg * m)/s = (5 kg * -9 m/s)

This results in a total starting momentum of 48 + (-45) = 3 (kg * m)/s.

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Answer:

0.27475 N

Explanation:

To find the net force acting upon q2, we need to find the force exerted by q1 to q2 and the force exerted by q3 to q2, and to do that we should apply the formula

[tex]F = |\frac{kq_{1}q_{2} }{r^{2} }|[/tex]

where in k is coulomb's constant ([tex]8.99*10^9 \frac{Nm^{2}}{C^{2}}[/tex])

q1 and q2 are the charges

and r is the distance between the two charges.

Finding the force exerted to q2 by q1:

[tex]F = |\frac{(8.99*10^{9} * (-5*10^{-6}) * (2.5*10^{-6})}{(0.500)^{2}}|[/tex]

F = 0.4995 N

q1 would be attracted to q2, so it would go to the right, so it's a positive force

Finding the force exerted to q2 by q3:

[tex]F =|\frac{(8.99*10^{9})*(-2.5*10^{-6})*(2.5*10^{6})}{0.250^{2}}|[/tex]

F = 0.22475 N

q3 would be attracted to q2, so it would go to the left, so it's a negative force

F = -0.22475N

Add-up the forces: 0.4995 + (-0.22475) = 0.27475 N

The mass of the twig is determined as 7.5 g.

The mass of the twig is calculated by applying the principle of conservation of linear momentum as shown below.

This principle states that the sum of initial momentum of a system is equal to the sum of the final momentum of the system, provided the system is isolated.

Pi = Pf

where;

(0.4  x m ) = ( 1.2 x 2.5 )

m = ( 1.2 x 2.5 ) / ( 0.4 )

m = 7.5 g

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Answer:

Which of the following is NOT TRUE about a longitudinal wave?

Explanation:

Answer:

a. 16 kg m/s

b. -32 N (Newton)

c. 32 N

Explanation:

a. The momentum of an object is the product of its mass and velocity. The formula for momentum is: momentum = mass x velocity

So, in the case of an 8-kg bowling ball rolling at 2 m/s, the momentum would be: momentum = 8 kg x 2 m/s

= 16 kg m/s

The unit of momentum is kg m/s (kilogram meter per second). The momentum of this bowling ball is 16 kg m/s. It is important to note that the direction of velocity is also important when calculating momentum, so it is important to know the direction of the bowling ball.

b. To calculate the average force that the bowling ball exerts on the pillow, we can use the equation: force = change in momentum / change in time

The change in momentum is equal to the final momentum minus the initial momentum. Since the bowling ball is rolling at 2 m/s and stops in 0.5s, we can assume that its final momentum is 0 (since it stops moving) and the initial momentum is 16 kg m/s.

change in momentum = final momentum - initial momentum

= 0 - 16 kg m/s

= -16 kg m/s

change in time = 0.5s

So,

force = -16 kg m/s / 0.5 s

= -32 N (Newton)

The negative sign indicates that the force is opposite to the direction of motion of the bowling ball. This is expected as the force exerted by the pillow is acting in the opposite direction of the ball's motion, thus slowing it down and bringing it to a stop.

It is important to note that the force exerted by the pillow on the bowling ball is equal and opposite to the force exerted by the bowling ball on the pillow, this is Newton's third law of motion.

c. The average force that the pillow exerts on the ball is equal and opposite to the average force that the ball exerts on the pillow, as stated by Newton's third law of motion. This is because when the ball collides with the pillow, the pillow exerts an equal and opposite force on the ball to stop its motion. Therefore, the average force that the pillow exerts on the ball is 32 N, in the opposite direction of the ball's motion.

Answer:

0.00088 kg/m³

Explanation:

Given:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \: \text{g} }{ \text{cm}^{3} }}[/tex]

Let's consider cm³ to m³ first. We know that m³ is 100 cm³. Therefore, cm³ would equal to m³ × 10 negative squared:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \: \text{g} }{ {10}^{ - 2} \: \text{m}^{3} }}[/tex]

And from the numerator, 1 kg = 10³ grams. Therefore, 1 gram would equal 10 to negative cube kg Hence:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \times {10}^{ - 3} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }}[/tex]

Then evaluate using law of exponent where if same bases multiply each other, we add the exponents:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3 - 3} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 6} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 6 + 2} \: \text{kg} }{ \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 4} \: \text{kg} }{ \: \text{m}^{3} }}[/tex]

And 8.8 × 10^-4 is equal to 0.00088. Therefore, the answer is 0.00088 kg/m³

Answer:

The height of the classroom can be determined using the equation:

height = (1/2) * g * t^2

Where:

g = the acceleration due to gravity (approximately 9.8 m/s^2 on Earth)

t = the time it takes for the penny to fall (0.8 seconds)

Plugging in the known values, we get:

height = (1/2) * 9.8 m/s^2 * (0.8 s)^2

height = 3.072 m

So the ceilings are approximately 3.072 meters tall.

Explanation:

Answer:

The movement of a 2000-kg truck travelling at 19 m/s is 38,000 kgm/s.

The statement describing point D is "The net force is zero, so the acceleration is zero."

Simple Harmonic Motion is the alternating motion of an object through its equilibrium point. In simple harmonic motion, the object accelerates in a direction toward the equilibrium point. Acceleration that occurs in simple harmonic motion is caused by a rebound force.

The speed of the object at the equilibrium point is maximum. Examples of simple harmonic motion are the alternating motion of a pendulum and the alternating motion of a mass-spring system.

The acceleration of an object will be proportional to the amount of force (force results) acting on the object and inversely proportional to its mass.

At point D we are in a situation where the spring passes its equilibrium position, so x=0, therefore the net force is zero and the acceleration is zero.

The question is multiple choice:

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