two vectors, one with a magnitude of 14 units and one with a magnitude of 5 units, are both pointing east. what is the resultant of these two vectors?

Answer:

In my mind when I hear the word momentum it comes that it is the product of mass and velocity.

The word momentum means mass and velocity taken together.

Mass is an intrinsic basic physical quantity which tells us about the amount of matter contained in a body. It is a scalar quantity and it is measured in kilogram(Kg).

Velocity is the rate of change of displacement . It is defined as displacement per unit time. It is a vector quantity and measured in meter per second (m/s)

The product of mass and velocity is momentum. When a body possesses both mass and velocity we say that it has momentum. It is a vector quantity. Its unit is kg m/s

Mathematically we write momentum as,

P = mv

Mathematically we write momentum a

Where, P = momentum

m = mass

v= velocity.

When a force is applied on a body, it changes its momentum. The relationship between force and momentum is given by Newton's second law of motion which states that the rate of change of momentum is directly proportional to the force applied,

F = Δp /Δt

Where F= force

Δp = change in momentum

Δt = time taken for the change in momentum to occur.

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Answer: Ted and Tim

Explanation:

The football players Ted and Tim have the same momentum, which is 120 kg m/s. Hence, option C is correct.

The momentum is the result of a particle's velocity and mass. Force and motion, meaning it has both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on a particle equals the time rate of increase of momentum.

The impulse, which is the product of the force and the intervals (the impulse), is equal to the difference in momentum, according to Newton's 2nd law, if a steady force operates on a particle for a specific amount of time. On the other hand, a particle's momentum is the amount of time needed for a consistent action to fight it to rest.

As per the given information in the question,

The momentum of Ted is,

p = 60 × 2 = 120 kg m/s

The momentum for Todd is,

p = 80 × 1.7 = 136 kg m/s.

The momentum of Tom is,

p = 90 × 1.5 = 135 kg m/s and,

The momentum for Tim is,

p = 100 × 1.2

p = 120 kg m/s.  

After comparing the momentum of all the players, Ted and Tim have similar momentum.

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Answer:

Explanation:

For every action (or force), there is an equal and opposite action (or force).

Answer:

What is an electromagnetic wave

Explanation:

Electromagnetic radiation is also more commonly known as light, light travels in waves- and light travels at the same speed as electromagnetic waves. :)

To find the work done, we need to use the formula W = F * d * cos(theta), where W is the work done, F is the force applied, d is the displacement, and theta is the angle between the force and displacement vectors.

Given that the force applied is 16 N and the diameter of the handle is 2.0 cm, we can calculate the displacement. The diameter is twice the radius, so the radius is 1.0 cm or 0.01 m. The displacement is equal to the circumference of a circle, which is 2 * pi * radius.

Using the formula for displacement, we get d = 2 * 3.14 * 0.01 = 0.0628 m.
Since the force is applied tangentially to the handle, the angle between the force and displacement vectors is 0 degrees. Therefore, cos(theta) = 1.
Plugging in the values into the formula, we have W = 16 * 0.0628 * 1 = 1.0048 J.
So, the work done is approximately 1.0048 Joules.

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Adding protons to the nucleus would increase the electrostatic repulsion and increase the strong nuclear force.

Correct option : A

The first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.

Given data:

The value of the first distance is, d1 = 0.25 m.

The value of the second distance is, d2 = 0.50 m.

The ratio of distance covered by an object in a specific direction and the time taken to cover the distance is known as the velocity of the object. Mathematically, the expression for the velocity is,

v = d/t

Here,

d is the distance covered.

t is the average time taken to cover the distance.

Then the first velocity of the car at 0.25 m is,

v1 = d1/t1

v1 = 0.25 / t1

here, t1 is the average time for first distance.

And the second velocity of the car with four washers at the 0. 50 m mark is,

v2 = d2/t2

v2 = 0.50 /t2

here, t2 is the average time for the second distance.

Thus, we can conclude that the first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.

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The mechanical advantage of the inclined plane is approximately 19.9724.

To find the mechanical advantage of the inclined plane, we need to use the formula:

Mechanical Advantage = output force / input force

In this case, the input force is given as 15 N. However, we need to find the output force.

The output force can be calculated using the formula:

Output force = mass * acceleration due to gravity

Output force = 30.6 kg * 9.81 m/s^2 = 299.586 N

Now we can use the formula for mechanical advantage:

Mechanical Advantage = output force/input force

Mechanical Advantage = 299.586 N / 15 N = 19.9724

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Answer:

Approximately \(2.69\; {\rm A}\).

Explanation:

Ensure that all values are measured in standard units. Charge should be measured in coulombs, while time should be measured in seconds:

\(\begin{aligned}t &= 3.0\; {\rm hr} \times \frac{3600\; {\rm s}}{1\; {\rm hr}} = 10800\; {\rm s}\end{aligned}\).

Electric current \(I\) is the rate of flow of electric charge.

In order to find the electric current, divide electric charge \(q\) by the time \(t\) required to transfer these charge. If charge \(q\!\) is measured in coulombs and time \(t\!\) is measured in seconds, the unit of current \(I\)would be amperes:

\(\begin{aligned}I & = \frac{q}{t} \\ &= \frac{29000\; {\rm C}}{10800\; {\rm s}} \approx 2.69\; {\rm A}\end{aligned}\).

Measurement of the distance traveled and the amount of time required to cover that distance are required in order to determine speed.

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In bipolar schemes, the voltage level oscillates between a positive and a negative value, and it may also remain at zero level between these two values.

Bipolar schemes are commonly used in electronic systems for digital data transmission or analog signal modulation. In these schemes, the voltage polarity alternates to represent binary digits or encode information.

This allows for efficient transmission and reliable detection of the signal. Bipolar schemes are widely employed in various communication technologies, such as Ethernet, RS-232, and T-carrier systems. They provide a balanced approach to signal representation, ensuring accurate and robust data communication. In bipolar schemes, the voltage oscillates between positive and negative values, with the potential of staying at zero in between.

These schemes are used in electronic systems for transmitting digital data or encoding analog signals. Bipolar schemes enable reliable signal detection and efficient transmission, making them prevalent in communication technologies like Ethernet and RS-232.

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Answer:

B). Rarefaction :) _____

the arrow points to the rarefactions

Answer:

λ = 3.33 m

Explanation:

Given:

Frequency = f = 9 × 10⁷ Hz

Speed = v = 3 × 10⁸ m/s

Required:

Wavelength = λ = ?

Formula:

v = fλ

Solution:

Putting the givens in the formula

v = fλ

λ = \(\frac{v}{f}\)

λ = \(\frac{3*10^8}{9*10^7}\)

λ = 0.33 × 10¹

λ = 3.33 m

Explanation:

Assuming the 10 m distance is the vertical displacement, the work done by both people is the same.

Work = force × distance

W = (250 N) (10 m)

W = 2500 J

The power of the first person is:

Power = work / time

P = 2500 J / 120 s

P = 20.83 W

The power of the second person is:

P = 2500 J / 60 s

P = 41.67 W

The tides on Earth are primarily caused by the gravitational pull of the Moon. The absence of the Moon would have a significant impact on the tides and the entire Earth's ecosystem.

Tides are created by the gravitational force of the Moon acting on the water in the oceans. As the Moon orbits around the Earth, its gravitational force causes the water to bulge on the side of the Earth closest to the Moon, creating a high tide.

Without the Moon's gravitational pull, there would still be some tides on Earth, but they would be much smaller than they are currently. The Sun also exerts a gravitational pull on the Earth, but it is much weaker than the Moon's.

The absence of the Moon would also affect other aspects of Earth's ecosystem, such as the migration patterns of some animals, and the stability of the Earth's axial tilt, which would be more prone to fluctuations. The Moon also plays a role in stabilizing the Earth's orbit around the Sun, so the absence of the Moon could cause changes in the Earth's climate and weather patterns over time.

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Answer:

A) x4

Explanation:

Magnification is equal to image size divided by the actual size, or M = I/A.

The image size is the student's drawing, which is 28.8 cm, and the actual size is 7.2 cm. Divide them, and cancel out the units, and you should get:

28.8 cm/7.2 cm = 4

This inequality tells us that the right side of the equation must be less than or equal to zero for the projectile to escape the Earth's gravitational pull.

To find the equation for the velocity of the projectile (v) with respect to height (x), we can differentiate the given equation with respect to time (t) using the chain rule.

Given:

x'' = - (gR²)/(x²)

Let's denote the derivative with respect to time.

Differentiating both sides of the equation with respect to time (t), we have:

x'' = d²x/dt²

v' = d²x/dt²

Now, apply the chain rule. Let u = x(t).

v' = d²x/dt² = d(du/dt)/dt = d²u/dt²

Now, we need to find the expression for d²u/dt²

Since x = u, we can rewrite the original equation as:

u'' = - (gR²)/(u²)

Substituting this equation into our previous expression:

v' = d²u/dt² = - (gR²)/(u²)

Therefore, the equation for the velocity of the projectile (v) with respect to height (x) is:

v' = - (gR²)/(x²)

Now, let's find an inequality for the escape velocity. At a certain height xmax, the velocity is v = 0. To escape the Earth's gravitational pull, the projectile must have a velocity greater than or equal to zero at an infinite height (as it approaches infinity). This means that the velocity should be non-negative at all heights.

v ≥ 0

Substituting the equation for v' we derived earlier:

(gR²)/(x²) ≥ 0

Since g, R, and x² are positive values, divide both sides of the inequality by -1 to change the direction of the inequality:

(gR²)/(x²) ≤ 0

This inequality tells us that the right side of the equation must be less than or equal to zero for the projectile to escape the Earth's gravitational pull.

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Answer:

16m/s

Explanation:

Mv=mv

5000x8=2500x v

V=5000x8/2500

V=40000/2500

= 16m/s

Answer:

Explanation:

I think this answer would be 1m to the left.

Answer:

The computers used in education and entertainment are:

Explanation:

Analog computer,Digital COMPUTER,Hybrid Computer

Answer:

The work efficiency formula is efficiency = output / input, and you can multiply the result by 100 to get work efficiency as a percentage. This is used across different methods of measuring energy and work, whether it's energy production or machine efficiency.

Explanation:

Hope this helped!!!

A decrease in charge, q, will result in a decrease in the electric field strength. The ratio of the final to initial field strengths can be expressed as qf/qi. If q is halved, the ratio would be 0.5. If the radius, r, is halved, the ratio would be 1/2r2i/r2i, which is equal to 0.25. If r is halved, but the distance remains the same, the ratio would be 1/2r2i/r2i, which is equal to 0.25.

The electric field strength is inversely proportional to the distance from the charge, and directly proportional to the charge and the radius of the sphere. Therefore, halving the charge or radius will result in a decrease in the electric field strength. Halving the radius, with the distance remaining the same, will result in the same ratio as halving the charge because the distance will be the same in both cases.

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a) The kinetic energy of the bullet is 1.996 joule.

b) The total work done on it is 1.996 joule.

c)  The average force on the bullet is 2.661 N.

d) The  magnitude of the force bringing it to rest is 1.33 N.

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Given that: . A rifle can shoot a 4.00 g bullet at a speed of 998 m/s.

a) the kinetic energy of the bullet = (4.00/1000)×998/2 joule = 1.996 joule.

b)  If it starts from rest, the total work done on it = kinetic energy of it = 1.996 joule.

c) If the work is done over a distance of 0.75 m, the average force on the bullet is = work done/distance =  1.996/0.75  N = 2.661 N.

d)  If the bullet comes to rest after penetrating 1.50 cm into a piece of

metal, the magnitude of the force bringing it to rest is = 1.996/1.50 N = 1.33 N.

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Answer:

The wheel and axle is another simple machine. It uses a wheel with a rod attached in the middle as an axle to help it to lift or move loads. In some cases this machine works like a lever to multiply force (like with a doorknob or a fishing reel).

Answer:

Climbing stairs and lifting objects is work in both the scientific and everyday sense—it is work done against the gravitational force. When there is work, there is a transformation of energy. The work done against the gravitational force goes into an important form of stored energy that we will explore in this section.



Figure 1. (a) The work done to lift the weight is stored in the mass-Earth system as gravitational potential energy. (b) As the weight moves downward, this gravitational potential energy is transferred to the cuckoo clock.

Let us calculate the work done in lifting an object of mass m through a height h, such as in Figure 1. If the object is lifted straight up at constant speed, then the force needed to lift it is equal to its weight mg. The work done on the mass is then W = Fd = mgh. We define this to be the gravitational potential energy (PEg) put into (or gained by) the object-Earth system. This energy is associated with the state of separation between two objects that attract each other by the gravitational force. For convenience, we refer to this as the PEg gained by the object, recognizing that this is energy stored in the gravitational field of Earth. Why do we use the word “system”? Potential energy is a property of a system rather than of a single object—due to its physical position. An object’s gravitational potential is due to its position relative to the surroundings within the Earth-object system. The force applied to the object is an external force, from outside the system. When it does positive work it increases the gravitational potential energy of the system. Because gravitational potential energy depends on relative position, we need a reference level at which to set the potential energy equal to 0. We usually choose this point to be Earth’s surface, but this point is arbitrary; what is important is the difference in gravitational potential energy, because this difference is what relates to the work done. The difference in gravitational potential energy of an object (in the Earth-object system) between two rungs of a ladder will be the same for the first two rungs as for the last two rungs.

Converting Between Potential Energy and Kinetic Energy

Gravitational potential energy may be converted to other forms of energy, such as kinetic energy. If we release the mass, gravitational force will do an amount of work equal to mgh on it, thereby increasing its kinetic energy by that same amount (by the work-energy theorem). We will find it more useful to consider just the conversion of PEg to KE without explicitly considering the intermediate step of work. (See Example 2.) This shortcut makes it is easier to solve problems using energy (if possible) rather than explicitly using forces.

More precisely, we define the change in gravitational potential energy ΔPEg to be ΔPEg = mgh, where, for simplicity, we denote the change in height by h rather than the usual Δh. Note that h is positive when the final height is greater than the initial height, and vice versa. For example, if a 0.500-kg mass hung from a cuckoo clock is raised 1.00 m, then its change in gravitational potential energy is

mgh=(0.500 kg)(9.80 m/s2)(1.00 m) =4.90 kg⋅m2/s2=4.90 Jmgh=(0.500 kg)(9.80 m/s2)(1.00 m) =4.90 kg⋅m2/s2=4.90 J

Note that the units of gravitational potential energy turn out to be joules, the same as for work and other forms of energy. As the clock runs, the mass is lowered. We can think of the mass as gradually giving up its 4.90 J of gravitational potential energy, without directly considering the force of gravity that does the

Answer:B

Explanation:

If the driver suddenly slams the brakes, inertia of the water will cause it to spill over to side 2. option (B) is correct.

Newton's first law of motion, sometimes referred to as the law of inertia, asserts that: Until an outside force acts on an object, it will remain in either a condition of rest or motion.

When the driver suddenly slams the brakes,  the car stops suddenly but water inside the cap still remains in inertia of motion. So, the water spill over forward side which is side 2.

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