4. A vehicle is moving at 5 ms. How long will it take to stop at a distance of 15m​

A. The tension in the string being twirled around Fred's head is 247 N.

The centripetal acceleration of the rock twirled around Fred's head is calculated as follows.

a = ω²r

where;

The angular velocity of the rock = 5 rev/s x 2π rad/rev = 10π rad/s = 31.42 rad/s

Substitute the value of the angular velocity and radius of the circular path and calculate the centripetal acceleration.

a = (31.42)² x (0.5)

a = 493.6 m/s²

The tension in the string = ma

                                         = (0.5 kg) x (493.6 m/s²)

                                          = 246.8 N ≈ 247 N

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The complete question is below:

A string tied to a rock is being twirled around Fred's head at 5 cycles/s . If the rock has a mass of 500 g and the string is 50 cm long, what is the tension in the string?

Answer:

3.0 W

I actually had this question before BUT I have no clue how to explain it. I haven't done this in so long. I apologize but that is the correct answer.

Answer:3.0 W

Explanation:

P=VI

P= (6.0 V) (5.0 A)

P= 3.0 W

Answer: The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

Explanation: Hope this helps. : )

The horizontal displacement of the stunt diver from the base of the cliff is 33.9 m

The time of motion of an object is the time taken for the object to travel from its initial position to the final position.

The time taken for the stunt diver to travel down the given height is calculated as follows;

h = vt + ¹/₂gt²

where;

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

t = √(2 x 13 / 9.8)

t = 1.63 seconds

The horizontal distance travelled by the stunt diver is calculated as follows;

X = Vₓt

where;

X = 20 .8 m/s  x  1.63 s

X = 33.9 m

Thus, the displacement of the stunt diver from the base of the cliff is 33.9 m.

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(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force  to loop resistance yields the current in the circuit.

How can we calculate emf induced in a loop?
The emf induced in the loop can be calculated using Faraday's law:
emf = dФ/dt ⇒ emf = A * (dB/dt)
where A represents the area of the loop and dB/dt is the change in magnetic field with time.

Therefore, using the above relation, emf induced= 0.0901 * 0.197= 0.017V
Again, using Ohm's law the current in the loop can be determined since
Current = emf/Resistance.

Thus,
(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force  to loop resistance yields the current in the circuit.

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There are three positive things about meditation:

Meditation helps you manage anxiety, stress, and depression.

There are three reasons you should not eat junk food:

Meditation can increase alertness and focus but extremes can lead to insomnia and other sleep disorders. I also found it high Meditation is the habitual process of training the mind to focus and redirect one's thoughts. Meditation is growing in popularity as more people discover its many health benefits. You can use it to increase awareness of yourself and those around you.

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Answer:

Therefore machine efficiency is 131.6%.

Explanation:

Data

work output = 500J

work input = 380J

M.E = ?

M.E = work output/work input × 100%

M.E = 500J/380J × 100%

M.E = 131.6%

Therefore machine efficiency is 131.6%.

Answer:

Voltmeter

Explanation:

Voltmeter is used to measure both terminal potential difference as well as electromotive force (e.m.f.) depending upon the connection state of the battery or cell.

Instantaneous velocity and Average acceleration are vectors. Hence, the correct options are (I) and (II).

The instantaneous velocity is a quantity that shows us how quickly an object is moving at any point along its path. The time between the two events approaches zero when the average velocity between two points on the path reaches a certain limit. Instantaneous velocity is a vector with a dimension of length per time, similar to average velocity.

The rate at which the velocity changes is known as the average acceleration vector. It moves in the direction of the velocity change, v. The rate at which a velocity is changing over time is called acceleration. Acceleration is also a vector quantity and must take into account changes in both the magnitude and direction of a velocity. Because velocity has both magnitude and direction, it is referred to as a vector quantity.

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The speed of sound in water made by a torpedo with a speed of 20.00m/s and explodes upon impact with a target 2000.0m away is 19.72 m / s

v = d / t

v = Velocity

d = Distance

t = Time

d = 2000 m

t = 101.4 s

v = 2000 / 101.4

v = 19.72 m / s

Velocity of an object is the object's rate of change of position with respect to time. It is mostly denoted as m / s.

Therefore, the speed of sound in water is 19.72 m / s

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The correct statement from above about the conservation of mass is: mass is conserved in both physical and chemical changes.

The correct answer choice is option c.

It follows that the law of conservation of mass states that: " matter can neither be created nor destroyed but changes from one form to another ". From this statement of the atomic theory, it then means that the mass of any substance remains the same in any state of matter, physical changes, chemical changes, before reaction and after reaction. Mass is neither created not destroyed.

The mass of matter is the same through out in both physical and chemical changes.

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Answer:

B

Explanation:

The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.

A measurement with both magnitude and direction. It is often represented by an arrows whose length is proportional to the size of a quantity and whose orientation is the same as that of the quantity. An vector does not even have position, while having direction and magnitude.

Lets look at the ratio of the forces of the same charges but at different distances

[tex]$\frac{F_1}{F_2}=\frac{k_e \frac{q_{A q_B}}{r_1^2}}{k_e \frac{q_A q_B^2}{r_2^2}}$[/tex]

[tex]$\frac{F_1}{F_2}=\frac{r_2^2}{r_1^2}$[/tex]

Pugging in our given values we get the force F2 as:

[tex]$F_2=\frac{r_1^2}{r_2^2} F_1$[/tex]

=(13.7mm)2/(17.7mm)2(2.62N)

=1.57 N

The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.

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The magnitude of the relative angle φ with which the ski jumper hits the slope

φ=14.08

This is further explained below.

Generally, the equation for time is mathematically given as

[tex]t = \frac{(2V tan \theta)}{g} \\\\t = \frac{2 * 24 * tan 59}{9.8}[/tex]

t = 8.152 s

The formula will now provide the slope of the flight path at the time of impact;

tan = V y / V x

V_y = 9.8 * (8.152)

V_y= 78.89 m/s

In conclusion,

[tex]tan \alpha = \frac{78.89}{24}[/tex]

[tex]tan \alpha = 3.2871[/tex]

[tex]\alpha= 73.08°[/tex]

Hence

φ=[tex]\alpha - \theta[/tex]

=73.08-59

φ=14.08

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The complete question is;

A ski jumper travels down a slope and leaves the ski track moving in the horizontal direction with a speed of 24 m/s. The landing incline below her falls off with a slope of θ = 59◦ . The acceleration of gravity is 9.8 m/s².

What is the magnitude of the relative angle φ with which the ski jumper hits the slope? Answer in units of ◦

The statement that best describes how energy is conserved in this scenario is that the cold air absorbed energy from the water vapor, so it condensed and formed steam and the liquid water absorbed the energy of the fire, so it changed into a gas and evaporated. That is option B and D respectively.

The law of conservation of energy states that energy is neither created nor destroyed but can be changed from one form to another.

At the camping, energy from a lighter is being transferred to the wood and is being sustained by the chemical energy in the wood.

Upon the use of water to extinguish the fire, the liquid water absorbed the energy of the fire, so it changed into a gas and evaporated.

Also around the fire is the cold air which can absorb heat to form steam after condensation.

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In light of this, V=V 0 loge (r/r 0 ) Field E= dr dV =V 0(r0r) eE= r mV2 alternatively, reV0r0=rmV2. V=(m eV 0 r 0 ) \ s1 / 2mV=(m e V 0 r 0 ) 1/2 = constant mvr= 2 nh, also known as Bohr's quantum condition or Hermitian matrix.

Show that the eigenfunctions for the Hermitian matrix in review exercise 3a can be normalized and that they are orthogonal.  

Demonstrate how the pair of degenerate eigenvalues for the Hermitian matrix in review exercise 3b can be made to have orthonormal eigenfunctions.

Under the given Hermitian matrix, "border conditions," solve the following second order linear differential equation: d2x/ dt2 + k2x(t) = 0 where x(t=0) = L and dx(t=0)/ dt = 0.

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Actual specific heat capacity would be less than the computed experimental specific heat capacity.

The experiment's measurement of water's specific heat capacity, c, is higher than the accepted value for c. This is because some heat was lost to the surroundings, causing the experimental temperature rise to be q smaller than the projected temperature rise.

The quantity of heat energy needed to raise the temperature of 1 kg of a material by 1 K is measured as specific heat capacity. It is crucial because it will show how much energy will be needed to raise or lower an object's temperature by a certain amount for a certain mass.

In this experiment, the primary source of error is heat loss by conduction. The conservation of energy serves as the theoretical foundation for this particular heat test. Energy can be in the form of heat, and in this instance, heat will be transported from the sample to the water.

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The acceleration of the skateboarder is calculated out to bbe -2.33 m/s^2, when travelled at 7 meters per second.

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Answer:

1.125 m/s^2

Explanation:

Given:

To Find:

Formula used:

where,

v = final velocity

u = initial velocity

a = acceleration

S = Displacement

Let the acceleration be a.

Using the above formula, we have

60^2 = 0^2 + 2(a)(1600)

3600 = 3200a

a = 36/32

a = 9/8

a = 1.125 m/s^2

So, the acceleration is 1.125 m/s^2.

The total displacement is 3.58 kilometers to the south of the east. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is."

A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is. These factors provide the overall displacement: where,

The average speed is v.

Time has come.

The typical speed is:

v = 3.53 m/s

While the time must be changed from minutes to seconds:

t=169*60

=10140s.

Consequently, the displacement's size is

=3.53*10140

=35794 m

=3.58 km

Furthermore, since the direction and speed are identical, the direction is 45° south of east.

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The engineer should take into account the convective currents that cause higher temperature gases to rise and lower temperature gases to sink.

Convection is a term that refers to the way in which heat is transmitted in a liquid or gaseous state as a consequence of the actual movement of particles at different temperatures. If this movement is due to the effect of gravitation, due to differences in density, it is called natural convection.

The engineer must take into account that, due to their density, the hottest gases tend to rise, and the coldest gases descend. Therefore, he would have to find a way for the hot gases to leave the floor and circulate around the house so that it stays at a warm temperature.

In the case of a house that is in a warmer climate the engineer should take into account convection because it can find a way in which the hot gases rise and are released through the roof of the house and keep the gases cold inside the house.

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A Normal Force is a force applied in the direction perpendicular to the surface that the force is applied to. An example of this is putting pressure directly down on a table with your hand.

A Tension Force is a force applied in the opposite direction of the object the force is applied to. Tension Forces usually are applied by springs, ropes, and wires. An example of this is a wrecking ball hanging from a crane. There is a Tension Force on the wrecking ball holding it up in the air.

These forces are different from one another based on their directions that the forces are applied. Forces are vectors, so their magnitude is determined by the amount of force applied and their direction. Tension Force can be a Normal Force, but Normal Forces are not always Tension Forces.

The total distance that the sled moved is 332.01 m.

Total distance s = s1 + s2 + s3

1st Case: Acceleration

u = 0 m/s

v = 37 m/s

a = 25 m/s²

Therefore, using the equation of motion:

[tex]v^{2} - u^{2} = 2as\\s = v^{2} - u^{2}/2a\\s = 37^{2} - 0^{2}/2 * 25\\s = 27.38m[/tex]

2nd Case: No Acceleration

t = 7 s

v = 37 m/s

[tex]s_{2} = v * t\\ s_{2}= 37 * 7 = 259m[/tex]

3rd Case: Deceleration

a = -15 m/s²

u = 37 m/s

v = 0 m/s

Therefore, using the equation of motion

[tex]v^{2} - u_{2} = 2as\\[/tex]

[tex]s = 0^{2} - 37^{2}/2 * -15 = 45.63m[/tex]

Therefore,

S = 27.38 + 259 + 45.63 m = 332.01 m

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Answer:

D is the correct answer

Explanation:

Helium-filled balloons rise in the air because the density of helium is less than the density of air.

Answer:

Omnivores generally occupy the third trophic level alongside meat-eating carnivores. Omnivores are a diverse group of animals.

Explanation:

Examples of omnivores include bears, birds, dogs, raccoons, foxes, certain insects, and even humans.

With the use of the formula below, their initial angle of launch was 26.2°

A projectile is any object that is projected into the air which take a trajectory path.

Given that a catapult shoots an object 1.65m at an initial velocity 15m/s. It is in the air for 0.33s. Their initial angle of launch can be calculated by using the formula

h = usinФt - 1/2gt²

Where

Substitute all the parameters into the formula

1.65 = 15sinФ × 0.33 - 1/2 × 9.8 × 0.33²

1.65 = 4.95sinФ - 0.5336

Collect the like term

4.95SinФ = 1.65 + 0.5336

4.95SinФ = 2.184

SinФ = 2.184/4.95

SinФ = 0.4411

Ф = [tex]Sin^{-1}[/tex](0.4411)

Ф = 26.2°

Therefore, their initial angle of launch was 26.2°

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The magnitude of the friction force she experiences=> f=  183.26 N.

friction force isthe force which opposes the motion of an object.

Total mass= 50 + 35 kg=85 kg

g= 9.8 m/s²

coefficient of friction with the snow (ц)=0.220

the friction force acting here is kinetic friction force, which is product of coefficient of friction and force acting on it which is mass × acceleration due to gravity.

the magnitude of the friction force= kinetic friction acting here=ц m g

                                   f = 0.220 × 85 kg × 9.8

                                   f=  183.26 N

friction force acting here is =  183.26 N.

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What thermonic emissions and liquid vaporization have in common is that the particles involved both processes evaporates by the application of heat.

The amount of heat energy which is needed by just 1 gram of a liquid substance to boil without being affected by change in temperature.

However, when the thermal liquid of vaporization decreases as temperature increases. It is also affected by intermolecular forces.

Thermonic emissions refers to those electrons which are produced by the application of heat energy.

In conclusion, the major similarity in the task above is that they evaporated by heat.

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Answer: 0.6 g /cm^3

Explanation:

Just plug in the value in the equation d=m/v and you will get the answer!

To answer the question effectively, Jacob should use trail and error as a method. When doing so, he should be reducing the number of cars loaded in the train one after the other until he successfully make the train pull up the remaining cars.

For Jacob to answer this question and to find the number of cars that the train can pull up the hill, he should use a method know as trial and error. With the method, Jacob would want to decrease the number of cars loaded in the train one after the other, and should be pulling the train up after every trail.

The number of cars loaded in the train can be decreased by one for each case Jacob makes an attempt up to the time he successfully make the train pull up the hill.

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