the airplane in the image below is flying horizontally (parallel to the ground) with a velocity of 65.0 m/s and an altitude of315 m when it releases a care package. if we ignore air resistance, how far (measured in meters)will the package travel along the horizontal,x-dimension (range) before hitting the ground?

The baseball will require longer time and the bowling ball will require  more effort to be stopped.

The bowling ball and baseball is moving with same momentum.

Let us say the momentum of the bowling ball is MV and the momentum of the baseball is mv.

According to second law of newton,

F = ΔMV/Δt

F = MΔv/Δt

So, the force is directly proportional to the speed of the object.

The speed of the bowling ball will be less than that of the baseball because the mass of the bowling ball is more and the mass of the baseball is less.

So, a greater force will be required to stop the baseball ball,

F = mΔv/Δt

v is more and the contact period Δt of the transfer of momentum is less so baseball will require longer time and a grater force will be required to stop the bowling ball because the speed is less.

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(1) The ball is in the air for 1.4 seconds.

(2) The horizontal velocity of the ball as it rolls off the table is 6.32 m/s.

(3) The vertical velocity of the ball right before it hits the ground is 13.72 m/s.

(4) The horizontal velocity of the ball right before it hits the ground is 6.32 m/s.

(5) The initial vertical velocity as soon as the ball comes of the cliff is 13.72 m/s​.

The time of motion of the ball is calculated by applying the following equation.

t = √(2h/g)

where;

t =  √(2h/g)

t = √(2 x 9.63 / 9.8)

t = 1.4 seconds

The horizontal velocity of the ball is calculated as follows;

v = d/t

where;

v = 8.85 m / 1.4 s

v = 6.32 m/s

The vertical velocity of the ball before it hits the ground is calculated as;

vf = vi + gt

vf = 0 + 9.8 x 1.4

vf = 13.72 m/s

The horizontal velocity of the ball right before it hits the ground is calculated as;

the initial velocity of a projectile = final horizontal velocity

vxf = vxi = 6.32 m/s

The initial vertical velocity as soon as the ball comes off the cliff = final vertical velocity = 13.72 m/s

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It is a diagram with the parts of the rainforest labeled

The arrow leaves the bow at a speed of 40.47 m/s.

When the arrow is released from its bow, the arrow will move and accelerate. Newton's second law of motion applies to the arrow. The formula F = ma

[tex]a \:=\: \frac{F}{m}[/tex]

[tex]a \:=\: \frac{89.0}{0.0850}[/tex]

a = 1,047.059 m/s²

When the object has acceleration, the object will move in a non-uniform motion. The formula

v² = u² + 2ad

v² = 0² + (2×1,047.059×0.782)

v² = 1,637.6

[tex]v_t \:=\: \sqrt{1,637.6}[/tex]

[tex]v_t[/tex] = 40.47 m/s

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Answer:

c. Free body diagram

Explanation:

Free-body diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a given situation.

Acceleration: the rate at which the speed and direction of a moving object vary over time.A point or object going straight ahead is accelerated when it accelerates or decelerates.

Three different accelerated motion types exist: average acceleration, non-uniform acceleration, and uniform acceleration.

a = F / m

1 N = 1 kg•m/s²

F = ma; where F = force in newtons (N), m = mass in kg, and a = acceleration in m/s².

Known and Unknown

F = 3000 N = 3000kg•m/s²

m = 1200 kg

a = F/m

a = (3000 kg•m/s²)/(1200 kg)

Kilograms cancel.a =  2.5m/s²

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Answer:

Velocity V = 13 m/s

Explanation:

Given:

m = 1.2 kg

p = 15.6 kg·m/s

__________

V - ?

Momentum:

p = m·V

Velocity:

V =p /m  = 15.6 / 1.2 ≈ 13 m/s

Explanation:

done with the meeting today so I m ready for bed k tai you

Answer:

Explanation:

Dx = 85 +  45·cos 30° = 85 + 45·(√3 / 2) ≈ 124 m

Dy = 45·sin 30° = 45·(1/2) = 22.5 m

D = √ (Dx² + Dy²) = √ (124² + 22.5²) ≈ 126 m

The speed of the ball is 192m/s. The long of the ball is 2.85s.The height of the ball is 2.13m.

A)The speeds at these points are equal since the starting position and the point at which it touches the ground have the same elevation. Solving the product of the horizontal and vertical velocities yields the final speed. Which is

vf=√(V[tex]ox[/tex])²+(V[tex]oy[/tex])²

vf=√(23m/s)²+(14m/s)²

vf=192m/s

B)Take into account the starting point and the highest point, respectively.

We are aware that the vertical velocity is zero at the highest point. Additionally, we are aware that the duration of the flight from start to finish is twice as long.

So, we'll apply the formula t=v[tex]f[/tex]-v[tex]o[/tex]/a

   t=2(v[tex]top[/tex]-v[tex]o[/tex])/a

    t=2(0m/s-14m/s)/-9.81m/s

t=2.85s

C)Using the formula, the highest height that can be reached can be determined.(v[tex]f[/tex])²=(v[tex]0[/tex])²+2ay

This is how the maximum height is determined:

                    (v[tex]f)[/tex]²=(v[tex]0)[/tex]²+2ay

                    y[tex]max[/tex]=(v[tex]top[/tex])²-(v[tex]o[/tex])²÷2a

    y[tex]max[/tex]=(0m/s)²-(14m/s)²÷2(-9.81m/s)²

            =2.13m

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The final velocity (in m/s) of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest will be 31.30 m/s

given

initial velocity = 0

displacement = s = 50 m

using kinematics equation

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

2* (g) * s = [tex]v^{2}[/tex] - 0

[tex]v^{2}[/tex]  = 2 * (9.8) * 50

v = 31.30 m/s

The final velocity will be v = 31.30 m/s

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A decrease in velocity is referred to as deceleration. If car is moving at 30 m/s and stop in 50 m .The value of deceleration is 11.56 ms−2.

While acceleration is motion in which an object's speed varies every second, deceleration is motion that causes an object to slow down.

We are aware that acceleration refers to an object's rate of increase in speed, and deceleration refers to an object's rate of decrease in speed. For instance, when we apply the brakes while driving, we benefit from the vehicle's ability to decelerate and slow down.

The Deceleration Formula is the final velocity minus the initial velocity, with a negative sign in the result because the velocity is decreasing, if starting velocity, final velocity, and time taken are given.

velocity of car = 30 m/s

car need to stop in 50m

Deceleration a = v^2 –  u^2 / 2s

                          = 0^2 - 50^2 / 2*30

                          = 11.56

Deceleration of the care = 11.56 ms−2

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The field magnitude required to divert the beam away from the screen is 3.1588 × [tex]10^{-4}[/tex].

A magnetic force is applied to a charged particle when it enters a magnetic field. This force's strength is determined by the particle's speed, magnetic field, and charge density. Fleming's Left Hand Rule determines the force's direction. The component of the velocity transverse to the magnetic field provides the required centripetal force if the charged object arrives at an angle.

V = 55.0 kV

d = 1.00cm

Tan∅ = ((1 ÷ 2) × 60) ÷ 6.0 = 5

∅ = 26.6°

Sin∅ = 1 ÷ R

R = 1 ÷ Sin(26.6°)

R = 1 ÷ 0.44

R = 2.27

Total work completed equals Kinectic Energy change

1 ÷ 2 mv² = qΔV

0.5 × 9.1 × [tex]10^{-31}[/tex] × v² = 1.6 × [tex]10^{-19}[/tex] × 55.0 × [tex]10^{3}[/tex]

v² = (8.8 × [tex]10^{-15}[/tex]) ÷ (4.55 × [tex]10^{-31}[/tex])

v² = 1.93 × [tex]10^{16}[/tex]

v = √1.93 × [tex]10^{16}[/tex]

v = 138924439

v = 1.3 × [tex]10^8[/tex]

The magnetic force produces the centripetal force.

qvB = mv² ÷ R

B = (mv ÷ qR)

B = (9.1 × [tex]10^{-31}[/tex] × 1.3 × [tex]10^8[/tex]) ÷ (1.6 × [tex]10^{-19}[/tex] × 2.27)

B = (11.83 × [tex]10^{-23}[/tex]) ÷ (3.745 × [tex]10^{-19}[/tex])

B = 3.1588 × [tex]10^{-4}[/tex]

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If the power is quadrupled, The amplitude changes by factor of 2 means double.

The greatest displacement or distance moved by a point on a vibrating body or wave from its equilibrium position. It is one-half of the length of the vibration path.

Given,

If the amount of power applied to the string is quadrupled.

The power transmitted by a sinusoidal wave on a stretched string formula is,

P=[tex]1/2[/tex](μω²A²v)

Where μ mass per unit length

ω=angular speed

A= amplitude  

v=wave speed  

P=power delivered.

We only need two terms in this case: power and amplitude.

P∝ A²

For our problem, all other quantities are constant.,

A= k √P

Where k= constant

Power is quadrupled here, which means four times.,

A=√4P

A=2√P

Changing the amplitude by a factor of two means doubling.

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The angular velocity of tornado Which having 64m diameter and having velocity of 100 km/h is 0.138 revolutions per second.

Angular velocity  ω=v/r

Where v is linear velocity

r = radius of circle

ω = 100/32

    = 8.29 rpm

Convert to revolutions per second

= 0.138 revolutions per second.

Angular velocity of tornado is 0.138 rps.

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electric force would a proton experience at the same point is .156 × 10⁻¹⁹ N/C.

Electric field :

The electric field is the amount of electric force per charge, and the electric force on a charge at a given point in space is the amount of charge multiplied by the electric field at that location.

E = F/q

where,

E = electric field

F = force

q = charge

A force experienced by an alpha particle = 0.250N

E = F/q

E =  0.250 /1.6 × 10⁻¹⁹

E = 0.156 × 10⁻¹⁹ N/C

electric force would a proton experience at the same point is .156 × 10⁻¹⁹ N/C.

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The efficiency of the machine is ξ= 50%.

Given - 20 joules and 30 joules are input and output work of the system respectively.

To find the efficiency of the system.

principle ;- Efficiency represents the capability of a system to do work .

Mathematically , efficiency has an equation that relates the input and output work and accurately provides the result.

Formula  -   ξ= οₙ/Iₙ x 100

οₙ = output work , Iₙ= input work

Calculations :-  ξ= { 10/20 }x 100

ξ= 50%

Result- The Efficiency of the machine is 50%.

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The magnitude of the magnetic field of the wave at this same point in space and instant in time is 1.67 × 10 ⁻⁸ T

The direction of the electric field is pointing in the positive x direction and the direction of propagation of the wave is in the positive z direction. Therefore, the direction of the magnetic field is in the positive y direction. Because in an electromagnetic wave, the direction of the electric field, the direction of wave propagation, and the magnetic field all lie perpendicular to each other.

According with the right-hand rule, the thumb points within the route of the current, the hands factor inside the course of the magnetic subject, and the resulting pressure at the charge points outwards from the palm. The pressure on a negatively charged particle is inside the opposite path.

Calculation:-

B₀ = E₀/c

   = 5 / 3 × 10⁸

The magnitude of the magnetic field is equal to = 1.67 × 10 ⁻⁸ T

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It is typical for people in hypnotic trances to temporarily begin speaking languages they do not know .

Option a is correct

Although hypnosis is frequently described as a sleep-like condition, it is actually better described as a state of sharpened focus, increased suggestibility, and vivid fantasies. People who are hypnotized frequently appear tired and disoriented, yet they are actually hyperaware.

Our brain waves must slow down in order to enter a trance. Throughout the course of the day, people alternate between several brain wave states. Different stages of the brain wave include sleeping, daydreaming, and being fully alert and focused.

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An inelastic collision between two objects is characterized by the fact that a) the total momentum of the system is conserved. Choice A is correct

Inelastic collisions are the collisions in which the kinetic energy is lost. The momentum of the system is conserved in inelastic collisions, but kinetic energy is not. This is because some of the kinetic energy was transferred to another.

Suppose two similar cars are approaching. They collide, but the sled is equipped with a magnetic clutch so that when they collide they combine into a single agglomerate. This type of collision is completely inelastic as the maximum possible kinetic energy is lost. This does not mean that the final kinetic energy of the system is necessarily zero. Momentum is not yet maintained.

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The velocity of sound in helium gas is 968 m/s if the spacing between resonances is 110cm.

We have to go from antinode to antinode. In an air column, the spacing between resonance is wavelength /2 as we have to go from antinode to antinode.

wavelength = 220 cm = 2.2m

As we know the velocity formula

Then Velocity = f * λ

Where f is the frequency and λ is the wavelength.

So Velocity of wave = 440 * 2.2 = 968m/s

Hence, the velocity of sound in helium gas is 968 m/s if the spacing between resonances is 110cm.

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Saturn is undergoing an apparent retrograde movement period as the Earth moves closer to Saturn in its orbit and then both planets are located on the side of the Sun. Stars that are nearer to us will exhibit higher parallax, similar to how it occurs on Earth.

The star parallax of the Earth is quite modest, barely 0.03 seconds of arc. It would be difficult to see against the backdrop of stars, even with a good telescope.

The angle between the Earth's place at a single time of year and the Earth 6 months later, as determined from a nearby star, is known as the parallax angle. This angle is used by astronomers to calculate how far away that star is from Earth.

We may calculate the distance to a nearby planet using the method described before, s. Now, measuring from an observation point O, we determine the angle the planet occupies, which is. Therefore, P1P2=d, where d is the planet's diameter. As a result, we may use the parallax method to calculate the radius of a neighboring planet.

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The magnitudes and directions of the velocities of the two marbles after the collision is: v1f is left and v2f is right.

The initial marble weighs m1 = 0.015 kg.

Second marble's mass is m2=0.045kg.

The first marble's initial velocity is v1i=0.40m/8 before to contact.

The second marble's initial velocity is v2i=0m/8 prior to impact.

After the impact, the first marble's final speed is v1f.

Following the collision, the initial marble's final velocity is v2f.

If the collision is elastic, the kinetic energy is preserved.

We'll write 1/2 m1 for KE = 1/2 mv2 (v1i)

2 + 1/2 m2(vi) (vi)

2 = 1/2 m1(v1f)2 + 1/2 m2 (v2f) (v2f)

2.

Using this equation, we can establish a new relationship between velocities and determine each marble's post-collision velocity:

v1f=(m1-m2)/(m1+m2)

v1\sv1f=(0.015kg-0.045kg)/(0.015kg+0.045kg)

0.40m/s\s=-0.20m/s

First marble is moving leftward at 0.20 m/s, as indicated by the negative sign.

Find the second marble's final velocity.

​v2f=2m1v1/(m1+m2)\s

v2f=2⋅0.015kg⋅0.40m/s/(0.015kg+0.045kg)\s

v2f=0.20

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Insulators can by charged only by friction.

An electrical insulator is a cloth wherein electric powered modern-day does no longer drift freely. The atoms of the insulator have tightly certain electrons which can not quite simply move. Other substances—semiconductors and conductors—conduct electric modern greater effortlessly.

Insulators are used in electric system to help and separate electrical conductors with out allowing current thru themselves. An insulating material utilized in bulk to wrap electrical cables or other gadget is known as insulation. The time period insulator is likewise used greater specially to consult insulating supports used  to utility poles and transmission towers.to attach electric powered strength distribution or transmission lines

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The spectrum of a very distant galaxy shows features due to carbon, silicon, and sulfur. the presence of these elements in the spectrum tells astronomers that the galaxy must have had an entire generation of stars that was born, lived, and died.

Absorption lines, not emission lines, were discovered in investigations of the Sun's spectrum (dark lines against the brighter continuum). Until Gustav Kirchhoff revealed in 1859 that the same substance can either create emission lines (when a hot gas emits its own light) or absorption lines, the precise origin of these "Fraunhofer lines," as we now refer to them, was unknown for a long time (when a light from a brighter, and usually hotter, source is shone through it). With that finding, spectroscopy became a viable method for analyzing the chemical makeup of stars.

Chemical elements can be found in other things besides stars. We can search for the signatures of elements in any spectrum from any object. Nebula and supernova leftovers are among.

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Answer: As soon as it leaves the barrel.

Explanation:

A bullet fired from a rifle begins to fall immediately upon leaving the barrel. Despite its initial forward momentum, the bullet is subject to the force of gravity.

The gravitational force acts vertically downward and causes the bullet to accelerate downward due to its free fall. However, due to its initial high velocity, the bullet's downward acceleration is minimal compared to its forward motion. As a result, the bullet follows a curved trajectory known as a ballistic trajectory.

Over time, the effects of gravity become more significant, causing the bullet to gradually descend and eventually hit the ground, following a parabolic path.

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Since the kinetic energy equation squares velocity, velocity increases have exponential effects: while doubling an object's mass doubles its kinetic energy, doubling its velocity quadruples it!

The energy of motion, or kinetic energy, is manifested in the motion of a particle, an object, or a group of particles. Kinetic energy is used by any moving thing, including people moving, baseballs being thrown, table crumbs falling, and charged particles in electric fields.

Kinetic energy is divided into three subtypes: vibrational, rotational, or translational. Unsurprisingly, items that vibrate produce vibrational kinetic energy. Moving objects generate rotational kinetic energy, whereas object collisions generate translational kinetic energy.

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7 bright fringes lie between the first and second minima of the diffraction envelope.

Diffraction is defined because of the interference or bending of waves around the corners of an obstacle or via an aperture into the vicinity of the geometrical shadow of the impediment/aperture. The diffracting object or aperture correctly becomes a secondary source of the propagating wave.

Refraction is the alternate in direction of waves that takes place whilst waves journey from one medium to another. Refraction is always accompanied by means of a wavelength and speed alternate. Diffraction is the bending of waves around barriers and openings. the amount of diffraction increases with increasing wavelength.

Calculation:-

Here d = 15 a/2(since there are 15 bright fringes ).

Then for the first minimum which occurs at an angle1

then a sin? 1 =? (m=1)

For the second minimum which occurs at an angle= of 2

then a sin?2 = 2? (m=2)

then we calculate the values of m for which

1 < ?< ?2 for sin?1 < sin?< sin?2 ? < 2m?/15 <2?

that is 1<2m/15 <2

Hence, there are 7 bright fringes.

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Answer:372

Explanation:

The force that pulls items toward the center of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity.

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Answer:

250N

Explanation:

weight of object - air resistance= net force

weight=mg

=30×10

=300N

air resistance =50

300-50=250