You perform an experiment to test how far a cannon will shoot a performer at
different angles. The data are shown below.
Angle
Distance (feet)
110
32°
36°
120
40°
128
440
133
48°
127
52
119
56°
109
60°
100
64°
91
68°
77
72°
63
At which angle will the performer travel the longest distance?

Answer:

out of the screen

Explanation:

because charge +Q is already moving upward

The torque experienced by the root of the tooth about point A when the steel band exerts the given force is 0.713 Nm.

The torque experienced by the root of the tooth about point A is calculated as follows;

τ = rFsinθ

where;

τ = (0.012) x (80) x (sin 48)

τ = 0.713 Nm

Thus, the torque experienced by the root of the tooth about point A when the steel band exerts the given force is 0.713 Nm.

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A) The rotation rate of the ball in rev/secs is ;  10.79 rev/secs

B) The total kinetic energy of in pound-feet ignoring the finger holes is : 37.6157 pound-feet

Given data :

mass of ball = 12 Ib

diameter of ball = 8.5 inches

Radius = 4.25 inches = 0.10795 m

Time = 5 secs

distance travelled = 60 ft  = 18.288 m

First step : calculate the velocity of ball

V = distance / time

  = 18.288 / 5 = 3.66 m/s

Next step :

angular velocity ( w ) = V / r  

                                  = 3.66 / ( 0.10795 ) = 33.90 rad/sec

convert to rev/sec = 33.90 / π

                               = 10.79 rev/secs

given that ball rolls without slipping

Vcon = Rw

Total K.E = 1/2 IW² + 1/2 mv²

               = 7/10 MR²W²

Total K.E = 7/10 *  5.44 * ( 0.10795 )² * 33.90²

               = 50.99 ≈ 51 J

convert to pound-feet = 37.6157 pound-feet

Hence we can conclude that The rotation rate of the ball in rev/secs is ;  10.79 rev/secs  and The total kinetic energy of in pound-feet ignoring the finger holes is : 37.6157 pound-feet.

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Answer:

Helium, Water, Glass, Diamond

Explanation:

light travels slowest though a diamond

Answer:

true

Explanation:

Friction helps your vehicle stop quickly. this statement ids true. Hence option A us correct. A vehicle can stop more rapidly because to friction. The brake pads rub on the turning braking discs or drums when the brakes are applied.

The friction slows the moving vehicle down and eventually causes it to halt by converting its kinetic energy into heat energy.  The effectiveness of the braking action will increase with the level of friction between the brake parts. For rapid stops, friction between the tyre and the road is also important.

The vehicle's forward motion is opposed by friction created by the tyres' gripping action on the road surface, which helps in stopping and decelerating. Rapid vehicle stopping would be incredibly difficult and risky without friction.

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Answer:

4 degrees C

Explanation:

this is just a 'known'

Answer:

22583.5J

Explanation:

KE=1/2 mv^2

=1/2*47Kg*(31m/s^2)

=23.5Kg * 961m/s^2

=22583.5J

Answer:

The π is from the initial formula of period T=2π/omega

coefficient of static friction is 1.7329

Explanation:

given data

velocity = 60 mph

acceleration  = 17 m/s²

to find out

coefficient of static friction

solution

we will apply here centripetal force equation

that is

m×v²/r  =  µ × m × g      ..................1

here v²/r is centripetal acceleration and m is mass and  µ  is coefficient static friction so

µ = a / g

µ = 17 / 9.81

µ  = 1.7329

so coefficient of static friction is 1.7329

Answer:

Explanation:

You can use [tex]\Delta E=\frac{\hbar c}{\lambda} \rightarrow \lambda =\frac{\hbar c}{E} = \frac{1240 eV.nm}{0.0141 eV} \approx 87943.26[/tex] in nm.

Here the hc = 1240 eV.nm in eV and nanometer unit.

Answer:

1/8 = (1/2)^3

This implies the sample has decayed for 3 half lives

3 * 5730 yrs = 17,200 years

Answer:

false

Explanation:

because no machines have 100% efficient

200 Joules should be supplied in the circuit.

Here the output is 30J and input is missing

[tex]\sf \dfrac{30}{I} * 100 = 15[/tex]

multiplied with 100, to covert it into percentage

[tex]\sf 3000 = 15(I)[/tex]

[tex]\sf I = \dfrac{3000 }{15}[/tex]

[tex]\sf I = 200J[/tex]

Let that be X

[tex]\\ \rm\Rrightarrow \dfrac{30}{x}(100)=15[/tex]

[tex]\\ \rm\Rrightarrow 3000=15x[/tex]

[tex]\\ \rm\Rrightarrow x=200J[/tex]

The pictorial diagram with a rocket launched straight upward, showing the first three positions of the rocket with equal spacing between them, best illustrates projectile motion. In this case, the rocket is projected upward into the air, and its path follows a parabolic trajectory due to the influence of gravity.

Projectile motion refers to the motion of an object that is thrown, launched or otherwise projected into the air and then moves under the influence of gravity alone. In this type of motion, the object moves along a curved path, called a parabola, due to the combined effect of its initial velocity and the force of gravity acting on it.

When a rocket is launched straight upward, it experiences a projectile motion. The rocket's initial velocity is upwards, but gravity causes it to decelerate until it eventually stops at the highest point of its trajectory. The rocket then starts to fall back down, accelerating due to gravity until it reaches the ground. If we take three equal intervals of time, we can show the rocket's positions at those times. Initially, the rocket will be moving upwards with a decreasing velocity, then it will reach its maximum height before falling back down with an increasing velocity.

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Answer: I believe it should be the final answer,

A pictorial diagram of a person hopping sideways at 5 different positions. The start and end positions are on the ground. The third image is the highest off the ground

Explanation:

Answer:

South of East

Explanation:

If vector A points north and vector B points east, then vector C, calculated as C = B - A, will point in the direction of the resultant vector when subtracting vector A from vector B. Vector C points in the northeast direction.

Since vector A points north and vector B points east, we can visualize this on a coordinate plane. Let's assume that vector A has a magnitude of 1 and vector B has a magnitude of 1 as well. Vector A would be pointing directly upward (north), and vector B would be pointing directly to the right (east).

When subtracting vector A from vector B (C = B - A), we can visualize it by starting at the tail of vector A and drawing the resultant vector to the head of vector B. The resultant vector C would be a diagonal vector pointing northeast, forming a 45-degree angle with the positive x-axis. Therefore, vector C points in the northeast direction.

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Answer:

Lightning

Explanation:

Lightning during a thunderstorm is an example of electrical energy. It is the visible discharge of atmospheric electricity. As lightning heats the air, it creates a shock wave that causes the sound of thunder.

hope this helps :)

Since the frequency of sound in a medium is constant, therefore, the concert-goers would hear the low notes and high notes at the same time.

A dispersive medium is a medium which spreads out or disperses a substance passing through it.

Since CO2 is a dispersive medium, it means sound waves passing through it would be dispersed based on wavelength.

The note of a sound depends on its frequency, the higher the frequency, the higher the note.

Frequency of sound is constant, therefore, the concert-goers would hear the low notes and high notes at the same time.

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Explanation:

[tex]\longmapsto\: \red{ hello \: mate}[/tex]

OPTION (C) 3

is the angle of refraction

Answer:

Option C. 3

Explanation:

Refraction is the change in direction of light passing from one medium to another. Angle 1 and 2 are reflection due to the bouncing of light.

Answer:

overtone- one over the first

n skips by twos

4 antinodes

500 Hz

Explanation: Hope this helps :)

Answer:

[tex] Angle \: at \: which \: minimum \: deviation \: occur = 37.18\degree[/tex]

Explanation:

Given:

Refractive index of prism μ = 1.5

Since the prism is equilateral,

Angle of prism A= 60°

To find:

Angel of incidence for which minimum deviation can occur(δm) ?

Solution:

We know that,

The refractive index, Angle of prism and angle of minimum deviation are correlated with formula,

[tex]\mu \: = \frac{sin( \frac{A + \delta_m}{2} )}{sin \frac{A}{2} } [/tex]

Where symbols have their usual meaning.

Substituting the value from given data in formula,

[tex] \mu \: = \frac{sin( \frac{A + \delta_m}{2} )}{sin \frac{A}{2} } \\1.5\: = \frac{sin( \frac{60 + \delta_m}{2} )}{sin \frac{60}{2} } \\ {sin( \frac{60 + \delta_m}{2} )} = 1.5 \times sin30 \\ {sin( \frac{60 + \delta_m}{2} )} = 1.5 \times 0.5 \\ {sin( \frac{60 + \delta_m}{2} )} = 0.75 \\ \frac{60 + \delta_m}{2} = {sin}^{ - 1}(0.75) \\ \frac{60 + \delta_m}{2} = 48.59 \: \degree \\ \delta_m = (48.59 \times 2) - 60\degree \\ \delta_m = (48.59 \times 2) - 60\degree \\ \delta_m = (97.18 - 60)\degree \\ \delta_m = 37.18\degree[/tex]

[tex] Angle \: at \: which \: minimum \: deviation \: occur = 37.18\degree[/tex]

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Answer:

power is measured in watts and its the messure of work over time.

Explanation:

Answer:

Almost winter so fall

Explanation:

Hope this helps! Please let me know if you want me to elaborate more or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer: 3V

Explanation:

If the capacitor is connected to a 3V battery:

[tex]\bold{V = \frac{Q}{C} }[/tex]

The potential difference is also 3V on the capacitor

Answer:

Beaker

Graduated Cylinders

Volumetric flask

Test tube

Funnel

Answer:

Newton's third Law

Explanation:

Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

The magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².

Centripetal acceleration of an object is the rate of change of object's velocity with time, and it is directed inwards.

The magnitude of the centripetal acceleration of the air plug on a car tire is calculated as follows;

ac = ω²r

where;

[tex]\omega = 250 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} \\\\\omega = 26.18 \ rad/s[/tex]

ac = (26.18)² x 0.45

ac = 308.43 m/s²

Thus, the magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².

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Answer:

Explanation:

A rocket designed to place small payloads into orbit is carried to an altitude of 12.0 km above sea level by a converted airliner. When the airliner is flying in a straight line at a constant speed of 850 km/h, the rocket is dropped. After the drop, the airliner maintains the same altitude and speed and continues to fly in a straight line. The rocket falls for a brief time, after which its rocket motor turns on. Once its rocket motor is on, the combined effects of thrust and gravity give the rocket a constant acceleration of magnitude 3.00g directed at an angle of 30.0° above the horizontal. For reasons of safety, the rocket should be at least 1.00 km in front of the airliner when it climbs through the airliner’s altitude. Your job is to determine the minimum time that the rocket must fall before its engine starts. You can ignore air resistance. Your answer should include (i) a diagram showing the flight paths of both the rocket and the airliner, labeled at several points with vectors for their velocities and accelerations; (ii) an x-t graph showing the motions of both the rocket and the airliner; and (iii) a y-t graph showing the motions of both the rocket and the airliner. In the diagram and the graphs, indicate when the rocket is dropped, when the rocket motor turns on, and when the rocket climbs through the altitude of the airliner.

Answer:

It has gravitational energy because of its height above some reference point.

It also contains thermal energy due to the motion of the contained atoms and molecules.

Answer:

b and c :)

Explanation:

A scientist decreases the wavelength of the light used in a double-slit experiment and keeps every other aspect the same. The new interference pattern seen on the screen compared to the original interference pattern is the spacing between the bright fringes will increase. Thus, the correct option is A.

Interference is the net effect of the combination of two or more wave forms or trains which are moving on intersecting or coincident paths in a medium. The effect of this pattern is that of the addition of the amplitudes of the individual waves at each point which are affected by more than one wave in the medium.

A scientist when decreases the wavelength of the light used in a double-slit experiment and it keeps every other aspect of the wave the same. The new interference pattern seen on the screen as compared to the original interference pattern is that the spacing between the bright fringes will increase.

Therefore, the correct option is A.

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