A football is kicked with an initial velocity of 10 m/s at an angle of 25 degrees. If it hits the ground 1.5s later, how many meters does it travel?

Answer:

A

Explanation:

ASA was found in the bark of willow trees.

The Acceleration of the system is 6.41 m/s².

Given,

α= 15°, m₁ = 7kg

β= 65°, m₂ = 11 kg

Let, a be the acceleration and T is the tensions at the end it's the cord.

Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,

Resultant force, m₂a=m₂g sin β -T

11a=((11) ×g sin 65°) -T  ...(i)

Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.

Resultant force m₁a = m₁g sin α+T

7a =7g sin 15°+T  ...(ii)

Solving both the equations by adding them,

18a=11gsin 65°+7g sin 15°-T+T

18a=11gsin 65°+7g sin 15°=115.45

a=115.45/18=6.41 m/s²

Hence, the Acceleration of the system is 6.41 m/s².

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The magnitude of the acceleration that the engine must produce is  0.065 m/s².

Acceleration is given by the ratio of Resultant or total force acting on any object and the its mass.

It can also be defined as the rate change of velocity with time.

acceleration a = (Δv) / (Δt)

Given is a lunar probe is moving 1670 m/s at a 73° angle. it needs to land on the moon  3.71 x 10⁸ m away in a 46° direction in 8.64 x 10⁴ s.

The initial velocity will be

1670 x cos (73°-46°) = 1487.981 m/s

Using the second equation of motion, we have

s = ut + 1/2 at²

The final velocity will be zero after landing on Moon.

Substituting the values, we have

3.71 x 10⁸=  1487.981 x  8.64 x 10⁴ + 1/2 a ( 8.64 x 10⁴)²

Solving the equation, we get

acceleration, a = 0.065 m/s²

Thus, the magnitude of the acceleration that the engine must produce is   0.065 m/s²

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Answer:

The direction is 30.6

Explanation:

Answer:

[tex]\huge\boxed{\sf \lambda = 2 m}[/tex]

Explanation:

Frequency = f = 200 Hz

Velocity = v = 400 m/s

Wavelength = λ = ?

v = fλ

Put the givens in the formula

400 = (200)λ

Divide 200 to both sides

400/200 = λ

2 m = λ

λ = 2 m

[tex]\rule[225]{225}{2}[/tex]

Suppose the resistance of a copper wire is 1.05 ohms at 30°C. the temperature is mathematically given as

T=139.89

Generally, the equation for the coefficient of change is mathematically given as

[tex]\mu_k= 0.2+(0.043)3\\\\\mu_k=0.2+(0.043)(4.343)[/tex]

[tex]\mu_k=0.387[/tex]

In conclusion, the Temperature of copper

[tex]R=R_0( 1+ \alpha(T-T1))[/tex]

1.5(1+0.005(T-30))

T=139.89

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Johannes Kepler contributed to the study of planets : He provided mathematical support for the heliocentric model.

Kepler's first law of planetary motion states that the planets revolve around the Sun in orbits elliptical in shape with the Sun at its one of the focus.

As the planets rotate around the Sun, the relative distance between the Sun and planets increases and decreases.

The heliocentric model in which the Earth and planets revolve around the Sun at the center of the universe. Johannes gave the mathematical calculations of this model.

Thus, last option is correct.

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Answer:

D

Explanation:

The total angle, in radians, through which a point on the flywheel rotates is 7540 radians

From the question, we are to determine the total angle in radians

Using the formula,

[tex]\omega = \frac{\theta}{t}[/tex]

Where [tex]\omega[/tex] is the angular velocity

[tex]\theta[/tex] is the angle

and t is the time

From the given information,

[tex]\omega = 30 \ rev/s[/tex]

Convert to rad/s

[tex]\omega = 30 \times 2\pi \ rad/s[/tex]

[tex]\omega = 188.496 \ rad/s[/tex]

and t = 40 s

From the formula

[tex]\omega = \frac{\theta}{t}[/tex]

[tex]\theta = \omega t[/tex]

∴ [tex]\theta = 188.496 \times 40[/tex]

θ = 7539.822 rad

θ ≅ 7540 rad

Hence, the total angle, in radians, through which a point on the flywheel rotates is 7540 radians

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The actual mass of a 1 cm² piece of copy paper is determined as 0.0074 g.

Area = Length x Width

Area = (11 x 2.54 cm) x (8.5 x 2.54 cm)

Area = 603.22 cm²

Mass = area density/area

Mass = (4.5 gcm²)/(603.22 cm²)

Mass = 0.0074 g

The complete question is below:

A sheet of 8.5 inch by 11inch paper has a mass of 4.50 grams one square centimeter , 1cm2 of that sheet of paper will have a mass closets to ____grams ( (hint use 1inch = 2.54 centimeters and area = length times)

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a. The voltmeter reads 0.053 volts

b. The electromotive force, emf of the battery is 0. 106 volts

a. Given the current  = 1. 15A

Voltmeter reads the voltage = V

Resistance could be gotten from the diagram = R

V = IR

To find the resistance from the structure

First, find the resistance in parallel

Resistance in parallel = 1/R1 = 1/R2 + 1/R3 = 1/25 + 1/15 + 1/15 = 0. 17 Ohms

Now, find the resistance in series

Resistance in series = R1 + R2 + R3 = 45 + 0. 17 + 10 = 55. 17 Ohms

Finally, the  resistance in parallel = 1/35 + 1/55. 17 = 0. 028 + 0. 018 = 0. 046 Ohms

Substitute values into the equation

V = IR

V = 1. 15 * 0. 046

V = 0. 053 Volts

b. To find the Emf, use the formula

Emf =  V + Ir

Substitute the values into the formula

Emf = 0. 053 + 1.15 * 0.046

Emf  = 0. 053 + 0. 0529

Emf = 0. 106 volts

Therefore, the voltmeter reads 0.053 volts and the electromotive force of the battery us 0. 106 volts

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The 12-lead ECG test that shows st-segment elevation in leads v2 and v3 of ≥ 0.2 mv, could be a diagnostic for myocardial infarction.

A 12-lead electrocardiogram (ECG) is a medical test that is recorded using leads, or nodes, attached to the body.

Electrocardiograms, sometimes referred to as ECGs, capture the electrical activity of the heart and transfer it to graphed paper.

When a 12-lead ECG shows st-segment elevation in leads v2 and v3 of ≥ 0.2 mv, it could be a diagnostic for myocardial infarction.

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It is important to avoid an autoincrement primary key column in a many-to-many junction table.

A many-to-many junction table is a junction table which links multiple data in one table to multiple data in another table.

Generally in a many-to-many junction table, it is important to avoid an autoincrement primary key column.

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Answer:

This process is CONDENSATION

Explanation:

Condensation occurs when water vapour loses some of its kinetic energy to a colder body and changes into liquid state.

The youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

It is the rate of the electric work done. Its unit is the watt. Horsepower is the unit of power.

A person under the age of 12 may only legally operate a boat with a motor that has more than 6 horsepower but no more than 35 horsepower

if they meet two requirements: they have a boating safety certificate, which they must have on board; and they are being closely watched by an adult who is at least 16 years old.

Hence the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

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The energy of the sun Is a response for the life on earth The planet might take a seat down withinside the liveable radius starting from 0. eighty-five AU to two AU.

The large the planet quicker will be the rotation speed, and therefore shortest the time to take rotate across the axis. The large planets are exceedingly greater solid whilst as compared to the small planet system.

The hazards are

• With improved size, the quantity of gravitational enchantment posed via way of means of the planet might additionally increase. This might cause attracting outer area asteroids and consequential crater impact.

• The large the size, the farther it'd be from the big name to atone for the hydrostatic balance, hence reducing the possibilities for it being an inhabitable area.

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Explanation:

first change m/s to km/hr and time 1 year to hour b/c we are asked the to give in km. so,

v=17,000 m/s = 17000×3600/1000 = 61,200 km/hr

t= 1 year= 365 days =365day×24 hr/day = 8,760hr

therefore, V = s/t from this s = v×t =61200×8760 =536,112,000 Km

Answer:

in the thick part of the scissors ✂️

Explanation:

because in physics simple machine called wedge the force applied in this thick area it have thine side used to split or piece objects

Answer:

a = 0.5m.s²

Explanation:

Fnet = m×a

50 = 100×a

a = 0.5

The crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

According to Newton's third law of motion, action and reaction are equal and opposite.

The car with rigid body will exert maximum force to the driver while the car with crumple zone will exert lesser force to the driver since the crumple zone will act as shock absorber, reducing the impact of the force on the driver.

Thus, the crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

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The acceleration that the same force will provide if both masses are tied together is; 6.0 m/s².

We are given;

Force; F = 5 N

Acceleration of the first mass, a₁ = 8.0 m/s²

Acceleration of the second mass, a₂ = 24 m/s²

Formula for force is;

F = ma

Let us find both masses; m₁ and m₂.

m₁ = F/a₁

m₂ = F/a₂

Thus;

m₁ = 5/8 kg

m₂ = 5/24 kg

Total mass is; m = m₁ + m₂

m = 5/8 + 5/24

m = 15 + 5/24

m = 20/24 kg

Thus, acceleration if they are both tied together is;

a = F/m

a = 5/(20/24)

a = 6.0 m/s².

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Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T

Given that;

First scenario

Second scenario

First, we determine the strength of the magnetic field.

B/I = B'/I'

0.004T/20A = B'/40A

B' = ( 0.004T × 40A ) / 20A

B' = 0.16AT / 20A

B' = 0.008T

Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T

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Answer:

B describes the best ...

The action-reaction pairs in the given situation are:

Action-reaction pairs are two forces which are equal but oppositely directed in their line of action.

Action-reaction pairs are according to Newton's third law of motion.

The action-reaction pairs in the given situation are:

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For Kepler's third law this can be solved as normal ratios

The number of asteroids which will be detected during the second measurement is 1333.34.

These are referred to objects which revolve round the sun and are characterized by their small rocky shape.

Kepler's third law can be used to solved it using normal ratios

1000/60=x/80

100/6 = x/80

6x = 8000

x= 8000/6

x=1333.34asteroids

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Answer:

π/10 rads

Explanation:

It takes an hour (60 minutes) for the minute's hand to turn a full circle or achieve an angular rotation of

2πl rad.

Now, number of periods of 3 minutes in an hour is;

Number of periods = 60/3 = 20 periods

Thus, 3 minutes rotation accounts for 1/20 of 2π the rotation of the minute's hand in an hour.

Thus;

Angular displacement = (1/20) * 2π = π/10 rads

Answer:

Correct option is A)

Weight on earth = 600N

Let g= 10m/s2 on earth

Mass on earth = 10600=60 kg

Now, since mass is a constant quantity so, it will remain 60 kg on the moon also.

Now, weight on moon = mg′

m= mass =60 kg

g′ = acc. due to gravity on moon = 61th the value on earth

So, Weight on moon = 61th of the weight on earth 

⇒ Weight on the moon =600×61=100 N

Object spins around its own axis, while the object moves around another object.

Earth's rotation or Earth's spin is the rotation of planet Earth around its own axis, as well as changes in the orientation of the rotation axis in space.

The continuous rotation of the Earth about its axis gives rise to the revolution of earth around the sun.

Thus, object spins around its own axis, while the object moves around another object.

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answer: rotating, revolving

Answer:

C.

Explanation:

Bioluminescence is the fascinating natural phenomenon by which living creatures produce light.