4. A football player has a mass of 75 kg, and he is running with a velocity of 18 m/s. What is his momentum? Answer:​

Answer:

The second drop is 3.75 m above the ground

Explanation:

Free Fall Motion

A free-falling object falls under the sole influence of gravity without air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.8 m/s^2[/tex].

The distance traveled by a dropped object is:

[tex]\displaystyle y=\frac{gt^2}{2}[/tex]

If we know the height h from which the object was dropped, we can find the time it takes fo hit the ground:

[tex]\displaystyle t=\sqrt{\frac{2y}{g}}[/tex]

When the first drop touches the ground there are two more drops in the air: the second drop still traveling, and the third drop just released from the tap.

The total time taken for the first drop to reach the ground is:

[tex]\displaystyle t_1=\sqrt{\frac{2*5}{g}}[/tex]

[tex]t_1 = 1.01\ s[/tex]

Half of this time has taken the second drop to fall:

[tex]t_2 = 1.01\ s/2=0.505\ s[/tex]

It has fallen a distance of:

[tex]\displaystyle y_2=\frac{9.8(0.505)^2}{2}[/tex]

[tex]y_2 = 1.25\ m[/tex]

Thus its height is:

h = 5 - 1.25 = 3.75

The second drop is 3.75 m above the ground

Answer:

The value is  [tex]f = 0.36 \ m[/tex]

Explanation:

From the question we are told that

  The radius of curvature is  [tex]R = 0.72 \ m[/tex]

Generally the radius of curvature is mathematically represented as

        [tex]R = 2f[/tex]

Here [tex]f[/tex] is the focal length hence

       [tex]f = \frac{R}{2}[/tex]

=>     [tex]f = \frac{0.72}{2}[/tex]

=>     [tex]f = 0.36 \ m[/tex]

Answer:

T = 10 s

Explanation:

First, we need to find the frequency of the object as follows:

[tex]Frequency = f = \frac{Speed\ in\ rpm}{60}[/tex]

where,

Speed = Angular Speed = 6 rpm

Therefore,

[tex]f = \frac{6\ rpm}{60}\\\\f = 0.1\ Hz[/tex]

Now, for time period (T):

[tex]Time\ Period = T = \frac{1}{f}\\\\T = \frac{1}{0.1\ Hz}\\\\[/tex]

T = 10 s

Answer:

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Answer:

no

gravitational force between them is far smaller than the frictional force between the guy and the bench

Given that,

Mass of the object, m = 1 kg

It moves in a circle of radius 0.5 m with a speed of 5 m/s

To find,

The direction of the acceleration.

Solution,

Whenever an object moves in a circular path, the only force that acts on its is centripetal force which is given by the formula as follows :

[tex]F=\dfrac{mv^2}{r}[/tex]

The centripetal acceleration acts in the direction of force. It acts along the radius of the circular path. In this figure, the direction of the acceleration is shown at point d.

Answer:

D!

Explanation:

took the test

Answer:

The heat absorbed in each cycle is 9,234.286 J

Explanation:

Given;

power output, P = 5 kW = 5,000 W

efficiency of the engine, e = 30 % = 0.3

thermal heat expelled, [tex]Q_c[/tex] = 6464 J

let the heat absorbed = [tex]Q_h[/tex]

The efficiency of the engine is given as;

[tex]e = \frac{W}{Q_h} = \frac{Q_h-Q_c}{Q_h} = \frac{Q_h}{Q_h} - \frac{Q_c}{Q_h} = 1-\frac{Q_c}{Q_h}\\\\e = 1-\frac{Q_c}{Q_h}\\\\0.3 = 1-\frac{Q_c}{Q_h}\\\\\frac{Q_c}{Q_h} = 1-0.3\\\\\frac{Q_c}{Q_h} = 0.7\\\\Q_h = \frac{Q_c}{0.7} \\\\Q_h = \frac{6464}{0.7} = 9,234.286 \ J.[/tex]

Therefore, the heat absorbed in each cycle is 9,234.286 J.

1 x 10⁻¹² C are stored in the system.

The power required to move a charge in opposition to an electric field is known as electric potential energy. A charge must be moved through a stronger electric field with more energy, but it also must be moved through a weaker electric field with more energy.

Electric potential at a place in an electric field is the amount of work done to move the unit positive charge from infinity to that point, and electric potential energy is fundamentally different.

Given are the following values: Stored charge, Q= 1x 10⁻¹⁰ C Voltage, V=100 v

We are aware that the formula for a system's capacitance is C=Q/V

= 1 x 10⁻¹⁰ / 100.

=1 x 10⁻¹² C

As a result, it is the necessary remedy.

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Answer:

a spring scale

Explanation:

i think it is correct

Answer:

i believe that they are or there's something out there

Explanation:

:)

velocity of the train is same so acceleration of the train is zero.

Acceleration of an object is known as change in velocity of the object. For a given interval of time.

Distance travelled by the train in first second is, d₁ = 6m

Distance travelled by the train in the 2nd second is, d₂ = 6m

Distance traveled by the train in 3rd second, d₃ = 6m

Formula for the velocity of the train.

v= d/t

where v is velocity

d is distance travelled

t is time taken

For first second velocity is

v₁ = d₁/t₁

v1 = 6/1s = 6m/s

for 2nd second velocity is

v₂= d₂/t₂

v₂ = 6/1 = 6m/s

for 3rd second velocity is

v₃ = d₃/t₃

v₃ = 6/1 = 6m/s

here we saw that the speed of train remains constant for each interval of time. So change of velocity is zero.

velocity of the train is same so acceleration of the train is zero.

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Explanation:

Because it is the easiest branch of science to understand

A crow flies forward and backward. Its motion is shown on the following graph of horizontal position x vs. time t.

What is the instantaneous velocity of the crow at t = 9 s?

Answer: -0.50 m/s

A crow flies forward and backward. Its motion is shown in the following graph and the instantaneous velocity of the crow at t = 9 s is -0.5 m/s.

From the figure, it shows that from t = 8sec to t = 12 sec the displacement is decreasing, so velocity will be the slope of the straight line.

The velocity is given by:

velocity = -Δx ÷ Δt

velocity = (-2) ÷ (12-8)

velocity = -2 ÷ 4

velocity = -0.5 m/s

Therefore, A crow flies forward and backward. Its motion is shown in the following graph and the instantaneous velocity of the crow at t = 9 s is -0.5 m/s.

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Ranking Earthquake Intensity

Magnitude Average number per year Modified Mercalli Intensity

2.0 – 2.9 >1 million I

3.0 – 3.9 about 100,000 II – III

4.0 – 4.9 about 10,000 IV – V

5.0 – 5.9 about 1,000 VI – VII

Explanation:

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Answer:

Humans can detect sounds in a frequency range from about 20 Hz.

The magnitude of the velocity of the truck relative to the car is 183.9 km/h

The direction of the velocity of the truck relative to the car is 67 ⁰ north of west.

The velocity of the truck relative to the car is the resultant velocity of the vehicles.

The resultant velocity of the car is calculated as follows;

Vyi = 119 km/h

Vy2 = 87.7 km/h x sin(35) = 50.3 km/h

Vy(total) = 119 km/h + 50.3 km/h = 169.3 km/h

Vx = -87.7 x cos(35) = -71.84 km

v = √Vy² + Vx²

v = √[(169.3²) + (-71.84)²]

v = 183.9 km/h

θ = arc tan(Vy/Vx)

θ = arc tan(169.3 / -71.84)

θ = -67 ⁰

θ = 67 ⁰ north of west.

Thus, the magnitude of the velocity of the truck relative to the car is 183.9 km/h and the direction of the velocity of the truck relative to the car is 67 ⁰ north of west.

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Answer:

Electromagnetic waves carry energy.

Explanation:

The waves consist of transverse vibrations in electrical and magnetic fields, not vibrating particles.

Answer:

resultant increases by factor of 1.12

Explanation:

EDITED :

Assume force = 1  for simplicity and one vector is on the x axis

at 55 degrees

   horizontal components = 1 + cos 55 = 1.574

   vertical component = sin 55 = .8192

         resultant = 1.77

at 15 degrees

    horizontal components = 1 + cos 15 = 1.966

    vertical component  = sin 15 = .2588

         resultant = 1.98

resultant increases by  1.98 / 1.77 = 1.12 original

The horizontal distance of the penny from the base of the table is v(2y/g)^1/2.

The distance the coin lands from the base of the table is 1.0 m

The time of motion of the penny is calculated as follows;

y = vt + ¹/₂gt²

where;

y = ¹/₂gt²

2y = gt²

t² = 2y/g

t = √(2y/g)

The horizontal distance of the penny is calculated as;

X = Vₓt -----(1)

where;

Substitute the value of "t" into equation (1)

X = v(√(2y/g)),

X = v(2y/g)^1/2, shown

Use the formula above to determine the distance the coin lands from the base of the table.

X = v(√(2y/g)),

X = 3.5[√(2x0.4/9.8)]

X = 3.5(0.2857)

X = 1.0 m, shown

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Answer: The acceleration is roughly 9.3 m/s^2

The acceleration is positive.

=====================================================

Work Shown:

Using Newton's Second Law, we get,

F = m*a

52 = 5.6a

5.6a = 52

a = 52/5.6

a = 9.28571428571429 which is approximate

a = 9.3

I rounded to 2 significant figures because both 52 and 5.6 are to 2 sig figs.

The acceleration is positive because the student applied an upward force.

The units for the acceleration are in meters per second squared, abbreviated as m/s^2.

An acceleration of 9.3 m/s^2 means that after every second, the velocity has increased by 9.3 m/s.

Answer:

a = 0.16 [m/s²]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}=v_{o}+a*t\\[/tex]

where:

Vf = final velocity = 3.2 [m/s]

Vo = initial velocity = 1.1 [m/s]

t = time = 13 [s]

a = acceleration [m/s²]

Now replacing:

[tex]3.2=1.1+a*13\\2.1=13*a\\a=0.16[m/s^{2} ][/tex]

The statements that are true are

A satellite is a moon, planet of machine that orbits a planet or a star.

From the diagram, we see that X is a planet, Y is a planet and also a moon to X and z is amoon to Y and Z

Since X does not orbit Y but Y orbits X.

So, the statement is false.

Since Y does not orbit Z but Z orbits Y.

So, the statement is false.

Since X does not orbit Y but Y orbits X, and Z orbits Y.

Since only Z orbits Y, then the statement is false.

Since Z orbits Y and Y orbits X and invariably, Z also orbits X. So, Y and Z orbit X.

So, the statement is true

Since Y orbits X but Z orbits Y, Y is a satellite for X but not Z, since Z orbits Y and is a satellite for Y.

Since Y is only a satellite for X and not Z,

So, the statement is false.

Since Y orbits X, so Y is a satellite for X.

So, the statement is true.

Since Z orbits Y, so Z is a satellite for Y.

So, the statement is true

So, the statements that are true are

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Answer:

The image formed by a convex mirror will always have its smaller than the size of the object no matter what the position of the object.

Explanation:

The image formed by a convex mirror will always have its smaller than the size of the object no matter what the position of the object.

Also notice that convex mirror always makes virtual images.

Another feature of the convex mirror is that an upright image is always formed by the convex mirror.

An important mirror formula to remember which is applicable for both convex and mirrors

Here:

'u' is an object which gets placed in front of a spherical mirror of focal

length 'f' and image 'u' is formed by the mirror.

Answer:

right side up

Explanation:

heat and thermal energy can be differentiated as is that thermal energy is not actually transferred. It is not moving, but remains part of the system's internal energy. Heat, on the other hand, is a passing energy. H. Energy transferred from a hotter system.

In summary, thermal energy is the energy hipster. As such, it cannot be converted into other types of energy. Only the difference in thermal energy can be converted/used to do work. Such processes are never 100% efficient. Every energy form that cannot be recovered.

Thermal energy transfer occurs in three ways: convection, conduction and radiation. When heat energy is transferred between adjacent molecules that are in contact with each other, it is called conduction

Thermal energy and temperature are closely related. However, temperature is the average kinetic energy of matter particles and thermal energy is the total kinetic energy of matter particles.

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Answer:

its it filled with energy

Answer:

The light slows down.

Explanation:

Answer: c. 1.89 x 10^14 J

Explanation:

By Einstein's equation, we know that:

E = m*c^2

Where m is the mass-consumed in this case:

m = 2.10g

And we must rewrite this in Kg, knowing that:

1kg = 1000g

Then:

m = 2.10g = (2.10/1000) kg = 0.0021 kg

And c is the speed of light:

c = 3*10^8 m/s.

Then the energy will be:

E = 0.0021 kg*(3*10^8 m/s)^2 = 1.89*10^14 Joules.

The correct option is:

c. 1.89 x 10^14J

Answer:

a) [tex]F_{x} = 58.2 N[/tex]

[tex] F_{y} = 48.9 N [/tex]

b) a = 1.5 m/s²

Explanation:

a) The horizontal and vertical components of Emily's force can be found knowing the angle and the exerted force.

Since the handle is inclined at 40.0° below the horizontal we have:

[tex] F_{x} = |F|*cos(\theta) = 76.0 N*cos(40) = 58.2 N [/tex]

[tex] F_{y} = |F|*sin(\theta) = 76.0 N*sin(40) = 48.9 N [/tex]

b) The acceleration of the car can be calculated as follows:

[tex] F_{x} = ma [/tex]        

We used the horizontal component of the force because the cart is moving in that direction.

[tex] a = \frac{F_{x}}{m} = \frac{58.2 N}{38.8 kg} = 1.5 m/s^{2} [/tex]

Hence, the acceleration of the car is 1.5 m/s².    

I hope it helps you!

Answer:

Explanation:

4 is right

Answer:

Explanation:

The velocity of sound wave is expressed using the formula;

[tex]v = f \lambda[/tex] where

f is the frequency

[tex]\lambda\\[/tex] is the wavelength

Given

f = 1300Hz

v = 38m/s

Required

wavelength [tex]\lambda\\[/tex]

From the formula;

[tex]\lambda\\[/tex] = v/f

[tex]\lambda\\[/tex] = 38/1300

[tex]\lambda\\[/tex] = 0.0292m

Hence the required value of the wavelength is 0.0292m

The wavelength of a stationary listener is 0.029 m.

The given parameters;

The wavelength of a stationary listener is calculated as follows;

[tex]v = f\lambda[/tex]

where;

λ is the wavelength of the sound wave

The value of the wavelength is determined as;

[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{38}{1300} \\\\\lambda = 0.029 \ m[/tex]

Thus, the wavelength of a stationary listener is 0.029 m.

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The average velocity during the time interval is (V)=4m/s.

Velocity is a expression of the displacement that an object or particle undergoes with respect to time. Velocity is a vector quantity. The average velocity means total distance divided by total time.

To calculate the average velocity we are using the formula,

Vₙ = (v₁+v₂)/2

Here we are known,

v₁= The position of a particle moving along the x-axis with the average velocity during the time interval from t = 1.0 s

v₂= The position of a particle moving along the same x-axis with the average velocity during the time interval from t = 4.0 s

We have to calculate, the average velocity during the time interval= Vₙ

To calculate the velocities we are using the formula,

v = dx/dt

Here, x=11+14t-2t²

v=dx/dt=14-4t

At, t=1.0s, v₁=14-4*1=10m/s

At, t=4.0s, v₂= 14-4*4=-2m/s

Now, the average velocity is,

Vₙ =(v₁+v₂)/2

Or, Vₙ =(10-2)/2

Or, Vₙ =4m/s

Thus from the above calculation we can conclude that, the average velocity during the time interval from t = 1.0 s to t=4.0 s is (V)=4m/s.

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The position of a particle moving along the x-axis is given by x = (11 + 14t – 2.0t²), where t is in seconds and x is in meters. What is the average velocity during the time interval from t = 1.0 s to t = 4.0 s