A movie stunt driver on a motorcycle speeds horizontally off a 50.0 m high cliff. how fast must the motorcycle leave the cliff-top if it is to land on level ground below, 90.0 m from the base of the cliff where the cameras are

Answers

Answer 1
This is a projectile motion problem, so, we use the formula for trajectory:

y =xtanα + gx^2/2v^2(cosα)^2

where 
y is the vertical distance (y = 50 m)
x is the horizontal distance (x=90 m)
α is the angle of trajectory; since it levels of HORIZONTALLY, α = 0°
v is the initial velocity 
g is the acceleration due to gravity which is 9.81 m/s^2

Substituting to the formula,

50 =90tan(0°) + (9.81)(90)^2/2v^2(cos0°)^2
v = 28.2 m/s 
Answer 2

Answer:

The Horizontal component of initial velocity (V0x) must be 28.18 m/s.

Explanation:

Vertical distance = y = 50m    

Horizontal distance = x = 90 m  

We know that,

x = x0 + V0xt  

where,

x0 = Initial distance in horizontal direction = 0  

V0x = x/t = 90/t          ……… (i)

As,  

y = y0 + V0y + ½ gt^2

where,

y0 = Initial distance in vertical direction = 0

V0y = Vertical component of initial velocity = 0

So,

t = √(50)(2)/(9.8)

t = 3.194 s

Put t = 3.194 s in equation (i),

V0x = 90/3.194

V0x = 28.18 m/s


Related Questions

Which one of the following does not accurately describe the universal gravitational law? A. Gravitational force is proportional to the square of the distance between the centers of both bodies. B. The object with the smaller mass does most of the moving because the object with the larger mass has too much inertia to move any noticeable amount. C. Gravitational force is proportional to the product of the two masses. D. Every object in the universe that has mass attracts every other object in the universe that has mass.

Answers

A. Gravitational force is proportional to the square of the distance between the centers of both bodies.

FALSE:

Gravitational force is inversely proportional to the square of the distance between the centers of both bodies.

Which you can see from the formula: F = G * [m*M] /(d^2)

As you see in the equation, d^2 is in the denominator so the bigger d^2 (the square of the distance between the centers) of the objects the smaller the gravitational force.

B. The object with the smaller mass does most of the moving because the object with the larger mass has too much inertia to move any noticeable amount.

TRUE:

F = mass * acceleration => acceleration = F / mass => the larger the mass the smaller the acceleration.


C. Gravitational force is proportional to the product of the two masses.

TRUE:

F = G [m*M] / (d^2)

The product of the two masses, m*M, is in the numerator, so F is proportional to this product.

D. Every object in the universe that has mass attracts every other object in the universe that has mass.

TRUE: that is a Universal Law discovered by Sir Isaac Newton.

If mechanical energy is conserved, then a pendulum that has a potential energy of 20 J at its highest point and 0.5 J at its lowest point has _____ as its kinetic energy at its lowest point.

20 J
0.5 J
19.5 J
20.5 J

Answers

At the highest point: kinetic energy is 0 due to the speed  is 0

So the total mechanical energy is 20

Assume no frictions present, then the mechanical energy is conserved

So at the lowest point, kinetic energy = mechanical energy - potential energy

Answer will be 20 - 0.5 = 19.5 J

Answer:

The third answer is correct:)

Explanation:

When an object slides across the floor, it is slowed down by friction and the floor surface gets warmer. what energy conversion process takes place in this situation?

Answers

The movement of the object is considered to be kinetic energy while the object getting warmer indicates that there is thermal (heat) energy formed.

Based on this, as the object slides across the floor, friction slows down this motion and the object becomes warmer as kinetic energy is converted into thermal energy.

F a thermometer is calibrated to the nearest degree, to what part of a degree can you estimate the temperature it measures?

Answers

Readings are to the nearest 1/10, 0.1, or 0.01.

By dividing the temperature by two and adding 30 to the result, you can convert a temperature in Celsius to Fahrenheit. You will receive a rough temperature in Fahrenheit from this.

What is the reason Fahrenheit used instead of Celsius?

For more accurate temperature measurements, use Fahrenheit. Additionally, it is preferable since people are more concerned about air temperature than water temperature.

Because of these factors, we ought to embrace Fahrenheit as a unit of temperature measurement rather than reject it in favor of its metric equivalent.

Fahrenheit and Celsius temperature scales are seen on the majority of thermometers. Read the °F figures (degrees of Fahrenheit).

Therefore, To get a more accurate approximation, multiply the temperature by 2, take out 10%, and then add 32 to the result.

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When you drop a sugar cube in a glass of water, at first the water doesnât taste sweet. later, it tastes very sweet.what causes the change in the waterâs taste?

Answers

the sugar dissolves.

Describe at least 2 resources (i.e. places, people, books, etc.) that can help you to maintain the life of your car.

Answers

Properly maintaining of you car can reduce future repair costs, optimize the car’s performance, maintain its value and extend its life. 
In order to maintain the life of your car the following resources are important:
1. Oil 
Changing the oil every 3000 miles is essential for your engine and so for the life of your car.
2. Places 
Driving your car on good roads (roads suitable for the type of car) will also maintain your car's performance and extend its life.
3. Regarding people as a resource, checking your car regular at auto mechanics.  

Electromagnetic radiation with a wavelength of 445 nm appears as blue light to the human eye. the energy of one photon of this light is ________ j.

Answers

Final answer:

The energy of one photon of light with a wavelength of 445 nm can be calculated using Planck's equation, E = hv. This requires converting the wavelength to frequency using c = wavelength times frequency, and then substituting the frequency back into Planck's equation. The energy of one photon of 445 nm blue light is approximately 4.47 x 10^-19 Joules.

Explanation:

To determine the energy of one photon of light with a wavelength of 445 nm (visible light electromagnetic radiation), we can use Planck's equation, which states E = hv (energy equals Planck's constant times frequency). However, we must first convert wavelength to frequency via the speed of light equation (c = wavelength times frequency). After getting the frequency, we can substitute it back into the Planck's equation.

By doing these calculations, we find:

First, we convert the wavelength from nm to m: 445 nm = 445 x 10^-9 m.Next, we determine the frequency (v) using c = wavelength(v). Since c = 3.00 x 10^8 m/s:
v = c/wavelength = (3.00 x 10^8 m/s) / (445 x 10^-9 m) = 6.74 x 10^14 Hz.Finally, we calculate the energy using E = hv:
E= h x v = (6.63 x 10^-34 J.s) x (6.74 x 10^14 Hz) = 4.47 x 10^-19 Joules.

Therefore, one photon of 445 nm blue light has an energy approximately equal to 4.47 x 10^-19 Joules.

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How do scientists determine the age of the solar system?

Answers

By studying meteorites which are the most ancient material in space.

The. Is the time it takes for a wave to complete one cycle

Answers

Period, that's the solution

Answer:

Time period

Explanation:

The time taken by a wave to complete one cycle is called the time period of a wave. It is denoted by T. The number of vibration per second is called the frequency of the wave.

The relation between the time period and the frequency is inverse i.e.

[tex]T=\dfrac{1}{\nu}[/tex]

If the number of vibrations increases its time period will decrease.

Similarly, for a simple pendulum the time period to complete one cycle is :

[tex]T=2\pi\sqrt{\dfrac{l}{g}}[/tex]

l and g are length of pendulum and acceleration due to gravity.

What process is used when electrons are transferred from one object to another to produce static electricity?

Answers

You may have notice when you accidentally rubbed your arm with another, a 'spark' happens. This is a consequence of static electricity. When two objects are rubbed together, the electrons get excited and collide which each other producing the 'spark'. This process is called friction.

The mass of the parts is always ___ the mass of the whole when looking at nuclear masses.

Answers

When looking at nuclear masses we speak of the processes nuclear fision and nuclear fusion. In fission a nucleus breaks up, into two nuclei. In fusion on the other hand two light nuclei combine to form one heavier nucleus. The relation 
E=m*c^2. explains the difference in masses. 
So, in case of nuclear fusion the mass of the parts is always more than the mass of the whole when looking at nuclear masses. In case of nuclear fusion. And in case of nuclear fision, the mass of the parts is always less than the mass of the whole when looking at nuclear masses. In case of nuclear fusion

Answer:

greater than

Explanation:

When looking at nuclear masses, the mass of the parts is always greater than the mass of the whole.

Example with helium:

The atomic number of helium is 2, which means that it has two protons in its nucleus. The most common isotope of helium, ^4He, has two neutrons in addition to the two protons, giving it a mass number of 4. The mass of a proton is about 1.0073 atomic mass units (amu), and the mass of a neutron is about 1.0087 amu. Therefore, the total mass of the four nucleons (two protons and two neutrons) in the ^4He nucleus is:

2 protons x 1.0073 amu/proton + 2 neutrons x 1.0087 amu/neutron = 4.0314 amu

However, the actual (whole) mass of ^4He nucleus is found to be slightly less than the sum of the parts of the masses of its constituent nucleons. This means that the mass of the parts is always greater than the mass of the whole.

Describe how water molecules do not travel with the wave and the transfer of energy in water waves.

Answers

The water molecules only oscillate up and down and not across the wave as water waves are transverse waves. Thus, the oscillations of the particles are perpendicular to the direction of wave propagation.

Liz rushes down onto a subway platform to find her train already departing. she stops and watches the cars go by. each car is 8.60 m long. the first moves past her in 1.80 s and the second in 1.66 s. find the constant acceleration of the train.

Answers

 

The average velocity can be calculated using the formula:

v = d / t

For the 1st car, the velocity is calculated as:

v1 = 8.60 m / 1.80 s = 4.78 m / s

While that of the 2nd car is:

v2 = 8.60 m / 1.66 s = 5.18 m / s

 

Now we can solve for the acceleration using the formula:

v2^2 = v1^2 + 2 a d

Rewriting in terms of a:

a = (v2^2 – v1^2) / 2 d

a = (5.18^2 – 4.78^2) / (2 * 8.6)

a = 0.23 m/s

 

Therefore the train has a constant acceleration of about 0.23 meters per second.

A boy yells in a narrow valley. The sound reflects off of a boulder that is 80 m away. How long will it take to hear the echo if the speed of a sound wave is 320 m/s?

Answers

[tex]Given:\\v=320 \frac{m}{s}\\s=2\cdot 80m=160m\\\\Find:\\t=?\\\\Solution:\\\\v= \frac{s}{t} \;\;\;/\cdot t\\\\vt=s\;\;\;/v\\\\t= \frac{s}{v} \\\\t= \frac{160m}{320 \frac{m}{s}} =0.5s[/tex]

Answer:

0.50 s

Explanation:

you're welcome

The distance, in feet, a moving object has traveled after t seconds is given by 2t/(4 + t). find the acceleration of the object after 5 seconds. (round your answer to three decimal places.)

Answers

Hi! Let me help you!
a = (Vf - Vi)/t ; where distance d = [2(t)]/(4+t), t = 5secs, and Vi = 0 
a = [(2t)/(4+t)]/t <---- working equation
a = {[2(5)]/9}/5 <---- cancel 5
a = 2/9 ft/s^2 <---- Answer

Final answer:

To find the acceleration of a moving object after 5 seconds, given the distance function 2t/(4 + t), we first find the velocity by differentiating the distance function, then find the acceleration by differentiating the velocity. The acceleration after 5 seconds is approximately -0.022 m/[tex]s^2[/tex].

Explanation:

The question involves finding the acceleration of a moving object after 5 seconds, given that the distance it has traveled after t seconds is represented by the function 2t/(4 + t). To find the acceleration, we first need to determine the velocity function by differentiating the distance function with respect to t, and then find the acceleration by differentiating the velocity function with respect to t again.

The velocity v(t) is the first derivative of the distance function s(t) = 2t/(4 + t). Using the quotient rule for differentiation, v(t) = d/dt [2t/(4 + t)]. Calculating the derivative gives us v(t) = 8/(4 + t)^2.

The acceleration a(t) is the derivative of the velocity function. So, a(t) = d/dt [8/(4 + t)^2]. Differentiating this gives a(t) = -16/(4 + t)^3.

Plugging t = 5 into the acceleration function, a(5) = -16/(4 + 5)^3 = -16/729. Therefore, the acceleration of the object after 5 seconds is approximately -0.022 m/[tex]s^{2}[/tex], rounding to three decimal places.

A measure of the total amount of matter an object contains is called

Answers

This measure of the total amount of matter an object contains is called mass. The unit used for mass is the kilogram or kg for short.

I hope this helps!

What is the half-reaction that occurs at the cathode during the electrolysis of molten potassium bromide?

Answers

Final answer:

During the electrolysis of molten potassium bromide, the half-reaction that occurs at the cathode is the reduction of potassium ions (K+) to form potassium metal (K).

Explanation:

The half-reaction that occurs at the cathode during the electrolysis of molten potassium bromide is the reduction of potassium ions (K+) to form potassium metal (K).

The half-reaction can be represented as:

2K+ + 2e- -> 2K

At the cathode, positive ions are reduced and gain electrons to form neutral atoms or molecules.

Determine the density of a rectangular piece of concrete that measures 3.7 cm by 2.1 cm by 5.8 cm and has a mass of 43.8 grams.

Answers

It is customary to work in SI units.

Calculate the volume of the concrete.
V = 3.7*2.1*5.8 cm³ = 45.066 cm³ = 45.066 x 10 ⁻⁶ m³

The mass is  43.8 g = 43.8 x 10⁻³ kg

The density is mass/volume.
Density = (43.8 x 10⁻³ kg)/(45.066 x 10⁻⁶ m³) = 971.9 kg/m³

Answer: 971.9 kg/m³
Final answer:

The density of the concrete is approximately 0.965 g/cm³. The result does not support the statement that rebar is mostly iron.

Explanation:

The density of a substance can be calculated by dividing its mass by its volume. In this case, the mass of the concrete is 43.8 grams and the volume is calculated by multiplying the length, width, and height, which is 3.7 cm x 2.1 cm x 5.8 cm = 45.4014 cm³ (rounded to the nearest 0.0001 cm³). Therefore, the density of the concrete is 43.8 g / 45.4014 cm³ ≈ 0.965 g/cm³.

(b) Since the density of the concrete in (a) is less than the density of iron (approximately 7.87 g/cm³), the result does not support the statement that rebar is mostly iron.


There are 2.2 pounds in a kilogram. If a boy's mass is 40 kg, what is his weight in pounds?

Answers

Hey There! :)

[tex]40*2.2[/tex]
[tex]=88[/tex]

Hope this helps.
-Benjamin

A particle with charge 5 . 0- µ C is placed at the corner of a cube. (Physics Help)? A particle with charge 5.0-µC is placed at the corner of a cube. The total electric flux in N * m^2 C through all sides of the cube is: B) 7.1 x 10^4 D) 1.4 x 10^5

Answers

Gauss law states that the electric flux through any closed surface is proportional to the net electric charge inside the surface. This is expressed mathematically in the form of:

Φ = Q / εo

Where,

Φ = the electric flux = unknown (which we have to find for)

Q = the net electric charge = 5.0 µC = 5 E-6 C

εo = the permittivity of free space = a constant value = 8.85 E-12 C^2 / N m^2

Plugging in the values into the equation will result in:

Φ = 5 E-6 C / (8.85 E-12 C^2 / N m^2)

Φ = 564,971.75 Wb = 5.6 x 10^5 Wb 

A 1.0 kg football is given an initial velocity at ground level of 20.0 m/s [37° above horizontal]. It gets blocked just after reaching a height of 3.0 m.

(a) What is the velocity of the football when it first reaches a height of 3.0 m above the level ground?

(b) What horizontal distance has the ball travelled when it first reaches a height of 3.0 m above ground?

Answers

1) Data:

Vo = 20 m/s
α = 37°
Yo = 0
Y = 3m

2) Questions: V at Y = 3m and X at Y = 3 m

3) Calculate components of the initial velocity

Vox = Vo * cos(37°) = 15.97 m/s

Voy = Vo * sin(37°) = 12.04 m/s

4) Formulas

Vx = constant = 15.97 m/s

X = Vx * t

Vy = Voy - g*t

Y = Yo + Voy * t - g (t^2) / 2

5) Calculate t when Y = 3m (first time)

Use g ≈ 9.8 m/s^2

3 = 12.04 * t - 4.9 t^2

=> 4.9 t^2 - 12.04t + 3 = 0

Use the quadratic equation to solve the equation

=> t = 0.28 s and t = 2.18s

First time => t = 0.28 s.

6) Calculate Vy when t = 0.28 s

Vy = 12.04 m/s  - 9.8 * 0.28s = 9.3 m/s

7) Calculate V:

V = √ [ (Vx)^2 + (Vy)^2 ] = √[ (15.97m/s)^2 + (9.30 m/s)^2 ] = 18.48 m/s

tan(β) = Vy/Vx = 9.30 / 15.97 ≈ 0.582 => β ≈ arctan(0.582) ≈ 30°

Answer: V ≈ 18.5 m/s, with angle ≈ 30°

8) Calculate X at t = 0.28s

X = Vx * t = 15.97 m/s * 0.28s = 4,47m ≈ 4,5m

Answer: X ≈ 4,5 m

A ball thrown with 50N of force accelerates at 25 m/s2.  What is the mass of the ball?

Answers

F=ma
Force is 50N. Acceleration is 25 m/s^2.
50N=m*25 m/s^2
Divide both sides by 25.
mass=2 kg

How much work does the up escalator do on you when you ride it from the lower level to the upper level?

Answers

A=ΔEp
A=Ep2-Ep1
A=mgH2-mgH1
A=mg(H2-H1)

How much work is done when a 185 g tomato is lifted 17.9 m ?

Answers

A=mgh=0.185kg*9.81m/s2*17.9m=32.48J
Final answer:

The work done when lifting a 185 g tomato by 17.9 m is approximately 32.5 joules, calculated using the weight of the tomato as the force and the distance it is lifted.

Explanation:

To calculate the work done when lifting an object, we can use the formula Work (W) = Force (F) × Distance (D) × cos(θ), where θ is the angle between the force and the displacement. In the case of lifting an object vertically, the angle is 0°, so the cosine term is 1, and the equation simplifies to W = F × D. For a 185 g tomato lifted 17.9 m, we first need to convert the mass of the tomato to kilograms by dividing by 1000, which gives us 0.185 kg. The force is equal to the weight of the tomato, which is the mass (m) multiplied by the acceleration due to gravity (g = 9.8 m/s²), F = m × g. Thus, the force is F = 0.185 kg × 9.8 m/s² = 1.813 N. The work done is then W = 1.813 N × 17.9 m = 32.463 J, which we round to 32.5 J when expressing it with three significant figures.

Bob is pushing a lawn mower up a hill with the mower tilting slightly to the right. suppose that we wish to use vectors to determine the total force acting on the mower. what forces should be considered?

Answers

Answer:

Applied force, weight, normal force and frictional force

Explanation:

Bob is pushing a lawn mower up a hill with the mower tilting slightly to the right. We have to write the forces acting on the mower.

The following are the forces that are acting on the mower.

1. Applied force - The force with which Bob is pushing a lawn.

2. Weight - Its weight is equal to, W = m g

3. Normal force - that balances its weight

4. Frictional force - It always opposes the motion of the mower.

Hence, this is the required solution.

The lawn mower is acted upon by four different forces.

Vector quantities are those quantities that posses both magnitude and direction. Force is a vector quantity. Hence, the resultant force acting on a lawn mover can be obtained as the resultant of the four forces that act on the mower.

The four forces that act on the lawn mower are;

Applied forceFrictional forceWeight of the mowerNormal reaction

Hence, the lawn mower is acted upon by four different forces.

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Which condition describes an object having terminal velocity?
a. gravity > air resistance
b. gravity < air resistance
c. gravity = air resistance

Answers

C. gravity = air resistance

Answer:

C. Gravity = air resistance

Explanation:

An object falling down has two forces acting on him:

- Gravity, which acts downward --> the magnitude of this force is constant (equal to [tex]mg[/tex], where m is the mass of the object and g is the gravitational acceleration)

- Air resistance, which acts upward --> the magnitude of this force is directly proportional to v, the speed of the object

When the object starts its fall, the speed is zero (v=0) so only gravity acts and it accelerates the object downward. Therefore, the speed of the object increases, and so does the air resistance, until a point where the air resistance becomes equal to gravity (which is constant): when this occurs, the acceleration of the object becomes zero (because forces are balanced), so the object continues its fall at constant velocity, called terminal velocity.

PLEASE HELP NOW!! Which of the following must be the same for two isotopes of an element?
A. The number of neutrons
B. The atomic number
C. The mass
D. The charge

Answers

B. The atomic number

<<<<<<<<<< B is the answer >>>>>>>

4 1/2 x -17/9. please helpp

Answers

You can multiply a mixed number by an improper fraction. 
Convert the mixed number into an improper fraction:
Multiply the number in front of the fraction (4 1/2) by the denominator.
4*2=8
Add this sum to the numerator.
8+1=9
9/2

Now we can multiply the fractions
9*-17= -153
2*9=18

The fraction would be
-153/18
or -17/2

Hope this helps!
-Benjamin
4 1/2 × -17/9

-17/2 AND -6 1/2

~Hope I helped!~

The angular speed of the minute hand of a watch is:

Answers

The angular speed of the minute hand of a watch is:
-- one revolution per hour
-- 2 pi radians per hour
-- 360 degrees per hour
-- 6 degrees per minute
-- 0.1 degree per second
Final answer:

The angular speed of the minute hand of a watch is calculated by dividing the total angle of rotation (2π rad) by the period of rotation (3600 s), which equals 0.1047 rad/min. This indicates the degree of the minute hand's rotation per minute. The right-hand rule also designates the angular velocity's direction.

Explanation:

The angular speed of the minute hand of a watch refers to the degree of rotation of the minute hand per unit of time. In the particular case of a watch, the minute hand completes one full revolution (360° or 2π rad) in one hour (60 minutes or 3600 seconds). Therefore, the angular speed ω can be calculated as the total angle of rotation (2π rad) divided by the period of rotation, which is 3600 seconds.

Thus, the angular speed is calculated as ω = 2π rad/3600 s. By converting this to radian per minute, which is a more typical unit for a watch, we obtain that the angular speed of the minute hand of a watch is 0.1047 rad/min. This means that in each minute, the minute hand rotates 0.1047 radians.

This concept and calculation is part of what's studied in rotational motion in physics, where the right-hand rule can also be used to determine the direction of the angular velocity vector.

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the contribution of Tycho Brahe was primarily his
calculations
observation
inventions
theories

Answers

Tycho Brahe ( 1546 - 1601 ) was a Danish astronomer known for his accurate astronomical and planetary observations. Tycho tried to produce a model with the best of both Ptolemy ( earth-centered solar system ) and Copernicus ( sun-centered solar system ).
Answer: B ) observation.
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