A daredevil on a motorcyclo attempts to clear a 420-meter-wide river from a 210-meter-high cliff. What must his initial horizontal velocity
be?

Answers

Answer 1

Answer:

His initial velocity (speed) must be 64.16 m/s.

Explanation:

Horizontal Motion

When an object is horizontally launched at a speed v from a height h, the maximum horizontal distance (also called Range) traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

Our daredevil is attempting to clear a river d=420 m wide with his motorcycle from a cliff h=210 m high. We need to find the speed needed to safely reach the opposite edge of the river.

From the above equation, we solve for v:

Speed:

[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]

[tex]\displaystyle v=420\cdot\sqrt{\frac {9.8}{2\cdot 210}}[/tex]

[tex]\displaystyle v=420\cdot\sqrt{\frac {9.8}{420}}[/tex]

v = 64.16 m/s

His initial velocity (speed) must be 64.16 m/s.


Related Questions

A 62Kg rock climber is attached to a rope that is allowing him to hang horizontally with his feet against the wall. The tension of the rope is 7.1x10^2 N, and the rope makes an angle of 32 degrees with the horizontal. Determine the force exerted by the wall on the climber's feet? I need some help with understanding the problem through a FBD as well as how I will find the x and y components. Thank You !

Answers

Answer:

R= 602 .11 N

Explanation:

The horizontal component of tension T will give reaction of the wall and the vertical component of T will balance the weight of of the climber .

T cos32 = R

710 x .848 = R

R= 602 .11 N .

A wave passes into a different medium with an increase in speed. The ratio of the angle of incidence to the angle of refraction, defined arbitrarily here as R, is?
a) R=0
b) 1>R>0
c) R=1
d) R>1

Answers

Answer:

(d) R>1

Explanation:

Let the wave is passing from the medium [tex]M_1[/tex] to medium [tex]M_2[/tex] as shown in the figure.

Given that there is an increase in the speed in the medium [tex]M_2[/tex] , this is only due to the fact that medium

As when light passes from denser to rare medium, it moves away from the normal as shown in the figure.

So, the angle made by light rays with the normal in the rare medium, angle of refraction [tex]r[/tex], is more than the angle made by light rays with the normal in the denser medium, angle of incident [tex]i[/tex].

Hence, r>i

[tex]\Rightarrow \frac r i >1[/tex]

[tex]\Rightarrow R >1[/tex]  [as r/i = R]

Hence, option (d) is correct.

in which sample of water do the water particles have more energy: 5g of ice cubes at -10 OC, or 5 g of liquid water at 20 0C? Explain

Answers

since q=mct, and q is heat ENERGY, masses and specific heat are equal, Temperature is the determining factor here. So as the equation suggests, liquid water has more energy as it contains more heat energy.

Four forces are exerted on an object as shown below: A square is shown with an arrow pointing up labeled 3 N, an arrow pointing right labeled 2 N, an arrow pointing down labeled 4 N and an arrow pointing left labeled 2 N In which direction will the object move? Up Down Left Right

Answers

Answer:— A square labeled Object B is shown with an arrow pointing up labeled 3 N, an arrow pointing right labeled 2 N, an arrow pointing down labeled 3 N and an arrow pointing left labeled 1 N. In which direction will the objects move? Object A will move down and Object B will move up.

Explanation:

Answer:

The answer is down.

Explanation:

The forces on the left and right sides are balanced forces making the object not move in left or right directions. The force on the object is also shown to be 4N down and 3N up. The object will move toward the side with more force and that is down.

Draw a force diagram of a 23kg box of eel tails being pulled with a rope horizontally across the
bumpy floor

Answers

Answer:

Please find attached, the required force diagram of the 23 kg box of eel tails being pulled with a rope horizontally across the bumpy floor

Explanation:

The steps required to draw a force diagram includes

1) The object on which the applied forces act is identified

2) The forces acting on the object are identified by the condition or state of the object, which may be stationary or in motion

3) Specify the object on the diagram using a spot

4) Each of the forces acting on the object (the spot) are added, in vector format, showing both the magnitude and the direction of the forces

The forces acting on the box are;

a) The weight of the box, [tex]F_w[/tex], acting vertically downwards, with a magnitude given as follows;

[tex]F_w[/tex] = Mass of box × Acceleration due to gravity = 23 × 9.81 = 225.63 N

b) The force of friction, [tex]F_f[/tex], acting in the opposite direction of motion of the box, with a magnitude given as follows;

[tex]F_f[/tex] = Weight of the box × Coefficient of friction

[tex]F_f[/tex] = 225.63 N × [tex]\mu _x[/tex]

c) The force pulling the box, [tex]F_p[/tex], = The mass of the block × The acceleration of the block

The direction of the pulling force = The forward direction of motion of the box.

A bicycle gear wheel is a disc with 50 ‘teeth' equally spaced around its edge, as shown. The gear wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth'. The metal strip produces a sound of frequency that is equal to the frequency of vibration of the strip

Answers

Answer:

0.66m

Explanation:

The question is not complete, here is the complete question, also see attached the image.

"A bicycle gear wheel is a disc with 50 ‘teeth’ equally spaced around its edge, as shown. The gear  wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth’.  The metal strip produces a sound of frequency that is equal to the frequency of vibration of the  strip. The speed of sound in air is 330ms–1.  What is the wavelength of the emitted sound?"

given data

number of teeth= 50        

we are told that the gear is rotated 10 times in 1 sec,  

hence the frequency of the rotation past the strip is

=50*10  

=500Hz    

speed of sound= 330m/s

we know that

  [tex]v_w = f \Lambda[/tex]-----------1

where Vw is the speed of sound,

f is its frequency, and

λ is its wavelength.

λ=Vw/f

λ=330/500

λ=0.66m


If you stood on mars and lifted a 15kg pack, you would be pulling with a force greater than...?

Pls i need help and I will give brainliest to the best explained answer :)

Answers

Answer:

See the answers below

Explanation:

In this problem, we must be clear about the concept of weight. Weight is defined as the product of mass by gravitational acceleration.

We must be clear that the mass is always preserved, that is, the mass of 15 [kg] will always be the same regardless of the planet where they are.

[tex]W=m*g[/tex]

where:

W = weight [N] (units of Newtons)

m = mass = 15 [kg]

g = gravity acceleration [m/s²]

Since we have 9 places with different gravitational acceleration, then we calculate the weight in each of these nine places.

Mercury

[tex]w_{mercury} = 15*3.8\\w_{mercury}= 57 [N]\\[/tex]

Venus

[tex]w_{venus}=15*8.8\\w_{venus}= 132 [N][/tex]

Moon

[tex]w_{moon}=15*1.6\\w_{moon}=24[N][/tex]

Mars

[tex]w_{mars}=15*3.7\\w_{mars}=55.5 [N][/tex]

Jupiter

[tex]w_{jupiter}=15*23.1\\w_{jupiter}= 346.5[N][/tex]

Saturn

[tex]w_{saturn}=15*9\\w_{saturn}=135[N][/tex]

Uranus

[tex]w_{uranus}=15*8.7\\w_{uranus}=130.5[N][/tex]

Neptune

[tex]w_{neptune}=15*11\\w_{neptune}=165[N][/tex]

Pluto

[tex]w_{pluto}=15*0.6\\w_{pluto}=9[N][/tex]

Which of the following is the equation for calculating daily caloric needs? A. BMR calories + Digestion calories B. BMR calories + Activity Level calories + Digestion calories C. BMI + Activity Level calories D. Activity Level calories + Digestion Calories

Answers

Explanation:

To determine your total daily calorie needs, multiply your BMR by the appropriate activity factor, as follows: If you are sedentary (little or no exercise) : Calorie-Calculation = BMR x 1.2. If you are lightly active (light exercise/sports 1-3 days/week) : Calorie-Calculation = BMR x 1.375.

HAPPY TO HELP

Energy is measured in form of calories.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

To determine your total daily calorie needs, multiply your BMR by the appropriate activity factor, as follows:

If you are sedentary (little or no exercise) :

Calorie-Calculation = BMR x 1.2.

If you are lightly active (light exercise/sports 1-3 days/week) :

Calorie-Calculation = BMR x 1.375

Energy is measured in form of calories.

To learn more about energy refer to the link:

brainly.com/question/1932868

 #SPJ2

PLEASE HELP!! ILL MARK BRAINLYEST!!

New substances are produced in a chemical change.


True
False

Answers

The Answer is true hope this helps

Can somebody help me with this carbon nuclides question please?

Answers

Answer:

isotopes

Explanation:

because all of them have the same proton number which is the atom of the same element

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4m/s), (a) how far in advance of the recipients ( horizontal distance) must the goods be dropped. (b) Suppose, instead that the plane release the supplies a horizontal distance of 425m in advance of the mountain climbers. What vertical velocity (up or down) should the supplies be given so that they arrive precisely at the climber's position? (c) with what speed do the supplies land in the latter case

Answers

Answer:

Explanation:

For vertical displacement of food-supply

if time taken to reach the ground be t

235 = 1/2 g t²  , initial velocity downwards is zero.

t = 6.92 s

Horizontal displacement of food during this period

= 6.92 x 69.4 m

= 480.25 m .

b )

time required to cover horizontal distance of 425 m

= 425 / 69.4 = 6.124 s  

This time period will be the time of vertical fall of 235 m . Let initial vertical velocity required be u

h = ut + 1/2 gt²

235 = u x 6.124 + .5 x 9.8 x 6.124²

235 = u x 6.124 + 183.76

u = 8.36 m /s

c )

v = u + gt

= 8.36 + 9.8 x 6.124

= 68.37 m /s

This will be vertical component of velocity .

horizontal velocity = 69.4 m /s

resultant velocity = √ ( 68.37² + 69.4²)

= √(4674.45 +4816.36)

= 97.42 m /s

Which pair correctly identifies the strongest and weakest fundamental forces,
with the strongest force listed first?
O A. Strong nuclear force
Weak nuclear force
B. Strong nuclear force
Gravity
O C. Electromagnetic force
Strong nuclear force
D. Gravity
Strong nuclear force

Answers

Answer: Option B.

Strong nuclear force Gravity.

Explanation:

Nuclear force is the strongest force while Gravity is the weakest force. Strong nuclear force is the strongest force because it's act and hold atoms of matter together. It also binds neutrons and protons together to form atomic nuclei and it's has strength of 1.

Gravity is considered the weak force out of the four fundamental forces because it has a very small strength of 10^40 than electromagnetic force.

What variable/s can you manipulate in the simulation to make all the items get the same proximate values for their
acceleration? Explain how this idea will work.

Answers

Answer:

Please find the answer in the explanation.

Explanation:

The variable/s you can manipulate in the simulation to make all the items get the same proximate values for their acceleration will be the variable final velocity. Since all of them have zero initial velocity, the acceleration will tend to zero if they have a constant velocity.

If the final velocity is also zero or approximately equal to zero, that means the velocity is constant. And whenever there is constant velocity, the acceleration will be equal to zero.

Also, if the final velocity of all the parameters are very closed, they will surely have approximately same acceleration.

The variable which can be manipulated in the simulation will be the final

velocity.

The table shows all of them having the same initial velocity which is zero,

then the final velocity will have to be varied in order to get the same

proximate values for their acceleration.

Acceleration is the rate of change of velocity with time and when the velocity

is constant or equal to zero, the acceleration will be equal to zero.If the final

velocity of all the parameters are very close in value , then they will have

proximate values for acceleration.

Read more on https://brainly.com/question/18320098

A plane travels down a runway 2750 m before it lifts off at an angle of 37 degrees from the horizontal. The plane has traveled 1.8 km since its wheels left the ground. What is the displacement of the plane?

Answers

Answer: 4.236km

Explanation:

Let's define the point (x, y) as:

x = horizontal distance moved.

y = vertical distance moved.

If the plane starts in the point (0, 0) then:

"A plane travels down a runway 2750 m before it lifts off..."

At this time, the position will be:

P = (0 + 2750m, 0) = (2750m, 0).

"it lifts off at an angle of 37 degrees from the horizontal. The plane has traveled 1.8 km since its wheels left the ground."

In this case, as the angle is measured from the horizontal, the components will be:

x = 1.8km*cos(37°) = 1.438km

y = 1.8km*sin(37°) =  1.083 km

Then the new position is:

P = (2750m + 1.438 km, 0 + 1.083 km)

Let's write it using the same units for all the quantities:

we know that

1km = 1000m

Then:

2750m = (2750/1000) km = 2.750 km.

Then we can write the new position as:

P = (2.750 km + 1.438km, 1.083km) = (4.188km, 1.083km)

Now, we define the displacement as the distance between the final position and the initial position.

The distance between two points (a, b) and (c, d) is:

D = √( (a  c)^2 + (b - d)^2)

In this case the points are:

(0, 0) for the initial position

(4.188km, 1.083km) for the final position.

And the displacement will be:

D = √( (4.188km - 0)^2 + (1.083 - 0)^2) = 4.236km

How far(in meters) will you travel in 3 minutes running at a rate of 6 m/s

Answers

Answer:

1080 meters is the answer

Answer: 1800m or 1.08km

To get this answer you multiply your speed by time which will give you the distance.

6. What is fuel needed for in space?
7. Could a rocket traveling at a speed of
10,000 km/h get into space? Explain.
8. Why is thrust also known as the
reaction force?
9. Why does a rocket not need to burn
fuel to keep moving once it is in space?

Answers

6. fuel is needed in space to power certain things like engines.

7. It couldn't, as the lowest speed acceptable to get into space is 7.9 km per second (28,440 km per hour). This is because to break into the barrier that no longer contains oxygen, you would need to be going at an extremely fast rate.

8. It involves Newton's 3rd law. The movement requires that same thrust to be thrown back, also.

9. There is no gravity. So, basically, you just float.

NEED HELP ASAP, WILL GIVE BRAINLIEST

Which is an example of convection currents?

marshmallows toasting over a campfire
a pot being heated by an electric burner
feet getting hot when stepping across sand
a radiator emitting warm air and drawing in cool air

Answers

Answer:

D-A radiator emitting warm air and drawing in cool air

Explanation:

What is an example of Newton's First Law of Motion?

Answers

Place a ball in a box and slowly push the box. Abruptly stop the box. The ball will keep moving. According to Newton's first law, an object in motion tends to stay in motion unless acted upon by an unbalanced outside force, so the ball keeps rolling even though the box has stopped.

Hope this helps! (:

1. Which has more kinetic energy, a 40 kg cheetah running at 25 m/s or a 4,000 kg elephant moving at 2 m/s? How much more energy does it have?

2. At what speed would the animal with less KE have to travel to have the same kinetic energy as the animal with more KE?

3. Discuss the kinetic and potential energy of the ball on the end of a pendulum as it swings from point A to point B. Explain the kinetic energy and potential energy of the ball at each point and what happens to energy as the ball moves from point A to point B. In your discussion, answer the following questions: When is the kinetic energy of the ball zero and when is it at its highest? When is its potential energy at its lowest and at its highest? What happens to the kinetic energy and potential energy between point A and point B?

Answers

Answer:

1. The elephant has more kinetic energy at this speed and mass. It has 4,500 J more KE.

2. The elephant would have to go at a speed of 2.5 m/s to reach the same KE as the cheetah.

Explanation:

You would use the formula KE=1/2mv^2.

This formula would be filled in and completed twice, once for the elephant and once for the cheetah.

Cheetah:

KE = 1/2 (40) (25) ^2

KE = 12,500 J

Elephant:

KE = 1/2 (4,000) (2) ^2

KE = 8,000 J

This shows that the cheetah has more KE.

Then you would subtract the elephants amount of J from the cheetahs to find the difference.

Difference = 12,500 J - 8,000 J

Difference = 4,500 J

I hoped this helped with the first part :)

For the second part:

To find the speed the elephant would have to run you would fill in and complete the equation once more with different distance results.

KE = 1/2 (4,000) (2.5) ^2

KE= 12,500 J

(1) The kinetic energy of the cheetah is 12,500 J while kinetic energy of the elephant is 8,000 J

(2) The speed that the animal with lowest kinetic energy need to match up with the animal with highest kinetic energy is 2.5 m/s.

(3)    At the highest point, the kinetic energy of the ball is zero while the potential energy will be maximum.

       At the lowest point, the kinetic energy of the ball will be maximum while potential energy will be zero.

The kinetic of object, is the energy possessed by the object due to its motion.

The kinetic energy of the cheetah is calculated as;

K.E = ¹/₂mv²

K.E = ¹/₂  x 40 x 25²

K.E = 12,500 J

The  kinetic energy of the elephant is calculated as;

K.E = ¹/₂  x 4000 x 2²

K.E = 8,000 J

(2) The speed of the animal with less kinetic energy to match up with the animal with higher kinetic energy;

12,500 = ¹/₂  x 4000 x v²

25,000 = 4000v²

[tex]v^2 = \frac{25,000}{4000} \\\\v^2 = 6.25\\\\v= \sqrt{6.25} \\\\v = 2.5 \ m/s[/tex]

(3) In a simple pendulum motion, point A (initial position) is the lowest point while point B (final position) is the highest point in the motion path.

At the highest point, the velocity of the ball is zero and the ball will have zero kinetic energy while the potential energy which increases with height will be maximum.

At the lowest point, the velocity of the ball will be maximum and the ball will have maximum kinetic energy while potential energy will be zero since the height is zero.

Learn more here:https://brainly.com/question/14524574

A 20 kg fish swimming at 2 m/s swallows a 5 kg fish at rest. What is the speed of the large fish after lunch

Answers

Answer:

1.6m/s

Explanation:

Given parameters:

Mass of the big fish  = 20kg

Mass of small fish = 5kg

Speed of big fish  = 2m/s

Speed of small fish = 0m/s

Unknown:

Speed of the large fish after lunch  = ?

Solution:

The momentum of the big fish before and after feeding is conserved.

    Initial momentum  = Final momentum

    m₁v₁ + m₂v₂  = v (m₁ + m₂)

m₁ is mass of the big fish

v₁ is the speed of the big fish

m₂ is mass of the small fish

v₂ is the speed of the big fish

v is the final speed

 Now insert the parameters and solve;

       20 x 2 + 5(0) = v(20 + 5)

              40 = 25v

                v  = [tex]\frac{40}{25}[/tex]   = 1.6m/s

A 45,000-kg airplane experiences a force from its engines of 110,000 N. What is the acceleration of the airplane?
A.0.41 m/s^2
B.0.82 m/s^2
C.2.4 m/s^2
D.9.8 m/s^2

Answers

Answer:

The answer is option C

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{110000}{45000} = \frac{110}{45} = \frac{22}{9} \\ = 2.4444444...[/tex]

We have the final answer as

2.4 m/s²

Hope this helps you

five difference between elastic collision and inelastic collision?​

Answers

Answer:

Elastic Collision

Inelastic Collision

The total kinetic energy is conserved. The total kinetic energy of the bodies at the beginning and the end of the collision is different.

Momentum does not change. Momentum changes.

No conversion of energy takes place. Kinetic energy is changed into other energy such as sound or heat energy.

Highly unlikely in the real world as there is almost always a change in energy. This is the normal form of collision in the real world.

An example of this can be swinging balls or a spacecraft flying near a planet but not getting affected by its gravity in the end.

While traveling along a highway a driver slows from 34 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Remember that a negative value indicates a slowing down or deceleration.

Answers

Answer:

a=-1.58 m/s^2

Explanation:

Vo=34m/s

Vf=15m/s

t=12s

a= dV/dt = (Vf-Vo) /t = (15-34)/12

= - 19/12 = - 1.58m/s2

In one half hour, a car traveled 35km. What was the speed of the car?

Answers

Answer:

70km/h

Explanation:

speed  = distance /time

            = 35/0.5

           =70km/h

THE ONE WHO WILL ANSWER IT CORRECT WILL BE MARKED AS "BRAINLIST"....... If the radius of the orbit of a spaceship from the centre of the earth is twice the radius of the earth . then calculate the acceleration due to the gravity on space ship.​

Answers

Answer:

Explanation:

19116 being the distance from the centre of the earth to the point you want to check in metres. So after all that you get G = 1.0888m/second squared. Hope that helps you/ you should be able to pop in any height you want.

plz mark as brainliest

How do mechanical waves travel through a medium?

Answers

particles of the medium move perpendicular to the direction of energy transport. ... Mechanical waves require a medium in order to transport energy. Sound, like any mechanical wave, cannot travel through a vacuum. the particles






EXPLANATION:



uo


Answer:

sound waves need to travel through a medium such as solids,liquids and gases. hoped this helped  

Explanation:

sound waves

When a car turns sharply to the right, objects in the back seat move to the left. Why?

Answers

Answer:

Newtons third law of motion

Explanation:

For each action, there is an equal and opposite reaction.

Because gravity

I am just guessing because there are no answer choices

Coincidence?
stu(died)
stu(dying)
stu(dies)

Answers

Huh that’s cool! Cuz studying sucks.
I was confused for a second and i get it now

used for measurement of physical quantity is called the unit of that
quantity

Answers

Answer:

Unit

Explanation:

The reference standard used for the measurement of physical quantity is called the unit of that quantity.

Most units follow an agreed system of expressing quantities across all instances of such quantity.

It is necessary to standardized units because it makes comparison easier. It also makes scientific communication easily discernible.

The second is a flexible _________.

Answers

Answer:

static stretching

Explanation:

hope this helped ^^

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