A canoe is designed to have very little drag when it moves along its length. Riley, mass 62 kg, sits in a 21 kg canoe in the middle of a lake. She dives into the water off the front of the canoe, along the axis of the canoe. She dives forward at 1.7 m/s relative to the boat.
1) Just after her leap, how fast is she moving relative to the water?
2) Just after her leap, how fast is the canoe moving relative to the water?

Answers

Answer 1

(1) Riley velocity relative to the water after she jumps is 1.7 m/s.

(2) The velocity of the canoe relative to the water is 5.02 m/s.

The given parameters;

mass of Riley, m₁ = 62 kgmass of canoe, m₂ = 21 kg velocity of the Riley after jumping, v₁ = 1.7 m/s

(1) Since the lake is still, her velocity relative to the water after she jumps is 1.7 m/s.

(2) Apply the principle of conservation of linear momentum;

m₁v₁  =  m₂v₂

62 x 1.7 = 21v₂

105.4 = 21v₂

[tex]v_2 = \frac{105.4}{21} \\\\v_2 = 5.02 \ m/s[/tex]

Thus, after her leap, the velocity of the canoe relative to the water is 5.02 m/s.

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Related Questions

What is it called when a Rock forms due to heat and pressure in the earth?

Answers

It is called Metamorphic rocks!!

You need to design a spring that will launch a 1060 kg satellite with a speed of 3.35 m/s relative to an orbiting space station. The maximum safe acceleration of the satellite is 5.00g, (g being the usual gravitational field constant on the surface of the Earth). The spring's mass, the recoil kinetic energy of the space station, and changes in gravitational potential energy will all be negligible.What must the force constant of the spring be

Answers

Answer:

226.8 kN/m

Explanation:

The work done by the spring, W equals the kinetic energy of the satellite, K

W = K

work done by the spring, W = 1/2kx² where k = force constant and x = extension of spring

kinetic energy of the satellite, K = 1/2mv² where m = mass of satellite = 1060 kg and v = speed of satellite = 3.35 m/s

1/2kx² = 1/2mv²

k = mv²/x²

Also, the spring force F = kx where k = force constant and x = extension of spring.

k = F/x

equation both expressions for k, we have

mv²/x² = F/x

x = mv²/F since F = ma where m = mass of satellite and a = maximum acceleration of satellite = 5.00g and g = 9.8 m/s²

x = mv²/ma = mv²/5.00mg = v²/5.00g

Substituting the values of the variables into the equation, we have

x = v²/5.00g

= (3.35 m/s)²/(5.00 × 9.8 m/s²)

= 11.2225 m²/s²/49 m/s²

=0.229 m

Now k = F/x = 5.00mg/x

Substituting the values of the variables into the equation, we have

k = 5.00mg/x

k = 5.00 × 1060 kg × 9.8 m/s²/0.229 m

k = 51940 kgm/s²/0.229 m

k = 51940 N/0.229 m

k = 226812.23 N/m

k = 226.81223 kN/m

k ≅ 226.8 kN/m

The image below represents water's... *

Answers

Answer:

it represents the physical changes.

Explanation:

I


Give the relationship between the number of valence electrons in an atom's
valence electron shell and the position of the element on the Periodic Table​

Answers

Answer:

they're reactions

Explanation:

The relationship between the valence electrons and position is: the number of valence electrons determines the position

What is valence electron?

This is the number of electrons in the outermost shell of an atom.

NOTE: The outermost shell is called valence shell

Position in Periodic table

This is where an element is located in the periodic table

Relationship between valence electrons and position

The position of an element in the periodic table is determined by the number of valence electrons.

For example

Sodium, Na (atomic number of 11) has the following electronic configuration

1st shell = 2 electrons2nd shell = 8 electrons 3rd (valence) shell = 1 electron

Since the valence electron is 1, thus, sodium is located in group 1 of the periodic table.

Thus, we can see that the position of an element in the periodic table is related to the valence electron(s) in the atomic shell of the element.

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A 0.40 kg block can slide up and down a rough a 10-m-high, 30-m-long slope. At the bottom, a stiff spring with spring constant 800 N/m is compressed 0.50 m and used to launch the block up the slope. The friction force on the block from the slope is 1.2 N. What is the speed of the block when it reaches the top of the slope, in m/s

Answers

Answer:

[tex]v=11.135m/s[/tex]

Explanation:

From the question we are told that

Mass [tex]m=0.40kg[/tex]

Frictional friction [tex]f=1.2[/tex]

Spring constant [tex]k=800N/m[/tex]

Compressed [tex]x=0.50[/tex]

Generally the energy balance equation is mathematically given as

[tex]1/2kx^2=f*30+m*g*sin \theta*30+1/2m*v^2[/tex]

if [tex](sin=10/30-1/3)[/tex]

[tex]1/2(800)(0.5)^2=(1.2)*30+(0.4)*9.8*1/3*30+1/2(0.4)*v^2[/tex]

[tex]100=36+39.2+0.20v^2[/tex]

[tex]v^2=\frac{24.8}{0.20}[/tex]

[tex]v=\sqrt{124}[/tex]

[tex]v=11.135m/s[/tex]

The results in a science text

describe details involved in completing the experiment.

share the data found after an experiment is concluded.

give the background and purpose of an experiment.

interpret the results of a completed experiment.

Answers

Answer:

The answer is B since no one answered it :)

Explanation:

Answer:

b

Explanation:

i took the test

A wave has a frequency of 30Hz and wave length of 40cm. What is the velocity of the wave?

Answers

Answer:

12m/s

Explanation:

v=fλ

30×(40÷100)=

12m/s

What could we call the
grocery store?
A. Linear motion
B. Reference point
C. Rotary

Answers

Reference point

Explanation:

I am not sure

What keeps the Earth's atmosphere from floating away? Earth's gravity keeps the air molecules of the atmosphere from escaping the area surround Earth The attraction between the different molecules of atmospheric gases The temperature of the gas is not high enough to allow it to spread out and escape the area surrounding Earth The differentiation between temperatures of the Earth and outer space traps the gases in the atmosphere

Answers

Answer: it is the earth gravity :’)

Explanation:

Earth's gravity keeps the air molecules of the atmosphere from escaping the area surround Earth

12. Which of these devices uses an electromagnet? O a light bulb O an electric motor O a refrigerator magnet a compass​

Answers

Answer:

the third one with the refrigerator

Ton is used for measure very big masses.
right or wrong

science ​

Answers

Answer:

Explanation:

The correct answer is right

Answer:

True

Explanation:

Ton is a unit that is used to measure huge masses like cars, trucks and huge boxes

Which of the following statements is true about the speed at which sound waves travel?


A:Sound travels faster through air

B:Sound travels faster in a vacuum

C:Sound travels faster through water

D:Sound travels faster through a solid

Answers

Answer: sound waves travel faster in solid than water or air.

In vacuum sound waves don't travel at all

Answer:

A: Sound travels faster through air

Explanation:

The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. At 20 °C, the speed of sound in air is about 343 metres per second, or a kilometre in 2.9 s or a mile in 4.7 s.

Which is not a component of an electromagnet?
A. solenoid
B. power source
C. ferromagnetic core
D. permanent magnet

Answers

It would probably be B

Which list of elements is placed in order from most reactive to least reactive?
A. K, Ca, Kr, Ge
B. K, Ca, Ge, Kr
C. Ca, K, Kr, Ge
D. Ge, Kr, Ca, K

Answers

All four elements given in the answer choices are on the same period. The least reactive element should be Kr, since it is a noble gas. By that fact alone, B would be the correct answer.

B is also correct as non-d-block metals increase in reactivity from left to right on along a period. The order of the metals (Ge is often considered a metalloid) conforms with that trend.

An explosive eruption by a single volcano can affect
OA. only the lifeforms living on the volcano.
OB. only the lifeforms living on the same continetu
OC. lifeforms throughout the world.
OD. Earth's climate but not its lifeforms.

Answers

I think the answer is C but it also could be D

Does gravity increase or decrease with greater distance?

Answers

Gravitational force decreases with increasing distance. So it decreases!

Particle track detectors are used to measure the speed of particles if the lifetime of the particle is known. Particle-X has a lifetime of 256.2 ps. These particles are created in an experiment inside the detector by a given reaction. The particles leave 10.7 cm long tracks on average before they decay into other particles not observable by the detector. What is the average speed of the particles in terms of the speed of light

Answers

Answer:

the average speed of the particles in terms of the speed of light is 0.81c

Explanation:

Given the data in the question;

[tex]t_p[/tex] = 256.2 ps = 256.2 × 10⁻¹² s

speed of light c = 2.99 × 10⁸ m/s

d = 10.7 cm = 0.107 m

we know that; Average speed v = d/t ------- let this be equation 1

Also, given that 256.2 ps is the lifetime of particle X frame, proper time will be;

t = Y[tex]t_p[/tex] = [tex]t_p[/tex] / √( 1 - [tex]\frac{v^2}{c^2}[/tex] ) --------- let this be equation 2

Next, we input equation 2 into equation 1'

v = d / [ [tex]t_p[/tex] / √( 1 - [tex]\frac{v^2}{c^2}[/tex] )  ]

v = d/[tex]t_p[/tex][ √( 1 - [tex]\frac{v^2}{c^2}[/tex] ) ]

v[tex]t_p[/tex]/d = √( 1 - [tex]\frac{v^2}{c^2}[/tex] )

we square both sides

( v[tex]t_p[/tex]/d )² = (√( 1 - [tex]\frac{v^2}{c^2}[/tex] ) )²

v²[tex]t_p[/tex]²/d² = 1 - [tex]\frac{v^2}{c^2}[/tex]

v²[tex]t_p[/tex]²/d² +  [tex]\frac{v^2}{c^2}[/tex] = 1

v²( [tex]t_p[/tex]²/d² +  [tex]\frac{1}{c^2}[/tex] ) = 1

v²( ([tex]t_p[/tex]²c² + d²)/d²c² ) = 1

v² = (d²c²) / ([tex]t_p[/tex]²c² + d²)

v = √[ (d²c²) / ([tex]t_p[/tex]²c² + d²) ]

v = (dc) / √([tex]t_p[/tex]²c² + d²)

so we substitute

v = (0.107 m × c) / √( (256.2 × 10⁻¹² s)²(2.99 × 10⁸ m/s)² + (0.107 m )²)

v = 0.107c / √( 0.00586814 + 0.011449 )

v = 0.107c / √( 0.01731714 )

v = 0.107c / 0.1315946

v = 0.81c

Therefore, the average speed of the particles in terms of the speed of light is 0.81c

What is the equivalent resistance of the circuit?

Answers

Answer:

(B) 80 ohms

Explanation:

Since the circuit is a series connection, simply add the two resistances together to get 80 ohms.

How are the particles in matter organized

Answers

Answer:

Particles in agas are well separated with no regular arrangement. liquid are close together with no regular arrangement. solid are tightly packed, usually in a regular pattern.

Explanation:

hope this helps

What is the mass of an object if a force of 17 N causes it to accelerate at 1.5 m/s/s?

Answers

Answer:

11.34 i think

Explanation:

1 kg block slides down a frictionless inclined plane that makes an angle of 300 with respect to the ground. The total length of the plane is 2 m, but midway down it collides with a second block, weighing 0.5 kg. The two blocks stick together and travel as one unit the rest of the way down the ramp. What is the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane

Answers

Answer:

the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane is 10.62 J

Explanation:

Given that the data in the question;

angle of inclination with respect to the ground [tex]\theta[/tex] = 30°

length of plane d = 2m

m₁ = 1 kg

m₂ = 0.5 kg

now, velocity of the first block at midpoint;

[tex]\frac{1}{2}[/tex]mv² = mgsin[tex]\theta[/tex][tex]\frac{d}{2}[/tex]

[tex]\frac{1}{2}[/tex]v² = gsin[tex]\theta[/tex][tex]\frac{d}{2}[/tex]

v² = gsin[tex]\theta[/tex]d

v = √( gsin[tex]\theta[/tex]d)

g is 9.8 m/s

so we substitute

v = √( 9.8 × sin30° × 2)

v = √( 19.6 )

v =  3.13 m/s

Now, velocity just after collision of the blocks will be;

(m₁ + m₂)v₂ = m₁v

v₂ = m₁v / (m₁ + m₂)

we substitute

v₂ = (1 × 3.13) / (1 + 0.5)

v₂ = 3.13 / 1.5

v₂ = 2.0866 m/s

now, final kinetic energy will be;

[tex]KE_f[/tex] = (m₁ + m₂)gsin[tex]\theta[/tex][tex]\frac{d}{2}[/tex] + Initial Kinetic energy

[tex]KE_f[/tex] = (m₁ + m₂)gsin[tex]\theta[/tex][tex]\frac{d}{2}[/tex] + [tex]\frac{1}{2}[/tex]mv₂²

we substitute

[tex]KE_f[/tex] = [(1 + 0.5)9.8 × sin30 × [tex]\frac{2}{2}[/tex]] + [[tex]\frac{1}{2}[/tex] × 1.5 × 2.0866 ]

[tex]KE_f[/tex] = 7.35 + 3.2654

[tex]KE_f[/tex] = 10.62 J

Therefore, the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane is 10.62 J

what is the relationship between the perimeter and the side length of anequilateral triangle ?

Answers

Answer:

The length of the equilateral triangle's side is the length of the hypotenuse of the 30-60-90. Using this ratio, we find that the length of this triangle's hypotenuse is 4. Thus the perimeter of the equilateral triangle will be 4 multiplied by 3, which is 12.

Chemotherapy is used to treat
cervical cancer.
endometriosis.
undescended testicles.
benign prostatic hypertrophy.

Answers

Answer:

cervical cancer

Explanation:

EDGE 2020

Kieran is graduating from high school. He wants to be a urologist. What career path would be best for Kieran to follow?
four-year degree Right arrow. graduate school Right arrow. residency
four-year degree Right arrow. graduate school Right arrow. license from the NCLEX
two-year degree Right arrow. license from the NCLEX Right arrow. certification in a specialty
two-year degree Right arrow. vocational school Right arrow. further certification

Answers

Answer:

four-year degree Right arrow. graduate school Right arrow. residency

Explanation:

edge

Four-year degree Right arrow. graduate school Right arrow. residency. This career path would be best for Kieran to follow.

What is career ?

According to the Oxford English Dictionary, a person's "career" is their "course or progress through life." According to this definition, a person's "career" includes a variety of facets of their life, education, and employment. The term "career" is also widely used to refer to the professional parts of a person's life, as in "career woman," for instance. A profession or occupation that often requires specific training or formal education is referred to as a person's lifework in the third manner that the word "career" is employed.When used in this context, "a career" refers to a set of linked occupations that are often followed within a single industry or sector. For instance, one may speak of "a career in education," "a career in criminal justice," or "a career in the building trade."

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If you were to find 2 fossils, give the reasons for the way you might be able to tell which fossil is older?

Answers

Answer:

Relative Dating

Explanation:

Relative dating is used to determine a fossils approximate age by comparing it to similar rocks and fossils of known ages. Absolute dating is used to determine a precise age of a fossil by using radiometric dating to measure the decay of isotopes, either within the fossil or more often the rocks associated with it.

Two ice skaters, with masses of 40.0 kg and 65.0 kg , are at the center of a 50.0 m -diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. Part A If the heavier skater reaches the edge in 10.0 s , how long does the lighter skater take to reach the edge

Answers

Answer:

6.15 s

Explanation:

From the question,

Applying the law of conservation of momentum

Momentum of the Heavier skater = Momentum of the lighter skater.

Mv = mV................. Equation 1

Where M = mass of the heavier skater, m = mass of the lighter skater, v = Velocity of heavier skater, V = velocity of the lighter skater.

But,

v = r/t........................ Equation 2

V = r/t'................ Equation 3

Where r = radius of the circular rink, t = time taken for the heavier skater to reach the edge, t' = time taken for the lighter skater to reach the edge.

Substitute equation 2 and equation 3 into equation 1

M(r/t) = m(r/t')............. Equation 4

Given: M = 65 kg, m = 40 kg, r = 50/2 = 25 m, t = 10 s.

Substitute into equation 4 and solve for t'

65(25/10) = 40(25/t')

162.5 = 1000/t'

t' = 1000/162.5

t' = 6.15 seconds

A car on a roller coaster loaded with passengers has a mass of 2.0 x 10^3 kg. At the lowest point of the the track, the radius of curvature is 24 m and the roller coaster car has a tangential speed of 17 m/s

Answers

We have that the  is mathematically given as

Fn=36000N

Force

Question Parameters:

mass of 2.0 x 10^3 kg

the radius of curvature is 24 m and

the roller coaster car has a tangential speed of 17 m/s

Generally the equation for the Force   is mathematically given as

F=ma

Fn-fg=mv^2/r

Fn=m(v^2/r+g)

Therefore

Fn=2000(12^2/18+9.8)

Fn=36000N

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Philosophy: The Big Picture Unit 8

Would an existentialist argue that the study of philosophy was a good use of a life?

A. Yes, if society valued the results of the study.
B. Yes, but only if the individual found it meaningful.
C. No, a life should be spent minimizing the role of anxiety.
D. No, there is no way that philosophy could create a meaningful life.

Answers

the answer to this would be C




Sal is experimenting with materials that dissolve in water. He finds a material that dissolves well in water. Which of these could it
be?

Answers

any pics? so i can see the question ⁉️

The density of 2 kilograms of iron on Earth's surface is
A. Zero.
B. The same on the moon.
C. Less on the moon.
D. Greater on the moon.
E. None of them

Answers

Answer:

B. The same on the moon.

Explanation:

The density of an object is the ratio of the mass contained by the object to the volume occupied by that mass.

[tex]Density = \frac{Mass}{Volume}[/tex]

When the object is taken from the earth to anywhere in the universe, its mass remains constant. The dimensions of the object and hence its volume also remains constant anywhere in the universe.

Therefore, the density of the object will also remain the same as it depends upon the mass and the volume of the object.

So, the correct option is:

B. The same on the moon.

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