A stunt-rider on a motorcycle rides down a ramp and into a vertical loop-the-loop. If the diameter of the loop is 7.50 m, then the slowest speed the motorcycle can have at the top of the loop if it is to remain in contact with the loop is _________ km/h.

Answers

Answer 1

Answer:

v = 6.06 m/s

Explanation:

In order for the rider to pass the top of the loop without falling, his weight must be equal to the centripetal force:

[tex]Centripetal Force = Weight \\\frac{mv^2}{r} = mg\\\\\frac{v^2}{r} = g\\\\v = \sqrt{gr}[/tex]

where,

v = minimum speed of motorcycle at top of the loop = ?

g = acceleration due to gravity = 9.8 m/s²

r = radius of the loop = diameter/2 = 7.5 m/2 = 3.75 m

Therefore, using these values in equation, we get:

[tex]v = \sqrt{(9.8\ m/s^2)(3.75\ m)}[/tex]

v = 6.06 m/s


Related Questions

A driver brings a car to a full stop in 2.0 s. If the car was
initially travelingat 22 m/s, what is the acceleration?

Answers

Working displayed in the picture below, the answer is -11 m s^-2

Explain how itis possible for electron-group geometry to difer trom molecular geometry. Use the Lewis dot diagram below to help in your explanation

Answers

Answer:

If lone pairs of electrons, electrons not bonded to other atoms, are located in the molecule, this will change the molecular geometry, not the electron geometry. If all the electron groups are bonded, with no lone pairs, then the electron geometry and molecular geometry are the same.

(1) A block of wood weighs 980N on earth where acceleration due to gravity is 9.8N/Kg. The
moon has acceleration times that on earth. Determine the weight of the block of wood
on the moon.
(3 marks)​

Answers

Given,

Weight of a block on the Earth = 980 N

Acceleration due to gravity on Earth = 9.8 N/kg

To find,

Weight of the block on the moon.

Solution,

The  moon has acceleration (1/6) times that on earth. Let m be the mass of the block on the moon.

We know that,

W = mg

[tex]m=\dfrac{W}{g}\\\\m=\dfrac{980}{9.8}\\\\=100\ kg[/tex]

As mass of an object remains the same everywhere. Weight of the block on Moon is :

W' = mg'

As g'=(g/6)

So,

[tex]W=100\times \dfrac{g}{6}\\\\=100\times \dfrac{9.8}{6}\\\\=163.33\ N[/tex]

So, the weight of the block on the moon is 163.33 N.

Which has greater kinetic energy: a bowling ball that has a mass of 5 kg travelling at 6 m/s, or a ship that has a mass of 120000 kg and is moving at 0.02 m/s?

Answers

Answer:

The bowling ball has greater kinetic energy.

Explanation:

Kinetic energy is given by:

[tex] K = \frac{1}{2}mv^{2} [/tex]

Where:

m: is the mass

v: is the speed

For the bowling ball we have:

[tex]K = \frac{1}{2}mv^{2} = \frac{1}{2}5 kg*(6 m/s)^{2} = 90 J[/tex]

And for the ship:

[tex]K = \frac{1}{2}mv^{2} = \frac{1}{2}120000 kg*(0.02 m/s)^{2} = 24 J[/tex]

Therefore, the bowling ball has greater kinetic energy.

I hope it helps you!

If the scale model works as predicted, the final product is guaranteed to be flawless.
•True
•False

Answers

Answer: true

Explanation:

If the scale model was working as it was predicted to work, then the final product is expected to be flawless. It should be a reasonable product if the scale model is working. Our answer is the option True.

The dead sea has a very high salt content. Explain why it is easier for a swimmer to float in the dead sea than in a swimming pool containing fresh water

Answers

Answer:

Dead sea is full of salt.

Explanation:

The water of the Dead Sea is full of salt, which makes it much denser and heavier than freshwater. If you swim in it, you float very easily.

When salt is dissolved in water, for example sea water, dissolved salt adds to the mass of the water and makes the water denser than it would be without salt. Because objects float better on a dense surface, they float better on salt water than fresh water.

Suppose that with a pulley system you need to exert a force of 1,400N to lift a heavy object. But without the pulley system, you need to exert 4,200N to lift the object. What is the MA of the pulley system?

Answers

Answer:

Mechanical Advantage is 0.3

Explanation:

Step one:

given data

Load L= 1400N

Effort E= 4200N

Required

The mechanical advantage of the pulley system

Step two:

We know that the expression for the mechanical advantage is

MA= Load/Effort

MA= 1400/4200

MA=0.3

Which one produces the brightest light out put on a miniature bulb,the solar panels connected in series or parallel???​

Answers

In series, both bulbs have the same current flowing through them. The bulb with the higher resistance will have a greater voltage drop across it and therefore have a higher power dissipation and brightness. In parallel, both bulbs have the same voltage across them.

can someone send me some tenodu photos, please

Answers

Artist credit : BRTRmilk_ on Twitter :)

A3.0 105 kg freight car moving at 2.5 m/s east, strikes a
stationary 1.5 x 105 kg car. If the two cars end up connected
to each other, what is their resulting velocity?

Answers

Answer:3.4 miles west

Explanation:

Potassium chloride forms a solid made up of a highly organized set of
positive and negative particles. Which term describes this solid?
A. An ion
B. A crystal
C. An atom
D. A molecule

Answers

Answer: It is b. a crystal

Explanation:

 

Answer:

B. A crystal

Explanation:

A constant horizontal F force began to act on the initially immovable body placed on a horizontal surface. After t time the force ceased to act, and after time 3t from the start of the movement the body stopped. Find the coefficient of friction between the body and the surface if the body mass is m.​

Answers

Answer:

The coefficient of friction is (F/(19.6·m)

Explanation:

The given parameters are;

The force applied to the immovable body = F

The time duration the force acts = t

The time the body spends in motion = 3·t

The acceleration due to gravity, g = 9.8 m/s²

From Newton's second law of motion, we have;

The impulse of the force = F × t = m × Δv₁

Where;

Δv₁ = v₁ - 0 = v₁

The impulse applied by the force of friction, [tex]F_f[/tex] is [tex]F_f[/tex] × (3·t - t) =  [tex]F_f[/tex] × (2·t)

Given that the motion of the object is stopped by the frictional force, we have;

The impulse due to the frictional force = Momentum change = m × Δv₂ = [tex]F_f[/tex] × (2·t)

Where;

Δv₂ = v₂ - 0 = v₂

Given that the velocity, v₂, at the start of the deceleration = The velocity at the point the force ceased to  act, v₁, we have;

m × Δv₂ = [tex]F_f[/tex] × (2·t) = m × Δv₁ = F × t

∴ [tex]F_f[/tex] × (2·t) = F × t

[tex]F_f[/tex] = F × t/(2·t) = F/2

The coefficient of dynamic friction, [tex]\mu _k[/tex] = Frictional force/(The weight of the body) = (F/2)/(9.8 × m)

[tex]\mu _k[/tex] = (F/(19.6·m)

The coefficient of friction, [tex]\mu _k[/tex] = (F/(19.6·m)

Will mark the brainliest
When a car of mass 1000kg is travelling along a level road at a steady speed of 20ms −1
its engine is working at 18kW.
Resultant force = 900N Braking Force = 3100N Gravity = 9.81
By how much does this change if the car is travelling down the same hill at 20ms −1 ?

Answers

Answer:

OK draw a diagram - you have the force from (b) acting sown the slope and a component of the weight. Use F=ma to get the deceleration and then use SUVAT. Post your working if this doesn't work.

friction = 900N

braking = 3100N

total = 4000N

w= mxg = 1000*9.81= 9810N

total = 9810 + 4000 = 13810N

force/mass = 13810/1000 = 13.81ms^-2

then using v^2 = u^2 + 2as, i get s as 14 but it is incorrect

Explanation:

A driver in a car traveling at a speed of 78 kilometers/h sees a cat 101 m away on the road . How long will it take for the car to accelerate uniformly to a stop in exactly 99 m?

Answers

Answer:

0.353 secs

Explanation:

Using the formula;

ΔS = ut + 1/2at²

ΔS is the change in distance = 101 - 99 = 2m

u is the speed = 78km/hr = 7800/3600 m/s

Speed = 2.17m/s

a is the acceleration = 9.8m/s262

t is the time

Substitute into the equation and get t

2 = 2.17t + 1/2(9.8)t²

2 = 2.17t + 4.9t²

2.17t + 4.9t²- 2 = 0

Factorize

t = -4.9±√4.9²-4(2.17)(-2)/2(2.17)

t = -4.9±√24.01+17.36/4.34

t = -4.9±6.43/4.34

t = -4.9+6.43/4.34

t =1.53/4.34

t = 0.353secs

Hence it will take the car 0.353 secs

A cruise started its trip 8:00. its average speed was 100 km/h. when it traveled 2/5 of its journey by 12:00, the boat changed its speed. if the boat was required to arrive at the destination at 17:00 what average speed must the boat travel at for the remaining journey?

Answers

Answer:

Explanation:idk

what is happening to energy as a substance goes from a gas state to a liquid state

Answers

Answer:

If we give it enough energy, the atom will eventually gain enough energy to vibrate out of the body. This is the next change of state. The molecules of water gain enough energy to escape from the surface of the water. This change of state from liquid to gas is called vaporization.

Explanation:

Answer:

B

Explanation:

It is decrasing

HELP ASAP!! WILL TRY TO GIVE BRAINLIEST

How do endocytosis and exocytosis differ?

Answers

Answer:

Endocytosis and exocytosis are both forms of active transport. Endocytosis is where materials enter the cell and exocytosis is where materials exit the cell.

A pendulum on earth oscillates with a period of 3.45 seconds. What is the length of the pendulum?

Answers

Answer:

The length of the pendulum is 2.954 m.

Explanation:

Given;

period of the pendulum, T = 3.45 s

The period of the pendulum oscillation is given as;

[tex]T = 2\pi \sqrt{\frac{l}{g} } \\\\\frac{T}{2\pi} = \sqrt{\frac{l}{g} }\\\\\frac{T^2}{4\pi ^2} = \frac{l}{g} \\\\l = \frac{gT^2}{4\pi ^2} \\\\[/tex]

where;

L is length of the pendulum

g is acceleration due to gravity on Earth = 9.8 m/s²

[tex]l = \frac{gT^2}{4\pi ^2}\\\\l = \frac{(9.8)(3.45)^2}{4\pi ^2}\\\\l = 2.954 \ m[/tex]

Therefore, the length of the pendulum is 2.954 m.

1. The lamp in your room is marked (100
W, 220 V). What do these readings mean?
Calculate, in J and in kWh, the electric ener-
gy consumed for 5 hours of lighting. Deduce
the monthly cost if the price of one kWh is
55 L.L.

Answers

Answer:

See the answers below

Explanation:

The data of 100W means power, and the other data of 220V means voltage, that is to say that bulb serves to work at a voltage of 220V100W datum means power.

J means work that is given in Joules [J], we must remember that power is defined as the relationship between work at a certain time, therefore we can determine work by means of the following expression.

[tex]P=W/t\\[/tex]

where:

P = power [Watt]

W = work [J]

t = time [s]

[tex]W=P*t\\W=100*5[hr]*[\frac{3600s}{1hr} ]\\W=1800000[J] = 1.8[MJ][/tex]

Now the electric cost.

[tex]0.1[kW]*5[hr]*55\frac{LL}{1kwhr} =27.5[LL][/tex]

Le manque de sommeil peut réduire la production d'insuline par le pancréas. L'insuline est responsable de métaboliser le sucre dans le sang. De quel ordre peut être la réduction d'insuline?Lecteur immersif

Answers

Answer:

Very big.

Explanation:

Very big reduction occurs in insulin production when a person did not sleep in 24 hours. Due to lack of sleep, reduction occurs in the production of insulin by the pancreas. Insulin is a hormone that is responsible for metabolizing sugar in the blood and if insulin is not secreted by the pancreas in normal concentration so the person get diabetes disease due to increasing amount of glucose in the blood.

A sled is pushed to right with a force of 200 N. The force of friction opposing that motion is 50 N. a) What is the Net Force on the sled? b) assuming the mass of the sled is 30 kg, use Newton's 2nd Law equation to determine the acceleration. Include units in BOTH of your answers! *

Answers

Answer:

Fr = 150 [N]

a = 5 [m/s²]

Explanation:

In order to find the resulting force, we must assume that the thrust force is positive to the right, while the friction force is negative to the left.

[tex]F_{r}=200-50\\F_{r}=150[N][/tex]

Now Newton's Second Law tells us that the sum of the forces or the resulting force is equal to the product of mass by acceleration.

F = m*a

[tex]150 = 30*a\\a=150/30\\a = 5 [m/s^{2} ][/tex]

What is a gravitational field, and how does it apply to Earth? what is its formula​. and what is an example of how you can use it?

Answers

Answer:

Explanation:

a gravitational field is the region of space surrounding a body in which another body experiences a force of gravitational attraction.

The formula is: weight/mass = gravitational field strength. On Earth the gravitational field strength is 10 N/kg.

an example of how you can use it if you need to find the gravitational force from earth.

Give three examples of how a cell's shape makes possible the cell's function

WILL GIVE BRAINLIEST

Answers

THIS NEEDS TO STOP NOW!

HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIEST

Name the three major parts of a cell and their functions

Answers

Answer:

cell membrane- controls what goes in and out of a cell

cell wall- protects DNA and other organelles inside a cell

ribosomes-makes and produces proteins

How does the appearance of each phase of the moon related to the
moon's position relative to Earth and the sun?

Answers

Answer:Moon phases are determined by the relative positions of the Moon, Earth, and Sun.

Explanation:

Instead, the Moon's phase depends only on its position relative to Earth and the Sun. The Moon doesn't make its own light, it just reflects the Sun's light as all the planets do.

A football tube in the form of a sphere is inflated so that it radius increases in the ratio 4:3 . Find the ratio in which the volume is increased. ​

Answers

Answer:

The volume is increased in a ratio of 64/27

Explanation:

The Volume of a Sphere

The volume of a sphere of radius r is given by:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

If the radius was changed to r', the new volume would be:

[tex]\displaystyle V'=\frac{4}{3}\cdot \pi\cdot r'^3[/tex]

Dividing the latter equation by the first one:

[tex]\displaystyle \frac{V'}{V}=\frac{\frac{4}{3}\cdot \pi\cdot r'^3}{\frac{4}{3}\cdot \pi\cdot r^3}[/tex]

Simplifying:

[tex]\displaystyle \frac{V'}{V}=\frac{r'^3}{r^3}[/tex]

Or, equivalently:

[tex]\displaystyle \frac{V'}{V}=\left(\frac{r'}{r}\right)^3[/tex]

Since r':r = 4:3, thus:

[tex]\displaystyle \frac{V'}{V}=\left(\frac{4}{3}\right)^3[/tex]

[tex]\displaystyle \frac{V'}{V}=\frac{4^3}{3^3}[/tex]

[tex]\displaystyle \frac{V'}{V}=\frac{64}{27}[/tex]

The volume is increased in a ratio of 64/27


1. What is the speed of a runner who runs 400 meters in 40
seconds?

Answers

Answer:

10 m/s

Explanation:

Speed = Distance / Time

Speed = 400 / 40

Speed = 10

Unit = meters per second = m/s

if vector A =i+2j-k and vec A cross vec B =3i-j+5k. find vec B​​​

Answers

Let B = a i + b j + c k. Then the cross product of A = i + 2j - k with B is

A × B = ( i + 2j - k ) × ( a i + b j + c k )

A × B  = a ( i × i ) + 2a ( j × i ) - a ( k × i )

… … … + b ( i × j ) + 2b ( j × j ) - b ( k × j )

… … … + c ( i × k ) + 2c ( j × k ) - c ( k × k )

A × B = 0 - 2a k - a j

… … … + b k + 0 + b i

… … … - c j + 2c i - 0

A × B = (b + 2c) i + (-a - c) j + (b - 2a) k

So we have

3 i - j + 5 k = (b + 2c) i + (c - a) j + (b - 2a) k

which gives us the system of equations,

{ b + 2c = 3

{ -a - c = -1

{ -2a + b = 5

Solve for a, b, and c.

• Eliminate c from the first two equations:

(b + 2c) + 2 (-a - c) = 3 + 2 (-1)

-2a + b = 1

But -2a + b = 5, and 5 ≠ 1, so there is no such vector B that satisfies the cross product!

Why's earths magnetosphere important ?

Answers

Answer:

The Earth's magnetic field protects life on Earth, shielding it from damaging radiation and moderating our climate. So the idea that it could completely flip around, or collapse altogether, should cause us

PLEASE MARK AS BRAINLIEST ANSWER

This is a two part question: What is the force of friction acting on a 100 kg steel slab at rest on a steel floor?
None of the above
725.94N
559.2N
0N
A 5.5kg bowling ball is going down the lane at constant velocity of 30 m/s.What is the net force acting on the bowling ball?
165N
55N
30N
ON

Answers

1) 0N... friction opposes the motion of an object, since the block is at rest there is no motion thus no friction

2) F=ma
= (5.5kg)(30m/s)
=165 N
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