a car moving at a steady 10 m/s on a level highway encounters a depression that has a circular cross-section with a radius of 30 m. the car maintains its speed as it drives through the depression. what is the normal force exerted by the seat of the car on a 60.0-kg passenger when the car is at the bottom of the depression?

Answers

Answer 1

The automobile, which weighs 388 newtons, is at the bottom of the depression. At 17.15 m/s, the automobile loses contact with the bumpy road.

The normal force is the force that surfaces use to prevent solid objects from piercing one another. Normal forces include contact forces. Two surfaces that are not in contact cannot be moved by a normal force.

Calculation:

r = 30 m

v = 10 m/s

m = 60 kg

(a) Let N be the normal reaction.

At the bump

N = mg - mv^2 / r

N = 60 x 9.8 - 60 x 10 x 10 / 30 = 588 - 200 = 388 newton

(b) Then the contact loose, N = 0

So, mg = mv^2 / r

v^2 = r x g = 30 x 9.8 = 294

v = 17.15 m/s.

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Related Questions

The acceleration due to gravity on the Moon's surface is known to be about one-sixth of the acceleration due to gravity on the Earth.
A rock falls under a gravitational force of 16.3 N on the moon.
Please help me figure out the mass of the rock.

Answers

Answer:

The mass of the rock is approximately 9.97 kg

Explanation:

From the question, we have;

The acceleration due to gravity on the Moon = (1/6) × The acceleration due to gravity on the Earth

The gravitational force under which a rock falls on the Moon = 16.3 N

The acceleration due to gravity on Earth, g ≈ 9.81 m/s²

Therefore, the acceleration due to gravity on the Moon, a = (1/6) × 9.81 m/s² ≈ 1.635 m/s²

The relationship between the force with which the rock falls and the acceleration of the motion resulting in the force is given by the following relationship;

F = m × a

Where;

F = The force = 16.3 N

m = The mass of the object acted on by the force = The mass of the rock

a = The acceleration of the motion of the object = 1.635 m/s²

From F = m × a, we have;

m = F/a

∴ m = 16.3 N/(1.635 m/s²) = 9.96941896 kg

The mass of the rock, m ≈ 9.97 kg.

What is the equivalent of 0° C in Kelvin?
Help will give brainiest

Answers

Answer:

273.15 dat is the answer im pretty sure

PLEASE HELP!!!!!!!!!!!!!!!!Match the label with the reason it might be important to the consumers.
1. country of origin
Kelli only buys vegetables grown
without pesticides.
Angie only buys foods made with
2. Organic Certification
sea salt to cut sodium intake.
3. dietary guideline
Nikki prefers to buy local products
to lessen her carbon footprint.

Answers

Answer:

1 is Nikki

2 is Kelli

3 is Angie

Explanation:

Hope this helps!

A car hits a wall with a force of 80 N and
has a mass of 4.5 kg. What was the
acceleration of the car?

Answers

Formula for acceleration: A=Force/Mass
A=F/M
A=80N/4.5kg
A=17.7 m/s^2

Unit for A is meters per second (m/s^2)
Hope this helps :)

Can anybody help??????

Answers

Answer:

Explanation:

I think its b, a molecule

A 12.0 volt battery is connected in a series to 4 identical 5.00 ohm resistors connected in parallel to each other. What is the current through the battery?

Answers

Answer:

9.6 Amperes

Explanation:

since the resistors are connected in parallel connection the equivalent resistance is

1/R = 1 /5 + 1/5 + 1/5 + 1/5

solving for R we get 5/4 ohms

then from V=IR

I = V/R

I=12/(5/4)

hence I= 9.6 Amperes

A 12.0-volt battery is connected in a series, then the current through the battery is 9.6 A.

What are Resistors?

Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, biasing active components, and terminating transmission lines.

As part of motor controllers, power distribution systems, or as test loads for generators, high-power resistors that can dissipate many watts of electrical energy as heat may be used.

According to the question,

1/R = 1 /5 + 1/5 + 1/5 + 1/5

R = 5/4 ohms

By ohm's law,

V=IR

I = V/R

I=12/(5/4)

I= 9.6 Amperes

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Two balls are rolling using the same force. Which law explains why the bowling ball will roll a shorter distance than a soccer ball ?

1. Newton's 1st law

2. Newton's 2nd law

3. Newton's 3rd law

Answers

Answer:

newton's 2nd law

Explanation:

In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

Please help Draw where the rays will go and label the type of mirror.

Answers

Answer:

Explanation:

Please check the picture and consider straight lines

Which of the following scenarios would result in an increase of kinetic
energy?*

A) An object at rest at a height of 10 meters
B) A car accelerating from 10 m/s to 20 m/s
C) A car coming to a stop

Answers

B) car accelerating from 10 to 20

Answer:

B) A car accelerating from 10 m/s to 20 m/s

Explanation:

I explained this yesterday.

Which best summarizes a concept related to the work-energy theorem?
- When work is positive, the environment does work on an object.
- When work is negative, the environment does work on an object.
- When work is positive, the kinetic energy in a system remains constant.
- When work is negative, the kinetic energy in a system remains constant.

this is times pls help!

Answers

Answer:

When work is positive, the environment does work on an object.

Explanation:

According to the work-energy theorem, the net work done by the forces on a body or an object is equal to the change produced in the kinetic energy of the body or an object.

The concept that summarizes a concept related to the work-energy theorem is that ''When work is positive, the environment does work on an object.''

Answer:

Your answer is A!

Have a good day!

What is the magnet field of a magnet

Answers

A vector field that describes the magnetic influence on moving electric charges, electrical currents, and magnetic materials.

magnetic field is the area around a magnet, magnetic object, or an electric charge in which magnetic force is exerted.

WILL MAKE BRAINLIEST! How does Hooke’s law help us understand the force and energy in elastic materials?

The mass of a truck, m = 200 kg

Speed of the truck, v = 20 m/s

We need to find the momentum of the truck. The formula for momentum is given by :

Here, we will use snell's law to calculate the refractive of the substance:

[tex]\frac{\eta_2}{\eta_1} = \frac{Sin\theta_1}{Sin\theta_2}[/tex]

where,

η₁ = refractive index of first substance = ?

η₂ = refractive index of second substance = 1.5

θ₁ = angle of incidence = 30°

θ₂ = angle of refraction = 60°

Therefore,

[tex]\frac{1.5}{\eta_1} = \frac{Sin\ 30^0}{Sin\ 60^0}[/tex]

η₁ = 2.6

why is fluorine more chemically reactive than
nitrogen?

Answers

And fluorine requires only 1 electron to complete it's octet to get stable.. whereas,nitrogen don’t.Therefore Fluorine is more reactive and less stable than Nitrogen

Answer:

Nitrogen has Electronic configuration 1s2 2s2 2p3. Fluorine has Electronic configuration 1s2 2s2 2p5 i.e. nitrogen has half filled p subshell that makes it more stable than fluorine and fluorine requires only 1 electron to complete it's octet to get stable..Therefore Fluorine is more reactive than Nitrogen.

Hope it helps you

A roller coaster has a mass of 250 kg,
and is 50 meters above the ground, what
is the potential energy?

Answers

Potential Energy = mass x gravity x height
PE = mgh
PE = 250kg x 9.8 m/s^2 x 50m
PE = 118,750 joules = 118kJ

A roller coaster has a mass of 250 kg, and it is 50 meters above the ground, then the potential energy will be equal to 122.5 KJ.

What is Potential energy?

Potential energy is a type of energy stored that depends on the interaction between various substances. A spring's energy rises when it is crushed or expanded. A steel ball has more energy stored if it is lifted just above the floor as contrasted to dropping to the ground. As raised, it can do greater labor.

Instead of being a property of specific entities or atoms, potential energy is a property of systems. For instance, a system made up of Earth and the raised ball has far more stored energy as they move apart.

In system components, where the configurations, or spatial arrangements, dictate the magnitude of the forces that apply against one another, potential energy arises.

From the data given in the question,

Mass, m = 250 kg

Height, h = 50 meters and,

g = 9.8 m/s²

[tex]Potential energy(PE)=mgh[/tex]

PE = 250 × 50 × 9.8

PE = 122500 J or,

PE = 122.5 KJ.

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A proton travels through uniform magnetic and electric fields. The magnetic field is in the negative x direction and has a magnitude of 2.48 mT. At one instant the velocity of the proton is in the positive y direction and has a magnitude of 1840 m/s. At that instant, what is the magnitude of the net force acting on the proton if the electric field is (a) in the positive z direction and has a magnitude of 5.19 V/m, (b) in the negative z direction and has a magnitude of 5.19 V/m, and (c) in the positive x direction and has a magnitude of 5.19 V/m

Answers

Answer:

a) F = 15.6 10⁻¹⁹ k^ N, b) F = -1 10⁻¹⁹ k^ N,

c) F = (8.3 i^ + 73 k^) 10⁻¹⁹ N

Explanation:

In this exercise we calculate the magnetic and electric force separately.

Let's start by calculating the magnetic force

F_m = q v x B

where bold letters indicate vectors, the modulus of this expression is

F_m = q v B

the direction is given by the right hand rule, where the thumb points in the direction of velocity, the fingers are extended in the direction of the magnetic field and the palm is in the directional ne force if the charge is positive

let's calculate the magnitude

F_m = 1.6 10⁻¹⁹ 1840 2.48 10⁻³

F_m = 7.3 10⁻¹⁹ N

we calculate the direction, the thumb is in the direction of + y,

fingers extended in the direction of -ax

the palm remains + z

therefore the magnetic force is in the direction of the positive side of the z axis

The electric force is

F_e = q E

give several possibilities for the electric field

a) electric field E = 5.19 V / m in the direction of + z

we calculate

F_e = 1.6 10⁻¹⁹ 5.19

F_e = 8.3 10⁻¹⁹ N

the total force is

F = F_m + F_e

F = (8.3 k ^ + 7.3 k ^) 10⁻¹⁹

F = 15.6 10⁻¹⁹ k^ N

b) in the -z direction

F_e = -8.3 10⁻¹⁹ k^ N

F = Fm + Fe

F = (-8.3 k ^ + 7.3 k ^) 10⁻¹⁹

F = -1 10⁻¹⁹ k^ N

c) in the + x direction

F_e = 8.3 10⁻¹⁹ i^ N

the total force is

F = (8.3 i^ + 73 k^) 10⁻¹⁹ N

This graph shows the energy of a reaction over time. Which statement is
true?

A. H represents the energy of the products.

B. G represents the activation energy.

C. G represents the energy of the products.

D. F represents the activation energy

Answers

Answer: D.

Explanation: Just took the quiz.

Answer:

D. F represents the activation energy

Explanation:

HELP pleaseee which nucleus completes the following equation?

Answers

Answer:

its D

Explanation:

i just got it correct on a. p. e. x. :)

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Answer:

Answer 4, 11k/min

Explanation:

From 0 - 1 km, it took 12 minutes

From 1 - 2 km, it took 10 minutes.

10 + 12 = 22

Divide the time by 2 km. 22/2 = 11

The answer is the last one which is 11km/min

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