A 57.0 kg person in a
rollercoaster moving through
the bottom of a curved track of radius
42.7 m feels a normal force of 995 N.
How fast is the car moving?

Answers

Answer 1

Answer:

The linear speed of the car is approximately 27.30 m/s

Explanation:

The question parameters are;

The mass of the person on the rollercoaster, m = 57.0 kg

The radius of the rollercoaster track, r = 42.7 m

The normal force felt by the person, F = 995 N

The centripetal force acting on the person keep the circular motion is given by the following equation;

[tex]Centripetal \, force \ F_c = \dfrac{m \times v^2}{r}[/tex]

Where;

v = The linear velocity of motion = The linear speed of the car

The centrifugal force, F, is the force normal force felt by the person and is equal to the centripetal force, therefore, we have;

[tex]Centripetal \, force \ F_c = Centrifugal \, force \ F = \dfrac{m \times v^2}{r}[/tex]

From which we have;

[tex]F = 995 = \dfrac{57 \times v^2}{42.7}[/tex]

[tex]\therefore v = \sqrt{\dfrac{995 \times 42.7}{57} } \approx 745.38[/tex]

The linear speed of the car = v ≈ 27.30 m/s

The angular speed of the car, ω = v/r ≈ 27.30/42.7 ≈ 0.639 rad/s

Answer 2

Answer: 18.1 m/s

Explanation:


Related Questions

Which of the following is a unit of acceleration?

Answers

[tex]{\tt{\red{\underline{\underline{\huge{Answer:}}}}}}[/tex]

[tex]\longrightarrow[/tex] The rate of change of velocity per unit time is called acceleration.

[tex]\longrightarrow[/tex] Its SI unit is m/s².

[tex]\huge\boxed{\fcolorbox{blue}{red}{Thank you}} [/tex]

How do photons help explain the photoelectric effect?
A. Changing light frequencies create opposing electric fields that affect electrons.
B. "Packets" of electromagnetic energy eject electrons.
C. Particles with positive charge attract negative electrons.
D. Single particles of light take the place of electrons that have similar mass and energy.

Answers

Answer:

Option B

"Packets" of electromagnetic energy eject electrons.

Explanation:

A photon is a tiny packet of light. Light as we know is a form of electromagnetic energy. Whenever light is incident on a photoelectric surface, the energy of the light wave gets transferred to the electron, causing it to have enough energy to eject electrons from its surface. The electrons, once ejected, are now free to move about, thus, resulting in the flow of electrical current.

This makes option B the correct answer

Calculate the buoyant force on a 2.00-L helium balloon. (b) Given the mass of the rubber in the balloon is 1.50 g, what is the net vertical force on the balloon if it is let go

Answers

Answer:

Following are the solution to the given points:

Explanation:

In this question, some of the values are missing, that's why its solution can be defined as follows:

In point a:

Density of air [tex]\rho_{air} =1.29 \frac{kg}{m^3}\\\\[/tex]  

Density of helium [tex]\rho_{helium} =0.178 \frac{kg}{m^3} \\\\[/tex]

The volume of the helium balloon [tex]V= 2L[/tex]

[tex]\to V= 2 \times 10^{-3}[/tex]

Formula:

[tex]F_B = e_a V g\\\\[/tex]

[tex]= 1.29 \times 2 \times 10^{-3} \times 9.81\\\\ = 0.0253098 \ N[/tex]

where g is the acceleration due to gravity

In point b:

[tex]m_g= 1.5 \ g[/tex]

Formula:

[tex]F_{net}=F_B - (m_r + \rho_h \ v )g[/tex]

       [tex]= 0.0253098 - (1.5 \times 10^{-3} + 0.178 \times 2 \times 10^{-3} \times 9.81)\\\\= 7.10244 \times 10^{-3} \ N[/tex]

A rolling rock with a velocity of 20 m/s has a momentum of 5000 kg m/s. What is the rock’s mass

Answers

Answer:

250 kg

Explanation:

The mass of the rock can be found by using the formula

[tex]m = \frac{p}{v} \\ [/tex]

p is the momentum

v is the velocity

From the question we have

[tex]m = \frac{5000}{20} = \frac{500}{2} = 250 \\ [/tex]

We have the final answer as

250 kg

Hope this helps you

n Olympic diver is on a diving platform 3.60 m above the water. To start her dive, she runs off of the platform with a speed of 1.3 m/s in the horizontal direction. What is the diver's speed, in m/s, just before she enters the water

Answers

Answer:

8.5m/s

Explanation:

Using the equation of motion

v² = u² + 2gH

v is the final speed of the diver

u  is the initial speed of the diver

g is the acceleration due to gravity

H is the height of the object

Given the following

V = 1.3m/s

H = 3.60m

g = 9.8m/s²

Required

Initial speed of the diver u

Substitute the given values into the formula:

v² = u² -2gH

1.3² = u²  - 2(9.8)(3.60)

1.69 = u²-70.56

u² = 1.69+70.56

u² = 72.25

u = √72.25

u = 8.5m/s

Hence the diver's speed, in m/s, just before she enters the water is 8.5m/s

The chart below lists the densities of various gemstones. If a gemstone has a mass of 6.24 g and a volume of 1.98 cm cubed, which gemstone is it

A. Opal
B. Diamond
C. Garnet
D. Topaz

Answers

Answer:

C. Garnet

Explanation:

density = mass/volume

density = 6.24g/1.98cm^3

density = 3.15 g/cm^3 (Garnet)

Hope this helps!

Garnets are minerals that can be found as single crystals, pebble-like formations, or masses of intergrown crystals.They are opaque, transparent to translucent minerals. Thus, option C is correct.

What are the physical properties of Garnet?

A garnet has a volume of 1.6 cubic centimetres and a density of 3.5 grams per cubic centimetre. The proportion of a mineral's mass to volume is known as density. It is a measurement of how much “stuff” can fit into the space a mineral takes up.

Garnets can be found in a variety of colours, including orange, yellow, green, purple, brown, blue, black, pink, and colorless, but are most usually found in reddish tones.There are very few blue garnets.

Therefore, density = mass/volume density = 6.24g/1.98 cm^3 density = 3.15 g/cm^3 (Garnet).

Learn more about Garnet here:

https://brainly.com/question/28883904

#SPJ2

what is a good college i can attend if i have Low B's and high C's as grades

Answers

Answer:

search easy colleges to get into ig

Explanation:

A 1370-kg small aircraft accelerates along the runway from 7.4 m/s to 37.8 m/s in 5.20 seconds. Determine the net force acting upon the plane. (Assume that its engine/propeller makes no contributes to its forward motion)

Answers

Answer:

8009 N

Explanation:

Given that a 1370-kg small aircraft accelerates along the runway from 7.4 m/s to 37.8 m/s in 5.20 seconds. Determine the net force acting upon the plane. (Assume that its engine/propeller makes no contributes to its forward motion)

According to the definition of acceleration, acceleration is the change in velocity per time taken.

Acceleration a = ( 37.8 - 7.4 )/ 5.2

Acceleration a = 30.4 / 5.2

Acceleration a = 5.846 m/s^2

Force = mass × acceleration

Force = 1370 × 5.846

Force = 8,009 N

Therefore, the net force acting upon the plane is 8009 N. (Assume that its engine/propeller makes no contributes to its forward motion)

Sara is riding her bike down the road at 35 km/hr. She starts to peddle faster as she
approaches and rides up a hill. She accelerates at 2.0 km/hr2 for 3.0 minutes before
reaching the top of the hill. How long distance) did it take her to get to the top of the
hill?​

Answers

Answer:

Distance covered to top of the hill was : 1.755 km

Explanation:

Initial velocity = 35 km/hr

Acceleration = 2.0 km/hr²

Time taken to accelerate = 3 minutes = 3/60 hours = 1/20 hours

Formula for acceleration : a = Δv /t  

v-u/t    ---where u is initial velocity , v is final velocity and t is time taken for acceleration

v- 35 / 0.05 = 2

v = 35.10 km/h

Formula for distance is product of speed and time

Distance covered = 35.10 * 0.05 = 1.755 km

What is asexual reproduction?
List the various and describe four types of asexual reproduction.
What is sexual reproduction?
Why is sexual reproduction beneficial?

Answers

Answer:

there are a number of types of asexual reproduction including fission, fragmentation, budding, vegetative reproduction, spore formation and gamogenesis. Spore formation occurs in plants, and some algae and fungi, and will be discussed in additional concepts

the production of new living organisms by combining genetic information from two individuals of different types (sexes). In most higher organisms, one sex (male) produces a small motile gamete which travels to fuse with a larger stationary gamete produced by the other (female)

The advantages of sexual reproduction: produces genetic variation in the offspring. the species can adapt to new environments due to variation, which gives them a survival advantage. a disease is less likely to affect all the individuals in a population.

Explanation:


Need help can someone tell what each circuit is

Answers

Answer:

In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.

In a series circuit, the current that flows through each of the components is the same, and the voltage across the circuit is the sum of the individual voltage drops across each component. ... In a series circuit, every device must function for the circuit to be complete.

In a series circuit, all components are connected end-to-end, forming a single path for current flow. In a parallel circuit, all components are connected across each other, forming exactly two sets of electrically common points.

Explanation:

I hope these helps^,^      ^_^

A ball is thrown straight upward with a velocity of 14 m/s. What is the maximum height
reached by the ball?
(1 Point)
10 m
20 m
14 m
32 m

Answers

Hello!

[tex]\large\boxed{d = 10 m}[/tex]

When the ball reaches its maximum height, the velocity equals 0. We can use the kinematic equation:

vf = vi + at, where:

vf = final velocity (0)

vi = initial velocity (14 m/s)

a = acceleration due to gravity, or 9.8 m/s (downwards)

t = time, which will be solved for.

Plug in the given values:

0 = 14 - 9.8(t)

-14 = -9.8(t)

t ≈ 1.429 sec

Solve for the distance traveled using the kinematic equation:

d = 1/2(vf + vi)t

Plug in the values:

d = 1/2(14 + 0)(1.429)

d = 1/2(14 · 1.429)

d ≈ 10 m

A 60 N force is applied over distance of 15 m. How much work was done? ( show work)

Answers

Work = force x distance
Work= 60N x 15m
Work= 900 Newton-meter

A bag of sugar weights 20 N on the earths surface. If you double the distance from the center of the earth, the bag now weighs what

Answers

I have no idea that’s a hard one

The resultant of two forces is 250 N and the same are inclined at 30° and 45° with resultant one on either side calculate the magnitude of two forces​

Answers

Answer:

The two forces are;

1) Force 1 with magnitude of approximately 183.013 N, acting 30° to the left of the resultant force

2) Force 2 with magnitude of approximately 129.41 N acting at an inclination of 45° to the right of the resultant force

Explanation:

The given parameters are;

The (magnitude) of the resultant of two forces = 250 N

The angle of inclination of the two forces to the resultant = 30° and 45°

Let, F₁ and F₂ represent the two forces, we have;

F₁ is inclined 30° to the left of the resultant force and F₂ is inclined 45° to the right of the resultant force

The components of F₁ are [tex]\underset{F_1}{\rightarrow}[/tex] = -F₁ × sin(30°)·i + F₁ × cos(30°)·j

The components of F₂ are [tex]\underset{F_2}{\rightarrow}[/tex] = F₂ × sin(45°)·i + F₂ × cos(45°)·j

The sum of the forces = F₂ × sin(45°)·i + F₂ × cos(45°)·j + (-F₁ × sin(30°)·i + F₁ × cos(30°)·j) = 250·j

The resultant force, R = 250·j, which is in the y-direction, therefore, the component of the two forces in the x-direction cancel out

We have;

F₂ × sin(45°)·i = F₁ × sin(30°)·i

F₂ ·√2/2 = F₁/2

∴ F₁ = F₂ ·√2

∴ F₂ × cos(45°)·j  + F₁ × cos(30°)·j = 250·j

Which gives;

F₂ × cos(45°)·j  + F₂ ·√2 × cos(30°)·j = 250·j

F₂ × ((cos(45°) + √2 × cos(30°))·j = 250·j

F₂ × ((√2)/2 × (1 + √3))·j = 250·j

F₂ × ((√2)/2 × (1 + √3))·j = 250·j

F₂ = 250·j/(((√2)/2 × (1 + √3))·j) ≈ 129.41 N

F₂ ≈ 129.41 N

F₁  = √2 × F₂ = √2 × 129.41 N ≈ 183.013 N

F₁  ≈ 183.013 N

The two forces are;

A force with magnitude of approximately 183.013 N is inclined 30° to the left of the resultant force and a force with magnitude of approximately 129.41 N is inclined 45° to the right of the resultant force.

You and your little sister go to the park in cheetah started to go down the plastic slide. On her way down to euros out ouch! When you rush over to ask her what happened she replied the slide shocked me. Explain why this event took place using the distribution of charges.

Answers

As you slide down the plastic slide, electrons move from the plastic to you. ... Touch another person or an object (anything that isn't negatively charged by extra electrons) and ZAP! The electrons move from you to the other object. You get a shock

A 438kg car is accelerating east at 2.55m/s^2. What is the total force acting east on the car

Answers

Answer:

1116.9 N

Explanation:

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

force = mass × acceleration

From the question we have

force = 438 × 2.55

We have the final answer as

1116.9 N

Hope this helps you

Question 6 of 15
6
The rate at which work is done is called power.
O A True
O B. False

I believe it’s true?

Answers

Answer: A) True, you are correct

==================================================

Explanation:

Power in physics is defined as

power = (change in work)/(change in time)

which shows that power is basically the rate of work done. We can think of it like a speed of sorts.

------------

For example, if you apply 100 joules of work over 2 seconds, then,

power = (100 joules)/(2 seconds)

power = (100/2) joules per second

power = 50 watts

A watt is defined to be a joule per second, and it's often used to measure how much electricity is consumed, but it has broader uses in physics as well.


State three uses of dimensions.







Answers

Explanation:

answers.................

Explanation:

dimension are used for

1 we check the homogeneity of a physical equation

2 drive a possible formula for a physical problem

3 To find dimensions of physical constants or coefficients.

A block of concrete weights 1200 N. It’s base is a square with sides 4m long. what pressure does the concrete block exert on the ground ?

Answers

Explanation:

pressure=force/area

area =4×4=16 m^2

therefore p= 1200÷16

= 75 Nm^-2/Pa

An object that falls and accelerates solely as a result of gravity is said to be in
(2 points)
A. terminal velocity
B. free fall
C. air resistance
D. terminal acceleration

Answers

I think the answer is c

29. A student notices that wearing care colors insight makes him feel warmer se he decides to conduct an experiment. He kese seces of bored and was
each one around a bete beten places alive betties in direct sunlight and measures the temperature of the water in each clean hout
what is the independent variable in this exermet
the temperature of the water
the outside temperature
the color of the con

Answers

Answer:

This question is unclear but the answer is:

the color of the con

Explanation:

In an experiment, the independent variable is the variable that is changed or manipulated by the experimenter to achieve a measurable response.

In this experiment which involves a student that notices that wearing care colors insight makes him feel warmer se. He decides to conduct an experiment by manipulating the colors of the cares, hence, the color of the con is the independent variable.

Question 5 of 10
Why are magnetic materials attracted to magnets?
A. They become permanent magnets when they are in a magnetic
field,
B. They become temporary magnets when they are in a magnetic
field.
C. They are temporary magnets whether or not they are in a magnetic
field.
D. They are also attracted to Earth's magnetic field, which is always
present

Answers

Answer:

The answer is B

Explanation:

Trust

A boy throws a ball with a velocity of 30m/s.Find the total tome elapsed between throwing and catching the ball
(take g=10m/s2)

Answers

Answer:

x=45.92m

Explanation:

It's a pretty simple suvat linear projectile motion question, using the following equation and plugging in your values it's a pretty trivial calculation.

V^2=U^2+2*a*x

V=0 (as it is at max height)

U=30ms^-1 (initial speed)

a=-g /-9.8ms^-2 (as it is moving against gravity)

x is the variable you want to calculate (height)

0=30^2+2*(-9.8)*x

x=-30^2/2*-9.8

x=45.92m

With these questions it's best to just memorise the suvat equations and either draw or imagine the actions involved, that was you can tell what piece of given information translates to which variable. For example; I know that I am looking for max height, so when a ball is at its highest point, it can't be moving up anymore (thus V = 0). I also know that it is moving upwards against gravity, so gravity will be decelerating the ball (therefore a=-g). In a paper, it may as for assumptions with this question, a good answer would be no air resistance or movement due to any other external forces. I hope I helped :)

Answer:

By applying the law of conservation of energy, we can write the following equation.

Gain in potential energy =loss in kinetic energy.

mgh = 1/2(mu^2)

Where, the symbols represent usual quantities.

Hence, h = u^2/2g = 30^2/2x10 = 900/20

= 45 m

Hence, the maximum height attained is 45 m.

Alternative method:

v^2 = u^2 +2gh

0 = 30^2 +2(-10)h, at the highest point v=0

20h = 900

h = 900/20 = 45 m

1. What similarities do you notice
Within a group(column)?
Within a row (period)?
2. Locate the element in Period 4, Column 1.
Predict the number of valence electrons.
Predict the Lewis Dot Structure.

Answers

Answer:

1. What similarities do you notice

Within a group(column)?

Within a row (period)?

2. Locate the element in Period 4, Column 1.

Predict the number of valence electrons.

Predict the Lewis Dot Structure

can somebody calculate the velocity of this? ill give 30 points

Answers

Answer:

2m/s

Explanation:

time is 5 seconds

distance is 10m

the formula for velocity is v=d/t

so, v=10/5

v=2 m/s

draw position time graph when speed is increasing​

Answers

Explanation:

We need to draw position-time graph when the speed is increasing.

The slope of position-time graph gives the speed of an object.

Position means distance covered.

When the speed of an object is increasing with time. It means it is moving with increasing speed.

The attached figure shows the position -time graph when speed is increasing​.

) prove that the acceleration due to gravi
is independent to the mass of the falling body

Answers

Explanation:

Let the mass of the body is m. The gravitational force acting on the object is given by :

[tex]F=\dfrac{GMm}{r^2}[/tex] ....(1)

G is universal gravitational constant

M is mass of Earth

r is the distance between the body

The acceleration of falling objects due to the gravitational force of Earth is equal to the acceleration due to gravity (g).

F = mg ...(2)

g is acceleration due to gravity

From equation (1) and (2) :

[tex]\dfrac{GMm}{r^2}=mg\\\\g=\dfrac{GM}{r^2}[/tex]

Here, M is mass of Earth and r is the distance. Hence, the acceleration due to gravi ty is independent to the mass of the falling body

A force of 150 kg x m/s (Newtons) acts on a 0.5kg object. What rate of acceleration will result?

Answers

Answer:

300m/s/s

Explanation:

a=f/m

f=150N

m=.5kg

150/.5=300

help please asap due 20 minutes please help me ​

Answers

did you turn it in yet?
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