bicyclist is at the bottom of a hill with a speed of 30ft/s. After traveling 600 ft on the road, she reaches the top of the hill with a speed of 15ft/s. Her total acceleration at the top of the hill is 1.3ft/s^2. Assuming acceleration is constant, what is the radius of curvature of the hill?

bicyclist is at the bottom of a hill with a speed of 30ft/s. After traveling 600 ft on the road, she reaches the top of the hill with a speed of 15ft/s. Her total acceleration at the top of the hill is 1.3ft/s^2. Assuming acceleration is constant, what is the radius of curvature of the hill?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section5.3: Nonuniform Circular Motion

Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...

See similar textbooks

Related questions

Q: The system is released from rest with no slack in the cable and with the spring stretched 190 mm. De...

A: Given : Mass of cart = 11 kg Stretched spring = 190 mm

Q: Use a free body diagram to determine the force on a person’s hand, which is using a rope to accelera...

A: Given that The mass of the block (m) = 5Kg which is accelerated upward with the accele...

Q: (a) Calculate the fraction of atom sites that are vacant for copper (Cu) at a temperature of 975°C (...

Q: Kinetic energy

A: Given data : Velocity=V Mass=m Required : Kinetic energy

Q: A spring is compressed between two blocks, one with a mass of 2 kg and the other with a mass of 3 kg...

Q: The circuit to the right consists of a battery ( = 3.00 V) and five resistors (R = 611 2, R2 = 582 2...

A: First we calculate the effective resistance to find the total current passing through the circuit. T...

Q: A frog sat on a lily pad on the surface of a lake. The frog jumped from the lily pad onto a flat gra...

Q: A student jumped on a trampoline. In the picture above, she has stretched the trampoline as much as ...

Q: A box m = 99 kg is being pulled by a constant force F = 152 N at an angle of θ = 38 degrees. The ini...

A: The work done by a force to pull a body through a certain distance is given by W = F.s = Fscosθ, whe...

Q: Billy Joe pulled a large block of wood is across a frozen lake at a constant velocity. The block's m...

Q: The separation of the plates is 5.0 x10-3 m but decrease to 0.150 x10-3 m when a key is pressed. The...

A: In this question we have to determine the change in capacitance detected by the computer. Please giv...

Q: F B D h d4 d3

A: We need to find the vector AC, its magnitude and a unit vector along its direction.

Q: Given data : Force applied=10 N Mass=2 kg

A: Given Force applied, F = 10 N Mass ,M = 2 kg

Q: What is the wavelength of visible light that has a frequency of 2.4×10^14 Hz? Enter the result in na...

A: Given data: The visible light Frequency (f) = 2.4×1014 Hz Required: The wavelength (λ) in nanomet...

Q: The duration of a photographic flash is related to an RC time constant, which is 0.12 us during the ...

Q: over an ideal pulley such that the second block is suspended vertically. The second block is release...

Q: A 57 kg skier starts from rest at height H = 12 m above the end of a ski-jump ramp (see the figure)....

Q: A parallel plate capacitor has a capacitance of 7.0 µF when filled with a dielectric. The area of ea...

Q: The figure shows an overhead view of a 0.025 kg lemon half and two of the three horizontal forces th...

Q: Billy Joe pulled a large block of wood is across a frozen lake at a constant velocity. The block's m...

A: The frictional force due to kinetic friction is given by Ff = μkN, where μk = coefficient of kinetic...

Q: Three, equal, positive, point charges are moved through a uniform electric field as shown in the dia...

A: Given information :- Uniform electric field E→ Three equal positive point charges q1 = q2 = q3 =q (l...

Q: If you have a sample of an element, it is made of atoms that all have the same number of which type ...

A: To identify : The atoms in a sample of an element have the same number of which type of particlesin ...

Q: Activity 1 – Application of Electric Flux and Gauss’s Law Solve the following word problems. Show c...

A: Given value--- Linear charge density = 3 × 10-12 C/m. Electric field = 600 N/C. We have to find---...

Q: Fifty gram of ice at zero degree celsius ia added to 200 g of water at 40 degree celsius contained i...

A: Let heat of fusion of ice is L cal/g Then heat needed by ice to become water at 0 degree Celsius =50...

Q: A 30 kg girl and a 40 kg boy stand on roller skates, face one another, and push off each other. If t...

Q: a) What force does a soccer ball apply to a person’s foot if the ball experiences a 1000 N force? b)...

Q: Consider three-point charges at the corners of a triangle, where qa = 7.0×10¬ºC, qB = -3.0x10-°C, an...

Q: A positive particie traveling upwards enters a region of uniform electric field pointing rightward. ...

A: The electric force on a point charge in a uniform electric field is given by, F = qE Where, F = ele...

Q: In Bohr's model of the hydrogen atom, an electron orbits the nucleus in a circular motion. Assuming ...

A: We have to deduce Bohr Model energy level

Q: A digital communication system sends two messages, M=0 and M=1. A receiver observes a voltage signal...

Q: 200 lb 30° 150 lb 100 lb

Q: A freezer sustains a cold environment of -22°C and exhausts its heat at 40°C. Assume a Carnot cycle....

Q: twelve story building and look over the edge to the reflecting pool 170 feet below. You drop your bo...

A: We know that the third equation of motion is given as v2= u2+2as here v is the final velocity, u is...

Q: Two transverse sinusoidal waves combining in a medium are described by'the wave functions Y1 = 5.00 ...

Q: Rey on Planet Jakku throws a ball, and it follows the parabolic trajectory shown below. The ball’s v...

A: The ball when thrown at the starting has the velocity with positive X and Y-components. ux = 8 m/s ,...

Q: What is the gravitational potential energy, in joules, of the ball before it is released?

A: What is the gravitational potential energy, in joules, of the ball before it is released?

Q: 2. Climbing a vertical rope is difficult. You must lift your full body weight with your arms. If you...

A: Given value--- mass = 60 kg. height = 2 m. We have to find--- how much do you increase your gravi...

Q: A particularcorner of a room is chosenas the origin ofa rectangular coordinate system. If a fly is c...

A: GIVEN THAT THE CO-ORDINATE OF THE POINT OF THE FLY IS (2,1)TO DETERMINE THE DISTANC OF THE FLY , LET...

Q: A positron (a positive electron) passes through 2.15 V of potential difference. Later, an electron t...

A: The change in an positive electron's potential energy is equivalent to the work made by positive ele...

Q: A PET cyclotron has a magnetic field of 2 T. The proton radius before exiting the cyclotron is 40 cm...

A: Magnetic field, B=2T Radius=40 cm Mass of proton,m=1.67×10^(-27) kg Charge of proton, q=1.6×10^(-19)...

Q: If the resultant force acting on the bracket is to be directed along the positive x-axis, determine ...

Q: Constants | Periodic Part A Determine the terminal voltage of each battery in the ligure (Figure 1) ...

Q: A water jet consumes 3950W for 126 hours a week What is the energy consumed (kWh) for a one-year pe...

A: Given Power consumed by water jet =3950 W =3.950 kWh Used for 126 hours a week.

Q: A ball of mass m is thrown from ground level with initial horizontal velocity component Vox and init...

A: Given: Mass of a ball is m. Initial horizontal velocity component is v0x Initial vertical velocity c...

Q: The bob of a pendulum of length I= 0.8 m is released at an angle 0, = 60° with an initial speed of v...

Q: find the particle executes shm with a period of 0.002sec and amplitude 10cm find acceleration when i...

Q: 1. A particle moving in a straight line has an acceleration a = 4t – 9. Its initial velocity is 4m/s...

A: According to guidelines we need to solve only first question .kindly repost other question in the ne...

Q: Two position vectors lie in a plane. The first, vectorr. points at an angle of 20° below the positiv...

Q: 5. Suppose hat a particular muchine in a facfoal has two 'steel pieces that must (ub against each ot...

Q: An egg, initially at rest, is dropped onto a concrete surface; it breaks. Prove that the process is ...

A: When an object is in motion then the energy stored in motion form is known as kinetic energy. Potent...

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A bicyclist is at the bottom of a hill with a speed of 30ft/s. After traveling 600 ft on the road, she reaches the top of the hill with a speed of 15ft/s. Her total acceleration at the top of the hill is 1.3ft/s^2. Assuming acceleration is constant, what is the radius of curvature of the hill?

Expert Solution

Step 1

If an object moves in circular motion centripetal Acceleration acts on it.

Centripetal acceleration a = v²/r

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.
Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.
A small object moves at constant speed in a horizontal circle of radius 0.425 m. If the object makes two complete revolutions in one second, what is the magnitude of the acceleration of the object?
A bicyclist is at the bottom of a hill with a speed of 30 ft/s. After traveling 600 ft on the road, she reaches the top of the hill with a speed of 15 ft/s. Her total acceleration at the top of the hill is 1.3 ft/s^2. Assuming her acceleration along the road is constant. -What is the radius of curvature for the top of the hill?
If the magnitude of the acceleration due to gravity on Earth's surface is 9.8 m/s2, what is the magnitude of the acceleration due to gravity at an altitude equal to Earth's radius?
A small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m. It takes the object 0.100 s to complete one revolution. As the object passes through the lowest point of its motion, what is the magnitude of the acceleration of the object?
A person swings a rock around on a string, causing it to sweep out in a circle of radius 0.53 m. If the rock travels at a constant speed of 8.4 m/s, what acceleration does it experience?
The earth moves around the sun in an orbit that is roughly circular with a radius of 1.5 x 10^11m once every year (1 year = 3.15 x 10^7s). What is the magnitude of the acceleration experienced by the Earth?
At a distance of 25 km from the eye of a hurricane, the wind is moving at 180 km/h in a circle. What is the magnitude of the centripetal acceleration, in metres per second squared, of the particles that make up the wind?
The Ferris wheel in Mall Of Asia has a diameter of 90 meters and takes approximately 10 minutes to make a full circle. Determine the speed of the man riding (in m/s) on the Ferris wheel. a. 0.47 m/s b. 28.3 m/s c. 0.57 m/s d. 18 m/s
If a particle moves in a circle with a radius of 1.35 m at a constant speed of 6.70 m/s, what are the magnitude and direction of its centripetal acceleration?
At an altitude of 4 times the radius of the earth, the acceleration due to gravity is