**Physics Problem: Work and Energy**A skier with a mass of 107 kg travels down a frictionless ski trail. (a) If the top of the trail is 186 meters above the bottom, what is the work done by gravity on the skier?\[ \text{_______ J} \](b) Find the velocity of the skier when he reaches the bottom of the ski trail. Assume he starts from rest.\[ \text{_______ m/s} \]

Name: **Physics Problem: Work and Energy**A skier with a mass of 107 kg tra
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: **Physics Problem: Work and Energy**A skier with a mass of 107 kg travels down a frictionless ski trail. (a) If the top of the trail is 186 meters above the bottom, what is the work done by gravity on the skier?\[ \text{_______ J} \](b) Find the vel

The given values are, M = 107 kg. H = 186m

Science

Physics

A skier of mass 107 kg travels down a frictionless ski trail. (a) If the top of the trail is a height 186 m above the bottom, what is the work done by gravity on the skier? J (b) Find the velocity of the skier when he reaches the bottom of the ski trail. Assume he starts from rest. m/s

A skier of mass 107 kg travels down a frictionless ski trail. (a) If the top of the trail is a height 186 m above the bottom, what is the work done by gravity on the skier? J (b) Find the velocity of the skier when he reaches the bottom of the ski trail. Assume he starts from rest. m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: The diagram shows a crate with mass m = 38.2 kg being pushed up an incline that makes an angle φ =…

Q: A particle was subjected to a force Fx that varies with position as described by F =…

Q: A shopper in a supermarket pushes a cart with a force of 45 N directed at an angle of 25° below the…

A: Given values: Applied force, F=45 N Angle below the horizontal, θ=25° Length of the aisle, d=45.0 m

Q: You push a 20.0-kg crate at constant velocity up a ramp inclined at an angle of ?=34.0∘ to the…

A: Mass = m = 20 kg Angle = 34 Distance = S = 3 m

Q: A balloon of mass M lifts a small rock of mass m from its resting position on the ground to an…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A 3.0 kg block starts with a speed of 18 m/s at the bottom of a plane inclined at 39° to the…

A: Mass of block (m) = 3 kg Speed of block at the bottom of incline (v)= 18 msAngle of plane with the…

Q: Suppose a car travels 108 km at a speed of 40.0 m/s, and uses 2.00 gallons of gasoline. Only 30% of…

Q: A truck travels uphill with constant velocity on a highway with a 8.5° slope. A 45-kg package sits…

A: a) As the packet is moving with a constant velocity, the initial and final kinetic energy will be…

Q: with an initial speed of 14 m/s. Find the work done by gravity on the rock from the time it leaves…

Q: The force in Newtons on a particle directed along the x-axis is given by F(x)=exp(−(x/2)+5) for…

A: The force’s given expression is, The work done by the given force can be found as,

Q: A shopper in a supermarket pushes a cart with a force of 29 N directed at an angle of 25° below the…

A: It is given that, F=29 Nθ=25os=44 m

Q: A 3.11-kg model rocket is launched straight up. It reaches a maximum height of 91.5 m above where…

A: Given, Mass(M) = 3.11 kgWork done by Air resistance(W) =-690 J

Q: A sled of mass 70 kg starts from rest and slides down a 10° incline 80 m long. It then travels for…

A: Given that-Mass of the sled, m= 70 kgLength of the plane, L= 80 mAngle of inclination of the plane…

Q: A 2.0 kg block is initially held at rest at position A. The curved portion of the curve path AB is…

Q: A Net Force Fnet=(x-3x2)i + (2y2-y3)j acts on a 3.5 kg particle. a) Calculate the net work done on…

Q: As part of a mountain rescue team, you need to project a box of supplies up an incline of constant…

A: From the work energy theorem, it can be stated that the total work W done on the particle equals the…

Q: A delivery truck from the postal service is traveling with constant velocity up an interstate…

A: The forces on the box is shown below; In the above figure N is the normal force, mg is the weight…

Q: A barge is pulled down a canal by a horse walking beside the canal. if the angle of the rope is…

Q: A block of mass m is dropped onto a relaxed vertical spring with spring constant k (see the figure).…

Q: A truck travels uphill with constant velocity on a highway with a 6.5° slope. A 55-kg package sits…

Q: You drag your 30 kg suitcase 1200 m thru the Chicago airport at essentially constant velocity 2.0…

Q: A physicist has been studying the effects of an unknown force. The work required to move an object…

A: Given Work required by an unknown force = W Displacement = x W = A + b/x Where A and b are the…

Q: A physicist has been studying the effects of an unknown force. The work required to move an object…

Q: A truck travels uphill with constant velocity on a highway with a 8.0° slope. A 45-kg package sits…

A: Mass of package: m = 45 kg Angle of elevation: = 8.0o . Distance covered: s = 360 m

Q: A74.0 kg person climbs stairs, gaining 3.50 meters in height. Find the work done (in J) to…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A can of sardines is made to move along an x axis from x = 0.20 m to x = 1.24 m by a force with a…

A: Given:- A can of sardines is made to move along an x-axis from x = 0.20 m to x = 1.24 m by a force…

Topic Video

Question

**Physics Problem: Work and Energy**

A skier with a mass of 107 kg travels down a frictionless ski trail.

(a) If the top of the trail is 186 meters above the bottom, what is the work done by gravity on the skier?
\[ \text{_______ J} \]

(b) Find the velocity of the skier when he reaches the bottom of the ski trail. Assume he starts from rest.
\[ \text{_______ m/s} \]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: Calculating the work done

VIEW

Step 3: Calculating the final velocity

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 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

A single conservative force acts on a 5.7ˍkg particle. The equationFx=(2.3x+3.7)N describes the force, where x is in meters. As the particle moves along the x-axis from x = 1.2ˍm to x = 8.9ˍm, calculate the work done by the force on this particle, the change in the potential energy of the system, and the kineticenergy the particle has at x = 8.9ˍm if its speed is 5.4ˍm/s at x = 1.2ˍm.
A 60.0 kg skier with an initial speed of 12.0 m/s coasts up a 2.50-m—high rise. Find her final speed at the top, given that the coefficient of friction between her skies and the snows is 0.0800. Use the work energy theorem to solve for the final velocity.
A shopper in a supermarket pushes a cart with a force of 33.0 N directed at an angle of 25.0° below the horizontal. The force is just sufficient to balance various friction forces, so the cart moves at constant speed. Find the work done by the shopper on the cart as she moves down a 54.2-m-long aisle. The shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the work done by frictional forces doesn't change, would the shopper's applied force be larger, smaller, or the same? What about the work done on the cart by the shopper? Is the work larger in part a, or is the work larger in part b; or is the work the same in both parts?
Suppose a car travels 108 km at a speed of 20.0 m/s, and uses 2.00 gallons of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is 1.3 ✕ 108 J per gallon.)(a) What is the force exerted to keep the car moving at constant speed? N (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s? gallons
An 80.0-kg jogger starts from rest and runs uphill into a stiff breeze. At the top of the hillthe jogger has done the work Wnc1 = +1.80 * 104J, air resistance has done the workWnc2 = -4420 J, and the jogger’s final speed is 3.50 m>s. Find the height of the hill.
The force component along the displacement varies with the magnitude of the displacement, as shown in the graph. Find the work done by the force in the interval from (a) 0 to 0.9 m, (b) 1.0 to 2.0 m, and (c) 2.0 to 3.8 m. (Note: In the last interval the force component is negative, so the work is negative.)
A raindrop of mass 3.07 x 105 kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. (a) As it falls 115 m, what is the work done on the raindrop by the gravitational force? 3.16E-2 The answer to this part would not change if the air resistance force was not present. J (b) What is the work done on the raindrop by air resistance? -3.16E10-2 You are correct that the work done by air resistance will be the negative of the work done by the force of gravity. J
Two toboggans (with riders) of the same mass are at rest on top of a steep hill. As they slide down the hill, toboggan A takes a straight path down the slope while toboggan B winds back and forth along a more gently sloping path. Toboggan A makes the trip in one fifth the time of toboggan B. HINT (a) Compare the work done by gravity on each toboggan. g, A = W W (b) Compare the average power delivered by gravity on the two toboggans. g₁ A = P 9, B P 9, B
A Net Force Fnet=(x-3x2)i + (2y2-y3)j acts on a 3.5 kg particle. a) Calculate the net work done on the particle as it moves from (1.0m,0.0m) to (1.0m,4.0m). b) At (x,y) = (1.0m,0.0m), the particle's speed is 5.0 m/s. Find the particle's speed at (x,y) = (1.0m,4.0m).
A car with mass 1520 kg is traveling down the highway at a speed of 18 m/s when the driver slams on the brakes due to an accident up ahead. The car eventually comes to rest.According to the work-energy theorem the work is related to the change in kinetic energy, Wnet = Δ KE = KEfinal - KEinitial.(a) Using the work-energy relationship, determine how much net work is done on the car from the brakes? Report the magnitude of the the work (positive value) even though the work from brakes will be negative since the car is slowing down._____ J(b) The brakes apply a force of 24000 N to the car in order to make it stop. Using the fact that W = F d and the fact that the you found the work done (magnitude) by the brakes in part (b), determine the stopping distance, d, of the car.____ m
A bicyclist starting from rest applies a force of F = 239 N to ride his bicycle across flat ground for a distance of d = 210 m before encountering a hill making an angle of θ = 17 degrees with respect to the horizontal. The bicycle and rider have a mass of m = 120 kg combined. In this problem, you can ignore air resistance and other losses due to friction.How much work, W in joules, did the rider do before reaching the hill? What is the bicycle's speed, v in m/s, just before the hill? If the cyclist starts coasting at the bottom of the hill, what distance, di in meters, does the bike travel up the incline?
A raindrop of mass 3.20 x 10-5 kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. (a) As it falls 80 m, what is the work done on the raindrop by the gravitational force? J (b) What is the work done on the raindrop by air resistance? J