A child and sled with a combined mass of 52.5 kg slide down a frictionless hill that is 7.08 m high at an angle of 36° from horizontal. The acceleration of gravity is 9.81 m/s². If the sled starts from rest, what is its speed at the bottom of the hill? Answer in units of m/s.

A child and sled with a combined mass of 52.5 kg slide down a frictionless hill that is 7.08 m high at an angle of 36° from horizontal. The acceleration of gravity is 9.81 m/s². If the sled starts from rest, what is its speed at the bottom of the hill? Answer in units of m/s.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter9: Energy In Nonisolated Systems

Section: Chapter Questions

Problem 17PQ

See similar textbooks

Related questions

Q: Starting from rest, a 99-kg firefighter slides down a fire pole. The average frictional force…

Q: A roller-coaster car has a mass of 500 kg when fully loaded with passengers (a) If the car has a…

Q: 3. top of a surface inclined at 50.0° with height of 10.0 [m], as shown in the figure. The…

Q: A girl and her bicycle have a total mass of 42 kg. At the top of the hill her speed is 4.00 m/s. The…

Q: F231G A single frictionless roller-coaster car of mass m 200 kg tops the first hill with speed vo =…

Q: roller-coaster car is moving at 20 m/s along a traight horizontal track. What will its speed be…

Q: A package with a mass of 40.0 kg slides down a smooth ramp with negligible friction. The package…

Q: In scaling a vertical wall, spiderman needs 3.1 kW of power to maintain a speed of 4.5 m/s. If…

Q: A two-man bobsled has a mass of 350 kg. Starting from rest on a level road, the two racers push the…

A: Given data: - The mass of the bobsled is m = 350 kg. The net force on the bobsled is F = 290 N.…

Q: A person is available to ski from the top of a snow mountain whose height is 10.0 m. Ignoring…

A: Since there are multiple questions posted, we will answer the first question for you. If you want…

Q: The potential energy gained by a 50 000 kg train after climbing a 20 m hill is a. 1.0 x 106 kg b.…

A: Given data: Mass (m) = 50000 kg Height (h) = 20 m Required: Potential Energy (PE)

Q: 3.70-kg particie is subject to a net force that varies with position as snown in the figure. The…

A: GivenMass of particle, m=3.70 kg

Q: A particle of mass 3.8 kg is constrained to move along the x-axis under a single force F(x) = -cx,…

A: The total mechanical energy of the particle at point A, EA=12mvA2 Substitute, EA=123.8 kg5.7…

Q: A 150 N force acting along an incline is pushing a 6.50 kg object 4.65 m up a 20.0 degree incline.…

A: Analyze the free body diagram. Consider the rightward direction along the incline plane to be…

Q: In the figure, a frictionless roller coaster car of mass m = 816 kg tops the first hill with speed…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: Since the ball is at rest, it has no kinetic energy and thus the total mechanical energy of the ball…

Q: How long will it take a 844-kg car with a useful power output of 48.5 hp (1 hp equals 746 W) to…

Q: A roller coaster starts from rest at its highest point and then descends on its (frictionless)…

Q: A roller-coaster car has a mass of 500 kg when fully loaded with passengers (a) If the car has a…

A: Mass , m = 500 kg Velocity at point A , VA = 20 m/s To find = velocity at point B .

Q: A 100 kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 200…

A: Given value--- mass = 100 kg. horizontal force = 200 N. first distance = 15 m. second distance = 15…

Q: A car accelerates from rest to 14 m/s in 5 seconds on a horizontal road under perfect conditions. If…

Q: A 900-kg car cruising at a constant speed of 60 km/h is to accelerate to 100 km/h in 4 s. The…

Q: What is the speed of a 14 kN body at rest then falling from a height of 238 m.

A: During free fall if the air resistance is neglected the final velocity of a body dropped from a…

Q: A sled of mass 1.59 kg has an initial speed of 4.84 m/s across a horizontal surface. The coefficient…

A: Please note : As per answering guidelines I can answer the first question only.Since, this is not a…

Q: A 445 N boy swings on a 3.0 m long swing. If his horizontal speed at the lowest point is 3.0 m/s,…

A: Given Weight of boy W=445N length of rope l=3m Speed at lowest point v=3m/s

Q: How much work must be done by frictional forces in slowing a 1000.0 kg car from 19.8 m/s to rest?…

A: Given data: Mass (m) = 1000.0 kg Initial velocity (Vi) = 19.8 m/s Final velocity (Vf) = 0 m/s…

Q: What is the potential energy in J of a bungee jumper standing on a 0.109 km bridge that weighs 85…

Q: In the figure, a frictionless roller coaster car of mass m = 810 kg tops the first hill with speed…

Q: As a 1.4×104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down.…

Q: A child on a sled starts from rest at the top of a 20.0° frictionless slope that is 100m long. What…

Q: A 2100 kg car starts from rest at the top of a driveway that is sloped at an angle of 20° with the…

A: Given data: Mass of the car, m=2100 kg Angle, θ=20° Energy lost, ΔE=20×103 J Speed of the car at the…

Q: A particle of mass 3.4 kg is constrained to move along the x-axis under a single force F(x) = -cx',…

Q: A car's engine generates 80000 W of power as it exerts a force of 6000 N. How long does it take the…

A: Given, Power generates engine of the car, P = 80000 Wforcec exerted by engine, F = 6000 Ndistance…

Q: A worker is trying to drop a 10 kg boulder off a 10 m high cliff.. At this particular location,…

Q: An object of mass m= 7.6 kg is free to move on a horizontal surface without any friction. It is…

A: Given : mass of the object, m = 7.6 kg Initial velocity, u = 0 m/s Force, F = (3 N)i^ + (4 N)j^ So ,…

Q: The loaded cab of an elevator has a mass of 4.70 x 10° kg and moves 233. m up the shaft in 21.0 s at…

A: Given: The mass of the elavator is 4.7x103 kg. The displacement of the elevator is 233 m vertically.…

Q: 5. What is the kinetic energy of a box of mass 0.75 [kg] sliding on a frictionless surface at a…

A: mass of box (m) = 0.75 kg constant speed (v) = 3 ms

Q: Q28. A boy climbs onto a wall that is 3.4 m high and gains 2250 J of potential energy. What is the…

A: Here, height of the wall (h) = 3.4 m potential energy (U) =2250 J acceleration due to gravity(g)=…

Q: An object of mass m = 2.9 kg is free to move on a horizontal surface without any friction. It is…

A: Given data: Mass of the object is m=2.9 kg. Force on the object is F→=3 Ni^+4 Nj^. Distance moved by…

Q: 1) 4 m/s A cart starting from rest rolls down a hill and at the bottom has a speed of 4 m/s. If the…

Q: A two-man bobsled has a mass of 290 kg. Starting from rest, the two racers push the sled for the…

Q: The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 6.3…

A: Initial speed of skateboarder = 6.3ft/s Value of g=32.174ft/s2 Here no nonconservative force are…

Q: A cart moves to the right along a frictionless track. What is the minimum speed of the cart at…

A: Given : Cart traveling to the right through the frictionless track.

Q: A two-man bobsled has a mass of 350 kg. Starting from rest on a level road, the two racers push the…

A: Initial velocity (u) = 0 m/s Total mass (m) = 350 kg Applied force (F) = 290 N distance moved (d) =…

Q: A 500. kg pig is standing at the top of a muddy hill on a rainy day. The hill is 100.0 m long with a…

A: The pig has Potential Energy at the top of the hill. As it rolls down, the Potential energy is…

Q: 1) a child and sled with combined mass of 46.7kg slide down a fictionless hill that is 10.2m high at…

A: As the gravitational force is conservative force so the workdone/ energy is path independent if…

Q: A motorbike engine can develop a power of 90000 W in order to keep a constant velocity of 30 m/s.…

Concept explainers

Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.

Question

Please help i don’t know how to slove?

A child and sled with a combined mass of 52.5
kg slide down a frictionless hill that is 7.08 m
high at an angle of 36° from horizontal.
The acceleration of gravity is 9.81 m/s².
If the sled starts from rest, what is its speed
at the bottom of the hill?
Answer in units of 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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

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 100 — kg man is skiing across level ground at a speed of 8.0 m/s when he comes to the small slope 1.8 m higher than ground level shown in the following figure. (a) If the skier coasts up the bill, what is his speed when he reaches the top plateau? Assume friction between the snow and skis is negligible. (b) What is his speed when he reaches the upper level if an 80 — N frictional force acts on the skis?
In an iconic movie scene, Forrest Gump (https://openstaxcollege.org/l/21ForrGumpvid) runs around the country. If he is running at a constant speed of 3 m/s, would it take him more or less energy to run uphill or downhill and why?
A 6.50 102-kg elevator starts from rest and moves upward for 3.00 s with constant acceleration until it reaches its cruising speed, 1.75 m/s. (a) What is the average power of the elevator motor during this period? (b) How does this amount of power compare with its power during an upward trip with constant speed?
A 500-kg dragster accelerates from rest to a final speed of 110 m/s in 400 m (about a quarter of a mile) and encounters an average frictional force of 1200 N. What is its average power output in watts and horsepower if this takes 7.30s?
How much energy is lost to a dissipative drag force if a 60-kg person falls at a constant speed for 15 meters?
As shown in Figure P7.20, a green bead of mass 25 g slides along a straight wire. The length of the wire from point to point is 0.600 m, and point is 0.200 in higher than point . A constant friction force of magnitude 0.025 0 N acts on the bead. (a) If the bead is released from rest at point , what is its speed at point ? (b) A red bead of mass 25 g slides along a curved wire, subject to a friction force with the same constant magnitude as that on the green bead. If the green and red beads are released simultaneously from rest at point , which bead reaches point first? Explain. Figure P7.20
Calculate the power output needed for a 950-kg car to climb a 2.00 slope at a constant 30.0 m/s while encountering wind resistance and friction totaling 600 N.
As a young man, Tarzan climbed up a vine to reach his tree house. As he got older, he decided to build and use a staircase instead. Since the work of the gravitational force mg is path Independent, what did the King of the Apes gain in using stairs?
A sledge loaded with bricks has a total mass of 18.0 kg and it pulled at constant speed by a rope inclined at 20.0 above the horizontal. The sledge moves a distance of 20.0 m on a horizontal surface. The confident of kinetic friction between the sledge and surface it 0.500. (a) What is the tension in the rope? (b) How much work is done by the rope on the sledge? (c) What is the mechanical energy lost due to friction?
What is the dominant factor that affects the speed of an object that started from rest down a frictionless incline if the only work done on the object is from gravitational forces?
A 537-kg trailer is hitched to a truck. Find the work done by the truck on the trailer in each of the following cases. Assume rolling friction is negligible. a. The trailer is pulled at constant speed along a level road for 2.30 km. b. The trailer is accelerated from rest to a speed of 88.8 km/h. c. The trailer is pulled at constant speed along a road inclined at 12.5 for 2.30 km.
A 5.0-kg block is pushed 3.0 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of = 30 with the horizontal, as shown in Figure P5.76. If the coefficient of kinetic friction between block and wall is 0.30, determine the work done by (a) , (b) the force of gravity, and (c) the normal force between block and wall, (d) By how much does the gravitational potential energy increase during the blocks motion? Figure P5.76