Concept explainers
(a)
Speed of the sled and rider.
(a)
Answer to Problem 77P
Speed is
Explanation of Solution
Write down the equation of energy conservation.
Here
Write the equation for initial and final kinetic energy
Here
Write down the equation for initial and final gravitational potential energy.
Here
Substitute (II) and (III) in (I)
Rearrange (IV) in terms of
Conclusion:
Substitute
Speed is
(b)
Magnitude of force on water
(b)
Answer to Problem 77P
Force is
Explanation of Solution
Write the energy conservation equation for a motion incorporated with frictional force
Here
Substitute (II) and (III) in (VI)
Final kinetic energy is also zero as the final velocity is zero.
Now rearrange (VII) in terms of
Write the equation for normal force acting
Therefore total force on water is,
Here
Conclusion:
Substitute
Substitute
Substitute
Force is
(c)
Force exerted by the chute.
(c)
Answer to Problem 77P
Force is
Explanation of Solution
Use Pythagoras theorem to get the angle of slide
Here
Write the equation for force on
Conclusion:
Substitute
Substitute
Force is
(d)
Force exerted by chute on point C.
(d)
Answer to Problem 77P
The force is
Explanation of Solution
Write the equation for net force.
Here
Write the equation for
Here
Equate (XIII) and (XIV) and write for
Conclusion:
Substitute
The force is
Want to see more full solutions like this?
Chapter 7 Solutions
Principles of Physics: A Calculus-Based Text
- A Ferris wheel is a vertical, circular amusement ride with radius, R = 5 m. Riders sit on seats that swivel to remain horizontal. The Ferris wheel rotates so that riders move at a constant speed, v = 5 m/s. Consider a rider whose mass, m = 70 kg. Assume that the acceleration due to gravity, g = 10 m/s₂. H B * L. How much work does the force exerted by the seat do on the rider as they move from point E to point ? O None of these, because the rider's speed does not change O 3500) O-3501 O-3500arrow_forwardA satellite is orbiting the earth in a perfectly circular orbit of radius 7.0 x 10³ km at constant speed. The satellite's mass is m = 1.00 x 102 kg. The Earth's mass is 5.97 x 1024 kg. How much work does the Earth do on the satellite during one full orbit of the satellite?arrow_forwardA drop of water goes over a 250m waterfall at a speed of 6.7m/s. How far has the droplet fallen after 4 seconds. I have been having trouble with this for a while and really need some help explains how to solve it. A teacher at my school helped and when I got back on the website I'm taking the class the answer we came up with wasn't a choice. The choices are 78.48m, 156.96m, 19.62m, and 125m. I would really appreciate the help and explanation on how to figure out the answer I have 8 more problems selling with similar things.arrow_forward
- A dog with a mass of 57.0 kg slides down a wet slope with negligible friction. The dog starts from rest and has a speed of 2.10 m/s at the bottom. What is the height of the slope (in m)?arrow_forwardPlease help i don’t know how to slove?arrow_forwardYou push a .50kg block against a spring (k=3100 N/m),compressing it by .12m. The block is then released from rest and the spring pushes the block away. The spring and the block lose contact and the block collides with a second block of twice the mass. The two blocks slide together down a frictionless track consisting of a flat straightaway and a vertical, semi-circle of radius 40cm. What is the speed of the blocks when they have travelled halfway up the semicircle part of the track? What is the magnitude of the normal force on the two blocks at that same location?arrow_forward
- A 108 kg crate slides down a ramp, starting from rest. The ramp is inclined at an angle of 36.4 degrees with respect to the horizontal and has a height of 1.03 m. The crate is placed on frictionless casters so that it slides down the ramp without friction. What is the final speed of the crate (in m/s) just as it reaches the bottom of the ramp? Use g = 9.81 m/s².arrow_forwardYou are designing a ski jump ramp for the olympics. You need to calculate the vertical height (h) from the starting gate to the bottom of the ramp. The skiers push off hard with their ski poles at the start, just above the starting gate, so they typically have a speed of 2.0 m/s as they reach the gate. For safety, the skiers should have a speed of no more that 30.0 m/s when they reach the bottom of the ramp. You determine that for an 85.0 kg skier, friction and air resistance will do a total work magnitude 4000 j on him during his run down the slope. What is the maximum height (h) for which the maximum speed will not be exceeded?arrow_forwardA physics student ties a ball with a mass 0.30kg to a string which can exert a maximum force of 41 N without breaking. The student swings the ball in a circle with a radius of 0.91 m, slowly increasing the speed until the string breaks. The circle is oriented vertically so that the ball moves up and down while traveling in a circle. What is the speed of the ball as the string breaks?arrow_forward
- degrees Question 8. A wrecking ball swings at the end of a 11.2-m cable on a vertical circular arc. The crane operator manages to give the ball a speed of 10.1 m/s as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed vf does the ball have when the cable makes an angle of 21.8° with respect to the vertical? Ans: 9.29 m/s the foctort accelerating animals, for it can go from rest toarrow_forwardIn this problem, the friction is equal to zero. Vector A along the positive X axis = 14.0 meters/second. Vector B = 10.0 i+2.00 j Newtons. What is the Dot product of these vectors?arrow_forwardA 145 kg crate slides down a ramp, starting from rest. The ramp is inclined at an angle of 20.6 degrees with respect to the horizontal and has a height of 1.74 m. The crate is placed on frictionless casters so that it slides down the ramp without friction. What is the final speed of the crate (in m/s) just as it reaches the bottom of the ramp? Use g = 9.81 m/s?.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON