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A roller-coaster car (Fig. P6.16) has a mass of 500 kg when fully loaded with passengers. The path of the ca coaster from its initial point shown in the figure to point Ⓑ involves only up-and-down motion (as seen by the riders), with no motion to the left or right, (a) If the vehicle has a speed of 20.0 m/s at point Ⓐ. what is the force exerted by the track on the car at this point? (b) What is the maximum speed the vehicle can have at point Ⓑ and still remain on the track? Assume the roller-coaster tracks at points Ⓐ andl Ⓑ are parts of vertical circles of radius r1 = 10.0 m and i2 = 15.0 m, respectively.
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Chapter 6 Solutions
Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
- A 4.0-kg particle moving along the x -axis is acted upon by the force whose functional form appears below. The velocity of the particle at x = 0 is v = 6.0 m/s. Find the particle’s speed at x=(a)2.0m, 2.0 (b)4.0 m. (c) 10.0m, (d) Does the particle turn around at some point and head back toward the origin? (e) Repeat part (d) if v = 2.0 m/s at x = 0.arrow_forwardAssume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 50 cm and holds it in position with a force of 150 N. If the mass of the arrow is 50 g and the “spring” is massless, what is the speed of the arrow immediately after it leaves the bow?arrow_forwardTwo blocks, A and B (with mass 50.0 kg and 1.00 102 kg, respectively), are connected by a string, as shown in Figure P5.86. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is k = 0.250. Determine the change in the kinetic energy of block A as it moves from to , a distance of 20.0 m up the incline (and block B drops downward a distance of 20.0 m) if the system starts from rest. Figure P5.86arrow_forward
- A 600 kg roller coa sters starts at A and moves to B and then to C under the influence of gravity alone. At point A, the roller coaster is moving to the right with a speed of 29 m/s. Point A is 100 m above B and C is 10m above B. Friction is negligible. 100 m How fast is the roller coaster moving at C? 42.3 m/s 29 m/s 140 m/s 51.0 m/sarrow_forwardAn object of mass ?=8.9 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of ?⃗=(3 N)?̂+(4 N)?̂. What is the object's speed in m/s after moving 1 meter?arrow_forwardA 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure.Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.35.arrow_forward
- A 60.0 kg skier with an initial speed of 13 m/s coasts up a 2.50 m high rise as shown in the figure. Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.37.arrow_forwardA constant net force of 60.0 N acts on an object initially at rest and acts through a parallel distance of 0.77m. If the object has a mass of 0.19 kg, what is its final speed?arrow_forwardA 8.00-kg block of ice is released from rest at the top of a 1.60-m long frictionless ramp, slides downhill, reaching a speed of 3.25 m/s at the bottom. What is the angle between the ramp and the horizontal?arrow_forward
- An object of mass, m = 56 kg starts to slide from rest on a curved ramp from height, H = 37 m above the end of the ramp (as shown in the figure). Consider the ramp to be frictionless and neglect the effects of air resistance. %3D H yend of ramp (a) What is the speed of the object at the end of the ramp? (b) If the velocity of the object at the end of the ramp makes an angle 0 = 21° with the horizontal, what is maximum height, h of its jump above the end of the ramp?arrow_forwardThe mass of a two-person bobsled (without the people) is 300 kg. The bobsled starts from rest, and then the crew members push the sled with a constant force of 430 N on a flat, horizontal snowy surface for 25 meters before jumping aboard. The frictional force on the bobsled due to snow is 140 N, and air resistance on the bobsled is 20 N. What is the instantaneous speed of the bobsled after the crew members push it for 25 meters?arrow_forwardIn a truck-loading station at a post office, a small 0.200 kg package is released from rest at point A on a track that is one-quarter of a circle with radius 1.60 mm (Figure 1). The size of the package is much less than 1.60 mm, so the package can be treated as a particle. It slides down the track and reaches point B with a speed of 5.40 m/sm/s. From point B, it slides on a level surface a distance of 3.00 mm to point C, where it comes to rest. What is the coefficient of kinetic friction on the horizontal surface? How much work is done on the package by friction as it slides down the circular arc from A to Barrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
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