Explanation Total force acting on the entire system is given as follows: F = N sin θ + μ N cos θ Here, N is the normal force, μ is coefficient of friction and θ is angle of inclination. The above equation can also be written as given below: m a = m g sin θ + μ m g cos θ a = g ( sin θ + μ cos θ ) …… (1) Length of the ramp L = h sin θ …… (2) Speed of the motor is given by using the Newton’s equation of motion as given below: v 2 = u 2 + 2 a s …… (3) Here, s is the length of the ramp. The person sits on the motorcycle now jumps into the pool so it s velocity will be both in x- and y-direction. So, resolve the velocity components as given below: v = v x + v y Here, v x = v cos θ …… (4) v y = v sin θ …… (5) Time for the projectile in air given as below: s y = v y t − 1 2 g t 2 …… (6) Here, s is height of the ramp and g is the acceleration due to gravity. Finally, the distance travel through the air after leaving the end of the ramp is given as follows: x = u t …… (7) Here, u is the initial velocity of the motorcycle. Given: Height of the ramp h = 2.0 m Angle of inclination θ = 20 ο Width of the pool w = 10 m Initial speed of the motorcycle on the ramp u = 11 m/s Coefficient of friction between the tires and dry μ = 0.02 Formula used: a = g ( sin θ + μ cos θ ) L = h sin θ v 2 = u 2 + 2 a s s y = v y t − 1 2 a t Calculation: Substitute, 9.8 m/s 2 for g , angle of inclination θ = 20 ο , u = 11 m/s in equation (1), so the acceleration of motorcycle is given as below: a = 9.8 m/s 2 ( sin ( 20 ο ) + 0.02 cos ( 20 ο ) ) = 3

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

4th Edition

ISBN: 9780134110684

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

See similar textbooks

Concept explainers

Projectile Motion

Videos

Question

Chapter 8, Problem 35EAP

To determine

The distance travel through the air after leaving the end of the ramp

Expert Solution & Answer

Chapter 8 Solutions

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Ch. 8 - In uniform circular motion, which of the following...Ch. 8 - A car runs out of gas while driving down a hill....Ch. 8 - FIGURE Q8.3 is a bird's-eye view of particles on...Ch. 8 - Tarzan swings through the jungle on a massless...Ch. 8 - FIGURE Q8.5 shows two balls of equal mass moving...Ch. 8 - Ramon and Sally are observing a toy car speed up...Ch. 8 - A jet plane is flying on a level course at...Ch. 8 - A small projectile is launched parallel to the...Ch. 8 - 9. You can swing a ball on a string in a vertical...Ch. 8 - A golfer starts with the club over her head and...

Ch. 8 - As a science fair project, you want to launch an...Ch. 8 - A 500 g model rocket is on a cart that is rolling...Ch. 8 - A 4.0 × 1010 kg asteroid is heading directly...Ch. 8 - A 55 kg astronaut who weighs 180 N on a distant...Ch. 8 - A 1500 kg car drives around a flat 200-m-diameter...Ch. 8 - A 1500 kg car takes a 50-m-radius unbanked curve...Ch. 8 - A 200 g block on a 50-cm-long string swings in a...Ch. 8 - In the Bohr model of the hydrogen atom, an...Ch. 8 - Suppose the moon were held in its orbit not by...Ch. 8 - 10. A highway curve of radius 500 m is designed...Ch. 8 - It is proposed that future space stations create...Ch. 8 - A 5.0 g coin is placed 15 cm from the center of a...Ch. 8 - Mass m1on the frictionless table of FIGURE EX8.13...Ch. 8 - A satellite orbiting the moon very near the...Ch. 8 - What is free-fall acceleration toward the sun at...Ch. 8 - 16. A 9.4 × 1021 kg moon orbits a distant planet...Ch. 8 - Communications satellites are placed in circular...Ch. 8 - A car drives over the top of a hill that has a...Ch. 8 - The weight of passengers on a roller coaster...Ch. 8 - A roller coaster car crosses the top of a circular...Ch. 8 - The normal force equals the magnitude of the...Ch. 8 - A student has 65-cm-long arms. What is the minimum...Ch. 8 - While at the county fair, you decide to ride the...Ch. 8 - A 500 g ball swings in a vertical circle at the...Ch. 8 - A 500 g ball moves in a vertical circle on a...Ch. 8 - A heavy ball with a weight of 100 N (m = 10.2 kg)...Ch. 8 - A toy train rolls around a horizontal...Ch. 8 - 28. A new car is tested on a 200-m-diameter track....Ch. 8 - An 85,000 kg stunt plane performs a loop-the-loop,...Ch. 8 - Three cars are driving at 25 m/s along the road...Ch. 8 - Derive Equations 8.3 for the acceleration of a...Ch. 8 - 32. A 100 g bead slides along a frictionless wire...Ch. 8 - 33. Space scientists have a large test chamber...Ch. 8 - 34. A 5000 kg interceptor rocket is launched at an...Ch. 8 - Prob. 35EAP Ch. 8 - 36. A rocket- powered hockey puck has a thrust of...Ch. 8 - Prob. 37EAP Ch. 8 - A 2.0 kg projectile with initial velocity m/s...Ch. 8 - A 75 kg man weighs himself at the north pole and...Ch. 8 - A concrete highway curve of radius 70 m banked at...Ch. 8 - a. an object of mass m swings in horizontal circle...Ch. 8 - 42. You’ve taken your neighbor’s young child to...Ch. 8 - A 4.4-cm-diameter, 24 g plastic ball is attached...Ch. 8 - A charged particle of mass m moving with speed v...Ch. 8 - Two wires are tied to the 2.0 kg sphere shown in...Ch. 8 - Two wires are tied to the 300 g sphere shown in...Ch. 8 - A conical pendulum is formed by attaching a ball...Ch. 8 - The 10 mg bead in FIGURE P8.48 is free to slide on...Ch. 8 - In an old-fashioned amusement park ride,...Ch. 8 - The ultracentrifuge is an important tool for...Ch. 8 - In an amusement park ride called The Roundup,...Ch. 8 - 52. Suppose you swing a ball of mass m in a...Ch. 8 - A 30 g ball rolls around a 40-cm-diameter L-shaped...Ch. 8 - FIGURE P8.54 shows a small block of mass m sliding...Ch. 8 - The physics of circular motion sets an upper limit...Ch. 8 - A 100 g ball on a 60-cm-long string is swung in a...Ch. 8 - A 60 g ball is tied to the end of a 50-cm-long...Ch. 8 - Elm Street has a pronounced dip at the bottom of a...Ch. 8 - 59. A 100 g ball on a 60-cm-long string is swung...Ch. 8 - Scientists design a new particle accelerator in...Ch. 8 - 61. A 1500 kg car starts from rest and drives...Ch. 8 - Prob. 62EAP Ch. 8 - 63. A 2.0 kg ball swings in a vertical circle on...Ch. 8 - In Problems 64 and 65 you are given the equation...Ch. 8 - In Problems 64 and 65 you are given the equation...Ch. 8 - Sam (75 kg) takes off up a 50-m-high, 10°...Ch. 8 - In the absence of air resistance, a projectile...Ch. 8 - The father of Example 8.2 stands at the summit of...Ch. 8 - A small bead slides around a horizontal circle at...Ch. 8 - A 500 g steel block rotates on a steel table while...Ch. 8 - If a vertical cylinder of water (or any other...

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.