Explanation Given data: Monica pulls her daughter Jessie in a bike trailer. Monica starts ups a 100 m long slope. Mass of the trailer and Jessie ( m ) is 25 kg. Distance of the slope ( d ) is 100 m. Height of the slope (height when the Monica reaches to the top) ( y f ) is 4.0 m. The constant force used by Monica to pull the bike trailer ( F ) is 8.0 N. Speed of the Monica along with the bike trailer and Jessie at the bottom of the slope ( v i ) is 5.3 m s . The initial height (at the bottom of the slope) ( y i ) is 0 m. Formula used: Write the expression for conservation of energy for the given system as follows. K i + ( U g ) i = K f + ( U g ) f + W (1) Here, K i is the initial kinetic energy (at the bottom of the slope), ( U g ) i is the initial gravitational potential energy, K f is the final kinetic energy (at the top of the slope), ( U g ) f is the final gravitational potential energy, and W is the work done by the Monica. Write the expression for kinetic energy. K = 1 2 m v 2 (2) Here, m is the mass of the trailer and Jessie, and v is the velocity (speed) of the Monica along with the bike trailer and Jessie. Write the expression for gravitational potential energy. U g = m g y (3) Here, g is the acceleration due to the gravity, which is 9.8 m s 2 , and y is the height of the slope. Write the expression for work done by the Monica as follows. W = F d (4) Here, F is the force used by Monica to pull the bike trailer, and d is the distance of the slope. Explanation: Consider the no frictional force in the given system. Therefore, the thermal energy in the system is zero. Calculation of initial kinetic energy at the bottom of the slope ( K i ) : Modify the expression in equation (2) for the initial kinetic energy at the bottom of the slope as follows. K i = 1 2 m ( v i ) 2 Substitute 25 kg for m , and 5.3 m s for v i , K i = 1 2 ( 25 kg ) ( 5.3 m s ) 2 = 1 2 ( 25 kg ) ( 28.09 m 2 s 2 ) = 351.125 kg ⋅ m 2 s 2 = 351.125 J { ∵ 1 kg ⋅ m 2 s 2 = 1 J } Calculation of final kinetic energy at the top of the slope ( K f ) : Modify the expression in equation (2) to find the final kinetic energy at the top of the slope as follows. K f = 1 2 m ( v f ) 2 Substitute 25 kg for m , K f = 1 2 ( 25 kg ) ( v f ) 2 = 12.5 ( v f ) 2 kg Calculation of initial gravitational potential energy: Modify the expression in equation (3) to find the initial gravitational potential energy as follows. ( U g ) i = m g y i Substitute 25 kg for m , 9

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134609034

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

See similar textbooks

Question

Chapter 10, Problem 44P

To determine

To find: The speed of the Monica along with the bike trailer and Jessie at the top of the slope.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10, Problem 43P

Chapter 10, Problem 45P

Students have asked these similar questions

Two lenses are separated by 20cm distance each one has focal length |f|=10. Draw the ray diagram and find the finalimage distance if the object is 40cm away from the lens 1 with s1=40cm for the following casesa)First lense is covex the second one is convexb) First one is convex the second one is concave

1) A light source is emitting light with 800nm wavelength in a double slit experiment. The separation between the slits is0.01 m and the screen is 5 meters away.a) Find the angle for the fifth and the sixth constructive interferencesb) Find the distance between the third constructive and the third destructive interferences on the screen

A light is passing through a small circular hole with radius 0.002 meters. The third destructive resonance is attheta=0.004 radians. Find the wavelength of the light. Find the angle for the third constructive resonance.

Chapter 10 Solutions

College Physics: A Strategic Approach (4th Edition)

Ch. 10 - Puck B has twice the mass of puck A. Starting from...Ch. 10 - To change a tire, you need to use a jack to raise...Ch. 10 - Prob. 15CQ Ch. 10 - A roller coaster car rolls down a frictionless...Ch. 10 - A spring gun shoots out a plastic ball at speed v....Ch. 10 - Prob. 19CQ Ch. 10 - Sandy and Chris stand on the edge of a cliff and...Ch. 10 - Prob. 21CQ Ch. 10 - Prob. 24CQ Ch. 10 - A roller coaster starts from rest at its highest...Ch. 10 - A woman uses a pulley and a rope to raise a 20 kg...Ch. 10 - A hockey puck sliding along frictionless ice with...Ch. 10 - A block slides down a smooth ramp, starting from...Ch. 10 - A wrecking ball is suspended from a 5.0-m-long...Ch. 10 - Prob. 30MCQ Ch. 10 - Prob. 31MCQ Ch. 10 - Prob. 1P Ch. 10 - The two ropes seen in Figure P10.2 are used to...Ch. 10 - The two ropes shown in the bird's-eye view of...Ch. 10 - Prob. 4P Ch. 10 - A boy flies a kite with the string at a 30 angle...Ch. 10 - Prob. 6P Ch. 10 - A crate slides down a ramp that makes a 20 angle...Ch. 10 - Prob. 8P Ch. 10 - At what speed does a 1000 kg compact car have the...Ch. 10 - Prob. 10P Ch. 10 - Prob. 11P Ch. 10 - Prob. 12P Ch. 10 - How fast would an 80 kg man need to run in order...Ch. 10 - Prob. 14P Ch. 10 - Sams job at the amusement park is to slow down and...Ch. 10 - Prob. 16P Ch. 10 - Prob. 17P Ch. 10 - Prob. 18P Ch. 10 - An energy storage system based on a flywheel (a...Ch. 10 - The lowest point in death Valley is 85.0 m below...Ch. 10 - The world's fastest humans can reach speeds of...Ch. 10 - A 72 kg bike racer climbs a 1200-m-long section of...Ch. 10 - A 1000 kg wrecking ball hangs from a 15-m-long...Ch. 10 - How far must you stretch a spring with k = 1000...Ch. 10 - How much energy can be stored in a spring with a...Ch. 10 - Prob. 26P Ch. 10 - The elastic energy stored in your tendons can...Ch. 10 - Prob. 28P Ch. 10 - Mark pushes his broken car 150 m down the block to...Ch. 10 - Prob. 30P Ch. 10 - A 900 N crate slides 12m down a ramp that makes an...Ch. 10 - Prob. 32P Ch. 10 - A 25 kg child slides down a playground slide at a...Ch. 10 - Prob. 34P Ch. 10 - A boy reaches out of a window and tosses a ball...Ch. 10 - Prob. 36P Ch. 10 - What minimum speed does a 100 g puck need to make...Ch. 10 - Prob. 38P Ch. 10 - Prob. 39P Ch. 10 - Prob. 40P Ch. 10 - A fireman of mass 80 kg slides down a pole. When...Ch. 10 - Prob. 42P Ch. 10 - Prob. 43P Ch. 10 - Prob. 44P Ch. 10 - In the winter activity of tubing, riders slide...Ch. 10 - Prob. 46P Ch. 10 - A cyclist is coasting at 12 m/s when she starts...Ch. 10 - Prob. 48P Ch. 10 - Prob. 49P Ch. 10 - Prob. 51P Ch. 10 - Prob. 52P Ch. 10 - Prob. 53P Ch. 10 - Prob. 54P Ch. 10 - A 50 g marble moving at 2.0 m/s strikes a 20 g...Ch. 10 - Ball 1, with a mass of 100 g and traveling at 10...Ch. 10 - Prob. 57P Ch. 10 - Two balls undergo a perfectly elastic head-on...Ch. 10 - Prob. 59P Ch. 10 - Prob. 61P Ch. 10 - Prob. 62P Ch. 10 - A 1000 kg sports car accelerates from 0 to 30m/sin...Ch. 10 - Prob. 64P Ch. 10 - An elite Tour de France cyclist can maintain an...Ch. 10 - Prob. 66P Ch. 10 - A 710 kg car drives at a constant speed of 23 m/s....Ch. 10 - Prob. 68P Ch. 10 - An elevator weighing 2500 N ascends at a constant...Ch. 10 - Prob. 70P Ch. 10 - A 550 kg elevator accelerates upward at 1.2 m/s2...Ch. 10 - Prob. 73GP Ch. 10 - Prob. 74GP Ch. 10 - Prob. 75GP Ch. 10 - You are driving your 1500 kg car at 20 m/s down a...Ch. 10 - Prob. 77GP Ch. 10 - Prob. 78GP Ch. 10 - Prob. 79GP Ch. 10 - Prob. 80GP Ch. 10 - The maximum energy a bone can absorb without...Ch. 10 - In an amusement park water slide, people slide...Ch. 10 - Prob. 83GP Ch. 10 - Prob. 84GP Ch. 10 - Two coupled boxcars are rolling along at 2.5 m/s...Ch. 10 - A 50 g ball of clay traveling at 6.5 m/s hits and...Ch. 10 - Prob. 87GP Ch. 10 - Prob. 88GP Ch. 10 - The mass of an elevator and its occupants is 1200...Ch. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Prob. 93MSPP Ch. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...

Knowledge Booster