(a) Explanation Given data: Mass of the child ( m ) is 20 kg. Height of the playground slide is 3.0 m. Speed of the child at the bottom is 2.0 m s . Formula used: Write the expression for kinetic energy. K = 1 2 m v 2 (1) Here, m is the mass of the object, and v is the velocity (speed) of the object. Write the expression for gravitational potential energy. U g = m g y (2) Here, g is the acceleration due to the gravity, which is 9.8 m s 2 , and y is the height. Explanation: The child has gravitational potential energy when she is at the top of the playground slide. The gravitational potential energy is transformed to the kinetic energy and thermal energy during the slide. The transformation of energy is explained with the following calculations. Consider the initial height (at the starting) of the child as 3.0 m, and the final height of the child (at the bottom) as 0 m. Calculation of initial gravitational potential energy: Modify the expression in equation (2) to find the initial gravitational potential energy of the child as follows. ( U g ) i = m g y i Substitute 20 kg for m , 9.8 m s 2 for g , and 3.0 m for y i . ( U g ) i = ( 20 kg ) ( 9.8 m s 2 ) ( 3.0 m ) ≃ 590 kg ⋅ m 2 s 2 ≃ 590 J ( ∵ 1 kg ⋅ m 2 s 2 = 1 J ) Calculation of final gravitational potential energy: Modify the expression in equation (2) to find the final gravitational potential energy of the child as follows. ( U g ) f = m g y f Substitute 20 kg for m , 9.8 m s 2 for g , and 0 m for y f . ( U g ) f = ( 20 kg ) ( 9.8 m s 2 ) ( 0 m ) = 0 kg ⋅ m 2 s 2 = 0 J From the given data, consider the initial velocity of the child at the top of the playground slide as 0 m s (b) To determine To find: The total change in the thermal energy of the slide and the seats of the child’s pants.

College Physics: A Strategic Approach (3rd Edition)

3rd Edition

ISBN: 9780321879721

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

Publisher: PEARSON

See similar textbooks

Concept explainers

Instantaneous Power

Power is defined in physics as the amount of energy transmitted or transformed per unit time. The watt is the unit of electricity in the International System of Units, equivalent to one joule per second.

Question

Chapter 10, Problem 37P

(a)

To determine

To explain: The energy transfer and transformations during the slide.

(b)

To determine

To find: The total change in the thermal energy of the slide and the seats of the child’s pants.

Expert Solution & Answer

Chapter 10 Solutions

College Physics: A Strategic Approach (3rd Edition)

Ch. 10 - A ball of putty is dropped from a height of 2 m...Ch. 10 - A 0.5 kg mass on a 1-m-long string swings in a...Ch. 10 - Particle A has less mass than particle B. Both are...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. 16CQ 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 - Sandy and Chris stand on the edge of a cliff and...Ch. 10 - A solid cylinder and a hollow cylinder have the...Ch. 10 - You are much more likely to be injured if you fall...Ch. 10 - A roller coaster starts from rest at its highest...Ch. 10 - You and a friend each carry a 15 kg suitcase up...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. 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 - A crate slides down a ramp that makes a 20 angle...Ch. 10 - Which has the larger kinetic energy, a 10 g bullet...Ch. 10 - At what speed does a 1000 kg compact car have the...Ch. 10 - Prob. 9P Ch. 10 - The cheetah is the fastest land animal, reaching...Ch. 10 - How fast would an 80 kg man need to run in order...Ch. 10 - Sams job at the amusement park is to slow down and...Ch. 10 - A 20 g plastic ball is moving to the left at 30...Ch. 10 - Prob. 14P 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 - Prob. 17P 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 - The elastic energy stored in your tendons can...Ch. 10 - Marissa drags a 23 kg duffel bag 14 m across the...Ch. 10 - Mark pushes his broken car 150 m down the block to...Ch. 10 - A 900 N crate slides 12m down a ramp that makes an...Ch. 10 - A 25 kg child slides down a playground slide at a...Ch. 10 - A boy reaches out of a window and tosses a ball...Ch. 10 - Prob. 29P Ch. 10 - What minimum speed does a 100 g puck need to make...Ch. 10 - A car is parked at the top of a 50-m-high hill....Ch. 10 - A 1500 kg car is approaching the hill shown in...Ch. 10 - A 10 kg runaway grocery cart runs into a spring,...Ch. 10 - As a 15,000 kg jet lands on an aircraft carrier,...Ch. 10 - Your friend's Frisbee has become stuck 16m above...Ch. 10 - A fireman of mass 80 kg slides down a pole. When...Ch. 10 - Prob. 37P Ch. 10 - Prob. 38P Ch. 10 - In the winter activity of tubing, riders slide...Ch. 10 - A cyclist is coasting at 12 m/s when she starts...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. 43P Ch. 10 - Two balls undergo a perfectly elastic head-on...Ch. 10 - Prob. 45P Ch. 10 - Prob. 46P Ch. 10 - A 1000 kg sports car accelerates from 0 to 30m/sin...Ch. 10 - In just 0.30 s, you compress a spring (spring...Ch. 10 - An elite Tour de France cyclist can maintain an...Ch. 10 - A 710 kg car drives at a constant speed of 23 m/s....Ch. 10 - An elevator weighing 2500 N ascends at a constant...Ch. 10 - How much work does Scott do to push a 80 kg sofa...Ch. 10 - A 550 kg elevator accelerates upward at 1.2 m/s2...Ch. 10 - Prob. 54GP Ch. 10 - Prob. 55GP Ch. 10 - Prob. 56GP Ch. 10 - You are driving your 1500 kg car at 20 m/s down a...Ch. 10 - A 20 kg child is on a swing that hangs from...Ch. 10 - Prob. 59GP Ch. 10 - A cannon tilted up at a 30 angle fires a cannon...Ch. 10 - The sledder shown in Figure P10.61 starts from the...Ch. 10 - A 50 g ice cube can slide without friction up and...Ch. 10 - The maximum energy a bone can absorb without...Ch. 10 - In an amusement park water slide, people slide...Ch. 10 - Boxes A and B in Figure P10.69 have masses of 12.0...Ch. 10 - What would be the speed of the boxes in Problem 69...Ch. 10 - A 20 g ball is fired horizontally with initial...Ch. 10 - Two coupled boxcars are rolling along at 2.5 m/s...Ch. 10 - A fish scale, consisting of a spring with spring...Ch. 10 - A 70 kg human sprinter can accelerate from rest to...Ch. 10 - A 50 g ball of clay traveling at 6.5 m/s hits and...Ch. 10 - Prob. 78GP Ch. 10 - The mass of an elevator and its occupants is 1200...Ch. 10 - Prob. 80GP 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. 84MSPP 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

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.

The energy transfer and transformations during the slide.

Solution Summary: The author explains how the child's gravitational potential energy is transformed to kinetic energy and thermal energy during the slide.

Concept explainers

To explain: The energy transfer and transformations during the slide.

To find: The total change in the thermal energy of the slide and the seats of the child’s pants.

Chapter 10 Solutions