Explanation 1) Concept: We use concept of work done and power for a given time interval. We find distance d by calculating the difference between the given vectors, and then we can find the work done. Using the work done found in part (a), we can find the power for the given time interval. We can use the dot product of vectors to find the angle between them. 2) Formulae: i) W = F d ii) P = W t iii) r 1 → . r 2 → = r 1 r 2 c o s θ 3) Given: i) Force is F → = ( 2.00 i ^ + 9.00 j ^ + 5.30 k ^ ) . ii) Initial position is r 1 → = ( 2.70 i ^ - 2.90 j ^ + 5.50 k ^ ) . iii) Final position is r 2 → = ( - 4.10 i ^ + 3.30 j ^ + 5.40 k ^ ). iv) Mass is m = 2.90 k g . v) Time is t = 2.10 s . 4) Calculations: a) Work done on the object by the force: First, we find the distance d from the difference between the given vectors. d = r 2 → - r 1 → d = - 4.10 i ^ + 3.30 j ^ + 5.40 k ^ - ( 2.70 i ^ - 2.90 j ^ + 5.50 k ^ ) d = - 6.80 i ^ + 6.20 j ^ - 0.10 k ^ Now we can find the work done. W = F d W = 2.00 i ^ + 9.00 j ^ + 5.30 k ^

11th Edition

ISBN: 9781119306856

Author: Halliday

Publisher: WILEY

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Question

Chapter 7, Problem 84P

To determine

To find:

a) Work done on the object by the force.

b) The average power due to the force in the given time interval.

c) The angle between the vectors r1→ and r2→.

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Chapter 7, Problem 83P

Chapter 7, Problem 85P

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Chapter 7 Solutions

Fundamentals Of Physics - Volume 1 Only

Ch. 7 - Rank the following velocities according to the...Ch. 7 - Figure 7-16a shows two horizontal forces that act...Ch. 7 - Is positive or negative work done by a constant...Ch. 7 - In three situations, a briefly applied horizontal...Ch. 7 - The graphs in Fig. 7-18 give the x component Fx of...Ch. 7 - Figure 7-19 gives the x component Fx of a force...Ch. 7 - In Fig. 7-20, a greased pig has a choice of three...Ch. 7 - Figure 7-21a shows four situations in which a...Ch. 7 - Spring A is stiffer than spring B kA kB. The...Ch. 7 - A glob of slime is launched or dropped from the...

Ch. 7 - In three situations, a single force acts on a...Ch. 7 - Figure 7-23 shows three arrangements of a block...Ch. 7 - SSM A proton mass m = 1.67 1027 kg is being...Ch. 7 - If a Saturn V rocket with an Apollo spacecraft...Ch. 7 - On August 10, 1972, a large meteorite skipped...Ch. 7 - An explosion at ground level leaves a crater with...Ch. 7 - A father racing his son has half the kinetic...Ch. 7 - A bead with mass 1.8 10-2 kg is moving along a...Ch. 7 - A 3.0 kg body is at rest on a frictionless...Ch. 7 - Prob. 8P Ch. 7 - The only force acting on a 2.0 kg canister that is...Ch. 7 - A coin slides over a frictionless plane and across...Ch. 7 - A 12.0 N force with a fixed orientation does work...Ch. 7 - A can of bolts and nuts is pushed 2.00 m along an...Ch. 7 - A luge and its rider, with a total mass of 85 kg,...Ch. 7 - 14 GO Figure 7-27 shows an overhead view of three...Ch. 7 - GO Figure 7-28 shows three forces applied to a...Ch. 7 - GO An 8.0 kg object is moving in the positive...Ch. 7 - SSM WWW A helicopter lifts a 72 kg astronaut 15 m...Ch. 7 - a In 1975 the roof of Montreals Velodrome, witha...Ch. 7 - GO In Fig. 7-30, a block of ice slides down a...Ch. 7 - A block is sent up a frictionless ramp along which...Ch. 7 - 21 SSM A cord is used to vertically lower an...Ch. 7 - A cave rescue team lifts an injured spelunker...Ch. 7 - In Fig. 7-32, a constant force Fa of magnitude...Ch. 7 - GO In Fig. 7-33, a horizontal force Fa of...Ch. 7 - GO In Fig. 7-34, a 0.250 kg block of cheese lies...Ch. 7 - In Fig. 7-10, we must apply a force of magnitude...Ch. 7 - A spring and block are in the arrangement of Fig....Ch. 7 - During spring semester at MIT, residents of the...Ch. 7 - In the arrangement of Fig. 7-10, we gradually pull...Ch. 7 - In Fig. 7-10a, a block of mass m lies on a...Ch. 7 - SSM WWW The only force acting on a 2.0 kg body as...Ch. 7 - Figure 7-37 gives spring force Fx versus position...Ch. 7 - GO The block in Fig. 7-10a lies on a horizontal...Ch. 7 - ILW A 10 kg brick moves along an xaxis. Its...Ch. 7 - SSM WWW The force on a particle is directed along...Ch. 7 - GO A 5.0 kg block moves in a straight line on a...Ch. 7 - GO Figure 7-40 gives the acceleration of a 2.00 kg...Ch. 7 - A 1.5 kg block is initially at rest on a...Ch. 7 - GO A force F= cx3.00x2iacts on a particle as the...Ch. 7 - A can of sardines is made to move along an xaxis...Ch. 7 - A single force acts on a 3.0 kg particle-like...Ch. 7 - GO Figure 7-41 shows a cord attached to a cart...Ch. 7 - SSM A force of 5.0 N acts on a 15 kg body...Ch. 7 - A skier is pulled by a towrope up a frictionless...Ch. 7 - SSM ILW A 100 kg block is pulled at a constant...Ch. 7 - The loaded cab of an elevator has a mass of 3.0 ...Ch. 7 - A machine carries a 4.0 kg package from an initial...Ch. 7 - A 0.30 kg ladle sliding on a horizontal...Ch. 7 - Prob. 49P Ch. 7 - a At a certain instant, a particle-like object is...Ch. 7 - A force F= 3.00 N i 7.00 N j 7.00 N k acts on...Ch. 7 - A funny car accelerates from rest through a...Ch. 7 - Figure 7-42 shows a cold package of hot dogs...Ch. 7 - GO The only force acting on a 2.0 kg body as the...Ch. 7 - SSM A horse pulls a cart with a force of 40 lb at...Ch. 7 - An initially stationary 2.0 kg object accelerates...Ch. 7 - A 230 kg crate hangs from the end of a rope of...Ch. 7 - To pull a 50 kg crate across a horizontal...Ch. 7 - A force Fa is applied to a bead as the bead is...Ch. 7 - A frightened child is restrained by her mother as...Ch. 7 - How much work is done by a force F= 2x N i 3 N j,...Ch. 7 - A 250 g block is dropped onto a relaxed vertical...Ch. 7 - 63 SSM To push a 25.0 kg crate up a frictionless...Ch. 7 - Boxes are transported from one location to another...Ch. 7 - In Fig. 7-47, a cord runs around two massless,...Ch. 7 - If a car of mass 1200 kg is moving along a highway...Ch. 7 - SSM A spring with a pointer attached is hanging...Ch. 7 - An iceboat is at rest on a frictionless frozen...Ch. 7 - If a ski lift raises 100 passengers averaging 660...Ch. 7 - A force F= 4.0 N i cj acts on a particle as the...Ch. 7 - A constant force of magnitude 10 N makes an angle...Ch. 7 - In Fig. 7-49a, a 2.0 N force is applied to a 4.0...Ch. 7 - A force F in the positive direction of an x axis...Ch. 7 - A particle moves along a straight path through...Ch. 7 - SSM What is the power of the force required to...Ch. 7 - A 45 kg block of ice slides down a frictionless...Ch. 7 - As a particle moves along an x axis, a force in...Ch. 7 - A CD case slides along a floor in the positive...Ch. 7 - SSM A 2.0 kg lunchbox is sent sliding over a...Ch. 7 - Numerical integration. A breadbox is made to move...Ch. 7 - In the block-spring arrangement of Fig. 7-10, the...Ch. 7 - A 4.00 kg block is pulled up a frictionless...Ch. 7 - A spring with a spring constant of 18.0 N/cm has a...Ch. 7 - Prob. 84P Ch. 7 - At t = 0, force F= 5.00 i 5.00 j 4.00 k N begins...

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a) Work done on the object by the force. b) The average power due to the force in the given time interval. c) The angle between the vectors r 1 → a n d r 2 → .

To find: a) Work done on the object by the force. b) The average power due to the force in the given time interval. c) The angle between the vectors r1→ and r2→.

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Chapter 7 Solutions

To find:

a) Work done on the object by the force.

b) The average power due to the force in the given time interval.

c) The angle between the vectors r1→ and r2→.