3) The variation of a force with position is shown in the figure below. Find the work from (a) x = 0 to x = -A (b) x = +A to x = 0 %3D F, -A A

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Chapter1: Units, Trigonometry. And Vectors
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1) A 1.50-kg block is moved at constant speed in a vertical plane from position 1 to position 3 via several
routes shown in the figure. Compute the work done by gravity on the block for each segment indicated,
where Wab means work done from a to b. (a) W13, (b) W, 2 + W23 (c) W14 + W43, (d) W,4 + W45 + Wg
3 m
3 m
2 m
1
2
2) What is the work needed to lift 14.7 kg of water from a well 11.0 m deep. Assume the water has a constant
upward acceleration of 0.700 m/s?.
3) The variation of a force with position is shown in the figure below. Find the work from (a) x = 0 to x =
-A (b) x = +A to x = 0
F.
FoF
4) Whe wo 85-kg persons sit in a 1000-kg car, it is lowered by 2 cm. Estimate the spring constant of the
suspen. n. What simplifying assumptions do you need to make?
5) A spring gun with k= 90.0 N/m is compressed by 5 cm. What is the exit speed of a 2.10-g projectile?
6) (a) The United States, with a population of 2.2×10 people, consumes 5×10 1ºJ per year. What is the per
capita consumption in watts? (b) The sun's radiation provides the earth with 1000 W/m². Assuming solar
energy can be converted to electrical energy with a 20% efficiency, how much area is needed to serve the
energy needs of each U.S. citizen?
7) A 0.595-kg object is released from a height of 3.60 m and lands on the ground. Find: (a) the work done by
gravity; (b) the change in kinetic energy of the ball; (c) the speed just before it lands using energy methods.
Ignore air resistance.
Transcribed Image Text:1) A 1.50-kg block is moved at constant speed in a vertical plane from position 1 to position 3 via several routes shown in the figure. Compute the work done by gravity on the block for each segment indicated, where Wab means work done from a to b. (a) W13, (b) W, 2 + W23 (c) W14 + W43, (d) W,4 + W45 + Wg 3 m 3 m 2 m 1 2 2) What is the work needed to lift 14.7 kg of water from a well 11.0 m deep. Assume the water has a constant upward acceleration of 0.700 m/s?. 3) The variation of a force with position is shown in the figure below. Find the work from (a) x = 0 to x = -A (b) x = +A to x = 0 F. FoF 4) Whe wo 85-kg persons sit in a 1000-kg car, it is lowered by 2 cm. Estimate the spring constant of the suspen. n. What simplifying assumptions do you need to make? 5) A spring gun with k= 90.0 N/m is compressed by 5 cm. What is the exit speed of a 2.10-g projectile? 6) (a) The United States, with a population of 2.2×10 people, consumes 5×10 1ºJ per year. What is the per capita consumption in watts? (b) The sun's radiation provides the earth with 1000 W/m². Assuming solar energy can be converted to electrical energy with a 20% efficiency, how much area is needed to serve the energy needs of each U.S. citizen? 7) A 0.595-kg object is released from a height of 3.60 m and lands on the ground. Find: (a) the work done by gravity; (b) the change in kinetic energy of the ball; (c) the speed just before it lands using energy methods. Ignore air resistance.
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