A circular swimming pool has a diameter of 10 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m and the density of water is 1000 kg -)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter1: Vectors
Section1.4: Applications
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A circular swimming pool has a diameter of 10 m, the sides are 4 m high,
and the depth of the water is 3 m. How much work (in Joules) is required to
pump all of the water over the side? (The acceleration due to gravity is 9.8
т
and the density of water is 1000
kg
82
m3
Transcribed Image Text:A circular swimming pool has a diameter of 10 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 т and the density of water is 1000 kg 82 m3
3. Compare the kinetic energy of a 20,000 kg truck moving at 103 km/h with that of
an 75.0 kg astronaut in orbit moving at 27,500 km/h.
4. Answer the following.
a. Calculate the force needed to bring a 920 kg car to rest from a speed of
95.0 km/h in a distance of 120 m (a fairly typical distance for a non-panic
stop).
b. Suppose instead the car hits a concrete abutment at full speed and is
brought to a stop in 2.20 m. Calculate the force exerted on the car and
compare it with the force found in part a.
Transcribed Image Text:3. Compare the kinetic energy of a 20,000 kg truck moving at 103 km/h with that of an 75.0 kg astronaut in orbit moving at 27,500 km/h. 4. Answer the following. a. Calculate the force needed to bring a 920 kg car to rest from a speed of 95.0 km/h in a distance of 120 m (a fairly typical distance for a non-panic stop). b. Suppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.20 m. Calculate the force exerted on the car and compare it with the force found in part a.
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