Nerve Impulse Propagation The speed with which nerve impulses travel is determined in large part by the characteristic time constant T = RC of the circuit formed by the resistivity of the axon and the capacitance of its wall. The resistance of a 1.00-mm-long segment of an axon is 25.5 MΩ. (a) For nerve axons with no protective myelin sheath, the wall capacitance is about 3.14 × 10 -10 F for each segment of length L = 1.00 mm. Find the speed of the nerve impulses given by v = L /T. (b) Many axons are surrounded by a myelin sheath that decreases the wall capacitance to 1.57 × 10 -12 F. What is the speed of nerve impulses along such myelinated axons?
Nerve Impulse Propagation The speed with which nerve impulses travel is determined in large part by the characteristic time constant T = RC of the circuit formed by the resistivity of the axon and the capacitance of its wall. The resistance of a 1.00-mm-long segment of an axon is 25.5 MΩ. (a) For nerve axons with no protective myelin sheath, the wall capacitance is about 3.14 × 10 -10 F for each segment of length L = 1.00 mm. Find the speed of the nerve impulses given by v = L /T. (b) Many axons are surrounded by a myelin sheath that decreases the wall capacitance to 1.57 × 10 -12 F. What is the speed of nerve impulses along such myelinated axons?
Nerve Impulse Propagation The speed with which nerve impulses travel is determined in large part by the characteristic time constant T = RC of the circuit formed by the resistivity of the axon and the capacitance of its wall. The resistance of a 1.00-mm-long segment of an axon is 25.5 MΩ. (a) For nerve axons with no protective myelin sheath, the wall capacitance is about 3.14 × 10-10F for each segment of length L = 1.00 mm. Find the speed of the nerve impulses given by v = L/T. (b) Many axons are surrounded by a myelin sheath that decreases the wall capacitance to 1.57 × 10-12 F. What is the speed of nerve impulses along such myelinated axons?
3.31 A Ferris wheel with radius Figure E3.31
14.0 m is turning about a horizontal
axis through its center (Fig. E3.31).
The linear speed of a passenger on the
rim is constant and equal to 6.00 m/s.
What are the magnitude and direction
of the passenger's acceleration as she
passes through (a) the lowest point in
her circular motion and (b) the high-
est point in her circular motion? (c)
How much time does it take the Ferris
wheel to make one revolution?
1.56 ⚫. Three horizontal ropes pull on a large stone stuck in the
ground, producing the vector forces A, B, and C shown in Fig. P1.56.
Find the magnitude and direction of a fourth force on the stone that will
make the vector sum of the four forces zero.
Figure P1.56
B(80.0 N)
30.0
A (100.0 N)
53.0°
C (40.0 N)
30.0°
1.39 Given two vectors A = -2.00 +3.00 +4.00 and
B=3.00 +1.00 -3.00k. (a) find the magnitude of each vector;
(b) use unit vectors to write an expression for the vector difference
A - B; and (c) find the magnitude of the vector difference A - B. Is
this the same as the magnitude of B - Ä? Explain.
Chapter 21 Solutions
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