1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
STatiana [176]
3 years ago
14

The suspension system of a 2100 kg automobile "sags" 8.5 cm when the chassis is placed on it. Also, the oscillation amplitude de

creases by 63% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 525 kg.
Physics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

Part a)

k = 6.06 \times 10^4 N/m

Part b)

b = 1795.4 kg/s

Explanation:

Part a)

as the mass of the suspension system is given as

m = 2100 kg

also we have

x = 8.5 cm

so now for force balance we have

mg = kx

(525)(9.81) = k(0.085)

k = 6.06 \times 10^4 N/m

Part b)

Now we know that amplitude decreases by 63% in each cycle

so after one cycle the amplitude will become 37% of initial amplitude

so it is given as

A = 0.37 A_o

also we know

A = A_o e^{-bt/2m}

0.37 A_o = A_o e^{-bt/2m}

\frac{bt}{2m} = 1

b = \frac{2m}{t}

here t = time period of one oscillation

so it is

t = 2\pi\sqrt{\frac{m}{k}}

t = 2\pi\sqrt{\frac{525}{6.06 \times 10^4}}

t = 0.58 s

now damping constant is

b = \frac{2(525)}{0.58}

b = 1795.4 kg/s

You might be interested in
What can parents do if they find a mistake in the student records?      A. They can’t do anything B. Make a correction themselve
Lelechka [254]
D. Ask the school to make the correction
5 0
3 years ago
Read 2 more answers
Frequencies of sound waves higher than those we can hear is called?
ludmilkaskok [199]

Answer:

utrasonic

Explanation:

these are sounds beyond our hearing capacity range of 20-20kHz

8 0
3 years ago
Read 2 more answers
Monochromatic light of wavelength 687 nm is incident on a narrow slit. On a screen 1.65 m away, the distance between the second
Sophie [7]

Answer:

a ) 1.267 radian

b ) 1.084 10⁻³ mm

Explanation:

Distance of screen D = 1.65 m

Width of slit d = ?

Wave length of light   λ  = 687 nm.

Distance of second minimum fro centre y = 2.09 cm

Angle of diffraction = y / D

=  2.09 /1.65  

= 1.267. radian

Angle of diffraction of second minimum

= 2 λ / d

so 2 λ / d = 1.267

d = 2 λ / 1.267 = (2 x 687 ) /1.267 nm

=1084.45 nm = 1.084 x 10⁻³ mm.

3 0
3 years ago
he Constitution made no mention of how many justices should sit on the Supreme Court. Which statement regarding how the number o
iris [78.8K]

Answer: True.

Explanation:

The US constitution has involved details related to the Supreme Court; in fact, the US constitution created this institution. However, the structure does not specify how many judges will sit in the supreme court. Those details were left to the US Congress. In 1807, Congress increased the number of judges to seven; In 1837 the number increased to nine, and in 1863 it rose to 10.

8 0
3 years ago
A magnet is moved in and out of a coil of wire connected to a high-resistance voltmeter. If the number of coils doubles, the ind
Varvara68 [4.7K]

Answer:

A. Doubles.

Explanation:

In an electromagnetic device such as a generator, when a wire (conductor) moves through the magnetic field between the South and North poles of a magnet, an electromotive force (e.m.f) is usually induced across a wire

The mode of operation of a generator is that a metal core with copper tightly wound to it (conductor coil) rotates rapidly between the two (2) poles of a horseshoe magnet type. Thus when the conductor coil rotates rapidly, it cuts the magnetic field existing between the poles of the horseshoe magnet and then induces the flow of current.

When a high-resistance voltmeter is connected to an electric circuit, a deflection will arise due to the flow of electricity. Moving the magnet towards the coil of wire will cause the needle of the high-resistance voltmeter to move in one direction. Also, as the magnet is moved out from the coil of wire, the needle of the high-resistance voltmeter moves in the opposite direction.

In this scenario, a magnet is moved in and out of a coil of wire connected to a high-resistance voltmeter. If the number of coils doubles, the induced voltage doubles because the number of turns (voltage) in the primary winding is directly proportional to the number of turns (voltage) in the secondary winding.

4 0
3 years ago
Other questions:
  • Behavior that benefits others is called behavior
    5·1 answer
  • R: Law of Conservation of Energy Pre-Write
    12·1 answer
  • Which statement is true:
    11·1 answer
  • Stars originate as large bodies of slowly rotating gas.Because of gravity, these clumps of gas slowly decrease in size.The angul
    6·1 answer
  • A car accelerates from rest at 5.75m/s2 for 4.4 sec when it runs out of pavement and runs into some mud. In the mud it accelerat
    6·1 answer
  • Pluto has a shape that is nearly round,and it orbits the sun,it has five known moons.why is it called a dwarf planet and not a p
    10·1 answer
  • An object is traveling at a velocity of 100 rn/s to the left for about 5 seconds. How far has the object traveled? (What is the
    8·1 answer
  • A wooden block is let go from a height of 5.80 m. What is the velocity of the block just before it hits the ground?
    10·1 answer
  • Help please help me?
    15·1 answer
  • Converting 67 m•s¹ to km•h¹​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!