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
Gala2k [10]
3 years ago
8

A 0.20-kg block rests on a frictionless level surface and is attached to a horizontally aligned spring with a spring constant of

40 N/m. The block is initially displaced 4.0 cm from the equilibrium point and then released to set up a simple harmonic motion. What is the speed of the block when it passes through the equilibrium point?
Physics
1 answer:
solmaris [256]3 years ago
6 0

Answer:

0.57 ms^{-1}

Explanation:

k = spring constant of the spring = 40 Nm⁻¹

A = amplitude of the simple harmonic motion = 4 cm = 0.04 m

m = mass of the block attached to spring = 0.20 kg

w = angular frequency of the simple harmonic motion

Angular frequency of the simple harmonic motion is given as w = \sqrt{\frac{k}{m} } \\w = \sqrt{\frac{40}{0.20} }\\w = 14.14 rads^{-1}

v = Speed of the block as it pass the equilibrium point

Speed of the block as it pass the equilibrium point is given as

v = A w\\v = (0.04) (14.14)\\v = 0.57 ms^{-1}

You might be interested in
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A sled and rider wi
Whitepunk [10]

Answer:

uhuuuujujjj

Explanation:

hhhh

6 0
3 years ago
Sarah and Devon are involved in an egg catching contest. They stand a fixed distance apart and toss a raw egg back and forth to
Georgia [21]

Answer:

The correct answer is - B. Increase the time it takes to stop the egg once it hits his hand.

Explanation:

In order to catch the egg the force and time makes an impulse to the egg to change its momentum and bring it to rest. In order to change the momentum, one needs to decrease the force exerted onto the egg and increase the time it takes to make it rest.

Less force can be given to the egg by increasing the time to bring it to rest stop the egg once it hits his hand. Other than this it should be caught to the sides.

6 0
3 years ago
Galileo’s pendulum theory stated that the time taken to swing through one complete cycle of a pendulum depends on what?
Wittaler [7]
It depends on the length of the pendulum and the strength of gravitational pull acting upon the pendulum.

Hope this helps!
3 0
4 years ago
Read 2 more answers
What is the period and frequency of the second hand on a clock?
Allushta [10]

Answer:

Periods are 60 seconds, 60 minutes and 12 hours frequency are their reciprocal.

Explanation:

For second hand, period = 1 min = 3660 s; frequency = 0.0166

For minute hand, period = 1 hr = 3600 s; frequency = 2.77}

For hour hand, period = 12 hrs = 4300 s; frequency = 2.3}

4 0
3 years ago
A train starts from a station with a constant acceleration of at = 0.40 m/s2. A passenger arrives at the track time t = 6.0s aft
jok3333 [9.3K]

Answer:

4.8 m/s  

Explanation:

When she catches the train,

  1. They will have travelled the same distance.and
  2. Their speeds will be equal

The formula for the distance covered by the train  is

d = ½at² = ½ × 0.40t² = 0.20t²

The passenger starts running at a constant speed 6 s later, so her formula is

d = v(t - 6.0)

The passenger and the train will have covered the same distance when she has caught it, so

(1) 0.20t² = v(t - 6.0)

The speed of the train is

v = at = 0.40t

The speed of the passenger is v.

(2) 0.40t = v

Substitute (2) into (1)

0.20t² = 0.40t(t - 6.0) = 0.40t² - 2.4 t

Subtract 0.20t² from each side

0.20t² - 2.4t = 0

Factor the quadratic

t(0.20t - 2.4) = 0

Apply the zero-product rule

t =0     0.20t - 2.4 = 0

                   0.20t = 2.4

(3)                      t = 12

We reject t = 0 s.

Substitute (3) into (2)

0.40 × 12 = v

            v = 4.8 m/s

The slowest constant speed at which she can run and catch the train is 4.8 m/s.

A plot of distance vs time shows that she will catch the train 6 s after starting. Both she and the train will have travelled 28.8 m. Her average speed is 28.8 m/6 s = 4.8 m/s.

7 0
4 years ago
Other questions:
  • An object with a mass of 2.0 kg is accelerated at 5.0 m/s/s. What is the net force that causes this acceleration?
    8·2 answers
  • Why would it require greater force to start a refrigerator moving than to start a dog moving?
    13·1 answer
  • The ozone the unearths surface from the dangerous radiation. This is an interaction between
    7·1 answer
  • The primary neurotransmitter at the neuromuscular junction is
    13·1 answer
  • You need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads 28.4 NN . If you t
    10·1 answer
  • A ray of light passes from one material into a material with a higher index of refraction. Determine whether each of the followi
    13·1 answer
  • The nuclei of all atoms have
    12·1 answer
  • Each of the diagrams below represents one of the three states of matter.
    13·1 answer
  • What impulse occurs when a cart that is originally at rest experiences an average force of
    8·1 answer
  • Given a force of 88N and an acceleration of 4 m/s 2, what is the mass?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!