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
Alja [10]
3 years ago
15

A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring 17 feet. The ball is started in moti

on from the equilibrium position with a downward velocity of 4 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second) . Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note that the positive direction is down.) Take as the gravitational acceleration 32 feet per second per second.
Physics
2 answers:
valkas [14]3 years ago
7 0

Answer:

  • y = (0 - 4 * sqrt(6)/48)  * exp ((-16 -4 * sqrt(6) )*t + (0 + 4 * sqrt (6) /48) * exp ((-16 + 4 * sqrt (6)) * t)

Explanation:

  • Assume that the gravitational acceleration is 32 feet per second square.
  • y = (0 - 4 * sqrt(6)/48)  * exp ((-16 -4 * sqrt(6) )*t + (0 + 4 * sqrt (6) /48) * exp ((-16 + 4 * sqrt (6)) * t)
Romashka-Z-Leto [24]3 years ago
5 0

twelve because it is the answer

You might be interested in
You have a two-wheel trailer that you pull behind your ATV. Two children with a combined mass of 77.2 kg hop on board for a ride
lions [1.4K]

To solve this problem it is necessary to apply the kinematic equations of motion and Hook's law.

By Hook's law we know that force is defined as,

F= kx

Where,

k = spring constant

x = Displacement change

PART A) For the case of the spring constant we can use the above equation and clear k so that

k= \frac{F}{x}

k = \frac{mg}{x}

k= \frac{77.2*9.8}{0.0637}

k = 11876.92N/m

Therefore the spring constant for each one is 11876.92/2 = 5933.46N/m

PART B) In the case of speed we can obtain it through the period, which is given by

T = \frac{2\pi}{\omega}

Re-arrange to find \omega,

\omega = \frac{2\pi}{T}

\omega = \frac{2\pi}{2.14}

\omega = 2.93rad/s

Then through angular kinematic equations where angular velocity is given as a function of mass and spring constant we have to

\omega^2 = \frac{k}{m}

m = \frac{k}{\omega^2}

m = \frac{ 11876.92}{2.93}

m = 4093.55Kg

Therefore the mass of the trailer is 4093.55Kg

PART C) The frequency by definition is inversely to the period therefore

f = \frac{1}{T}

f = \frac{1}{2.14}

f = 0.4672 Hz

Therefore the frequency of the oscillation is 0.4672 Hz

PART D) The time it takes to make the route 10 times would be 10 times the period, that is

t_T = 10*T

t_T = 10 *2.14s

t_T = 21.4s

Therefore the total time it takes for the trailer to bounce up and down 10 times is 21.4s

5 0
3 years ago
2..Read the following statements carefully and choose the correct option
Softa [21]

Answer:

statement 1 is correct

2 not sure

Explanation:

6 0
2 years ago
PLEASE HELP ME I AM TIMED!
cupoosta [38]
I believe the answer is D
3 0
2 years ago
5p - 14 = 8 p + 4 find p
Digiron [165]

Answer:

Explanation:

5p - 14 = 8p + 4

5p = 8p + 18 <-- Moving constants to one side; add the same number of +14 to both sides.

-3p = 18. <-- The same thing with the variable itself.

p = -6 <-- Divide both sides by negative 3.

6 0
3 years ago
What are three (3) things you can do before exercise or sports that will keep you safe?
zaharov [31]

Answer: Drink water, practice, do some light stretches

Explanation:

3 0
3 years ago
Other questions:
  • A boy throws a steel ball straight up. consider the motion of the ball only after it has left the boy's hand but before it touch
    11·2 answers
  • which part of a circuit creates an electric force field that makes it possible for the circuit to work
    12·1 answer
  • A golfer on a level fairway hits a ball at an angle of 21° to the horizontal that travels 99 yd before striking the ground. He t
    7·1 answer
  • Jacques is trying to put a screw into a hard piece of wood, but it is too difficult for him to turn. Which of the following woul
    8·1 answer
  • Which statement is true for electric field lines?
    12·2 answers
  • What force stops a car from sinking into the road surface?
    5·2 answers
  • WILL GIVE BRAINLIEST!
    5·2 answers
  • A 2.0kg mass is intally moving at a speed of 10m/s due north, when a constant
    15·1 answer
  • In flight, a rocket is subjected to four forces; weight, thrust, lift, and drag. Forces are vector quantities that have both a m
    6·2 answers
  • After turning on the power source connected to your two electrodes, we expect to see the microbeads moving through the solution.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!