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
Alexus [3.1K]
3 years ago
5

An entertainer juggles balls while doing other activities. In one act, she throws a ball vertically upward, and while it is in t

he air, she runs to and from a table 5.50 m away at an average speed of 3.00 m/s, returning just in time to catch the falling ball. (a) With what minimum initial speed must she throw the ball upward to accomplish this feat? (b) How high above its initial position is the ball just as she reaches the table?
Physics
1 answer:
sp2606 [1]3 years ago
3 0

Answer:

a) 17.97 m/s

b) 16.5 m

Explanation:

The total distance that she runs is twice the distance between her and the table, which is 5.5 * 2 = 11m

So the time she would need to run that distance at a rate of 3m/s is

t = 11/3 = 3.67s

This is also the time it takes for the ball to be thrown up and down, which is twice the time it needs to reach the top, its maximum height at v = 0 m/s

So the time for the ball to reach maximum height is 3.67 / 2 = 1.83 s

Let g = 9.8m/s2. For the ball to get to 0 within 1.83s at the deceleration of 9.8m/s. Its initial speed must be

v = gt = 9.8*1.83 = 17.97 m/s

As she reaches the table within half of the total time (3.67 /2 = 1.83s), the position of the ball would be

h = vt + gt^2/2 = 17.97*1.83 - 9.8*1.83^2/2 = 16.5 m

You might be interested in
Which are examples of a medium? water and air amplitude and wavelength crests and troughs compressions and rarefactions
umka21 [38]

Answer:

water and air

Explanation:

  • A wave is a transmission of a disturbance from one point or the source to another  point.
  • Transmission of a wave occurs through a material medium or a vacuum. Therefore a medium is the material through which a wave travels through.
  • The medium may be in gaseous form, slid form or liquid form. Therefore water and air are example of medium of transmission of a wave.
6 0
2 years ago
Read 2 more answers
Which band of the electromagnetic spectrum has the lowest frequency
Murrr4er [49]

Answer:

Radio waves

Explanation:

Electromagnetic waves are produced by the oscillations of electric and magnetic field. They are transverse waves, which means that the oscillations occur in a direction perpendicular to the direction of propagation of the wave, and they are the only type of waves that can travel through a vacuum.

Electromagnetic waves are classified into 7 different types, depending on their frequencies. From lowest to highest frequencies, we have:

Radio waves

Microwaves

Infrared

Visible light

Ultraviolet

X-rays

Gamma rays

Radio waves are the electromagnetic waves with lowest frequency. They are used, for examples, for satellites, telecommunication, broadcasting.

5 0
3 years ago
A train travels 225 km in 2.5 hours. What is the trains average speed
Natalka [10]
90km per hour. Speed = distance÷time Speed= 225/2.5. Speed = 90Km per hour
5 0
2 years ago
(a) Find the magnitude of an earthquake that has an intensity that is 37.25 (that is, the amplitude of the seismograph reading i
MAVERICK [17]

Answer:

The magnitude of an earthquake is 5.6.

Explanation:

The magnitude of an earthquake can be found as follows:

M = log(\frac{I}{S})

Where:

I: is the intensity of the earthquake = 37.25 cm

S: is the intensity of a standard earthquake = 10⁻⁴ cm

Hence, the magnitude is:

M = log(\frac{I}{S}) = log(\frac{37.25}{10^{-4}}) = 5.6

Therefore, the magnitude of an earthquake is 5.6.

I hope it helps you!

6 0
2 years ago
A solid conducting sphere of radius 2.00 cm has a charge of 6.88 μC. A conducting spherical shell of inner radius 4.00 cm and ou
zepelin [54]

Explanation:

Given that,

Radius R= 2.00

Charge = 6.88 μC

Inner radius = 4.00 cm

Outer radius  = 5.00 cm

Charge = -2.96 μC

We need to calculate the electric field

Using formula of electric field

E=\dfrac{kq}{r^2}

(a). For, r = 1.00 cm

Here, r<R

So, E = 0

The electric field does not exist inside the sphere.

(b). For, r = 3.00 cm

Here, r >R

The electric field is

E=\dfrac{kq}{r^2}

Put the value into the formula

E=\dfrac{9\times10^{9}\times6.88\times10^{-6}}{(3.00\times10^{-2})^2}

E=6.88\times10^{7}\ N/C

The electric field outside the solid conducting sphere and the direction is towards sphere.

(c). For, r = 4.50 cm

Here, r lies between R₁ and R₂.

So, E = 0

The electric field does not exist inside the conducting material

(d).  For, r = 7.00 cm

The electric field is

E=\dfrac{kq}{r^2}

Put the value into the formula

E=\dfrac{9\times10^{9}\times(-2.96\times10^{-6})}{(7.00\times10^{-2})^2}

E=5.43\times10^{6}\ N/C

The electric field outside the solid conducting sphere and direction is away of solid sphere.

Hence, This is the required solution.

6 0
3 years ago
Other questions:
  • List five examples from daily life in which you see periodic motion caused by a spring or cord.
    14·2 answers
  • On the fashion trends of the 80s where would you begin to look for information
    8·1 answer
  • An overhang hollow shaft carries a 900 mm diameter pulley, whose centre is 250 mm from the centre of the nearest bearing. The we
    10·1 answer
  • A scientist is investigating protons, neutrons, and electrons. Which topic is she studying?
    7·2 answers
  • The driver of a car moving at 90.0 km/h presses down on the brake as the car enters a circular curve of radius 195.0 m. If the s
    6·1 answer
  • "1.0 kg mass is attached to the end of a spring. The mass has an amplitude of 0.10 m and vibrates 2.0 times per second. Find its
    8·2 answers
  • What type of bond is formed when two or more water molecules interact?
    14·1 answer
  • A pilot in a small plane encounters shifting winds. He flies 26.0 km northeast, then 45.0 km due north. From this point, he flie
    11·1 answer
  • Farmer Wilcox wants to reduce the wind velocity near his farm. He should _____.
    7·2 answers
  • explain how a roller coaster functions using gravity and momentum. Why does it not need an engine or a motor to speed it up and
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!