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
matrenka [14]
2 years ago
14

Given the following situation of marble in motion on rolling 10 m/s horizontally from a height of 1.5-m with negligible friction

.
a.) Once the ball leaves the table, calculate how long it will take for the ball to hit the floor?
b.) How far will the ball travel horizontally before hitting the floor?
Physics
1 answer:
Norma-Jean [14]2 years ago
4 0

Answer:

The ball would hit the floor approximately 0.55\; \rm s after leaving the table.

The ball would travel approximately 5.5\; \rm m horizontally after leaving the table.

(Assumption: g = 9.81\; \rm m \cdot s^{-2}.)

Explanation:

Let \Delta h denote the change to the height of the ball. Let t denote the time (in seconds) it took for the ball to hit the floor after leaving the table. Let v_0(\text{vertical}) denote the initial vertical velocity of this ball.

If the air resistance on this ball is indeed negligible:\displaystyle \Delta h = -\frac{1}{2}\, g\, t^{2} + v_0(\text{vertical}) \cdot t.

The ball was initially travelling horizontally. In other words, before leaving the table, the vertical velocity of the ball was v_0(\text{vertical}) = 0 \; \rm m \cdot s^{-1}.

The height of the table was 1.5\; \rm m. Therefore, after hitting the floor, the ball would be 1.5\; \rm m \! below where it was before leaving the table. Hence, \Delta h = -1.5\;\rm m.

The equation becomes:

\displaystyle -1.5 = -\frac{9.81}{2} \, t^{2}.

Solve for t:

\displaystyle t = \sqrt{1.5 \times \frac{2}{9.81}} \approx 0.55.

In other words, it would take approximately 0.55\; \rm s for the ball to hit the floor after leaving the table.

Since the air resistance on the ball is negligible, the horizontal velocity of this ball would be constant (at v(\text{horizontal}) =10\; \rm m \cdot s^{-1}) until the ball hits the floor.

The ball was in the air for approximately t = 0.55\; \rm s and would have travelled approximately v(\text{horizontal})\cdot t \approx 5.5\;\rm m horizontally during the flight.

You might be interested in
What feature of an object does not affect air resistance?
lakkis [162]
The amount of air resistance<span> an </span>object<span> experiences depends on its speed, its cross-sectional area, its shape and the density of the </span>air<span>. </span>Air<span> densities vary with altitude, temperature and humidity. Nonetheless, 1.29 kg/m</span>3<span> is a very reasonable value. The shape of an </span>object affects<span> the drag coefficient (C</span>d<span>)</span>
7 0
3 years ago
Which of the following is not true of a conductor? A. It is used in electrical circuits. B. It allows easy passage of moving cha
Oksi-84 [34.3K]
Three of the statements are true.  'D' is false.
Glass and rubber are excellent insulators, total duds as conductors.
8 0
2 years ago
Read 2 more answers
compared to an object that does not roll, but instead slides without friction, should a rolling object be released from the same
Zinaida [17]

Answer:

from a lesser hight

Explanation:

because you need less force

hope its right if it is mark brainlyest ;)

6 0
2 years ago
Examine the scenario. Object A has 5 protons and 5 electrons. Object B has 5 protons and 7 electrons. Which option most accurate
Travka [436]
<span>Last choice on the list:
Object A has a net charge of 0 because the positive and negative
charges are balanced.
Object B has a net charge of –2 because there is an imbalance of
charged particles (2 more negative electrons than positive protons).</span>
4 0
3 years ago
Which of the following nuclei is most stable based on its binding energy?
Anettt [7]
We have that the most stable nuclei are the ones with the highest average binding energy. We see that Nitrogen has a mass number of 15 and that in this region of the graph average binding energy is low. Silver and Gold are along a line where there is a constant decline in average binding energy; silver has more than gold. However, we see that at the start of this decline, there is Fe 56. This region has the elements with the highest average binding energy; Nickel with a mass number of 58 is right there and thus it is the most stable nucleus out of the listed ones.
4 0
3 years ago
Other questions:
  • Which of the following leads most directly to the production of igneous rocks?
    8·1 answer
  • Which layer of the Sun appears pinkish-red during a solar eclipse?
    5·2 answers
  • Calculate the gravitational potential energy of the interacting pair of the Earth and a 11 kg block sitting on the surface of th
    10·1 answer
  • Would the light turn on? Why or why not
    8·2 answers
  • Can anyone help me with this assignment? please and thank you
    11·1 answer
  • Just like other scientists and philosophers of his time, Archimedes believed the secrets of the universe could be revealed by th
    9·1 answer
  • Give two example of Pseudoscience?
    8·1 answer
  • Which material(s) listed below is an example of a persistent organic pollutant?
    14·1 answer
  • __________ have become the most powerful distributors of information and news.
    12·1 answer
  • an airplane flying due north at 90. km/h is being blown due west at 50. km/h. what is the resultant velocity of the plane?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!