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
slega [8]
3 years ago
10

A lead ball is dropped into a lake from a diving board 6.10 mm above the water. After entering the water, it sinks to the bottom

with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 4.50 ss after it is released. How deep is the lake?
Physics
2 answers:
olga55 [171]3 years ago
5 0

Answer: d = 1.54m

The depth of the lake is 1.54m

Explanation:

The final velocity of the ball just before it hit the water can be derived using the equation below;

v^2 = u^2 + 2as ......1

Where ;

v is the final velocity

u is the initial velocity

a is the acceleration

s is the distance travelled.

Since the initial velocity is zero, and the acceleration is due to gravity, the equation becomes:

v^2 = 2gs

v = √2gs ......2

g = 9.8m/s^2

s = 6.10mm = 0.0061m

substituting into equation 2

v = √(2 × 9.8× 0.0061)

v = 0.346m/s

The time taken for the ball to hit water from the time of release can be given as:

d = ut + 0.5gt^2

Since u = 0

d = 0.5gt^2

Making t the subject of formula.

t = √(2d/g)

t = √( 2×0.0061/9.8)

t = 0.035s

The time taken for the ball to reach the bottom of the lake from the when it hits water is:

t2 = 4.5s - 0.035s = 4.465s

And since the ball falls for 4.465s to the bottom of the lake at the same velocity as v = 0.346m/s. The depth of the lake can be calculated as;

depth d = velocity × time = 0.346m/s × 4.465s

d = 1.54m

The depth of the lake is 1.54m

sveticcg [70]3 years ago
3 0

Answer:

D=1.54489 m

Explanation:

Given data

S=6.10 mm= 0.0061 m

To find

Depth of lake

Solution

To find the depth of lake first we need to find the initial time ball takes to hit the water.To get the value of time use below equation

S=v_{1}t+(1/2)gt^{2} \\ 0.0061m=(0m/s)t+(1/2)(9.8m/s^{2} )t^{2}\\ t^{2}=\frac{0.0061m}{4.9m/s^{2} }\\  t=\sqrt{1.245*10^{-3} }\\ t=0.035s

So ball takes 0.035sec to hit the water

As we have found time Now we need to find the final velocity of ball when it enters the lake.So final velocity is given as

v_{f}=v_{i}+gt\\v_{f}=0+(9.8m/s^{2} )(0.035s)\\ v_{f}=0.346m/s

Since there are (4.50-0.035) seconds left for (ball) it to reach the bottom of the lake

So the depth of lake given as:

D=|vt|\\D=|0.346m/s*4.465s|\\D=1.54489m

You might be interested in
If you walk 30 meters forwards, and then turn around and walk 25 meters backwards, what is the distance that you walked? What di
xeze [42]

Given :

Walk in forward direction is 30 m .

Walk in backward direction is 25 m .

To Find :

The distance and displacement .

Solution :

We know , distance is total distance covered and displacement is distance between final and initial position .

So , distance travelled is :

D = 30 + 25 m = 55 m .

Now , we first move 30 m in forward direction and then 25 m in backward direction .

So , displacement is :

D = 30 - 25 m = 5 m .

Therefore , distance and displacement covered is 55 m and 5 m respectively .

Hence , this is the required solution .

5 0
3 years ago
An Na ion has a charge of +1 and an O ion has a charge of –2. How many Na ions does one O ion need to balance charges
Aleonysh [2.5K]
Because Na⁺ ion lacks an electron and O²⁻ has two extra electrons extra, to balance the charge, we need 2 Na⁺ ions.
 
All ions, atoms and molecules want to get to the minimum energy state, and that state is when the ion, atom, or molecule is neutral, that's why all of them want to balance their charges. 
7 0
3 years ago
Read 2 more answers
What is the frictional force between a box and the floor it is being pulled across if, the kinetic coefficient of friction is 0.
Artyom0805 [142]

If the pulling is done parallel to the floor with constant velocity, then the box is in equilibrium. In particular, the weight and normal force cancel, so that

<em>n</em> = 38 N

The friction force is proportional to the normal force by a factor of 0.27, so that

<em>f</em> = 0.27 (38 N) ≈ 10.3 N

and so the answer is D.

8 0
3 years ago
"the toy car is about 3 inches long"is an example of a ________ observation
koban [17]

It's a quantitative observation because it includes numerical data.

3 0
3 years ago
Read 2 more answers
How do heat insulators work
a_sh-v [17]
The heat is transferred to one material to another, however insulators minimize that transfer, keeping it in the area, warming it. 
4 0
2 years ago
Read 2 more answers
Other questions:
  • A clam of mass 0.12 kg dropped by a seagull takes 3.0 s to hit the ground. [Neglect friction.]
    5·1 answer
  • PLEASE HELP When astronauts eliminate waste in space, which is likely to be used?  [A] showers and faucets, spraying hot water..
    12·1 answer
  • The slope of the line tangent to the curve on a position-time graph at a specific time is the
    11·1 answer
  • At depths of greater than 60 m, ice moves by plastic deformation. What causes this transition from brittle to ductile behavior?
    15·1 answer
  • Which of the following statements is a consequence of the equation, E = mc2
    13·1 answer
  • The insulating solid sphere in the previous Example 24.5 has the same total charge Q and radius a as the thin shell in the examp
    9·1 answer
  • What is the atmospheric pressure 1.00 km above the surface of Venus? Express your answer in Earth-atmospheres.
    9·1 answer
  • Horace has invented a unique pair of reading glasses that have two small light bulbs at the bottom wired in series, so that he c
    6·1 answer
  • 20 POINTS
    6·2 answers
  • To perform a drug lookup to ensure that the new compound has been added to the computer system properly , select in the toolbar
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!