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
Ymorist [56]
3 years ago
5

A stone is thrown vertically into the air at an initial velocity of 96 ft/s. On Mars, the height s (in feet) of the stone above

the ground after t seconds is s=69t-6t2and on Earth it is s=69t-16t2. How much higher will the stone travel on Mars than on Earth?
Physics
1 answer:
vladimir1956 [14]3 years ago
6 0

Answer:

240 ft

Explanation:

t = Time taken

u = Initial velocity = 96 ft/s

v = Final velocity

s = Displacement

a = Acceleration = 12 m/s² on Mars 32 ft/s² on Earth negative due to upward direction

Mars

s=ut+\frac{1}{2}at^2\\\Rightarrow s=96\times t+\frac{1}{2}\times -12\times t^2\\\Rightarrow s=96t-6t^2\ ft

Earth

s=ut+\frac{1}{2}at^2\\\Rightarrow s=96\times t+\frac{1}{2}\times -32\times t^2\\\Rightarrow s=96t-16t^2\ ft

Differentiating the first equation with respect to time we get

\frac{ds}{dt}=96-12t

Equating with zero

0=96-12t\\\Rightarrow t=\frac{96}{12}=8\ s

Differentiating the second equation with respect to time we get

\frac{ds}{dt}=96-32t

Equating with zero

0=96-32t\\\Rightarrow t=\frac{96}{32}=3\ s

Applying the time taken to the above equations, we get

s=96t-6t^2\ ft\\\Rightarrow s=96\times 8-6\times 8^2\\\Rightarrow s=384

s=96t-16t^2\\\Rightarrow s=96\times 3-16\times 3^2\\\Rightarrow s=144

Difference in height = 384-144 = 240 ft

The stone will travel 240 ft higher on Mars

You might be interested in
A book is sitting on a table until I decide I needed more room sol pushed it 2 points
EleoNora [17]

Answer:

is their a picture or something

Explanation:

5 0
3 years ago
Moving 2.0 coulombs of charge a distance of 6.0 meters from point A to point B within an electric field requires a 5.0-newton fo
amm1812

Answer:

15 V

Explanation:

Electric potential is given as the product of Electric field and distance. Mathematically:

V = E * r

Where E = Electric field

r = distance = 6m

Electric field, E, is:

E = F / q

Where F = Electric force = 5N

q = Electric charge = 2C

Therefore, electric potential will be:

V = (F * r) / q

V = (5 * 6) / 2

V = 15V

5 0
3 years ago
What work is done by the electric force when the charge moves a distance of 2.70 m at an angle of 45.0∘ downward from the horizo
Andreyy89

Incomplete question as many data is missing.I have assumed value of charge and electric field.The complete question is here

A charge of 28 nC is placed in a uniform electric field that is directed vertically upward and that has a magnitude of 5.00×10⁴ V/m.

What work is done by the electric force when the charge moves a distance of 2.70 m at an angle of 45.0 degrees  downward from the horizontal?

Answer:

W_{work}=2.67*10^{-3}J

Explanation:

Given data

Charge q=28 nC

Electric field E=5.00×10⁴ V/m.

Distance d=2.70 m

Angle α=45°

To find

Work done by electric force

Solution

W_{work}=F_{force}*D_{distance}Cos\alpha  \\where\\F_{force}=q_{charge}*E_{Electric-Field}\\So\\W_{work}=qE*D*Cos\alpha \\W_{work}=(28*10^{-9}C )(5.00*10^{4}V/m )(2.70m)Cos(45)\\W_{work}=2.67*10^{-3}J

8 0
3 years ago
Please help me
gtnhenbr [62]

Answer:

Catch these points g thanks

Explanation:

0.1

4 0
3 years ago
Read 2 more answers
Match these items and the phrases with which they are associated.
amid [387]
Amount of matter in object is mass.density is mass/volume.h2o is water.drew first picture of atom is Neil's Bohr.l* w* h is volume.basic unit of matter is atom.mixture is concrete.n=1 is inner shell.upward force of a liquid on an object is buoyancy.
4 0
3 years ago
Other questions:
  • A pair of glasses is dropped from the top of a 42.0 meter high stadium. A pen is dropped from the same position 2.00 seconds lat
    8·1 answer
  • What is 6.9x10^7 written is standard form
    9·2 answers
  • Two wooden boxes of equal mass but different density are held beneath the surface of a large container of water. Box A has a sma
    15·1 answer
  • During a race there are lots of forces that are exerted on a race car. One of these forces is friction.
    6·1 answer
  • The first scientist on record to attempt the measurement of the speed of light was
    11·2 answers
  • A note on a piano vibrates 262 time per second. What is the period of the wave
    13·1 answer
  • A 0.25-kilogram ball is observed to accelerate at 4,000 m/sec2 as it is hit with a bat.
    7·1 answer
  • A car has a mass of 1000 kg and a momentum of 12 000 kg m / s.<br> What is its kinetic energy?
    7·1 answer
  • In order to get the most accurate mass measurement, you must __(blank)__.
    5·1 answer
  • What is the Net Force of the applied forces? *
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!