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
Art [367]
3 years ago
7

The froghopper, a tiny insect, is a remarkable jumper. suppose you raised a colony of the little critters on titan, a moon of sa

turn, where the acceleration due to gravity is only 1.35 m/s2, compared to the earth value of g = 9.81 m/s2. if on earth a froghopper\'s maximum height is h and maximum horizontal range is r, what would its maximum height and range be on titan in terms of h and r? assume the froghopper\'s takeoff velocity is the same on titan as on earth.
Physics
2 answers:
inysia [295]3 years ago
8 0

In projectile motion we know that range of projectile is given as

R = \frac{v^2 sin2\theta}{g}

also the maximum height is given as

H = \frac{v^2sin^2\theta}{2g}

so here we can see that maximum height and range on earth will inversely depends on gravity

now if we compare this height and range on earth and moon

\frac{R_E}{R_M} = \frac{g_m}{g_e}

\frac{R}{R_M} = \frac{1.35}{9.8}

R_M = \frac{R* 9.8}{1.35} = 7.26 R

similarly for height we have

\frac{H_E}{H_M} = \frac{g_m}{g_e}

\frac{H}{H_M} = \frac{1.35}{9.8}

H_M = \frac{H* 9.8}{1.35} = 7.26 H

so both will increase by factor of 7.26

Lynna [10]3 years ago
5 0

The height to which the frog-hopper jumps on the surface of titan will be \boxed{7.26h} and the range of the frog-hopper will be \boxed{7.26R}.

Explanation:

The motion of the projectile on the surface of the planet occurs in two dimension. The vertical motion of the frog-hopper will be under the action of the gravity whereas the horizontal motion of the frog-hopper will be the motion under constant speed.

Write the expression for the maximum height attained by the frog-hopper:

h=\dfrac{v_{y}^2}{2g}                                               ...... (1)

Here, h is the maximum height attained by the frog-hopper, v_y is the velocity in vertical direction.

Consider that the height attained by the frog-hopper on the surface of titan is h_{T} and h_{E} on the surface of Earth.

Compare the maximum heights attained by the frog-hopper on Earth and titan:

\dfrac{h_{E}}{h_{T}}=\dfrac{g_T}{g_E}

Substitute the value of the acceleration due to gravity on each surfaces.

\begin{aligned}\dfrac{h}{h_T}&=\dfrac{1.35\text{ m/s}^2}{9.81\text{ m/s}^2}\\h_T&=7.26h\end{aligned}

Write the expression for the range of jump of the frog-hopper:

R=\dfrac{v^2sin2\theta}{g}                                                    ...... (2)

Compare the range of the frog-hopper on the surface of Earth and titan:

\dfrac{R_{E}}{R_{T}}=\dfrac{g_T}{g_E}

Substitute the value of the acceleration due to gravity on each surfaces.

\begin{aligned}\dfrac{R}{R_T}&=\dfrac{1.35\text{ m/s}^2}{9.81\text{ m/s}^2}\\R_T&=7.26R\end{aligned}

Thus, the height to which the frog-hopper jumps on the surface of titan will be \boxed{7.26h} and the range of the frog-hopper will be \boxed{7.26R}.

Learn More:

1. The acceleration of the block on friction surface brainly.com/question/7031524

2. The one which is not a component of a lever brainly.com/question/1073452

3. Change in the momentum of the car due to the collision brainly.com/question/9484203

Answer Details:

Grade: High School

Subject: Physics

Chapter: Projectile motion

Keywords:

froghopper, tiny insect, titan, range, maximum height, vertical direction, projectile, in terms of h and r, takeoff velocity, raised a colony.

You might be interested in
An ocean thermal energy conversion system is being proposed for electric power generation. Such a system is based on the standar
defon

Answer:

Explanation:

Dear Student, this question is incomplete, and to attempt this question, we have attached the complete copy of the question in the image below. Please, Kindly refer to it when going through the solution to the question.

To objective is to find the:

(i) required heat exchanger area.

(ii) flow rate to be maintained in the evaporator.

Given that:

water temperature = 300 K

At a reasonable depth, the water is cold and its temperature = 280 K

The power output W = 2 MW

Efficiency \zeta = 3%

where;

\zeta = \dfrac{W_{out}}{Q_{supplied }}

Q_{supplied } = \dfrac{2}{0.03} \ MW

Q_{supplied } = 66.66 \ MW

However, from the evaporator, the heat transfer Q can be determined by using the formula:

Q = UA(L MTD)

where;

LMTD = \dfrac{\Delta T_1 - \Delta T_2}{In (\dfrac{\Delta T_1}{\Delta T_2} )}

Also;

\Delta T_1 = T_{h_{in}}- T_{c_{out}} \\ \\ \Delta T_1 = 300 -290 \\ \\ \Delta T_1 = 10 \ K

\Delta T_2 = T_{h_{in}}- T_{c_{out}} \\ \\ \Delta T_2 = 292 -290 \\ \\ \Delta T_2 = 2\ K

LMTD = \dfrac{10 -2}{In (\dfrac{10}{2} )}

LMTD = \dfrac{8}{In (5)}

LMTD = 4.97

Thus, the required heat exchanger area A is calculated by using the formula:

Q_H = UA (LMTD)

where;

U = overall heat coefficient given as 1200 W/m².K

66.667 \times 10^6 = 1200 \times A \times 4.97 \\ \\  A= \dfrac{66.667 \times 10^6}{1200 \times 4.97} \\ \\  \mathbf{A = 11178.236 \ m^2}

The mass flow rate:

Q_{H} = mC_p(T_{in} -T_{out} )  \\ \\  66.667 \times 10^6= m \times 4.18 (300 -292) \\ \\ m = \dfrac{  66.667 \times 10^6}{4.18 \times 8} \\ \\  \mathbf{m = 1993630.383 \ kg/s}

3 0
3 years ago
A crate with a mass of m = 450 kg rests on the horizontal deck of a ship. The coefficient of static friction between the crate a
Zielflug [23.3K]

Answer:F_{v} =\mu_{k} mg

Magnitude of the force is 2601.9 N

Explanation:

m = 450 kg

coefficient of static friction μs = 0.73

coefficient of kinetic friction is μk = 0.59

The force required to  start crate moving is F_{s} =\mu_{s} mg.

but once crate starts moving the force of friction is reduced  F_{v} =\mu_{k} mg.

Hence  to keep crate moving at constant velocity we have to reduce the  force pushing crate ie F_{v} =\mu_{k} mg.

Then the above pushing force will equal the frictional force due to kinetic friction and constant velocity is possible as  forces are balanced.

Magnitude of the force

F_{v} =\mu_{k} mg\\F_{v} =0.59 \times 450 \times 9.8\\F_{v} =2601.9  N

4 0
3 years ago
Describe the difference between balanced forces and action/reaction forces
Alecsey [184]
 Balanced forces<span> act on the same object and </span>Action-Reaction forces<span> act on different objects.</span>
5 0
2 years ago
Read 2 more answers
The magnetic field is 0.0 2M from the wire is 0.1 T what is the magnitude of the magnetic field 0.0 1M from the same wire
Kisachek [45]

Answer:

0.2 T

Explanation:

Magnetic field is inversely proportional to the distance from wire since the distance is halved therefore magnetic field will be doubled.

4 0
3 years ago
psychology chapter 7, principles of learning; I am the process whereby animals are taught a complicated response by being reward
jeyben [28]
<span>Answer: Burrhus Frederic Skinner's Operant Conditioning.

</span><span>B.F. Skinner  believed that to understand behavior, in the best way, is to look at the root causes or reasons of an action and its outcomes. 
</span>
Skinner proposes the Law of Effect-Reinforcement. Here,he differentiated the positively reinforced behavior or the strengthened behavior, the negatively reinforced behavior (removal of the unpleasant experience), and weakened behavior because of punishment.  
<span>
In positive reinforcement,  behavior is strengthened through providing an outcome, an effect that an individual finds rewarding. Negative reinforcement also strengthens behavior because the unpleasant experience was removed. Punishment on the other hand is an opposite to reinforcement. Instead of increasing the response, it eliminates it or weakens it.
</span> 
8 0
3 years ago
Other questions:
  • He graph shows all of the stable isotopes of elements according to the numbers of protons and neutrons in their nuclei.
    11·1 answer
  • A current carrying wire wrapped around an iron ore is called a
    6·1 answer
  • Which example best illustrates that light behaves like particles?
    12·2 answers
  • An object exerts a reaction force when it
    5·1 answer
  • A skater increases her speed uniformly from 2.0 meters per second to 7.0 meters per second over a distance of 12 meters. the mag
    7·1 answer
  • Beginning at the NW corner of the intersection of Pine &amp; 675, thence north 950 feet, thence west 380 feet, thence south 950
    11·2 answers
  • At what angle should an object be thrown so that the maximum range is equal to three times the height reached by the projectile?
    7·1 answer
  • You can use _______________ to change a liquid into a gas.
    15·1 answer
  • A boy is pulling his two sisters on a sled.
    14·1 answer
  • Sound travels through different mediums using..
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!