A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2m/s2 for 6.5s , after which the gazelle CONTINUES at a steady speed.

a. What is the gazelles top speed?
b. A human would win a very short race with a gazelle. The best time for a 30 m sprint for a human runner is 3.6 s. How much time would the gazelle take for a 30 m race?

Answers

Answer 1

Answer:

The correct answer will be:

(a) 27.3 m/s

(b) 3.8 s

Explanation:

According to the question:

Acceleration,

[tex]a= 4.2 \ m/s^2[/tex]

Time,

[tex]t = 6.5 \ s[/tex]

(a)

The gazelles top speed will be:

⇒  [tex]V_{max} = at[/tex]

             [tex]=4.2\times 6.5[/tex]

             [tex]=27.3 \ m/s[/tex]

or,

             [tex]= 27 \ m/s[/tex]

(b)

As we know,

s = 30 m

Now,

⇒  [tex]s = \frac{1}{2} at^2[/tex]

or,

⇒  [tex]t=\sqrt{\frac{2s}{a} }[/tex]

On putting the given values, we get

       [tex]=\sqrt{\frac{2\times 30}{4.2} }[/tex]

       [tex]=\sqrt{\frac{60}{4.2} }[/tex]

       [tex]=3.78 \ s[/tex]

or,

       [tex]=3.8 \ s[/tex]


Related Questions

Based on the number on the fuse, what do you think is the maximum current allowed in this circuit?

Answers

Answer:

0.3 A

Explanation:

Build the circuit attached. Make sure the switch is turned off as you build the circuit. Set the Selected battery voltage to 10 volts.

A.      Based on the number on the fuse, what do you think is the maximum current allowed in this circuit?

Solution:

A fuse is a safety device which is used in circuits for preventing very high currents which can cause overloading or start a fire. A fuse is made up of a low resistance thin piece of metal such that the flow of high current can cause the metal to melt leading to an open circuit. A fuse lets current flow up to a maximum value before it melts and the circuit will be broken.

From the image attached, since the maximum rating of the fuse is 0.3 A, hence the maximum current that can flow through the circuit is 0.3 A.

Q: Winding roads and sharp curves are inherently dangerous
because -

A- You can't see far ahead

B- The speed limit is so slow

C- There may be other vehicles traveling in the
opposite direction

D- You may struggle to stay at the same speed

Answers

Answer:

A) you can't see far ahead

D. You may struggle to stay at the same speed.

Winding roads and sharp curves are dangerous because of centrifugal forces while taking curves, whose classic formula is described below:

[tex]F = m\cdot \frac{v^{2}}{r}[/tex] (1)

Where:

[tex]F[/tex] - Centrifugal force, in newtons.[tex]v[/tex] - Speed, in meters per second.[tex]r[/tex] - Radius of curvature, in meters per second.

Sharps curves are characterized by low radii of curvature. Given that centrifugal force is inversely proportional to the square radius of curvature and it is opposed to friction force between tires and pavement, if centrifugal force is higher than maximum static friction force, then a car accident could if driver does not decelerate.

Therefore, correct choice is D.

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distance travelled/time taken gives?

Answers

Answer:

speed

Explanation:

Speed = distance travelled/time taken

Answer: Speed

Explanation:

Speed is defined as the rate of change of the position of an object in a direction. The speed of an object is calculated as the distance travelled divided by the time that is taken.

Speed is regarded as a scalar quantity since it has only direction but doesn't have magnitude. The answer to the above question is speed.

Tritium and helium-3 have the same number of nucleons, but tritium has one proton and two neutrons whereas helium-3 has two protons and one neutron. Without doing a calculation, decide which nucleus has a greater binding energy. Explain. (Select all that apply.)

a. This happens in part because the tritium nucleus has greater Coulombic repulsion.
b. This happens in part because the helium-3 nucleus has greater Coulombic repulsion between nucleons.
c. This happens in part because the tritium nucleus has an extra neutron enhancing the nuclear forces.
d. Helium-3 is more stable.
e. This happens in part because the helium-3 nucleus has fewer neutrons.
f. Tritium is more stable.

Answers

Answer:

Tritium is more stable.

This happens in part because the tritium nucleus has an extra neutron enhancing the nuclear forces.

Explanation:

The binding energy is the energy that holds nucleons together in the nucleus. It depends on the number of nucleons present in the nucleus. The greater the number of nucleons, the greater the binding energy.

Also, the more the number of neutrons in a nucleus, the greater the nuclear forces. Helium-3 has only one neutron while tritium has two neutrons. The extra neutron in tritium enhances the nuclear forces hence tritium has a greater binding energy than Helium-3

Tritium is more stable.this happens in part because the tritium nucleus has an extra neutron enhancing the nuclear forces.

What is binding energy?

The binding energy is the energy that holds nucleons together in the nucleus. It depends on the number of nucleons present in the nucleus.

The greater the number of nucleons, the greater the binding energy.Also, the more the number of neutrons in a nucleus, the greater the nuclear forces.

Helium-3 has only one neutron while tritium has two neutrons. The extra neutron in tritium enhances the nuclear forces hence tritium has greater binding energy than Helium-3

Thus tritium is more stable.this happens in part because the tritium nucleus has an extra neutron enhancing the nuclear forces.

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POSSIBLE POINTS: 4
A sound wave traveling through a solid material has a frequency of 5 hertz. The wavelength of the sound wave is 2 meters. What is the speed of sound in
the material?
50 m/s
1,000 m/s
.
25 m/s
10 m/s
17
18 19 20 21 22 23 24 25 26
19 20 21 2
Ne
12631
MAY
20
0
étv

Answers

Answer:

v = fy

speed is equal to frequency × wavelength

5 × 2

[tex]10m.s^{ - 1} [/tex]

A thin film of acetone (n=1.25) lies on the surface of a thick piece of water (n=1.30). White light shines down from air onto the thin layer of acetone. Destructive interference occurs for m=3 for a wavelength in air of 600 nm. What is the thickness of the thin film?

Answers

Answer:

Explanation:

The wave of light is being reflected two times while going from lower to higher refractive index mediums

So there will be phase reversal two times .

Condition of destructive index

2 μ t = ( 2m+1) λ / 2

Substituting the values

2 x 1.25 x t = ( 2 x 3 + 1 ) x 600nm / 2

2.5 t = 2100 nm

t = 840 nm .

If you make multiple measurements of your height, you are likely to find that the results vary by nearly half an inch in either direction due to measurement error and actual variations in height. You are slightly shorter in the evening, after gravity has compressed and reshaped your spine over the course of a day. One measurement of a man's height is 6 feet and 1 inch. Express his height in meters, using the appropriate number of significant figures.

Answers

Answer:

H = 1.85 m

Explanation:

First, we will convert the height completely into inches. 1 feet contains 12 inches in it. Therefore:

H = (6 feet)(12 inch/1 feet) + 1 inch

H = 73 inches

Now, we will convert this height from inches to meters. 1 inch is equivalent to 0.0254 m. Therefore:

H = (73 inches)(0.0254 m/1 inch)

H = 1.85 m

An object is moving in a straight line at constant speed. A resultant torce begins to act upon
the object.
State the ways in which the force may change the motion of the object

Answers

Answer: The velocity magnitude or the velocity direction chages.

Explanation:

According to Newton's second law of motion, the acceleration of a system moved in same direction and is also directly proportional to the external force which acts on it while inversely proportional to the mass. The formula is: a = F/m

Based on the question, since the object obtains acceleration, then it can be infered that there will be changes in the velocity magnitude or the direction as a result of the motion.

Which is one way to determine whether a reaction was a chemical reaction or a nuclear reaction?

Answers

Answer:

Check how much energy was released during the reaction or check for a change in total mass

Pls help! Tysm!!! :D

Answers

Answer:

Slowing a bike by applying the brkaes is an xmaple of acceleration

Explanation:

What is the net force on a skydiver falling with a constant velocity of 0 m/s downward?

Answers

Since the velocity is constant then the there is 0 net force on him falling downward.

By how many times would the gravitational force between two objects decrease if the distance between the two objects was tripled?

Answers

Answer:

If the separation distance between any two objects is tripled (increased by a factor of 3), then the force of gravitational attraction is decreased by a factor of 9 (3 raised to the second power).

When two charged particles are moving toward each other, their velocities decrease until they eventually come to a
stop. What happens afterward? (1 point)
O They remain in the same place without moving.
O They accelerate toward each other.
O they bond and accelerate together.
O They accelerate in opposite directions.

Answers

Answer: 3rd option!
They bond and accelerate together

When two charged particles are moving toward each other, they bond and accelerate together.

To find the correct statement among all the options, we need to know about electromagnetic force.

What is electromagnetic force?The force between any two dynamic charged particles is the electromagnetic force. It's a combination of electric force and magnetic force. What does happen, when two charged particles move towards each other?When two charged particles move towards each other, they combine with each other dur to the electromagnetic force. Then they are travelled together as a single particle along the direction of more acceleration.

Thus, we can conclude that the option (C) is correct.

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A bar magnet is held in place while another bar magnet is placed near it. The second bar magnet spins around and
attaches to the first magnet on one end. Which statement is correct about the energy stored in the magnetic field?
(1 point)
O The increase in the energy stored in the system is proportional to the increase in kinetic energy.
O The decrease in the energy stored in the system is proportional to the decrease in kinetic energy.
O The increase in the energy stored in the system is proportional to the decrease in kinetic energy.
O The decrease in the energy stored in the system is proportional to the increase in kinetic energy.

Answers

Answer:

o

Explanation:

the increase energy stored in thw system is proportional to the decrease in kinetic energy

The increase in the energy stored in the system is proportional to the decrease in kinetic energy.

What is energy stored in the system ?

"The energy stored in the system means the sum of energies of both magnets when second magnet stop spin and stick with first magnet. It is clear that the rotational kinetic energy of second magnet decrease and becomes part of the system. Hence the increase in the energy stored in the system is proportional to the decrease in kinetic energy."

What is kinetic energy ?

"Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy."

Know more about kinetic energy here

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Explain the difference between the speed of an Electromagnetic wave and its frequency?

Answers

Answer:

Electromagnetic waves differ in their wavelengths and frequencies. The higher the frequency of an electromagnetic wave, the greater its energy. The speed of an electromagnetic wave is the product of its wavelength and frequency, so a wave with a shorter wavelength has a higher frequency, and vice versa.

Explanation:

Which ones are correct??

Answers

Answer:

blanket:thermal conductivity

as it conduct heat.

aquarium glass:transparency

as light can be transfered from one side to

another.

3.6 Make innovative suggestions on how you could instill healthy environmental values
in communities.

Answers

You could hold rallies which attract a lot of people, they come and you discuss apon making the world a better place and how you want to shape the society.

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