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Over [174]
3 years ago
8

Cheetahs, the fastest of the great cats, can reach 50.0 miles/hour in 2.22 s starting from rest. Assuming that they have constan

t acceleration throughout that time, find their acceleration in meters per second squared.
Physics
2 answers:
elena55 [62]3 years ago
8 0

Answer:

10.07m/s^2

Explanation:

Information we have:

velocities:

initial velocity: v_{i}=0mph (starts from rest)

final velocity: v_{f}=50mph

time:  t=2.22s

Since we need the answer in m/s^2, we nees to convert the speed to meters per second:

v_{f}=\frac{50miles}{1hour}(\frac{1hour}{3,600s} )(\frac{1609.34meters}{1mile} ) \\\\v_{f}=\frac{50*1609.34}{3600} m/s\\\\v_{f}=22.35m/s

We find the acceleration with the following formula:

a=\frac{v_{f}-v_{i}}{t}

substituting the known values:

a=\frac{22.35m/s-0m/s}{2.22s}\\ \\a=10.07m/s^2

the acceleration is 10.07m/s^2

IceJOKER [234]3 years ago
6 0

Answer:

The acceleration of the Cheetah is found to be <u>10.07 m/s²</u>

Explanation:

We have the following data in this question:

Vf = Final Velocity of the Cheetah = 50 miles/hr

Vf = (50 miles/hr)(1 hr/ 3600 s)(1609.34 m/1 mile)

Vf = 22.35 m/s

Vi = Initial Speed of Cheetah = 0 m/s (Since, Cheetah starts from rest)

t = time interval passed = 2.22 s

So, in order to find the acceleration, we simply use the formula for acceleration, that is:

Acceleration = a = (Vf - Vi)/t

a = (22.35 m/s - 0 m/s)/2.22 s

<u>a = 10.07 m/s²</u>

The acceleration of the Cheetah is found to be <u>10.07 m/s²</u>

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P=F/A

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3 years ago
A wooden block contains some nails so that its density is exactly equal to that of water. If it is placed in a tank of water and
belka [17]

Answer:

The correct answer is:

a) remain where it is released

Explanation:

The concept of density seeks to measure the weight of an object in relation to its size. It is the measure of how packed together the particles of that object are. An object placed in a liquid displaces a certain volume of the liquid, based on the relative density of the object and the liquid.

If an object is less dense than a liquid in which it is placed, it displaces a smaller volume of the liquid than its volume, hence only some part of the object will be seen to be under the liquid, the other part will float.

If an object is denser than the liquid in which it is placed, it displaces a larger volume of the liquid than its own volume, making the object to sink and is submerged, sometimes to the bottom of the liquid, but mostly below the point at which it was released.

Finally, if the density of an object and the liquid into which it is submerged is the same. the object's mass per unit volume is the same as the liquid's mass per unit volume, hence the weight and force created due to density will balance and cancel each other out hence making the object to remain where it was submerged.

8 0
3 years ago
16. For this table of data, how should the y-axis be labeled (with units)?
vampirchik [111]

Answer:

The y-axis should be labelled as W in Newtons (kg·m/s²)

Explanation:

The given data is presented here as follows;

Mass (kg)            {}        Newtons (kg·m/s²)

3.2                      {}           31.381

4.6             {}                    45.1111

6.1              {}                    59.821

7.4              {}                    72.569

9                {}                     89.241

10.4              {}                   101.989

10.9              {}                  106.892

From the table, it can be seen that there is a nearly linear relationship between the  amount of Newtons and the  mass, as the slope of the data has a relatively constant slope

Therefore, the data can be said to be a function of Weight in Newtons to the mass in kilograms such that the weight depends on the mass as follows;

W(m) in Newtons = Mass, m in kg × g

Where;

g is the constant of proportionality

Therefore, the y-axis component which is the dependent variable is the function, W(m) = Weight of the body while the x-axis component which is the independent variable is the mass. m

The graph of the data is created with Microsoft Excel give the slope which is the constant of proportionality, g = 9.8379, which is the acceleration due to gravity g ≈ 9.8 m/s²

We therefore label the y-axis as W in Newtons (kg·m/s²)

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Answer:

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4. Protons, protons

5. Neutrons, Neutrons

6. Direct, direct.

7. Inverse, inverse

8. No relationship, no relationship

9. Experimental control

10. Controlled variables

Here is more about the question:

An atom has 3 subatomic particles:

Proton: positively charged particles

Electron: Negatively charged particles

Neutrons: Neutrally charged particles

The nucleus is made up of the protons and neutrons, while the electrons are found outside, within the electron cloud.

Electrons are very important in bonding. It is also heavily involved in electricity. Electricity is the flow of electrons through a conductor.

Relationships in a graph:

For direct relationships, you just need to remember, when one goes up, the other one goes up too.

Inverse relationships on the other hand, when one goes up the other goes down.

If no change occurs, then we can say that there is no relationship.

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