1. Write the equation relating density (D), mass (M), and volume (V).

Answer: D. 0.29 m

Explanation:

We will use the following equations to describe the leap of the cat:

[tex]y=V_{o}sin\theta t-\frac{gt^{2}}{2}[/tex]   (1)

[tex]V_{y}=V_{oy}-gt[/tex]   (2)

Where:

[tex]y[/tex]  is the height of the cat  

[tex]V_{oy}=V_{o}sin\theta[/tex] is the cat's initial velocity

[tex]\theta=60\°[/tex]

[tex]g=9.8m/s^{2}[/tex]  is the acceleration due gravity

[tex]t[/tex] is the time

[tex]V_{y}[/tex] is the y-component of the velocity

Now the cat will have its maximum height [tex]y_{max}[/tex] when [tex]V_{y}=0[/tex]. So equation (2) is rewritten as:

[tex]0=V_{oy}-gt[/tex]   (3)

Finding [tex]t[/tex]:

[tex]t=\frac{V_{oy}}{g}=\frac{V_{o}sin\theta}{g}[/tex]   (4)

[tex]t=\frac{2.74 m/s sin(60\°)}{9.8m/s^{2}}[/tex]   (5)

[tex]t=0.24 s[/tex]   (6)

Substituting (6) in (1):

[tex]y_{max}=(2.74 m/s)sin(60\°) (0.24 s)-\frac{(9.8m/s^{2})(0.24 s)^{2}}{2}[/tex]   (7)

Finally:

[tex]y_{max}=0.287 m \approx 0.29 m[/tex]   (8)

The highest point of the cat’s trajectory, considering the initial speed and angle, is found to be 0.29 m using kinematic equations. Therefore, the correct answer is option D.) 0.29 m.

To find the highest point of the cat's trajectory, we need to focus on the vertical component of the initial velocity and use the kinematic equation for vertical motion.

The initial speed of the cat is given as 2.74 m/s at an angle of 60.0° above the ground.

We first decompose this initial velocity into its vertical component:

Vertical component of velocity(Vy),

At the highest point of the trajectory, the vertical velocity(Vfy) becomes zero. We use the following kinematic equation to find the maximum height (h):

Since Vfy = 0 at the highest point of the trajectory:

Solving for h:

Thus, the highest point of the cat’s trajectory is 0.29 m. The correct answer is D. 0.29 m.

Neglecting air resistance, the horizontal speed of the package just before it hits the ground is <A) zero. B) less than 30 m/s but larger than zero.

Internal energy includes all the energies which are inside the system.  It includes kinetic energy, potential energy, chemical energy, nuclear energy and as well as the thermal energy. So, thermal energy is the portion of the internal energy and since, the thermal energy can be transferred from one body to another.

Hence, the answer is "Thermal energy is the portion of internal energy that can be transferred."

The inclusion of every form of energy is known as internal energy. The statement best describes internal energy is that "thermal energy is the portion of internal energy that can be transferred."

The total energy enclosed by a closed system is known as the internal energy of the system. It includes all forms of energy whether it is mechanical energy or thermal energy.

As per the concept of thermodynamics, "The energy is stored in the form of internal energy, after doing the subsequent amount of work". Moreover, Internal energy includes all the energies which are inside the system.  It includes kinetic energy, potential energy, chemical energy, nuclear energy, and as well as thermal energy. So, thermal energy is the portion of the internal energy since thermal energy can be transferred from one body to another.

Thus we can conclude that the statement best describes the internal energy is that "thermal energy is the portion of internal energy that can be transferred."

Learn more about the internal energy here:

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Answer : Speed is 4.2 m/s

Explanation :

The combined mass of the boy and the skateboard is 65 kg

The momentum of the boy and the skateboard is 275 kg m/s

The momentum is given by:

p = m v

where m is the combined mass of boy and the skateboard.

v is the speed of both boy and the skateboard.

[tex]v=\dfrac{p}{m}[/tex]

[tex]v=\dfrac{275\ kg\ m/s}{65\ kg}[/tex]

[tex]v=4.23\ m/s[/tex]

The speed of the boy and the skateboard is 4.2 m/s

So, the correct option is (C).

Hence, this is the required solution.

By definition of average acceleration,

[tex]\bar a=\dfrac{\Delta v}{\Delta t}[/tex]

[tex]\implies15.0\,\dfrac{\mathrm m}{\mathrm s^2}=\dfrac{160.0\,\frac{\mathrm m}{\mathrm s}-100.0\,\frac{\mathrm m}{\mathrm s}}{\Delta t}[/tex]

[tex]\implies\Delta t=4.00\,\mathrm s[/tex]

when heat is supplied to the the system then as per law of thermodynamics we can say

[tex]Q = \Delta U + W[/tex]

here we can say that heat is converted into the internal energy of gas and some work is done by the system after absorbing this heat.

So here when ice is melting the energy is supplied to the ice which converts into the internal energy of the ice.

Here this internal energy is used to break the bond of ice molecules so that its phase will convert from solid to liquid

So here we can say this heat or this internal energy as Latent heat of fusion of ice

So its formula is given as

[tex]Q = mL[/tex]

so here correct answer is

B) Energy is used to break bonds between molecules in ice.

The correct answer is B) Energy is used to break bonds between molecules in ice.

When ice melts, it undergoes a phase transition from solid to liquid at a constant temperature, which is 0°C (32°F) for water at standard atmospheric pressure.

During this process, the kinetic energy of the molecules (which is related to the temperature of the substance) does not increase because the added energy is not going into increasing the speed at which the molecules move.

Once all the ice has melted and the phase change is complete, any additional energy transferred as heat will then go into increasing the kinetic energy of the water molecules, resulting in an increase in temperature.

Therefore, the statement that Energy is used to break bonds between molecules in ice correctly explains why the temperature of melting ice does not change even though energy is being transferred as heat to the ice. The other options do not accurately describe the process occurring during the melting of ice:

A) The potential energy of the molecules does change as the ice melts; it increases as the molecules move further apart.

C) Kinetic energy is not being converted to chemical energy; rather, energy is being used to overcome the potential energy associated with the intermolecular forces.

D) The heat energy is not absorbed and then disappears; it is used to break the intermolecular bonds and is stored as potential energy in the separated molecules.

Answer:

The stopping car has negative acceleration.

Explanation:

 We know acceleration is the rate of change of velocity. That is

            Acceleration(a) = ( Final velocity - Initial velocity )/ Time taken.

            Here Final velocity = 0 km/h( car stops) and initial velocity = 30 km/h

             So acceleration = (0-30)/time = -30/ time

             Time is always positive , so -30/time is negative, so the stopping car has negative acceleration.

Final answer:

To find the height of the cliff from which a rock falls in 3 seconds, we use the formula s = ut + ½ at², with an initial speed (u) of 0 m/s and acceleration (a) of 9.81 m/s² due to gravity. The calculation shows that the cliff is approximately 44.145 meters high.

Explanation:

The question requires the calculation of the height from which a rock falls off a cliff, given that it falls for 3 seconds. The scenario assumes Earth's gravity as the only acting force, thereby ignoring air resistance. To determine the height of the cliff, we will use the kinematic equation for freely falling objects:

s = ut + ½ at²

where:

Plugging the values into the equation:

s = 0 m/s * 3 s + ½ * 9.81 m/s² * (3 s)²

s = ½ * 9.81 m/s² * 9 s

s = 4.905 m/s² * 9 s
s = 44.145 m

Hence, the cliff is approximately 44.145 meters high.

6.

Basically, all of these questions use F = ma

m = 80 kg

a = 1.62

Weight = F = 80*1.62 = 129.6

The closest answer is B

7.

Step One

Find the mass here on earth

m = F/a

F = 40 kg

a = 9.2

F = 40/9.2 = 4.34

Now take everything to the moon

F = 20 kg

a = ??

m = 4.34

a = F/m = 20/4.34 = 4.6 m/s^2

8

m = 40 kg

F = 20 N

a = ??

a = F/m = 20N/40kg = 1/2 m/s^2

Comment

All of these depend on F = m*a.  None but the first one talk about vertical forces where gravity would play a part. Moving horizontally means that there is no gravitational force if there is no friction.  a = 9.8 has nothing to do with the problem.

Assume the motion when you are in the car or in the school bus to go to the school.

To describe the motion the first thing you need is a point of reference. Assume this is your house.

This should be a description:

AS S =Vit +1/2 at²

Vi = 0   (as initially an object is at rest when it starts motion)

som

S = 1/2 at²

2S/t² =a  ( from this we can find acceleration)

The problem corresponds to the motion of a projectile (the salmon), with initial speed [tex]v_0[/tex], initial direction [tex]\theta=37.6^{\circ}[/tex] and vertical acceleration [tex]g=9.81 m/s^2[/tex] downward. The two equations which gives the horizontal and vertical position of the salmon at time t are

[tex]S_x (t) = v_0 cos \theta t[/tex] (1)

[tex]S_y (t) = v_0 sin \theta t - \frac{1}{2}gt^2[/tex] (2)

We can solve the problem by requiring Sx=3.16 m and Sy=0.379 m, the data of the problem.

Solving eq.(1) for t:

[tex]t=\frac{S_x}{v_0 cos \theta}[/tex]

And substituting this expression of t into eq.(2), we get the following expression for [tex]v_0[/tex]:

[tex]v_0 =\sqrt{\frac{g S_x^2}{2(tan \theta S_x -S_y)cos^2 \alpha}}[/tex]

And substituting the numbers into the equation, we find

[tex]v_0 = 6.16 m/s[/tex]

Answer:

Option B, 11 m is the correct answer.

Explanation:

We have equation of motion , [tex]s= ut+\frac{1}{2} at^2[/tex], s is the displacement, u is the initial velocity, a is the acceleration and t is the time.

In this case u = 0 m/s , t = 1.5 seconds , a = acceleration due to gravity = [tex]9.8m/s^2[/tex], we need to find displacement

Substituting

     [tex]s= 0*1.5+\frac{1}{2}*9.8*1.5^2\\ \\ s=11.025m[/tex]

So option B, 11 m is the correct answer.

The initial speed of the bolt is not 58.86 m/s.  

Let a be the acceleration of the rocket.  

During the 4 sec lift off, the rocket has reached a height of  

h = (1/2)*a*t^2  

with t=4,  

h = (1/2)*a^16  

h = 8*a  

Its velocity at 4 sec is  

v = t*a  

v = 4*a  

The initial velocity of the bolt is thus 4*a.  

During the 6 sec fall, the bolt has the initial velocity V0=-4*a and it drops a total height of h=8*a. From the equation of motion,  

h = (1/2)*g*t^2 + V0*t  

Substituting h0=8*a, t=6 and V0=-4*a into it,  

8*a = (1/2)*g*36 - 4*a*6  

Solving for a  

a = 5.52 m/s^2

The answer is B. Increases and here is why:

The Earth, the Sun, Trees, and basically everything has weight, but why does it have weight? Gravity is why it is hard to lift objects and move around, and the more mass that any object has will be subject to gravity and thus increase its gravitational pull.

The reason that lighting tends to strike bigger and taller objects is simply because the bigger objects draw the electricity in the lightning bolt to themselves due to their increased magnetic and gravitational pulls.

A small increase in aperture will result in a small increase in brightness.

Answer:

large increase in brightness

Explanation:

just trust me.

b 29 newtons

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

have to have a certain amount of letters

Answer:

B) 29 N

Explanation:

Weight is a vector quantity. Weight have both magnitude and direction. The weight of an object is the force of attraction towards the object. it might be gravity or reaction force.  The SI unit of weight is Newton . Weight can be can be calculated when you multiply the mass of an object and the gravitational acceleration. The weight of a particular object varies with location but the mass of the an object is same in any location. The weight of an object is measured with a scale.

Since the mass of the object is given , the weight can be calculated.

W = mass ×  gravitational acceleration

W = mg

m = 3.0 kg

g = 9.8 m/s²

w = 3.0 × 9.8

w = 29.4  N

Different isotopes of an element have different numbers of electrons.

Isotopes are atoms of the same element that have different numbers of neutrons. Since the number of electrons in an atom is equal to the number of protons in the nucleus, isotopes with different numbers of neutrons will have different overall numbers of electrons. For example, carbon-12 and carbon-14 are isotopes of carbon, and carbon-12 has 6 electrons while carbon-14 has 8 electrons.

Isotopes are variants of chemical elements with the same number of protons but different numbers of neutrons. They have various practical applications. For example, radioactive isotopes are used in medicine for imaging and cancer treatment, while stable isotopes are used in tracing chemical reactions, dating archaeological artifacts, and studying geological and environmental processes.

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weight of person on earth = 764 N

mass ?

w=mg           (g =9.8m/s²)

m = w/g

m= 764/9.8

m= 77.9 kg

Weight of person on other planet =5320 N

w=mg

g =w/m

g= 5320 / 77.9

g =68.3 m/s² ( acceleration due to gravity on other planet)

The 'weight' of an object depends directly on the acceleration of gravity in the place where he happens to be.

This guy weighs 764N on Earth, and 5320N where he is now.  So wherever he is now, the acceleration of gravity there is  (5320/764) = 6.96 times the acceleration of gravity on Earth.

The acceleration of gravity on Earth is 9.81 m/s², so it's (9.81 x 6.96) = 68.3 m/s² on the surface of the mystery planet where he is now.

==========================================

Note:  The biggest, heaviest, most massive object in the solar system ... except for the sun itself ... is the planet Jupiter, where the acceleration of gravity is 24.8 m/s².

On the planet where our man has landed, gravity is 2.75 times as strong as on Jupiter, and about 1/4 as strong as on the Sun itself.  He weighs almost 1200 pounds there.  He certainly can't walk around, and he probably won't be able to lift off in his rocket either.

Answer:

What is the wavelength in nm of a light whose first order bright band forms a diffraction angle of 19.0°, and the diffraction grating has 600.0 lines per mm?

543 nm

Explanation:

The wavelength in nm of a light whose first order bright band forms a diffraction angle of 19.0° is 543 nm.

The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave.

Using Huygen's principle of light, we have an expression

nλ =d sinθ

where, n is the order of maximum

           λ is the wavelength of light

           d is the distance between the lines on diffraction grating

           θ is the angle.

The distance between the lines on diffraction grating  is

d = 1 / (600 x 1000) or 0.00000167 m

For first order bright band, n = 1

Then, the wavelength will be

1 x λ = 0.00000167 x sin19.0°,

λ    = 0.000000543 m

 λ   = 543 nm

Thus, the wavelength of the first order bright band is 543 nm .

Learn more about wavelength.

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I think the correct answer is true :)

The 1.0 lb bag of feathers, dropped under free fall conditions from the building, would have fallen approximately 11 meters after 1.5 seconds, according to the physics formula for distance traveled during free fall. The correct answer is (B) 11 m.

In this problem, Bob is examining the gravitational force acting on a falling object, specifically a 1.0 lb bag of feathers. To determine the distance the feathers have fallen after 1.5 seconds under free fall conditions, we utilize the physics formula for distance traveled during free fall, represented as d = 0.5 * g * t^2, where d is the distance, g is the gravitational acceleration (9.8 m/sec2), and t is the time.

Substitute the given values into the equation, you get d = 0.5 * 9.8 * (1.5)^2. After calculating, it results in approximately 11 meters. Therefore, the bag of feathers has fallen 11 meters after 1.5 seconds, assuming it has reached free fall. This implies that the correct answer is (B) 11 m.

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The bag has traveled approximately 7.4 meters after falling for 1.5 seconds.

To determine the distance the bag has traveled after falling for 1.5 seconds, we can use the equation of motion d = ½gt^2, where d is the distance, g is the gravitational acceleration, and t is the time.

Given that the gravitational acceleration is 9.8 m/sec^2 and the time is 1.5 seconds, we can substitute these values into the equation to calculate the distance:

d = ½ × 9.8 × (1.5)^2

Simplifying the equation, we have:

d = 0.5 × 9.8 × 2.25 = 7.425 m

Therefore, the bag has traveled a distance of approximately 7.4 meters after falling for 1.5 seconds.

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Yes, how can I help you?

The IB Physics course, similar to AP Physics, provides high school students with an in-depth introduction to physics at a college level. Though these courses can prove challenging, as evidenced by a 30% withdrawal rate at ABC High School, they cover critical topics of physics and lay the groundwork for more advanced studies.

The question asks if anyone is taking IB Physics. The International Baccalaureate (IB) Physics course is similar to the Advanced Placement (AP) Physics course. Like AP Physics, the IB Physics course is a challenging program that provides high school students an in-depth study of physics similar to a college introductory course. However, these courses can be quite demanding, as denoted by the withdrawal rate from an elementary physics course in ABC High School being 30 percent for any given term.

In an IB Physics or AP Physics course, you will cover topics such as mechanics, thermodynamics, waves and sound, light and optics, and nuclear physics. The curriculum promotes depth of understanding over breadth of content, and organizes concepts around seven major themes known as the 'Big Ideas'. Despite a fear amongst many of difficult equations or memorizing formulas, these courses serve as a good foundation for future advanced physics courses at the college level.

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Answer:

Reference point

Explanation:

To explain the position of an object, we have to choose some location or point from where we start to observe the position of the object. This point is called reference point.

As we move leftwards from the reference point, the position of the object is taken as negative and if we move rightwards from the reference point, the position of the object is taken as positive.

It depends on what is the reference frame where the velocity of the leaf (6 m/s) is measured.

If it is measured with respect to the creek, then the answer is simply "6 m/s south".

If it is measured with respect to the observer moving toward the leaf, then the velocity of the leaf relative to the ground is actually the sum between the velocity of the leaf relative to the observer (6 m/s south, so 6 m/s) and the velocity of the observer relative to the ground (2 m/s north, so -2 m/s):

[tex]v=v_l +v_o =6 m/s +(-2 m/s)=4 m/s[/tex]

and the direction is south.

Answer:

Incident rays parallel to the principle axis of a concave mirror will reflect through the focal point.

Explanation: