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Question 6

C. 72.1 N

Its simply the newton Third law, whenever two objects interact, they exert equal and opposite forces on each other.

Question 7

D. Maria is incorrect because the cart's velocity has changed

The car is accelerating so, It is not in dynamic equilibrium. Remember that by the Newton Second Law:

F = ma

The cart is in dynamic equilibrium. The correct options for the two question are:

6. C

7. A

6.) Given that a 61.0 kg grocery cart is sitting at rest. And Xavier applied 72.1 Newtons of force on the cart.

According to Newton's third law of motion which state that, in every action, there will be equal and opposite reaction. The magnitude of force That the cart exert back on Xavier's hand will be opposite and equal to the force applied. which is negative 72.1 N

7.) If the grocery cart is moving in a constant velocity, then it will achieve a dynamic equilibrium. In this scenario, the air resistance force balances with the applied force.

Therefore,  Maria is correct because the cart is traveling at a constant velocity while experiencing balanced forces.

Learn more about equilibrium of forces here: https://brainly.com/question/9076091

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 3.8 × 2.5

We have the final answer as

Hope this helps you

Answer:

25 electrons.

Explanation:

In a neutral atom, the number of protons is equal to the number of electrons, therefore there are 25 protons and 25 electrons.

Final Answer: 25 electrons

Explanation/Reasoning:

Hey there!

The number of protons in the nucleus of a neutral atom would have 25 protons. This is because it is equal to the atomic number.

The number of protons is equal to the number of electrons. So for our answer, the number of atoms in a neutral atom will be 25 electrons because the neutral atom had 25 protons.

~I hope I helped you :)~

Answer:

The value is  [tex]I_o = 0.6257 \ kgm^2[/tex]

Explanation:

From the question we are told that  

   The mass of the object is  [tex]m = 4.67 \ kg[/tex]

   The position of the pivot from the center of the mass is  [tex]a = 0.180 \ m[/tex]

   The number of cycles of oscillation  is  [tex]n = 129 \ cycles[/tex]

     The time taken for the total oscillation is t =249 s

Generally the period of the oscillation is mathematically represented as

         [tex]T = \frac{t}{n}[/tex]

=>     [tex]T = \frac{249}{129}[/tex]

=>     [tex]T = 1.9302 \ s[/tex]

Generally the moment of inertia of the object about the end of the suspension  is mathematically represented as

    [tex]I =[ \frac{T}{2 \pi } ]^2 * [m* g * l ][/tex]

=> [tex]I =[ \frac{1.9302}{2 *3.142 } ]^2 * [4.67* 9.8 * 0.180 ][/tex]

=> [tex]I = 0.777 \ kg m^2[/tex]

Generally the moment of inertia of the object with respect to its center of mass about an axis parallel to the pivot axis is mathematically evaluated using the parallel axis theorem as

  =>     [tex]I_o = I- I_p[/tex]

Here  [tex]I_p[/tex] is parallel  axis contribution which is mathematically represented as

        [tex]I_p = m * l^2[/tex]

=>     [tex]I_p = 4.67 * 0.180^2[/tex]

=>     [tex]I_p = 0.1513 \ kg m^2[/tex]

So  

     [tex]I_o = I- I_p[/tex]

=>   [tex]I_o = 0.777 -0.1513[/tex]

=>   [tex]I_o = 0.6257 \ kgm^2[/tex]

Answer:

v = 15.65 m/s

Explanation:

We use conservation of mechanical energy between initial (i) and final (f) states:

Pi + KEi = Pf + KEf

At the top of the cave at the instant the bat starts to fall, there is only potential energy since the bat's velocity is zero.

Pi = m g h = 600 J

and the KEi = 0 J (no velocity)

Knowing the height of the cave's roof (12.8 m) , we can find the mass of the bat:

m = 600 J / (g 12.5) = 4.9 kg

Using conservation of mechanical energy, the final state is:

Pf + KEf = 600 J

with Pf = 0 (just touching the ground)

KEf= 1/2  4.9 (v^2)

and we solve for the velocity:

600 J = 0 + 1/2  4.9 (v^2)

v^2 = 600 * 2 / 4.9 = 244.9

v = 15.65 m/s

Answer:

NOOOOOOO NOT THE PACER TEST!!

Explanation:

MEMORIES OF MIDDLE SCHOOL I'D LIKE TO FORGET

also. LOL "Remember to run in a straight line" BRUH WE KNOW XDXD

Answer:

B. 85.4 N

Explanation:

The tension in the rope at the lowest point of the motion of the ball is antiparallel to the weight of the ball. By Newton's laws we construct the following equation of equilibrium:

[tex]\Sigma F = T - W = \left(\frac{W}{g} \right)\cdot \frac{v^{2}}{L}[/tex] (1)

Where:

[tex]T[/tex] - Tension in the rope, measured in newtons.

[tex]W[/tex] - Weight, measured in newtons.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]v[/tex] - Speed of the ball, measured in meters per second.

[tex]L[/tex] - Length of the rope, measured in meters.

If we know that [tex]W = 60\,N[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]v = 5\,\frac{m}{s}[/tex] and [tex]L = 6\,m[/tex], then the tension in the rope at this point is:

[tex]T = W+\frac{W\cdot v^{2}}{g\cdot L}[/tex]

[tex]T = W\cdot \left(1+\frac{v^{2}}{g\cdot L} \right)[/tex]

[tex]T = (60\,N)\cdot \left[1+\frac{\left(5\,\frac{m}{s} \right)^{2}}{\left(9.807\,\frac{m}{s^{2}} \right)\cdot (6\,m)} \right][/tex]

[tex]T = 85.492\,N[/tex]

Hence, the correct answer is B.

Answer:

Frying an Egg

Explanation:

When chemical bonds are broken or formed, new particles are created. Therefore, frying an egg is a chemical change because it results in the formation of new particles.

Frying an egg is an example of chemical change. Therefore, option (A) is correct.

A chemical change can be described as a change in which a chemical substance is converted into one or more new types of substances. Chemical changes occur through chemical reactions that result in substances with different properties.

Chemical changes are irreversible in nature and are also called permanent changes in which an entirely new substance is formed. We have three kinds of chemical change organic, biochemical and inorganic.

While frying an egg, the egg changes from a fluid to a strong one. The egg changes from a fluid protein into a strong mass.  Actually, the strands of protein extend, permitting the protein to denature by breaking the chemical bonds and formation of a new product.

Therefore, Frying an egg is a chemical change while boiling water, melting butter, and chopping onions are physical changes.

Learn more about chemical change, here:

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Answer:

a

[tex]L = 5.25*10^{7} \ m[/tex]

b

[tex]m = 1 \ kg[/tex]

c

[tex]t = 1.46112000000 *10^{11} \ s[/tex]

Explanation:

From the question we are told that

     Length  is   L  = 52500000 m

      Mass  is    

     Time  is   2435200000    minutes

Generally the proper SI for length is  meters ,

Now converting the given length to proper SI form using the appropriate prefixes we have that

             [tex]L = 5.25*10^{7} \ m[/tex]

Generally the proper SI for mass is  kilograms

converting  grams to kilograms , we have

           [tex]m =\frac{1000}{1000 }[/tex]

=>       [tex]m = 1 \ kg[/tex]

Generally the proper SI for time  is  seconds

converting  minutes  to seconds , we have

        [tex]t = 24352000000* 60[/tex]

=>      [tex]t = 146112000000 \ s[/tex]

Now converting to the  proper SI form using the appropriate prefixes

        [tex]t = 1.46112000000 *10^{11} \ s[/tex]

Correct question is;

What is the difference between Translatory motion and Circular motion.

Answer:

Outlined below

Explanation:

Circular motion is the motion whereby all the particles of a body move along the circumference of a circle while Translatory motion is one in which all particles move in a straight line or a curved fixed part.

Another difference is that in circular motion, the distance moved by all particles vary based on the distance moved from the centre of the circle while in Translatory motion, the distance covered by all particles is equal.

Answer:

Refractive index of the plastic = 1.46

Explanation:

By Snell's law,

[tex]\frac{\text{sin}\theta _{2} }{\text{sin}\theta _{1}}=\frac{n_1}{n_2}[/tex]

Here, [tex]\theta _1[/tex] = Angle of incidence in medium 1 (Plastic)

[tex]\theta_2[/tex] = Angle of refraction in medium 2 (Water)

[tex]n_1[/tex] = Refractive index of medium 1 (Plastic)

[tex]n_2[/tex] = Refractive index of medium 2 (Water)

By substituting values in the formula,

[tex]\frac{\text{sin}(48.7)}{\text{sin}(55.5)}=\frac{1.33}{n_2}[/tex]

[tex]n_2=\frac{1.33\times \text{sin}(55.5)}{\text{sin}(48.7)}[/tex]

    = 1.46

Therefore, refractive index of the plastic = 1.46

Answer:

The angular velocity of the disk is 0.0369 rad/sec.

Explanation:

Convert 0.649 rpm to rad/s

0.649 rpm = 0.649 * (2π/60) = 0.0679rad/sec

From the question,

Summation of final angular momentum equals summation of initial angular momentum

I*w = Io*wo

w = wo (lo/I)

But I = Isand + Io

and Isand = Msand * R²sand

Therefore, w = wo (lo/I) = wo (Io/Msand * R²sand + Io)

Where,

wo = 0.0679rad/sec

Io = 0.101 kg m2

Msand = 0.499 kg

Rsand = 0.415 m

Hence,

w = 0.0679 {0.101/(0.499*(0.415)²+0.101)}

w = 0.0679 (0.101/0.1869)

w = 0.0679*0.544 = 0.0369 rad/sec

The angular velocity of the disk is 0.0369 rad/sec.

Answer: Possibly b

Explanation:

Answer:

The value is  [tex]x = 0.084 \ m[/tex]

Explanation:

From the question we are told that

   The mass of the block is  [tex]m = 0.30 \ kg[/tex]

   The force exerted is  [tex]F = 1.2 \ N[/tex]

   The  frequency is  [tex]f = 1.1 \ Hz[/tex]

Generally the spring constant of the spring is mathematically represented as

       [tex]k = (2 \pi f)^2 * m[/tex]

=>    [tex]k = (2 * 3.142 * 1.1 )^2 * 0.30[/tex]

=>    [tex]k = 14.33 \ N/m[/tex]

Generally the spring constant is also mathematically represented as

      [tex]k = \frac{ F }{x }[/tex]

=>   [tex]14.33 = \frac{ 1.2 }{x }[/tex]

=>   [tex]x = 0.084 \ m[/tex]

Answer:F(of gravity) = MA

F(normal force) = MA * cos(angle)

F = 72 * 9.81 * cos28

Don't have a calculator, so can't really do all the math right there. So just plug that in

Explanation:

i dont really know

Potential energy of a body is the product of its mass, height and acceleration due to gravity. The potential energy of 75 Kg skateboard sitting at 5 meter high is 3675  J.

What is potential energy?

Potential energy of a body is generated by virtue of the position of the body. It is dependent  on the mass of the body and the height at which it is placed and the acceleration due to gravity.

Whereas kinetic energy of an object is a form of energy generated by virtue of the motion of the object. Kinetic energy is dependent on the mass and velocity of the body.

It is given that the mass of the object is 75 Kg and the height from the surface is 5 m. Acceleration due to gravity on earth is 9.8 m/s².Thus, the potential energy is calculated as follows:

p = m g h

 = 75 Kg × 9.8 m/s²  × 5 m

 =  3675   J.

Therefore, the potential energy of the skateboard is  3675  J.

To find more on potential energy, refer here:

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Explanation:

D. I hope i helped it should be right but if it isn't my bad

In the photoelectric effect, an electric current forms when light strikes a metal surface because electrons are knocked off the surface when light strikes it because the light acts as particles, The correct option is D.

It is the process of emission of electrons from the material because of absorption of electromagnetic radiation in form of photons of light waves.

The photoelectric effect explains the particle behavior of the light waves.

The photoelectric effect is responsible when electrons are knocked off the surface when light strikes it because the light acts as particles.

Learn more about the photoelectric effect

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Answer:

Except in the crust, the interior of the Earth cannot be studied by drilling holes to take samples. Instead, scientists map the interior by watching how seismic waves from earthquakes are bent, reflected, sped up, or delayed by the various layers.

Explanation:

At its lowest point, the ball feels a downward force due to its weight of 71.2 N and an upward force of tension from the rope. Its motion is circular, so that the net radial acceleration is felt upward toward the center of the circle.

With a tangential speed of 4.2 m/s at the lowest point, its radial acceleration has magnitude

a = (4.2 m/s)² / (3.8 m) ≈ 4.6 m/s²

Answer:

4417

i think because

mv^2/r is centripetal force

Answer:

I0/4

Explanation:

If the difference is increasedby a factor of two(i.e twice it's original value), then the light intensity happens to get reduced by one-fourth. This means that the light intensity would be:

I0/4

Answer:

true objects in contact are not completely smooth

Notice that both of those points are 3 units below the x-axis. So the line is horizontal ... its slope is zero.

Answer:

First answer to the first question is Two people pulling a rope with the same force in a opposite direction.  The other one would be 2.72N        

Explanation:

Hope this helps you :)

Answer:

C. and D.

C. becuase A is heavier so it will land first

Hello!

For this, first let's calculate time of stop:

t = (V - Vi) / a

Replacing:

t = (0 m/s - 18 m/s) / -5,4 m/s^2

Resolving:

t = -18 m/s / -5,4 m/s^2

t = 3,33 s + 0,25 s = 3,58 s

Now lets calculate distance traveled, with formula:

d = Vi*t + (a*t^2)/2

Replacing:

d = 18 m/s * 3,58 s + (-5,4 m/s^2 * (3,58 s)^2) /2

Resolving:

d = 64,44 m + (-34,604 m)

d = 29,83 m

Then, the vehicle will CRASH

Answer: 176.4 J

Explanation: