What must x be so that the handle end of the bat remains at rest as the bat begins to move? (Hint: Consider the motion of the center of mass and the rotation about the center of mass. Find x so that these two motions combine to give v=0 for the end of the bat just after the collision. Also, note that integration of equation ∑τ⃗ =dL⃗ dt gives ΔL=∫t1t2(∑τ)dt. )

Answer:

The damping ratio= 2.93 × 10^-3 and the natural frequency is 10rad/s

Explanation:

Check attachment

Answer:

i) Mr. Dunn arrives to home first.

ii) 3 min

Explanation:

i. To find who arrives first to home you calculate the time, by using the following formula:

[tex]t=\frac{x}{v}[/tex]

x: distance

v: velocity

Mr. Dunn:

[tex]t=\frac{64.8km}{48km/h}=1.35h[/tex]

Mrs. Dunn:

[tex]t=\frac{81.2km}{58km/h}=1.4h[/tex]

Hence, Mr. Dunn arrives to home first.

ii. To calculate the difference in minutes, you convert hours to minutes:

[tex]1.35h*\frac{60min}{1h}=81min\\\\1.40h*\frac{60min}{1h}=84min\\\\\Delta\ t=(84-81)min=3min[/tex]

the difference between the times is 3min

(i) Mr. Dunn takes less time so he arrives at home first.

(ii) The second person arrives 3 min late.

(i) We have to calculate the time taken to reach home by Mr. Dunn and Mrs. Dunn.

t = x/v

where x is the distance

and v is the velocity

Time taken by Mr. Dunn:

distance x = 64.8 km

speed v  = 48 km/h

t = 64.8 / 48

t = 1.35 h

Time taken by Mrs. Dunn:

distance x = 81.2 km

speed v  = 58 km/h

t' = 81.2 / 58

t' = 1.4 h

Hence, Mr. Dunn arrives at home first.

(ii) To calculate the difference in minutes, you convert hours to minutes:

The time taken by Mr. Dunn in minutes is:

t = 1.35×60 = 81 minutes

The time taken by Mrs. Dunn in minutes is:

t' = 1.4×60 = 84 minutes

the difference between the times is 3min

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Answer:

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

answer: It is inversely proportional to the square of the distance.

Explanation:

for the team

Answer:

A. Battery

B. Iron Core

C. Solenoid

Answer:

SI = 2.31

d = 0.161 m

Explanation:

First, convert km/h to m/s.

12.1 km/h × (1000 m/km) × (1 h / 3600 s) = 3.36 m/s

Find the time.

v = at + v₀

3.36 = (35.0)t + 0

t = 0.0960

Find the value of a.

a = a / g

a = 35.0 / 9.8

a = 3.57

Solve for SI.

SI = (3.57)^(⁵/₂) (0.0960)

SI = 2.31

Solve for d.

v² = v₀² + 2aΔx

(3.36)² = 0² + 2 (35.0) d

d = 0.161

Answer:

B. the Big Bang

Explanation:

Answer:

When the early universe cooled enough for atoms to form, Nucleosynthesis began.

hope it helps!

Answer:

The answer is diffraction

Explanation:

Answer:

The answer is diffraction

Explanation:

I did the test! HOPE THIS HELPS!

Answer:

No. Potatoes will be warmer.

Explanation:

[tex]Q=m\times c\times \Delta T[/tex]

where,

Q = heat taken

m = mass of substance

c = specific heat of substance = ?

ΔT = change in temperature

As we are given that the potatoes have a specific heat of 3430 J/(kg⋅∘C) and raisins have a specific heat of  1630 J/(kg⋅∘C). It implies that substance take more heat when higher the value of specific heat i.e more warmer will be the substance. Thus, the potatoes will be more warmer as compared to raisins.

Therefore, No. Potatoes will be warmer.

Answer:

Work done, W = 0.72 J

Explanation:

From the given graph, it is clear that the force applied is 6 N if the extension is 0.12 m.

Work done is given by :

W = Fx

[tex]W=6\ N\times 0.12\ m\\\\W=0.72\ J[/tex]

So, 0.72 J of work is done to push the object 0.12 m

Answer:

Snell's law says that

n1*sin(a1) = n2*sin(a2)

n1 < n2

son n2/n1 > 1

then:

sin(a1) = (n2/n1)sin(a2)

the maximum possible value of sin(x) is 1 when x =90°

total internal reflection means that a2= 90°

but as the coefficient that is multiplying sin(a2) is bigger than 1, we can not have a2 = 90°, because the right side will be greater than 1 and the left side can not be bigger than 1, so we can not have a2 = 90°, so we can not have total internal reflection

The maximum possible value of sin(x) is 1 when x =90°total internal reflection means that a2= 90°.

Snell's law asserts that the ratio of the sines of the angle of incidence 1 and angle of refraction 2 for a given set of media is equal to the ratio of phase velocities (v1 / v2) in the two media, or equivalently, the refractive indices (n2 / n1).

If n1*sin(a1) = n2*sin(a2) and n1 n2 son n2/n1 > 1 according to Snell's law, then:

(n2/n1)sin = sin(a1) (a2)

When x =90°, the maximum feasible value of sin(x) is 1.

Total internal reflection indicates a2=90°, but because the coefficient multiplying sin(a2) is more than 1, we can't have a2 = 90° because the right side will be greater than 1 and the left side will be smaller than 1, therefore we can't have a2 = 90°. so we dont have total reflection.

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Answer:

a) Beth will reach before Alan

b)Beth has to wait 20 min for Alan to arrive

Explanation:

let 'd' be distance b/w Los Angeles and San  Francisco i.e 400 mi

considering ,

Alan's speed [tex]v_A[/tex]=50mph

Beth's speed [tex]v_B[/tex]=60mph

->For Alan:

The time required [tex]t_A[/tex]= d/[tex]v_A[/tex]= 400/50 => 8h

-> For beth:

The time required [tex]t_B=\frac{d}{v_B} =\frac{400}{60} =>6\frac{2}{3} h[/tex] => 6h 40m

Alan will reach at 8:00 a.m +8h = 4:00p.m.

Beth will reach at 9:00 a.m +6h 40m= 3:40p.m.

a) Beth will reach before Alan

b)Beth has to wait 20 min for Alan to arrive

Answer:An electrical circuit that is not complete.

Explanation:

Answer:

An atom is the smallest constituent unit of ordinary matter that constitutes a chemical element. Every solid, liquid, gas, and plasma is composed of neutral or ionized atoms. Atoms are extremely small; typical sizes are around 100 picometers.Explanation:

An atom is the smallest constituent unit of ordinary matter that constitutes a chemical element.

Every solid, liquid, gas, and plasma is composed of neutral or ionized atoms. Atoms are extremely small; typical sizes are around 100 picometers.

Each atom is made up of a nucleus and one or more electrons that are linked to it. One or more protons and a significant number of neutrons make up the nucleus. Only the most prevalent type of hydrogen is neutron-free.

Atoms that are neutral or ionized make up every solid, liquid, gas, and form of plasma. Atoms are incredibly tiny, measuring typically 100 picometers across. The nucleus of an atom contains more than 99.94% of its mass.

Therefore, An atom is the smallest constituent unit of ordinary matter that constitutes a chemical element.

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Answer:

4.The atoms are vibrating in place

Explanation:

The answer is;  The atoms are vibrating in place

We know that, molecules in the crystal have a definite position in the crystal and are bonded to each other by electrostatic forces. However, since the molecules have some energy, they vibrate in their positions. Their energy, however, is not high enough to cause them to overcome the strong bonding (unless the crystal is heated or the atoms are irradiated).

I think the answer is A

Answer:

The Object will immediately begin moving toward the left

Explanation:

Because the force of thirteen is greater than ten and applied to the opposite side

Answer:

  L =( 5.17 10⁻⁶ v) m

Explanation:

This is a diffraction exercise, which is described by the equation

           a sin θ = n λ

where a is the width of the slit a = 200 nm = 200 10⁻⁹ m, n is the order of diffraction n = 1 and lan the wavelength in this case we use the DeBroglie relation to find the wavelength

                 λ  = h´ / p = h´ / mv

with h´ = h / 2π

let's use trigonometry for distance,

            sin θ = y / L

             tan θ = sin θ / cos θ

since these experiments the angle is very small, we approximate

            tan θ = sin θ = y / L

we substitute

             a y / L = n  λ  

             L = a y / n  λ  

             L = a y 2π mv / n h

we calculate

             L = 200 10⁻⁹ 0.300 10⁻² 2π 9.1 10⁻³¹ v / (1   6.63 10⁻³⁴)

             L = 517.44 10⁻⁸ v m

             L =( 5.17 10⁻⁶ v) m

for a specific value we must know the speed of the electrons

Answer:

a)V=7 m/s

b)a=3t²-3x² t³ +3 x ⁵

Explanation:

Given that

[tex]\dfrac{dx}{dt}=t^3-x^3[/tex]

a)

We know that velocity V is given as follows

[tex]V=\dfrac{dx}{dt}[/tex]

[tex]V=t^3-x^3[/tex]

At t= 2 s and x= 1 m

[tex]V=2^3-1^3=7 m/s[/tex]

V=7 m/s

b)

Acceleration a is given as follows

[tex]a=\dfrac{dV}{dt}[/tex]

[tex]a=3t^2-3x^2\dfrac{dx}{dt}[/tex]

Now by putting the values

[tex]a=3t^2-3x^2\times (t^3-x^3)[/tex]

a=3t²-3x² t³ +3 x ⁵

Therefore the acceleration of a particle will be 3t²-3x² t³ +3 x ⁵.

Answer:

v_max = (1/6)e^-1 a

Explanation:

You have the following equation for the instantaneous speed of a particle:

[tex]v(t)=ate^{-6t}[/tex]   (1)

To find the expression for the maximum speed in terms of the acceleration "a", you first derivative v(t) respect to time t:

[tex]\frac{dv(t)}{dt}=\frac{d}{dt}[ate^{-6t}]=a[(1)e^{-6t}+t(e^{-6t}(-6))][/tex]  (2)

where you have use the derivative of a product.

Next, you equal the expression (2) to zero in order to calculate t:

[tex]a[(1)e^{-6t}-6te^{-6t}]=0\\\\1-6t=0\\\\t=\frac{1}{6}[/tex]

For t = 1/6 you obtain the maximum speed.

Then, you replace that value of t in the expression (1):

[tex]v_{max}=a(\frac{1}{6})e^{-6(\frac{1}{6})}=\frac{e^{-1}}{6}a[/tex]

hence, the maximum speed is v_max = ((1/6)e^-1)a

Answer:

(b) 0.012 m/s

Explanation:

Given that:

mass (m₁) of the drop of water = 0.30 g = 3.0 × 10⁻⁴ kg

mass (M₂) of the fish = 65 g =  65 × 10⁻³ kg

speed (v₁) of the water = 2.5 m/s

speed (v₂) of the archerfish = ??

By conservation of momentum

m₁v₁ - M₂v₂ = 0

m₁v₁  = M₂v₂

v₂ = m₁v₁ / M₂

v₂ =  ( 3.0 × 10⁻⁴ × 2.5 ) /  65 × 10⁻³

v₂ = 0.0115 m/s

v₂ ≅ 0.012 m/s

Therefore, the speed of the archerfish immediately after it expels the drop of water 0.012 m/s.

Answer:

The divers pull in their limbs and curl up their bodies because doing so decreases their moment of inertia and increases their angular velocity

Explanation:

The conservation of angular momentum states that in a rotational system, the initial angular momentum is equal to the final angular momentum if no torque acts on it.

Angular momentum is equal to the product of the moment of inertia about its axis and the angular velocity

Angular momentum = Iω[tex]\\[/tex]

where I = moment of inertial = mass x [tex]radius^{2}[/tex]

I = m[tex]r^{2}[/tex]

angular momentum = m[tex]r^{2}[/tex]ω

since angular momentum is constant, one can see that decreasing the radius of rotation about the body by curling in the limb will cause the moment of inertia to decrease and the angular velocity to increase.

NB: mass of the body is constant.

Answer:

Total internal reflection (TIR) is the phenomenon that involves the reflection of all the incident light off the boundary. TIR only takes place when both of the following two conditions are met: the light is in the more dense medium and approaching the less dense medium.

Explanation: Hope i helped!!!

Answer:30450000N

Explanation:

Mass=2030000

Acceleration=15 m/s^2

Force=mass x acceleration

Force=2030000 x 15

Force=30450000 N

The force required to accelerate the space shuttle is equal to 3.04 × 10⁷ N.

Force acting on a body can be described as the influence that can change the state of the body from motion or rest and vice versa. The S.I. unit of force can be denoted as Newton (N) and is a vector parameter.

Force has the ability to change the direction and speed of moving objects. The mathematical expression of the 2nd law of motion for force can be written as:

F = ma

Given the mass of the space shuttle, m = 2030000Kg = 2.03 × 10⁶ Kg

The acceleration of the space shuttle, a= 15 m/s²

The force needed to accelerate a space shuttle by 15 m/s² is equal to:

F = ma =  2.03 × 10⁶ × 15 = 3.04 × 10⁷ N

Therefore, the force needed to accelerate a space shuttle is 3.04 × 10⁷ N.

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Answer:

a) 1504.8 J

b) 991.76 J

c) 0J

d) 0J

Explanation:

(a) The work done by the force P on the box is given by the following formula:

[tex]W_P=Px[/tex]

P: applied force = 171N

x: distance in which the for P is applied = 8.80m

you replace the values of P and x and obtain:

[tex]W_P=(171N)(8.80m)=1504.8J[/tex]

(b) The work don by the friction force is:

[tex]W_f=F_fx=\mu N x=\mu Mg x[/tex]

μ = coefficient of kinetic friction = 0.250

M: mass of the box = 46.0kg

g: gravitational constant = 9.8 m/s^2

[tex]W_f=(0.250)(46.0kg)(9.8m/s^2)(8.80m)=991.76J[/tex]

(c) The Normal force is

[tex]N=Mg=(46.0kg)(9,8m/s^2)=450.8N[/tex]

but this force does not do work on the box because the direction is perpendicular to the direction of the force P.

[tex]W_N=0J[/tex]

(d) the same as before:

[tex]W_g=0J[/tex]

Answer:

Explanation:

Let masses of astronaut be m₁  = 60 kg and m₂ = 100 kg

m₁ is at y₁ = 0 and m₂ is at y₂ = - 10 m

We have to find center of mass .

Ycm = m₁y₁ +  m₂y₂ / ( m₁ + m₂ )  ,

Ycm = m₁ x 0 +  100 x -10 / ( 60 + 100 )

= [tex]\frac{-1000 }{160}[/tex] m

= - 6.25 m .

center of mass y = - 6.25 m .

B. Formation of new stars

This question is incomplete; here is the complete question:

A phoneme is the largest unit of sound in a word. Please select the best answer from the choices provided

A. T

B. F

The correct answer to this question is F (False)

Explanation:

The word "phoneme" is used to refer to the minimal unit of sound in words, and therefore in language. For example, the first phoneme in the word "man" is "m". These units of sound are essential in language because they make each word unique in meaning and sound. For example, "fan" and "man" are different due to the phonemes "m" and "f". According to this, the phone is not the largest unit of sound but the smallest unit.

Answer: quiz

1.c

2. false

3. true

4. false

5. false

6. false

7. true

8. c

9. true

10. true

Explanation:

100%

Answer:

it can only travel through matter

Explanation:

the mechanical wave can be any type of matter

Answer:

We shall consider two properties:

1. Temperature difference

2. Thermal conductivity of the material

Use a cylindrical rod of a given material (say steel) which is insulated around its circumference.

One end of the rod is dipped in a large reservoir of water at 100 deg.C and the other end is dipped in water (with known volume) at 40 deg. C. The cold water if stored in a cylinder which is insulated on all sides. A thermometer reads the temperature of the cold water as a function of time.

This experiment will show that

(a) heat flows from a region of high temperature to a region of lower temperature.

(b) The thermal energy of a body increases when heat is added to it, and its temperature will rise.

(c) The thermal conductivity of water determines how quickly its temperature will rise. If mercury replaces water in the cold cylinder, its temperature will rise at a different rate because its thermal conductivity is different.

Explanation:

The average speed of a bus traveling a distance of 15.0 km in 45.0 min is 20 km/hour.

The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time, making it a scalar quantity.

The distance travelled by an object in a time interval is divided by the length of the interval to determine its average speed.

Distance travelled by the bike = 15.0 km

Time taken by the object = 45.0 minute = (45.0 ÷ 60) hour = 0.75 hour

Hence, the average speed of the object = distance travelled / time taken

= 15.0 km/0.75 hour

= 20 km/hour,

Therefore, the average speed of a bus traveling a distance of15.0 km in 45.0 min is 20 km/hour.

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