A solid sphere, with a mass of 3 kg, is rolling across a horizontal floor without slipping. The sphere has 8.4 J of total kinetic energy and has a center of mass velocity of 2 m/s. Calculate the rotational kinetic energy of the solid sphere.

Answer: 44.54 m/s

Explanation:

Let's break the problem into horizontal and vertical.

Horizontal:

Here we do not have any force, only a constant horizontal velocity, so we can write:

Vx(t) = 20m/s.

Vertical:

Here we have the gravitational acceleration acting on the rock, then we can write:

Ay(t) = -9.8m/s^2

For the vertical velocity, we need to integrate over time and get:

Vy(t) = (-9.8m/s^2)*t + V0

Where V0 is the initial vertical velocity, but the rock was thrown horizontally, so we do not have an initial velocity in the vertical axis.

Vy(t) = (-9.8m/s^2)*t.

Ok, now we want to know the magnitude of the velocity when t = 2.0s.

The magnitude will be equal to:

V = √( Vx(2s)^2 + Vy(2s)^2)

   = √(  (20m/s)^2 + (-2s*9.8m/s^2)^2) = 44.54 m/s

The magnitude of the velocity after 2 seconds is around 44.54 m/s

Answer:

Explanation:

In this problem we want to solve for the linear acceleration

Given data

radius r= 0.3m

angular acceleration α=17rad/s^2

we know that the expression relating angular acceleration and linear acceleration is given as

a=rα

Substituting we have

a=0.3*17

a=5.1m/s^2

Answer:

A OR C

Nearly A.

Explanation:

Answer:

The coordinates of the 4.0-kg mass must be [tex](x,y) = (-3\,m,-6\,m)[/tex].

Explanation:

We have a system formed by three particles with known masses and locations with respect to origin. The location of the center of mass is calculated by means of weighted means. That is:

[tex]\bar x = \frac{\Sigma\limits_{i=1}^{n}\,x_{i}\cdot m_{i}}{\Sigma\limits_{i=1}^{n}m_{i}}[/tex] (Eq. 1)

[tex]\bar y = \frac{\Sigma\limits_{i=1}^{n}\,y_{i}\cdot m_{i}}{\Sigma\limits_{i=1}^{n}m_{i}}[/tex] (Eq. 2)

Where:

[tex]\bar x[/tex], [tex]\bar y[/tex] - Coordinates of the center of mass of the system, measured in meters.

[tex]x_{i}[/tex], [tex]y_{i}[/tex] - Coordinates of the i-th particle, measured in meters.

[tex]m_{i}[/tex] - Mass of the i-th particle, measured in kilograms.

If we know that [tex]m_{1} = 3\,kg[/tex], [tex]m_{2} = 1\,kg[/tex], [tex]m_{3} = 4\,kg[/tex], [tex]x_{1} = 0\,m[/tex], [tex]x_{2} = 12\,m[/tex], [tex]\bar x = 0\,m[/tex], [tex]y_{1} = 8\,m[/tex], [tex]y_{2} = 0\,m[/tex] and [tex]\bar y = 0\,m[/tex], the location of the 4.0 kg mass is:

[tex]\frac{(3\,kg)\cdot (0\,m)+(1\,kg)\cdot (12\,m)+(4\,kg)\cdot x_{3}}{3\,kg+1\,kg+4\,kg} = 0\,m[/tex]

[tex]12+4\cdot x_{3} = 0[/tex]

[tex]x_{3} = -3\,m[/tex]

[tex]\frac{(3\,kg)\cdot (8\,m)+(1\,kg)\cdot (0\,m)+(4\,kg)\cdot y_{3}}{3\,kg+1\,kg+4\,kg}= 0\,m[/tex]

[tex]24+4\cdot y_{3} = 0[/tex]

[tex]y_{3} = -6\,m[/tex]

The coordinates of the 4.0-kg mass must be [tex](x,y) = (-3\,m,-6\,m)[/tex].

The coordinates of the 4kg mass so that the center of mass of the three-mass system will be at the origin is (-3,-6)

The coordinates of the 3kg mass are (0.0 m, 8.0 m)

and the coordinates for the 1kg mass are  (12 m, 0.0 m)

Let the coordinates of the 4kg mass be (x,y)

The final coordinates of the center of mass of the system are (0,0),

so the equation for x-coordinate is given by:

[tex]0=\frac{3\times0+1\times12+4\times x}{3+1+4}[/tex]

12 + 4x = 0

x = -3

the equation for y-coordinate is given by:

[tex]0=\frac{3\times8+1\times0+4\times y}{3+1+4}[/tex]

24 + 4y = 0

y = -6

So, the coordinates of the 4kg mass are (-3,-6)

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Answer:

200 kilometers per hour =

55.556 meters per second

Explanation:

have a great day

Answer:

200km × 1000m/1km = 200000 m

1h × 60 mins/h × 60sec/min = 3600s

now you divide 200000m/3600s

= 55.55m/s

Answer:

C pollutants

Explanation:

Pollutants are dangerous substances in the ecosystem that are harmful to its organisms. They are contaminants and effluents that leads to pollution in the environment.  

Answer:

c

Explanation:

Answer: they become slower.

Explanation:  because they get pulled together.

Answer:

The atoms are pulled together by attractive forces and become more organized.

Explanation:

Atoms lose energy as a gas changes to a solid. ... Atoms gain energy as a solid changes to a liquid. If atoms energy during a change of state, they are pulled together by attractive forces and become more organized.

Reference by Quizlet.

Explanation:dropped stone hits water:

24.4-4.9t^2=0

t=2.23

stone has fallen 6.6m:

4.9t^2 = 6.6

t = 1.16

So, Jill's thrown stone only has 2.23-1.16=1.07 seconds to hit the water:

24+1.07v-4.9*1.07^2 = 0

v = -17.19 m/s

Both the rocks hit the water at the exact same time, and the initial velocity of Jill's rock will be -19.28 m/s.

A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply said, velocity is the rate of movement in a single direction. Velocity may be used to gauge both the speed of a rocket launching into space and the speed of a car travelling north on a busy freeway.

According to the question, initial velocity will be 0.

By using equation of motion :

Let Jill is x and Jack is y.

s=ut+1/2at² where,

a is acceleration,

u is initial velocity and,

t is the time period.

23.4=(-1/2)(9.8)×t²

t(y)=[tex]\sqrt{(23.4)/(4.9)}[/tex]

=2.185 seconds.

Time taken by Jack's stone that it travel the first 7.2 meters.

t=[tex]\sqrt{(2*7.2)/9.8}[/tex] =1.21 seconds.

So, time taken by stone thrown by jack,

t(Jill)=t(jack)-t

=23.4=-ut(x)-1/2(gt²)(y)

-23.4=(-u×0.975)-(1/2×9.8×(0.975)²)

u= -(23.4-4.6/0.975)

u=-19.28 m/s

Hence, the initial velocity of the Jill's stone will be -19.28 m/s.

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Answer:

Concave mirror

Explanation:

A concave mirror is a type that has the property of converging rays of light that are parallel to the principal axis to a point of focus. Thus, for the convergence of many rays of light (i.e a beam of light) as required in the given question, a concave mirror would serve the purpose. Curved mirrors have various applications in optics.

Answer:

Explanation:

The first train travels at a constant velocity of 80 mph and it takes 5 h to cover the  distance so distance between two station = 80 x 5 = 400 m

second train too takes 5 h to cover the same distance so its average velocity

= total distance / total time

= 400 / 5 = 80 m /h

average velocity = 80 m /h

Answer:

True

Explanation:

Answer:

1730nm

Explanation:

Observed wavelength λ= 1.9 millimeters

Red shift of photons = 1100

Emitted wavelength = λo

Red shift = λ - λo/ λo = 1100

= [(1.9x10^-3 - λo)/ λo] = 1100

= 1.9x10^-3 - λo = 1100 λo

= 1.9x10^-3 = 1100 λo + λo

= 1.9x10^-3 = 1101 λo

We divide through by 1101 to get the value of lambda

1.9x10^-3/1101 = λo

λo = 0.000001726

λo = 1726nm

This is approximately

λo = 1730nm

Thank you!

Answer:

A)90°

Explanation:

ufl.edu A wire of length 27.7 cm carrying a current of 4.11 mA is to be formed into a circular coil and placed in a uniform magnetic field of magnitude 5.85 mT. The torque on the coil from the field is maximized. (a) What is the angle between and the coil's magnetic dipole moment? (b) What is the number of turns in the coil? (c) What is the magnitude of that maximum torque?

(a) What is the angle between and the coil's magnetic dipole moment.

The angle between and the coil's magnetic dipole moment is 90°, because it is perpendicular to the field since there is maximum torgue.

(b) What is the number of turns in the coil?

Answer:

m = 0.172 [kg]

Explanation:

To solve this problem we must use the expression of thermal energy that relates the heat to the mass, the specific heat, and the temperature differential.

Q = m*Cp*(T_f - T_i)

where:

m = mass [kg]

Cp = specif heat = 126 [J/kg*C]

Q = 5000 [J]

T_f = final temperature = 250 [C]

T_i = initial temperature = 20 [C]

m = Q/ (Cp*(T_f - T_i))

m = 5000/ (126*(250 - 20))

m = 0.172 [kg]

Answer:

C. It is nonzero, because the net force is equal to the rate of change of the momentum

Explanation:

Momentum of an object is given as;

P = mv = ft

f = mv/t

or f = P/t

where;

P is the momentum of the object

m is mass of the object

v is velocity of the object

f is the applied force on the object

t is time

From the given equation above; the net force acting on the object is equal to the rate of change of the momentum, thus it is non-zero.

Therefore, the correct option is "C"

C. It is nonzero, because the net force is equal to the rate of change of the momentum.

The net force acting on the object is non-zero, because the net force is equal to the rate of change of the momentum. Hence, option (c) is correct.

The problem is based on the impulse-momentum concept. As per the impulse -momentum concept, the magnitude of impulse produced by an object is equal to the change in momentum. Then the expression is,

[tex]I = \Delta P[/tex]

here,

I is the magnitude of impulse. And its value is,

[tex]I = F \times t[/tex]

t is the impact time or time interval.

F is the magnitude of net force.

[tex]\Delta P[/tex] is the change in momentum.

Solving as,

[tex]I= \Delta P\\\\F \times t= \Delta P\\\\F = \dfrac{\Delta P}{t}[/tex]

Clearly, the net force is dependent of the change in momentum with respect to time. So, on increasing the momentum change with respect to time, the net force will also increase with non-zero value.

Thus, we can conclude that the net force acting on the object is non-zero, because the net force is equal to the rate of change of the momentum. Hence, option (c) is correct.

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Answer:the potential difference Vb − Va = -3 V

Explanation:

The potential difference Vb − Va s given by

Vb − Va=  Capacitance / Charge + current x resistance - Electromotive force

Vb − Va=Q/C + I X R - E

V=Q / C=(12 x 10^-3) / (3 x 10^-3)

=0.012/0.003ss

=4V

alsoV=  1R = 2.0 x 10^-3 x 4 x 10^3

=0.002 X 4000

=8

Vb − Va= 4V + 8V- 15V

= -3V

Therefore, the potential difference Vb − Va = -3 V

Answer:

Explanation:

angular acceleration ω = 8 rad /s²

tangential acceleration a = angular acceleration x radius of circle of rotation

For a point on the end of the rod , radius of circle = L .

tangential acceleration = 8 L .

For  a point a distance L/2 from the end of the rod, radius of circle = L /2 .

tangential acceleration = 8 L/2 = 4 L  .

It is so because angular acceleration will be same for this point , only radius changes .

required ratio = 8L / 4L

= 2.

Answer:

h = 2.15 m

Explanation:

Given that,

Mass of the child, m = 35 kg

The child reaches the bottom at a speed of 6.5 m/s

We need to find the height slide by a frictionless playground slide. Let it is equal to h. Using the conservation of energy to find it as follows :

[tex]\dfrac{1}{2}mv^2=mgh\\\\h=\dfrac{v^2}{2g}\\\\h=\dfrac{(6.5)^2}{2\times 9.8}\\\\h=2.15\ m[/tex]

So, it will slide to a height of 2.15 m

The height slid by the frictionless playground can be calculated by equating the kinetic and potential energy equations which is 2.16 meters

K.E = P.E

K. E = 0.5mv² ; P.E = mgh

0.5mv² = mgh

gh = 0.5v²

h = [(0.5v²) ÷ g]

h = [(0.5 × 6.5²) ÷ 9.8]

h = (21.125 ÷ 9.8)

h = 2.155 m

Therefore, the height slid by a frictionless playground is 2.16 meters

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Answer:

v₂f = 0.16 m/s (to the right)

Explanation:

        [tex]p_{o} = m_{1} * v_{o1} = 0.3 kg * 1.3 m/s (1)[/tex]

        [tex]p_{f} = m_{1} * v_{1f} + m_{2} * v_{2f} = 0.3 kg* (-0.86m/s) + 4.00 kg* v_{2f} (2)[/tex]

        As p₀ = pf, from (1) and (2), we can solve for v2f, as follows:

        [tex]v_{2f} = \frac{0.3kg* (1.3 + 0.86) m/s}{4.00kg} = \frac{0.3kg*2.16m/s}{4.00kg} = 0.16 m/s[/tex]

Answer:

425.1 W

Explanation:

We are given;

Counter mass of elevator; m_c = 940 kg

Cab mass of elevator; m_d = 1200 kg

Distance from rest upwards; d = 35 m

Time to cover distance; t = 3.5 min

Now, this elevator will have 3 forces acting on it namely;

Force due to the counter weight of the elevator; F_c

Force due to the cab weight on the elevator; F_d

Force exerted by the motor; F_m

Now, from Newton's 2nd law of motion,

The force exerted by the motor on the elevator can be given by the relationship;

F_m = F_d - F_c

Now,

F_d = m_d × g

F_d = 1200 × 9.81

F_d = 11772 N

F_c = m_c × g

F_c = 940 × 9.81

F_c = 9221.4 N

Thus;

F_m = 11772 - 9221.4

F_m = 2550.6 N

Now, the average power required of the force the motor exerts on the cab via the cable is given by;

P_m = F_m × v

Where v is the velocity of the elevator.

The velocity is calculated from;

v = distance/time

v = 35/3.5

v = 10 m/min

Converting to m/s gives;

v = 10/60 m/s = 1/6 m/s

Thus;

P_m = 2550.6 × 1/6

P_m = 425.1 W

Answer:

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Explanation:

plz do so it is true

Given :

Force on object moving with constant velocity due to magnetic field is given by :

[tex]\vec{F}=q\vec{v}\times \vec{B}\\\\\vec{F}=-5[ ( \hat{i} + 7\hat{j}) \times ( 10\hat{k})]\\\\\vec{F}=-5[ 10(-\hat{j})+70(\hat{i})]\\\\\vec{F}=50\hat{j}-350\hat{i}\ N[/tex]

Now,

[tex]F = \sqrt{50^2+350^2}\\\\F=353.55\ N[/tex]

Hence, this is the required solution.

A particle with charge q = +5.00 C that is moving with some velocity, then the magnetic force vector on the particle will be 353.55 N.

The phrase "vector" in physics and mathematics is used popularly to refer to some values that cannot be stated by a simple integer (a scalar) or to certain elements of high - dimensional space.

For things like displacements, forces, and velocity can have both a magnitude and direction, vectors were initially introduced in geometry and physics. Similar to how lengths, masses, and time are represented by real numbers, these quantities were represented by geometric vectors.

In some contexts, tuples—finite sequences of numbers with a definite length—are sometimes referred to as vectors.

From the data given in the question,

F = qv × B

F = -5 [(î +7 ĵ) ×(10 k)]

F = 50 ĵ - 350 î N

Now, calculate the force,

F = √50² + 350²

F = 353.55 N.

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Answer:

74 m.

Explanation:

From the question given above, the following data were obtained:

Height (h) = 186 m

Initial velocity (u) = 12 m/s

Horizontal distance (d) =?

Next, we shall determine the time taken for the rock to get to the ground. This can be obtained as follow:

Height (h) = 186 m

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

H = ½gt²

186 = ½ × 9.8 × t²

186 = 4.9 × t²

Divide both side by 4.9

t² = 186/4.9

Take the square root of both side

t = √(186/4.9)

t = 6.16 s

Thus, the time taken for the rock to get to the ground is 6.16 s

Finally, we shall determine the horizontal distance travelled by the rock as follow:

Initial velocity (u) = 12 m/s

Time (t) = 6.16 s

Horizontal distance (d) =?

Horizontal distance (d) = Initial velocity (u) × Time (t)

d = u × t

d = 12 × 6.16

d = 73.92 ≈ 74 m

Therefore, the horizontal distance travelled by the rock is 74 m

Answer:

V2=42.93cm3

Explanation:

According to Gay-Lussac's Law: "The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up."

P1V1=P2V2

Given data

P1=4.25atm

V1=10.1cm³

P2=1atm

V2=?

V2=P1V1/P2

V2=(4.25*10.1)/1

V2=42.93cm3

Answer:

d. collection of photos taken by a person while moving around different places

Answer:

Moving object at equal time intervals

Answer:

9000 J

Explanation:

weight of bullet = 100 g

length of gun barrel = 0.6m

A) determine the work done by the gas on the bullet as the bullet travels the length of the barrel

The work done is an integral of force over distance in this scenario

lets represent the force using some constants ( arbitrary )

Fx = a  + bx + cx^2

where : a = 15000,  b = 10000, c = - 25000

hence work done ( W ) = [tex]ax_{f } + \frac{bx^{2} _{f} }{2} + \frac{cx^{3} _{f} }{3}[/tex]

where ; xf = 0.6

hence work done(W)

= 15000(0.6) + [(10000*0.6^2)/2] + [(-25000*0.6^3)/3]

 = 9000 J