How high of a hill should an 80-kg person climb to expend 40,000 joules of energy?

A. 4.1 km
B. 4.9 km
C. 51 m
D. 500 m

Answer:

The distance the bullet will miss the target is 1.13 m.

Explanation:

Given;

Initial velocity of the bullet = 250 m/s

Distance of the target = 120 m

Time of motion;

t = 120 / 250

t = 0.48 s

During this time the bullet is under the gravitational pull and the distance it will miss the target is given by;

Y = V₀y + ¹/₂gt²

where;

V₀y is the initial vertical velocity = 0

Y = 0+ ¹/₂gt²

Y = ¹/₂(9.8)(0.48)²

Y = 1.13 m

Therefore, the distance the bullet will miss the target is 1.13 m.

Answer:

m = 1

Explanation:

K.E = 8J

v = 4m/s

m = ?

Now,

K.E = 1÷2mv^2

8 = 1÷2 × m × (4)^2

8 = 1÷2 × m × 16

8 = m × 8

m × 8 = 8

m = 8 ÷ 8 = 1

m = 1

K.E. = 1÷2mv^2

K.E = 1÷2 × 1 × 4^2

K.E. = 8J

-TheUnknownScientist

Answer:

Option 3: -48 cm

Explanation:

We are given:

refractive index; n = 1.5

radius of curvature; r2 = 24 cm

Formula for the focal length is given as;

1/f = (n - 1) × [(1/r1) - (1/r2)]

As r1 tends to infinity, 1/r1 = 0

Thus,we now have;

1/f = (n - 1) × (-1/r2)

Plugging in the relevant values;

1/f = (1.5 - 1) × (-1/24)

1/f = -0.02083333333

f = -1/0.02083333333

f = -48 cm

Answer:

free fall is any motion of a body where gravity is the only force acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it

Explanation:

hope this helped

Answer:A freefall is what you experience when you go skydiving and that is because you are falling out of the sky

Explanation:

Answer:

[tex]t=0.0107\ \text{s}[/tex]

Explanation:

[tex]x=10\cos(6t)[/tex]

Now [tex]x=8\ \text{cm}[/tex]

Substituting the value of [tex]x[/tex] in the equation we get

[tex]8=10\cos6t[/tex]

[tex]\Rightarrow 0.8=\cos6t[/tex]

[tex]\Rightarrow \cos^{-1}0.8=6t[/tex]

[tex]\Rightarrow t=\dfrac{\cos^{-1}0.8}{6}[/tex]    the values here are used found in radians

[tex]\Rightarrow t=0.0107\ \text{s}[/tex]

So, at [tex]t=0.0107\ \text{s}[/tex] the value of [tex]x=8\ \text{cm}[/tex].

Answer:

answer is 11.76 meter

Explanation:

use 2nd equation of motion

S=ut+1/2at^2

Answer:

The speed must change by [tex]\frac{1}{\sqrt{2}}[/tex] factor in order to have the same radial acceleration.

Explanation:

The radial or centripetal acceleration is given by:

[tex] a_{c} = \frac{v^{2}}{r} [/tex]

Where:

v: is the speed = v₀

r: is the radius = r₀

[tex] a_{c} = \frac{v_{0}^{2}}{r_{0}} [/tex]    (1)

If the radius is now equal to half the initial radius the speed must be:

[tex]a_{c} = \frac{v^{2}}{r_{0}/2}[/tex]    (2)

By equating equation (1) and (2):

[tex] \frac{v_{0}^{2}}{r_{0}} = \frac{v^{2}}{r_{0}/2} [/tex]  

[tex]v^{2} = \frac{v_{0}^{2}}{2}[/tex]

[tex] v = \frac{v_{0}}{\sqrt{2}} [/tex]      

Therefore, the speed must change by [tex]\frac{1}{\sqrt{2}}[/tex] factor in order to have the same radial acceleration.      

I hope it helps you!                      

Answer:

The correct solution will be "12.0 A".

Explanation:

The given values are:

[tex]N_p= 500 \ turn[/tex]

[tex]N_s= 200 \ turn[/tex]

[tex]I_s= 3.0 \ A[/tex]

By using the transformer formula, we get

⇒ [tex]\frac{N_p}{N_s} =\frac{I_s}{I_p}[/tex]

⇒ [tex]I_p = I_s\times \frac{N_s}{N_p}[/tex]

On substituting the given values, we get

⇒      [tex]=3.0 \ A\times \frac{2000}{500}[/tex]

⇒      [tex]=12.0 \ A[/tex]

This question is incomplete, the complete question;

The L-ft ladder has a uniform weight of W lb and rests against the smooth wall at B. θ = 60. If the coefficient of static friction at A is μ = 0.4.

Determine the magnitude of force at point A and determine if the ladder will slip. given the following; L = 10 FT, W = 76 lb

Answer:

- the magnitude of force at point A is 79.1033 lb

- since FA < FA_max; Ladder WILL NOT slip

Explanation:

Given that;

∑'MA = 0

⇒ NB [Lsin∅] - W[L/2.cos∅] = 0

NB = W / 2tan∅ -------let this be equation 1

∑Fx = 0

⇒ FA - NB = 0

FA = NB

therefore from equation 1

FA = NB = W / 2tan∅

we substitute in our values

FA = NB = 76 / 2tan(60°) = 21.9393 lb

Now ∑Fy = 0

NA - W = 0

NA = W = 76 lb

Net force at A will be

FA' = √( NA² + FA²)

= √( (W)² + (W / 2tan∅)²)

we substitute in our values

FA' = √( (76)² + (21.9393)²)

= √( 5776 + 481.3328)

= √ 6257.3328

FA' = 79.1033 lb

Therefore the magnitude of force at point A is 79.1033 lb

Now maximum possible frictional force at A

FA_max = μ × NA

so, FA_max = 0.4 × 76

FA_max = 30.4 lb

So by comparing, we can easily see that the actual friction force required for keeping the the ladder stationary i.e (FA) is less than the maximum possible friction available at point A.

Therefore since FA < FA_max; Ladder WILL NOT slip

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 = 2 × 5

We have the final answer as

Hope this helps you

Answer:

True

Explanation:

have a good day:)

Answer: This statement is True

Answer:

19.01 N

Explanation:

F = Force being applied to the crate = 45 N

[tex]\theta[/tex] = Angle at which the force is being applied = [tex]65^{\circ}[/tex]

Horizontal component of force is given by

[tex]F_x=F\cos\theta\\\Rightarrow F_x=45\times \cos65^{\circ}\\\Rightarrow F_x=19.01\ \text{N}[/tex]

The horizontal component of the force acting on the crate is 19.01 N.

Answer:

62

Explanation:

it doesn't need explanation

Answer:

The hotter object radiate more power than the cooler object 15 times i.e 15σeA[tex]T^{4}[/tex]

Explanation:

From Stefan's law, an object would radiate power with respect to its temperature.

i.e Radiative power, Q = σeA[tex]T^{4}[/tex]

where Q is the radiative power, σ is the constant, e is the emissivity of the object, A is the area of the object and T is the temperature.

Let the temperature of the cooler object be represented by T.

So that its radiative power = σeA[tex]T^{4}[/tex]

Given that the temperature of the hotter object is twice as large as that of the cooler object.

Temperature of hotter object = 2T

So that its radiative power = σeA[tex](2T)^{4}[/tex]

                                         = 16σeA[tex]T^{4}[/tex]

Radiative power difference between the two objects = 16σeA[tex]T^{4}[/tex] - σeA[tex]T^{4}[/tex]

                                                                                        = 15σeA[tex]T^{4}[/tex]

The hotter object radiate more power than the cooler object 15 times.

The hotter object radiates 15 times more power  than the power of cooler object.

Absolute Temperature of one object = [tex]T_1[/tex]

Absolute Temperature of second object =[tex]T_2[/tex] = [tex]2T_1[/tex]

The Power emitted by the an object is given by the equation (1)

[tex]P= A\epsilon \sigma\;T^4[/tex].......(1)

Equation (1) is called as Stephan Boltzmann Law  

Where

P = Power emitted by the object in Joule

A = Surface area of the object

[tex]\epsilon[/tex] =  Emissivity of the object

T =  Absolute Temperature

Let us consider emissivities are equal

[tex]So \; P_1/P_2 = T_1^4/T_2^4\\[/tex]  ( Areas of both objects are equal)

[tex]P_1/P_2= T_1^4/16T1^4= 1/16[/tex]

[tex]P_2= 16 P_1[/tex]

Difference in Power = [tex]16P_1- P_1[/tex] = [tex]15P_1[/tex]

So the hotter object radiate 15 times more power  than the power of cooler object.

For more information please refer to the link below

https://brainly.com/question/23188212

Answer: 8 meters per second

Explanation: If you add 60 to 20 you get 80 meters and since he ran those 80 meters in 10 seconds you divide 80 by ten and get 8 and then you get 8m/s

Answer:

Edwin Hubble found that galaxies are constantly moving away from us. According to his observations with the Hubble Space Telescope, galaxies are moving at different speeds. This shows that the universe is expanding. The farther away a galaxy is, the faster it is moving away. Found this on google hope this helps.

Answer:

A) the universe started at a central point

Explanation:

taking the quiz on eg. :))

Explanation:

The dog was stationary at segment c

Answer:

I don't know if I'm wrong but I'm pretty sure stationary means that the thing is still. I would go with C And maybe D????

Answer:

A. cause i just took the test

Explanation:

Answer:

its A

Explanation:

no explanation is needed, just trust me.

Answer:

1 cm/s²

Explanation:

I just took the quiz

The asteroid 234 Ida has a mass of about 4×1016 kg and an average radius of about 16 km. The acceleration due to gravity will be 1.04 cm/s². Hence, option A is correct.

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s² is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on the earth's surface is 9.8 m/s².

The formula for the acceleration due to gravity is g=GM/r².

According to the question, the given values are :

Mass, M = 4 × 1016 kg or

M = 4 × 10¹⁶.

Radius, r = 16 km or,

r = 16000 meter.

G = 6.67 × 10⁻¹¹ Nm²/kg²

g = (6.67 × 10⁻¹¹ ) (4 × 10¹⁶) / 16000²

g = 0.0104 m/s² or,

g = 1.04 cm/s².

Hence, the acceleration due to gravity will be 1.04 m/s²

To get more information about Acceleration due to gravity :

https://brainly.com/question/13860566

#SPJ2

Answer:

J = 1800 kg-m/s

Explanation:

Given that,

Mass of a boy, m = 150 kg

Initial velocity of a boy, u = 12 m/s

Finally, it stops, v = 0

We need to find the impulse is required to produce this change in momentum. We know that impulse is equal to the change in momentum. So,

[tex]J=m(v-u)\\\\=150\times (0-12)\\\\=-1800\ kg-m/s\\\\|J|=1800\ kg-m/s[/tex]

So, the impulse is equal to 1800 kg-m/s

Answer:

  t = 0.6933 s

Explanation:

This is a rotational kinematics exercise, let's find the angular acceleration of the wheel

          w² = w₀² + 2 α θ

          α = (w² - w₀²) / 2 θ

Let's reduce the angles to the SI system

         θ  = 16 rev (2π rad / 1 rev) = 32π rad

let's calculate

          α = (105² - 185²) / (2 32π)

          α = -115.39 rad / s²

now let's use the relation

           w = w₀ + α t

           t = (w- w₀) /α

           t = (105 - 185) / (- 115.39)

           t = 0.6933 s

Answer:

Work done is [tex]\frac{3}{2}[/tex]k[tex]x^{2}[/tex].

Explanation:

The work done by the spring is the same as the potential energy stored in the spring.

So that,

work done = potential energy = [tex]\frac{1}{2}[/tex] k[tex]x^{2}[/tex]

where k is the spring constant of the material of the spring, and x is the compression.

When the spring is compressed by x;

work done = [tex]\frac{1}{2}[/tex] k[tex]x^{2}[/tex]

When the spring is compressed by 2x;

work done = [tex]\frac{1}{2}[/tex] k[tex](2x)^{2}[/tex]

                  = [tex]\frac{1}{2}[/tex] k(4[tex]x^{2}[/tex])

                  = 2k[tex]x^{2}[/tex]

Therefore,

The work done the second time more than the first = 2k[tex]x^{2}[/tex] - [tex]\frac{1}{2}[/tex] k[tex]x^{2}[/tex]

                                                                                = [tex]\frac{3}{2}[/tex]k[tex]x^{2}[/tex]

The work done the second time more than the first is [tex]\frac{3}{2}[/tex]k[tex]x^{2}[/tex].

Spring work is equivalent to the effort done to extend the spring, Work did you do the second time than the first time will be  [tex]\rm \frac{3}{2} Kx^2[/tex].

Spring work is equivalent to the effort done to extend the spring, which is dependent on both the spring constant k and the distance stretched.

The potential energy stored as a result of the deformation of an elastic item, such as spring stretching, is referred to as elastic potential energy.

Work done by spring = potential energy

[tex](PE)_{spring }= \frac{1}{2} Kx^2[/tex]

Case 1

spring is compressed by x

[tex](PE)_1{spring }= \frac{1}{2} Kx^2[/tex]

Case 2

spring is compressed by 2x

[tex]\rm (PE)_2{spring }= \frac{1}{2} K(2x)^2\\\\\rm (PE)_2{spring }= \frac{1}{2}\times 4K(x)^2\\\\\rm (PE)_2{spring }= 2K(x)^2[/tex]

The difference in the potential energy is found by;

[tex](PE)_2-(PE)_1=2Kx^2-\frac{1}{2} Kx^2=\frac{3}{2} Kx^2[/tex]

Hence spring work did you do the second time than the first time will be [tex]\rm \frac{3}{2} Kx^2[/tex].

To learn more about the spring work refer to the link;

https://brainly.com/question/3317535

Answer:

[tex]2.78\times 10^{-35}\ \text{kg m/s}[/tex]

[tex]6.178\times 10^{-34}\ \text{m/s}[/tex]

[tex]0.31\times 10^{-4}\ \text{m/s}[/tex]

Explanation:

[tex]\Delta x[/tex] = Uncertainty in position = 1.9 m

[tex]\Delta p[/tex] = Uncertainty in momentum

h = Planck's constant = [tex]6.626\times 10^{-34}\ \text{Js}[/tex]

m = Mass of object

From Heisenberg's uncertainty principle we know

[tex]\Delta x\Delta p\geq \dfrac{h}{4\pi}\\\Rightarrow \Delta p\geq \dfrac{h}{4\pi\Delta x}\\\Rightarrow \Delta p\geq \dfrac{6.626\times 10^{-34}}{4\pi\times 1.9}\\\Rightarrow \Delta p\geq 2.78\times 10^{-35}\ \text{kg m/s}[/tex]

The minimum uncertainty in the momentum of the object is [tex]2.78\times 10^{-35}\ \text{kg m/s}[/tex]

Golf ball minimum uncertainty in the momentum of the object

[tex]m=0.045\ \text{kg}[/tex]

Uncertainty in velocity is given by

[tex]\Delta p\geq m\Delta v\geq 2.78\times 10^{-35}\\\Rightarrow \Delta v\geq \dfrac{2.78\times 10^{-35}}{m}\\\Rightarrow \Delta v\geq \dfrac{2.78\times 10^{-35}}{0.045}\\\Rightarrow \Delta v\geq 6.178\times 10^{-34}\ \text{m/s}[/tex]

The minimum uncertainty in the object's velocity is [tex]6.178\times 10^{-34}\ \text{m/s}[/tex]

Electron

[tex]m=9.11\times 10^{-31}\ \text{kg}[/tex]

[tex]\Delta v\geq \dfrac{\Delta p}{m}\\\Rightarrow \Delta v\geq \dfrac{2.78\times 10^{-35}}{9.11\times 10^{-31}}\\\Rightarrow \Delta v\geq 0.31\times 10^{-4}\ \text{m/s}[/tex]

The minimum uncertainty in the object's velocity is [tex]0.31\times 10^{-4}\ \text{m/s}[/tex].

Answer:

The largest possible range of the projectile is 163.27 m.

Explanation:

Given;

launch speed, u = 40 m/s

angle of projection, θ; between 0⁰ and 90⁰

The range of a projection is given as;

[tex]R = \frac{u^2sin(2\theta )}{g}[/tex]

The largest possible range will occur at 45 degrees angle of projection;

[tex]R = \frac{u^2sin(2\theta )}{g} \\\\R = \frac{(40)^2sin(2\ \times \ 45^0 )}{9.8}\\\\R = \frac{(40)^2sin( 90^0 )}{9.8}\\\\R = \frac{(40)^2( 1 )}{9.8} \\\\R = 163.27 \ m\\\\[/tex]

Therefore, the largest possible range of the projectile is 163.27 m.

Answer:

[tex]\mu=0.75[/tex]

Explanation:

Given that,

Force acting on an object, F = 30 N

Mass of the object, m = 4 kg

It is moving with a constant velocity of 2 m/s across a level surface.

We need to find the coefficient of friction  between the object and the surface. Let it is μ. Force in terms of coefficient of friction  is given by :

F = μ N, Where N is normal force, N = mg

[tex]\mu=\dfrac{F}{mg}\\\\\mu=\dfrac{30}{4\times 10}\\\\\mu=0.75[/tex]

So, the coefficient of friction  between the object and the surface is 0.75.

An energy of [tex]4.171\times 10^{10}[/tex] joules to move a 1000-kg object from the Earth's surface to an altitude twice the Earth's radius.

Since the object must be moved away to a distance greater than the radius of the Earth, then change in gravitational potential energy must be based on Newton's Law of Gravitation.

By the Work-Energy Theorem, the work ([tex]W[/tex]), in joules, done on the object is equal to the change in gravitational potential energy ([tex]U_{g}[/tex]), in joules:

[tex]W = U_{g}[/tex] (1)

[tex]W = -G\cdot m\cdot M\cdot \left(\frac{1}{r_{f}}-\frac{1}{r_{o}} \right)[/tex] (1b)

Where:

If we know that [tex]G = 6.674\times 10^{-11}\,\frac{m^{3}}{kg\cdot s^{2}}[/tex], [tex]m = 1000\,kg[/tex], [tex]M = 5.972\times 10^{24}\,kg[/tex], [tex]r_{o} = 6.371\times 10^{6}\,m[/tex] and [tex]r_{f} = 19.113\times 10^{6}\,m[/tex], then the energy required to move the object from the Earth's surface is:

[tex]W = -\left(6.674\times 10^{-11}\,\frac{m^{3}}{kg\cdot s^{2}} \right)\cdot (1000\,kg)\cdot (5.972\times 10^{24}\,kg)\cdot \left[\frac{1}{19.113\times 10^{6}\,m} - \frac{1}{6.371\times 10^{6}\,m} \right][/tex][tex]W = 4.171\times 10^{10}\,J[/tex]

An energy of [tex]4.171\times 10^{10}[/tex] joules to move a 1000-kg object from the Earth's surface to an altitude twice the Earth's radius.

We kindly invite to check this question on gravitational potential energy: https://brainly.com/question/19768887

Answer:

The angular displacement of the blade is 576,871.2 radians

Explanation:

Given;

angular speed of the Helicopters rotor blades, ω = 510 rpm (revolution per minute)

time of motion, t = 3 hours

The angular speed of the Helicopters rotor blades in radian per second is given as;

[tex]\omega = \frac{510 \ rev}{mins} *\frac{2 \pi \ rad}{1 \ rev} *\frac{1 \ min}{60 \ s}\\\\\omega = 53.414 \ rad/s[/tex]

The angular displacement in radian is given as;

θ = ωt

where;

t is time in seconds

θ = (53.414)(3 x 60 x 60)\\

θ = 576,871.2 radians

Therefore, the angular displacement of the blade is 576,871.2 radians