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natulia [17]
1 year ago
10

A 25kg child resting at the top of a 2 meter slide has how much potential energy?

Physics
1 answer:
levacccp [35]1 year ago
3 0

Potential energy of a child at the top is 490 J.

Potential energy, U = mgh

U = potential energy

m  = mass of an object, given = 25kg

g = acceleration due to gravity, given = 9.8 m/s^{2}

h = height of an object, given = 2 meter

Put the values in potential energy formula, U = mgh

U = mgh

U = 25 × 9.8 × 2

U = 490 J

Hence, Potential energy of a child at the top is 490 J.

Potential energy is the  type of energy, which is product of mass of an object, acceleration due to gravity and height of an object where it is placed. Its S.I. unit is joule and is represented by J.

Learn more about potential energy here:- brainly.com/question/14427111

#SPJ1

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The question is incomplete. Here is the complete question.

Consider an experimental setup where charged particles (electrons or protons) are first accelerated by an electric field and then injected into a region of constant magnetic field with a field strength of 0.65T.

part (a): What is the potential difference, in volts, required in the first part of the experiment to accelerate electrons to a speed of 6.2 x 10⁷m/s?

part (b): Find the radius of curvature, in meters, of the path of a proton accelerated trhough this same potential after the proton crosses into the region with the magnetic field.

part (c) what is the ratio of the radii of curvature for a proton and an electron traveling through this apparatus?

Answer: (a) V = - 109.44 x 10² V

              (b) r_{p}= 9.95 x 10⁻¹ m

              (c) ratio = 1800

Explanation: (a) <u>Potential</u> <u>difference</u> is defined as the energy a charged particle has between two points in a circuit. It is calculated as

\Delta V=\frac{pe}{q}

where

pe is potential energy

q is charge

and its unit is joule/coulomb of Volts (V).

To determine potential difference required to accelerate a particle, we have to use the principle that the total energy of a system is conserved and one transforms into the other.

In this case, potential energy is transformed in kinetic energy:

pe = V.q

ke = \frac{1}{2}m.v^{2}

so

V.q=\frac{1}{2} m.v^{2}

V=\frac{m.v^{2}}{2q}

Calculating:

V=\frac{9.11.10^{-31}(6.2.10^{7})^{2}}{2(-1.6.10^{-19})}

V = -109.44 x 10²V

Potential difference of an electron to have speed of 6.2x10⁷m/s is -109.44 x 10²V.

(b) A particle has a circular motion when there is a magnetic force acting on it.

Velocity and magnetic force are always perpendicular to each other. Because of that, there is no work on the particle and so, kinetic energy and speed are constant. Since magnetic force supplies centripetal force:

F_{mag} = F_{c}

qvB=\frac{mv^{2}}{r}

r=\frac{mv}{qB}

The radius of the curvature, for a proton, will be:

r=\frac{1.67.10^{-27}.6.2.10^{7}}{1.6.10^{-19}.0.65}

r = 9.95 x 10⁻¹m

The raius of curvature, when it is a proton, is 0.995m.

(c) Radius of curvature, if it was a electron:

r=\frac{9.11.10^{-31}.6.2.10^{7}}{1.6.10^{-19}.0.65}

r = 54.33 x 10⁻⁵m

ratio = \frac{9.95.10^{-1}}{54.33.10^{-5}}

ratio = 1800

Ratio of radii of curvature is 1800, meaning curvature created when it is a proton is 1800 times bigger than when it is a electron.

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4 years ago
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Kinetic energy decreases if either the mass or the velocity of the object decreases or if both decrease. and  Kinetic energy increases if either the mass or the velocity of the object increases or if both increase.

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3 years ago
The dogs of four-time Iditarod Trail Sled Dog Race champion Jeff King pull two 100-kg sleds that are connected by a rope. The sl
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Answer:

Part a)

a = 2.4 m/s^2

Part b)

F = 120 N

Explanation:

Two sleds are connected by a rope

mass of each sled is given as

m = 100 kg

now we know that dog exert pulling force on the rope connected to first sled

F = 240 N

Part a)

By newton's first law we know that

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240 = (100 + 100)a

a = \frac{240}{100}

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Part b)

As we know that force between two ropes will pull the sled behind

so we will have

F = ma

F = 100(1.20)

F = 120 N

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