A climber of mass 100 kg (including the equipment she is carrying) ascends from sea level to the top of a mountain 5500 m high. Calculate the change in her gravitational potential energy

The resultant velocity of the two components velocity is 29.68 m/s.

The resultant velocity of an object is the sum of its individual vector velocities. Also, the resultant velocity of an object is the single velocity that can effectively represent the two velocities in both magnitude and direction.

The resultant velocity of the two given components of velocity if calculated as follows;

V² = Vx² + Vy²

where;

V² = 25² + 16²

V² = 881

V = √881

V = 29.68 m/s

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Compression is  Δx = √(2mgd·sinθ/k).

Given parameters:

Mass of the block = m.

Distance between the spring and the block is = d

The spring constant = k.

And, angle of inclination = θ.

And,  The block comes to rest momentarily after it has compressed this spring by ∆x.

Now, loss of potential energy of the block = mgd sinθ.

And, gain in potential energy of the spring due to compression = 1/2k(Δx)²

From principle of conservation of energy,

1/2k(Δx)² =  mgd sinθ.

⇒ Δx = √(2mgd·sinθ/k)

So, amount of compression is  Δx = √(2mgd·sinθ/k).

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The apparent weight of the astronaut of mass 65.1 kg moving with a speed of 33.9 m/s in 2.7 s is 811.797 N.

Weight is the force with which a body is attracted toward the earth or a celestial body by gravitation and which is equal to the product of the mass and the local gravitational acceleration.

To calculate the astronaut's apparent weight, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the apparent weight of the astronaut is 811.797 N.

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the answer is c in question 7

Answer:

transmission

Explanation:

Answer: transmission

Explanation: took test!

Answer:

Explanation:

F = m*(g - a)

g - a = F / m

a = g - F / m = 10 - 60.0 / 150 = 9.6 m/s²

Component of North direction , East Direction velocity is 30√3m/s , 63.88726m/s respectively. Distance of north and east direction is 21.96 m ,8.04 m respectively and Displacement is 0.

Speed = 30m/s , Ф=60 , time= 3hrs

a. √(Vₓ² +Vₙ²) = ν

√( 3600 -900 ) = ν

30√3m/s= ν

b.  ED=EA + 30

30√3= EA + 30

EA= 30√3 - 30

= 30 { √3 -1 }

=30 (1.732-1)

=30 (0.732)⇒ 21.96 m

c. √(V1² +V2²) = ν

√(3600 + 481.583)⇒ 63.88726m/s

d.  Component of east direction = 30-21.96

    =8.04 m

e. Displacement being a scalar quantity and state function = 0

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The mass of the continent which s represented as a slab of rock of 4050 km on a side and 29 km deep and the rock has an average mass density of 2750 kg/m3 is 1.31 * [tex]10^{21}[/tex] Kg.

A moving item or particle might have the power of a certain type called kinetic energy. By applying a net force, an item can perform work, which involves the transfer of energy. As a result, the object accelerates and as a result, gains kinetic energy.

Given:

The side of the slab, a = 4050 km,

The density of slab, d = 2750 kg/[tex]m^3[/tex],

The depth of the slab, h = 29 km.

Calculate the mass by the following formula,

m = [tex]V * d[/tex]

Here, m  represents mass and V represents volume,

m = 4050 * [tex]10^3[/tex]* 29 *  [tex]10^3[/tex] * 4050 * [tex]10^3[/tex] * 2750

m = 1.31 * [tex]10^{21}[/tex] kg

Therefore, the mass of the continent is  1.31 * [tex]10^{21}[/tex] kg.

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Answer: The answer is 386 N

Explanation:

Answer: So, the kinetic energy of the ball is 0.02 J

Explanation:

The dog's acceleration :- -1.8 [tex]m/s^{2}[/tex] (deacceleration).

initial velocity u=7.2 m/s

final velocity v= 0

displacement s= 14.4m

v² = u² + 2as

a= -(7.2*7.2)/2*14.4

acceleration a= -1.8 [tex]m/s^{2}[/tex]

The rate at which velocity changes over a predetermined amount of time is called acceleration. By dividing the velocity change by the time change, you can calculate acceleration.

As time passes, the velocity is shifting. Actually, every second of time sees a change in velocity of 10 m/s, which is a constant. When an object's velocity changes, it is said to be accelerating; this implies that the object has an acceleration.

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Answer: B

Explanation:

You will have air resistance as a type of friction, and since there isn't a normal force opposing it, gravity will bring the ball toward the ground.

The upward acceleration of the acrobat is 1.833 m/s².

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given parameters:

Mass of the acrobat; M = 588 N.

Weight of the acrobat acting downwards; W = 588 N.

Upward force provided by each of the two ropes; f = 349 N.

Hence, net force acting on the acrobat in upward direction = 2f -w

= (2×349 - 588 ) N.

= 110 N.

Hence, the upward acceleration of the acrobat is = net force/ mass

= 110/60 m/s².

=1.833 m/s².

So, the upward acceleration of the acrobat is 1.833 m/s².

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Answer:

Explanation:

Given:

V₀ = 8.06 m/s

V = 8.61 m/s

t = 5.00

________

a - ?

Acceleration:

a = (V - V₀) / t

a = (8.61 - 8.06) / 5.00 ≈ 0,11 m/s²

Answer:0.11

Explanation:

Answer:

B) negative reinforcement

Explanation:

Derrick goes to a party and has a bad time, which decreases his party going behavior. This is an example of negative reinforcement. Hence option B is correct.

According to the reinforcement hypothesis, "contingent consequences" of human activities lead to human behaviour. This means that when employees get the appropriate reinforcers, their conduct can change for the better, and bad behaviour can be eliminated.

Self-awareness, self-reflection, and self-regulation are the three key tenets of the self-regulation paradigm of human behaviour. Historically, rewards have correlated with self-regulation. Although the result may have an impact on the conduct, behaviour also need antecedents. Positive reinforcement, negative reinforcement, extinction, and punishment are the four different forms of reinforcement. The use of a positive reinforcer is known as positive reinforcement. In order to encourage the antecedent behavior from that, negative reinforcement is the technique of eliminating anything undesirable from the subject's environment.

Hence option B is correct.

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Answer:

below

Explanation:

PE = mgh = 62 * 9.81 * 1.3 = 791 J

  now lose 200 J    to air resistance  = 591 J   that is converted to kinetic energy

KE = 1/2 m v^2

591 = 1/2 (62)(v^2)     shows v = 4.4 m/s

Answer:

A

Explanation:

this is because 2×8×20=320

Answer:

Explanation:

4. Convergent boundary- when two plates move closer together.

5. Divergent boundary- when two plates move apart

6. Transform boundary- when two plates move past each other

The mechanical energy of the girl will be conserved because the system is isolated and the initial potential energy will be equal to final kinetic energy.

The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.

The change in the potential energy of the  launched from a height into the pool without friction from the given height h is calculated by applying the following kinematic equation.

ΔP.E = ΔK.E

where;

mghf - mghi = ¹/₂mv²  - ¹/₂mu²

where;

Thus, for every closed or isolated system such as this case, mechanical energy is always conserved because the initial potential energy of the girl will be converted into her final kinetic energy.

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Answer:

Density 0.5 g/cm³

Explanation:

Given:

m = 20.0 g

V = 40.0 cm³

_________

Find  ρ - ? Density

Density:

ρ = m / V

ρ = 20.0 / 40.0 = 0.5 g/cm³

a) The energy that is stored in a rubber band is the elastic potential energy

b) The potential energy of the magnets increases as work is done to separate the opposite poles.

We define the potential energy as the energy that is possessed by a body that is at rest. In other words, it is an energy that is possessed by a body that is not in motion. It is a result of the position of a body.

However, the potential energy can be released to do work when there is need. In this case, we have two different cases where the potential energy that have been stored in a body is released to do work.

a) In this case, the potential energy that is stored in the rubber band is the elastic potential energy. When we stretch the rubber band, this energy is now available to do work.

b) The potential energy of the magnets is said to increase when we pull them apart because more work is done to separate the opposite poles of the magnet. The energy comes from the separation of the poles of the magnets.

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No, the system is not in equilibrium because the forces are not balanced which caused acceleration In system.

In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).

Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.

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Answer:

Explanation:

A liquid can easily change its shape but a solid cannot because:

b. The forces between the molecules is strong in solid than in liquids.

A liquid can easily change its shape but a solid cannot because the forces between the molecules is strong in solid than in liquids. Thus Option b is the answer.

There is some kinds of forces that holds the molecules each other like for example in hydrogen chloride [ HCl ] the relatively positive hydrogen of one molecule is attracted to the negative chlorine of other due to dipole dipole interaction.

Actually structure of any molecule means combination of repulsive and attractive forces which is relatively concerned with charge and electron spin.

Solids have significant intermolecular forces so its difficult to dissociate the bonds and create a new shape , while fluids have insignificant molecular forces due to which its easier to generate new shapes.

So that's why Solids cannot change its shape with that ease as liquids do.

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Initial horizontal speed and  flight time of a projectile are proportional to of the initial velocity.

A projectile is any object that is sent into space with only gravity acting on it. The primary force affecting a projectile is gravity.

This doesn't mean that other forces don't have an impact; it just means that they have a much smaller one compared to gravity. The trajectory of a projectile is the path it takes after being fired. The projectile is something that is batted or hurled, similar to a baseball.

Initial horizontal speed  projectile= u

flight time of a projectile = 2usinθ/g.

So, these two quantities of projectile motion are  proportional to the initial velocity.

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Some object remains hot for a long period of time because they have low thermal conductivity and some object remain hot for a short period of time because they have high thermal conductivity.

Thermal conductivity is a property of a substance to allow heat to flow through it easily.

Thermal conductivity is a measure of how well a substance will conduct heat or not.

Objects that have high thermal conductivity gain heat easily and also lose heat easily. Hence, they get hot quickly and also get cold quickly.

Objects that have low thermal conductivity gain heat slowly and also lose heat slowly. Hence, they get hot slowly and also get cold slowly.

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Answer:

5 m

500 cm to m is 5 meters

To convert one length to another, a conversion is applied, but first we will propose some data to serve us when applying the conversation.

Data:

Now, we convert centimeters to meters.

Conversion:

Explanation:

They are 5 meters because multiplying 500 by 1 will give you the same result of 500, then we divide the 500 with the last amount that we have left, which is 100, thus giving us a result of 5 meters.

Answer:s= A. 60 m/s

B. s=0 m/s

c. s=70 m/s

D. s=50.4 m/s

Explanation:

Sorry if its wrong

Based on the principle of moments. the distance from the end of the table should the box be placed before the board begins to tilt is 8.6 cm.

The distance from the end of the table should the box be placed before the board begins to tilt is determined from the principle of moments as follows:

The block is 30 cm on the table and 20 cm outside it.

The downward force acting on the left-hand side of the box = 3/5 x 5.50  = 3.3kg.

This force acts at the center of gravity, 15 cm or 0.15 m away.

Therefore, anticlockwise moments o the left side = 3.3 x 0.15 = 0.495 J

Also, the clockwise moment on the right side = Force * distance

Force = 2/5 x 5.5 = 2.2 N

Distance from the center of gravity = 10 cm or 0.10 m away.

the clockwise moment on the right side due to the board = 2.2 x 0.1 = 0.22.

The moment due to the box with a weight of 2.5 kg at a distance of x meters will be:

the total clockwise moment on the right side = 0.28 + 2.5 * x.

When the board is just about to tilt:

0.495 = 0.28 + 2.5 * x

2.5x = 0.495 - 0.28

x = 0.086 m or 8.6 cm

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