a 60kg person walks from the ground to the roof of a 80m tall building. what is the person's potential energy once they get to the top?

Answer:

4200 J/°C/kg

Explanation:

The formula for heat transfer is given by :

Q= m*c*ΔT  where;

Q= heat transferred = 6930 J

m=mass of the liquid = 0.330 kg

c= specific heat capacity=?

ΔT = 25-20 = 5.0°C

Applying the values in the formula as;

Q= m*c*ΔT

6930 = 0.330 * c * 5

6930 = 1.65 c

6930/1.65 = c

4200 = c

c= 4200 J/°C/kg

The half-life of phosphorus-32 is approximately 52.78 days.   The half-life of a radioactive isotope is the time it takes for the amount of the isotope to decrease by half. It is given by the formula:

t1/2 = ln(2) / lambda

where t1/2 is the half-life, ln(2) is the natural logarithm of 2, and lambda is the decay constant.

We can use the given values to find the decay constant:

ln(2) = 0.69314718056

lambda = ln(2) / 0.69314718056 = 0.91773272786

We can then use the decay constant to find the half-life:

t1/2 = ln(2) / lambda = 0.69314718056 / 0.91773272786 = 0.78671274328

t1/2 = 42 days / 0.78671274328 = 52.78 days

Therefore, the half-life of phosphorus-32 is approximately 52.78 days.  

Learn more about  phosphorus-32

https://brainly.com/question/9774991

#SPJ4

Answer:

1.8m/s2

Explanation:

force=mass x acceleration

so,

acceleration=force /mass

=45/25

=1.8

On a screen 3.40 m from the grating, the distance between the first-order maxima and the centre maximum is 1.31 metres.

This may be expressed by the equation d = 1/N, where N is the number of groves per unit length (in this case, millimetres). The above graphic shows that "d" stands for the grating spacing and "" for the angle of diffraction.

Since m = 1 is the first-order maximum, we may write: d sin = m sin = /d.

θ = sin^-1(λ/d)

θ = sin^-1(0.600 μm / 1.50 μm) = 23.58°

As a result, the first-order maximum is located at y1 = Ltan = (3.40 m) tan(23.58°) = 1.31 m.

"y0 = 0" "y = y1" "0 = 1.31 m

To know more about grating visit:-

https://brainly.com/question/30460514

#SPJ1

The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.

Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.

Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:

∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du

The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.

Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.

Let us work through the steps:

Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x

Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du

Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.

for such more questions on integration

https://brainly.com/question/87852

#SPJ8

Answer:

0.0469 gal

Explanation:

177.49 ml is 0.17749 L.

So, 0.17749/3.78 gives the answer

The answer is 0.0469 gallons of chocolate milk a cup can hold which contains 177.44 ml of chocolate milk.

A liquid volume measurement that is equivalent to 231 cubic inches or four quarts is known as Gallon.

To calculate gallons of chocolate milk a cup can hold:

Given,

1 ml = 0.001 L

1 gal = 3.78 L

Convert 177.44 ml to liters:

1 Liter = 1000 ml

177.44 ml * 0.001 L/ml = 0.17744 L

Convert liters (L) to gallons (gal):

= 0.17744 L / 3.78 L/gal

= 0.0469 gal

Thus, a cup that contains 177.44 ml. of chocolate milk holds 0.0469 gal.

Learn more about Gallon, here:

https://brainly.com/question/33681372

#SPJ7

Answer:

The answer is water

Explanation:

it has a netural ph of 7.0

why is the only option milk?

The Ph for milk is about 6.5 to 6.7,  it varies becauses milks gets sour when it rots.

Answer:

i. 170 m

ii. 850 m

Explanation:

Question

Arjun and his son Arav were standing ‘x’ m away from each other. They are equidistant (Y m) from a vertical cliff. Arjun burst a balloon and Arav heard the direct sound 0.5 seconds later and the echo after 2 seconds. If the speed of sound in air is 340m/s ,calculate

i. the distance between Arjun and Arav

ii. the distance between the cliff and Arjun

The parameters given are;

The time for the sound to reach Arav, \(t_D\) = 0.5 s

Time for the echo to echo to reach Arav, \(t_E\) = 2 s

The distance between Arjun and Arav = \(D_D\)

The distance between Arav and the cliff = \(D_E\)

The speed of sound in air, s = 340 m/s

The formula for speed, s, is \(s = \dfrac{Distance, D}{Time, t}\), therefore;

\(s = \dfrac{D_D}{t_D} = \dfrac{D_D}{0.5} = 340\)

\(D_D\) = 0.5 s × 340 m/s = 170 m

The distance between Arjun and Arav = 170 m

ii. Since Arav hears the direct sound before the echo, he is closer to the cliff than Arjun, therefore, we have;

\(s = \dfrac{D_E}{t_E} = \dfrac{D_E}{2} = 340\)

\(D_E\) = 2 s × 340 m/s = 680 m

Therefore, the distance between Arav and the cliff = 680 m

Which gives the distance between the cliff and Arjun, \(D_{cliff}\) = The distance between Arav and the cliff + The distance between Arjun and Arav

\(D_{cliff}\) = 680 + 170 = 850 m.

Based on the information provided, we can determine that the object's acceleration is constant and equal to zero.

This is because the object is traveling the same distance in each second, indicating that its speed is constant. Acceleration is defined as the rate at which an object changes its velocity, and since the velocity of the object is not changing (it's constant), its acceleration is zero.

It's important to note that even though the object's acceleration is zero, it is still moving. This is because acceleration is only one aspect of an object's motion, and velocity and displacement are also important factors to consider. In this case, the object's displacement (total distance traveled) is 24 meters, and its velocity is constant.

To know more about acceleration  visit:-

https://brainly.com/question/2303856

#SPJ11

(a) The center of mass of the system is 1.26 m.

(b) If the man walks to the right edge of the boat, the center of mass of the system is unchanged, 1.26 m.

(c) After walking to the right edge of the boat, the man has moved 2.53 m from his original location.

(d) After walking to the right edge of the boat, the new location center of the boat is 0.88 m.

(e) The man ends up at 1.26 m.

A man stands at the left end of a uniform boat. The coordinate system is the man's original location as shown in the picture and we assume that there is no friction or drag between the boat and water. The picture is in the attachment.

The man's location is at x₁ = 0.

The center of the boat is at x₂ = L/2 = 1.65 m.

(a) The center of mass of the system would be

x₀ = (m₁x₁ + m₂x₂)/(m₁ + m₂)

x₀ = [51(0) + 168(1.65)]/(51 + 168)

x₀ = 277.2/219

x₀ = 1.26 m

(b) If the man walks to the right edge of the boat, the center of mass of the system would remain the same. This is because there is no friction between the boat and water. So, it would be 1.26 m.

(c) After walking to the right edge of the boat, the illustration of the man's location is shown in the attachment!

x₂ = x₁ - 1.65

The man's location (x₁) is at

x₀ = (m₁x₁ + m₂x₂)/(m₁+m₂)

1.26 = (51x₁ + 168(x₁ - 1.65)/(51+168)

1.26 = (51x₁ + 168x₁ - 277.2)/219

275.94 = 219x₁ - 277.2

553.14 = 219x₁

x₁ = 2.53 m

(d) The new location of the center of the boat is

x₂ = x₁ - 1.65

x₂ = 2.53 - 1.65

x₂ = 0.88 m

(e) If he walks to the very center of the boat, he would end up at the center of mass of system, at 1.26 m. The center of mass is unchanged as explained in point b.

Learn more about dog on a boat here:

brainly.com/question/13953758

#SPJ4

Answer:

Distance = 36 meters

Explanation:

Given the following data;

Work done = 2,340,000 Joules

Force = 65,000 Newton

To find the distance covered by the crane;

Mathematically, work done is given by the formula;

\( Workdone = force * distance\)

Substituting into the formula, we have;

\( 2340000 = 65000 * distance \)

\( Distance = \frac{2340000}{65000}\)

Distance = 36 meters

A falling object's velocity is given by the formula v = gt, while its displacement is given by d = (1/2). gt2, the final velocity of a falling item from a given height v² = 2gh, A falling object's time of flight is given by the formula t = ((2h/g)).

According to Newton's second law, F = ma, the force acting on a body is equal to the mass m times the acceleration an of its centre of mass.

All things are pulled towards the earth at a constant acceleration. According to this physics rule, the height of every free-falling item can be represented by a quadratic function.

To know more about velocity visit:-

https://brainly.com/question/17127206

#SPJ1

Answer:

two forces are acting on an object but both forces are equal making the object still

Explanation:

Answer:

When two forces acting on an object are equal in size but act in opposite directions, we say that they are balanced forces . If the forces on an object are balanced (or if there are no forces acting on it), this is what happens: ... a moving object continues to move at the same speed and in the same direction.

Explanation:

Answer:

c

Explanation:

on edg

The final velocity of object one is 2v/5 to the right, and the collision is an elastic collision.

In a head-on collision between two objects, object one has a mass of "m" and an initial velocity of "2v" to the right, while object two has a mass of "4m" and an initial velocity of "v" to the left. We are given that the final velocity of object two is "v/5" to the right.

To determine the final velocity of object one, we can apply the law of conservation of momentum.

In a collision, the total momentum before the collision is equal to the total momentum after the collision, provided no external forces are acting on the system. The momentum is given by the product of mass and velocity.

Initially, the total momentum is given by (2m)(2v) - (4m)(v) since object one is moving to the right and object two is moving to the left. This simplifies to 4mv - 4mv = 0.

After the collision, the total momentum is given by (2m)(v1) + (4m)(v2/5), where v1 and v2 are the final velocities of object one and object two, respectively.

Applying the law of conservation of momentum, we have:

0 = (2m)(v1) + (4m)(v2/5)

0 = 2mv1 + (4m)(v/5)

0 = 2mv1 + 4mv/5

0 = 10mv1 + 4mv

0 = 14mv1 + 4mv

To solve for v1, we isolate it on one side of the equation:

-4mv = 14mv1

v1 = -4mv / 14m

v1 = 2v/5

Therefore, the final velocity of object one is 2v/5 to the right. The collision between the two objects is an elastic collision since both momentum and kinetic energy are conserved.

Learn more about collision

brainly.com/question/13138178

#SPJ11

Answer:

37.5 seconds

Explanation:

The given parameters are;

The mass of the block on the spring, m = 2.50 kg

The force with which the loaded spring launches the block, F = 450 N

The change in momentum of the block, Δp = 12.0 kg·m/s

We have;

Let the force with which the block was launched = The net force, \(F_{NET}\)

By Newton's second law of motion, we have;

F = \(F_{NET}\) = Δp × Δt

Where;

Δt = The time the block is in contact with the spring

Therefore;

\(\Delta t = \dfrac{F_{NET}}{\Delta p}\)

By plugging in the values for \(F_{NET}\) and Δp, we have;

\(\Delta t = \dfrac{450 \ N}{12.0 \ kg \cdot m/s} = 37.5 \ s\)

The time duration the block is in contact with the spring, Δt = 37.5 seconds.

Answer: 1. As pen nib is split at the tip to provide the narrow capillary and the ink is drawn upto the point continuously.

2. In oil lamps, the oil is drawn up through the capillary of the wick.

3. Clay soils are damped as the water rises quickly to the surface through the capillaries.

4. Water and minerals rise in the plants through the fine capillaries.

5. Blotting paper absorbs ink through the pores.

The time constant R of the circuit is calculated to be approximately 14.43 s. The time constant R of the circuit can be calculated as follows; \(V(t) = V(0) * e^(-t / R)\) .

We are given that :A capacitor in an RC circuit is initially fully charged to a voltage of 12 V.A capacitor is then discharged through a resistor with a resistance of 100 Ω.After 5 seconds, the voltage across the capacitor has decreased to 4 V.

The time constant R of the circuit can be calculated as follows; \(V(t) = V(0) * e^(-t / R)\) Where, V(0) = 12 V (the initial voltage across the capacitor)V(t) = 4 V (the voltage across the capacitor after 5 seconds)t = 5 sec And, R = time constant

Therefore, substituting the given values in the above formula;

\(4 V = 12 V * e^(-5 / R)\)

Dividing both sides of the equation by 12 V, we get; \(e^(-5 / R) = (1/3)\)

Take natural logarithm (ln) of both sides of the equation to eliminate e from the equation;

-5 / R = ln(1/3)

Multiplying both sides by R, we get; R * (-5 / R)

= R * ln(1/3)-5

= R * ln(1/3)

Dividing both sides by ln(1/3), we get; R = -5 / ln(1/3)

Therefore, the time constant R of the circuit is approximately 14.43 s.

To know more about time constant, refer

https://brainly.com/question/19530844

#SPJ11

Answer:

parallel circuit with switch closed

Explanation:

The two circles with X's ( the load) are wired side-by-side ...in parallel.

The switch ( between the two dots  at the top) is CLOSED

Answer:

\(a=0.611\ m/s^2\)

Explanation:

Given that,

Mass of a refrigerator, m = 90.01 kg

She is able to slide the refrigerator across the floor with 55  N of force.

We need to find the acceleration of the refrigerator.

Let it is a. Using second law of motion:

F = ma

\(a=\dfrac{F}{m}\\\\a=\dfrac{55\ N}{90.01\ kg}\\\\a=0.611\ m/s^2\)

So, its acceleration is \(0.611\ m/s^2\).

Answer: velocity

Explanation:

Your slope is calculated as \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{displacement}{time}\), which equals velocity.

Answer:Δx=v0t + 1/2 at 2

Answer:

B = 1058.4  N

Explanation:

Given that,

The volume of a metal block, V = 0.09 m³

The density of fluid, d = 1200 kg/m³

We need to find the buoyant force when it's Completely  immersed in brine. The formula for the buoyant force is given by :

\(B=\rho gV\)

g is acceleration due to gravity

\(B=1200\times 9.8\times 0.09\\\\B=1058.4\ N\)

So, the required buoyant force is 1058.4  N.

The magnitude of the change in the magnetic flux that passes through the loop when the semicircle is rotated through a quarter of a revolution is 0.27867 Wb.

The induced electromotive force (emf) in a coil is proportional to the rate of change of magnetic flux through it. This is also known as Faraday's law of electromagnetic induction.

The formula for magnetic flux is given by

Φ = BANcosθ

Where,

If the angle between the magnetic field and the normal plane of the loop is 0°, the maximum magnetic flux is achieved. If the angle is 90°, the flux is zero.

The area of the loop is given by

A = πr²

Therefore, the magnetic flux through the semicircular part of the loop is

Φ = (0.77)(πr²)cos0°

= (0.77)(π × 0.24²)

= 0.13636 Wb

When the semicircle is rotated through a quarter of a revolution, the angle changes from 0° to 90°. Therefore, the magnetic flux becomes zero. Hence, the change in the magnetic flux is given by

0 - 0.13636 = -0.13636

Wb = -136.36 m

Wb = -0.13636 × 10⁻³

Wb= -0.13636 mV

Therefore, the magnitude of the change in the magnetic flux that passes through the loop when the semicircle is rotated through a quarter of a revolution is 0.27867 Wb.

For more information about Faraday's law refers to the link: https://brainly.com/question/1640558

#SPJ11

Answer:

Volume is to be calculated by L×H×W

Given:

Lenght=5.35

Width= 3.80

Height= 3.25

Therefore,

Volume=5.35×3.80×3.25

⇒66.0725 [this can be estimated to 6.1 as there is only minute gap betwen 66.0725&66.1]

⇒So from the given options we can use 66.1 as the asnwer u need to choose

The shopping cart moves a distance of 4.57 meters in 3.00 seconds.

Using Newton's second law, which relates force, mass, and acceleration we can solve this problem

F = ma

where F is the net force acting on the object, m is its mass, and a is its acceleration.

In the given problem, the net force acting on the shopping cart is 14.0 N, and its mass is 15.5 kg. We can rearrange the equation above to solve for the acceleration of the cart:

a = F/m

a = 14.0 N / 15.5 kg

a = 0.9032 \(m/s^2\)

Now we can use the kinematic equation that relates distance, acceleration, and time:

d = 1/2 * a * \(t^2\)

where d is the distance traveled, a is the acceleration, and t is the time.

Plugging in the values we have:

d = 1/2 * 0.9032 \(m/s^2\) * \((3.00 s)^2\)

d = 4.57 meters

Therefore, the shopping cart moves a distance of 4.57 meters in 3.00 seconds.

To learn more about Newton's second law:

https://brainly.com/question/25545050

#SPJ4

The spring stiffness constant of the coiled spring is 22955.91 N/m.

The conservation of energy to determine the spring stiffness constant.

Initially, the car has kinetic energy equal to:

K1 = (1/2) × m × v²

where m is the mass of the car and v is its speed. When the car is brought to rest by the spring, its kinetic energy is converted into elastic potential energy stored in the spring.

The elastic potential energy stored in a spring is given by:

U = (1/2) × k × x²

where k is the spring stiffness constant and x is the displacement of the spring from its equilibrium position.

At the maximum compression of the spring, the car comes to a stop, so all of the initial kinetic energy is stored as elastic potential energy:

K1 = U

Substituting the expressions for K1 and U and solving for k, we get:

k = 2 × K1 / x²

where x is the maximum compression of the spring. We are given the initial speed of the car, v = 65 km/h, which is equal to:

v = 65 km/h × (1000 m/km) / (3600 s/h) = 18.06 m/s

We are also given the distance the car comes to rest, x = 3.1 m. Substituting these values and solving for k, we get:

k = 2 ×  (1/2) × m × v² / x²

= m × v² / x²

= 1100 kg× (18.06 m/s)² / (3.1 m)²

= 22955.91 N/m

Therefore, the spring stiffness constant of the coiled spring is 22955.91 N/m.

Learn more about spring stiffness

brainly.com/question/30700314

#SPJ11

We can determine the velocity of a wave when given the frequency and the wavelength.

What are the effects of wavelength on velocity?

The velocity of the wave is said to be obtained by multiplying the wavelength by the wave's frequency for any wave. The wave velocity formula mathematically provided this formula. An increase in frequency will result in an increase in the wave's velocity for a constant wavelength.

How does wavelength change affect velocity?

The wave's velocity doesn't change. Therefore, the wave's new wavelength is half of its previous one. Consequently, a wave's wavelength shrank as its frequency rose.

Know more about velocity

https://brainly.com/question/28738284

#SPJ1

The kinetic energy of the photoelectrons emitted is calculated as 2.23 *10^-19 J .

Photoelectrons are the electrons which are produced when energetic photon of radiation strikes a molecule. Photoelectron is an electron ejected from atom, molecule, or solid by an incident photon.

In terms of behavior and properties, photoelectrons are no different from other electrons.

E= h c/λ

= 6.6 *10^-34 * 3 * 10^8/400 * 10^-9

= 4.95 *10^-19 J

Work function = 1.7 eV= 1.7 * 1.6 *10^-19

= 2.72 *10^-19 J

Hence,  kinetic energy of photo electrons emitted will be;

= 4.95 *10^-19 J -  2.72 *10^-19 J

kinetic energy = 2.23 *10^-19 J

To know more about photoelectrons, refer

https://brainly.com/question/12749779

#SPJ4

Answer:

A.

Explanation:

B,C,D is not right because those do not pay a factor on kinectic energy