2. Using a giant screw, a crew does 650 J of work to drill a hole into a rock.
The screw does 65 J of work. What is the efficiency of the screw? Show your
work. Hellpppp

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

To know more about Hooke's law, visit :

https://brainly.com/question/15365772

The time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately C, 1.1 seconds.

To determine the time required to crumple the barrier and safely slow down the person with a maximum force of 1650 N, use the equation of motion:

F = m × a

where:

F = force

m = mass

a = acceleration

Given:

m = 68 kg

F = 1650 N

Find the acceleration (a) first. Rearranging the equation:

a = F / m

Substituting the values:

a = 1650 N / 68 kg

a ≈ 24.26 m/s²

Now, use the equation of motion to find the time (t):

v = u + at

where:

v = final velocity (0 m/s as the person comes to a stop)

u = initial velocity (27 m/s)

a = acceleration (24.26 m/s²)

t = time

Rearranging the equation:

t = (v - u) / a

Substituting the values:

t = (0 m/s - 27 m/s) / 24.26 m/s²

t ≈ -27 m/s / 24.26 m/s²

t ≈ -1.11 s

The negative sign indicates that the time is in the opposite direction to the initial velocity. Taking the absolute value, the time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately 1.11 seconds.

Find out more on maximum force here: https://brainly.com/question/14178248

#SPJ1

Answer:

this is my answer

hope it helps

As a result, each string is under about 71.3 N of tension.

The forces tugging on the rope from either end cause a certain strand of string or rope to be under strain. Recall that force equals mass times acceleration. Every change in acceleration or mass of the objects the rope is supporting will result in a change in tension in the rope, assuming the rope is stretched firmly.

The strain in the strings balances the block's weight in the vertical direction, giving us: 2T cos θ = mg

Therefore, we have: 2T sin θ = 0

since sin θ = 0 when θ = 26.3°.

Solving the first equation for T, we get:

T = mg / (2cos θ)

Substituting the given values, we get:

T = (14.7 kg)(9.81 m/s²) / (2cos 26.3°)

T ≈ 71.3 N

To know more about string visit:-

https://brainly.com/question/29763438

#SPJ1

The reactive force when a fish swims through water is the force of the water on the fish. This is an example of Newton’s third law of motion which states that for every action, there is an equal and opposite reaction. The active force is the fish pushing against the water, so the reactive force would be the reverse, the equal force of the water pushing back on the fish.

Answer:

Explanation:

Let the separation required be d .

Force between rod = 10⁻⁷ x  2 I₁ I₂ L / d

where I₁ and I₂ are current in them , d is distance of separation and L is length of wire .

Force between rod = 10⁻⁷ x  2 x 1200 x  1200 x .69  / d

= .1987 /d

Restoring Force by spring = k x where k is force constant and x is compression .

= 130 x .03

= 3.9 N

For balancing

Restoring Force by spring = Force between rod

.1987 /d = 3.9

d = .1987 /3.9

= .0509 m

= 5.09 cm .

Answer:

See below

Explanation:

Acceleration =   Δv /  Δt

   = (40-55) / 4 s     =    - 3.75 miles per hour per second

here is the same answer with different units

-15 mi/hr = -22 f/s

        -22 ft / s  / 4s = -5.5 ft/s^2

The value of M that goes through a small hole in the table if it stays in equilibrium is mv²/rg ( A )

The force acting on object m is the centripetal force.

\(F_{c}\) = m v² / r

Mass = m

Velocity = v

Radius = r

The force acting on object M is the gravitational force,

\(F_{g}\) = M g

g = Acceleration due to gravity

Since the system is at equilibrium,

\(F_{c}\) - \(F_{g}\) = 0

m v² / r = M g

M = m v² / r g

Therefore, the value of M if it stays in equilibrium is mv²/rg ( A )

To know more about centripetal force

https://brainly.com/question/1869806

#SPJ1

The density of water is approximately 1 g/cm^3. Therefore, the volume of 2800 g of water would be 2800 cm^3 because density is mass/volume, and so volume is mass/density.

Since this volume is inside a cubic box, the length of each side of the cube (a, for instance) could be found by taking the cubic root of the volume. This is because the volume of a cube is calculated by a^3 (length of one side cubed). Hence, a = cube root of 2800 cm^3 ≈ 14.1 cm.

Converting centimeters to meters (as 1 meter is equal to 100 centimeters), we get approximately 0.141 meters.

So the filled cubic box has a side length of approximately 0.141 m.

Answer:

The Ic will be zero.

Explanation:

Capacitors have a working principal as follows:

An AC voltage increases and decreases between certain maximum and minimum points periodically. So while the AC voltage is on the positive side, the capacitor charges up and when the AC voltage crosses to the negative side, the capacitor takes over and it's current starts increasing as the current coming from the AC source decreases.

So in this case, as the AC voltage crosses zero, the capacitor current was decreasing because the AC voltage was on the positive side and it was charging. The capacitor current will be zero as well and it will start to increase when AC voltage is on the negative.

I hope this answer helps.

The instant acceleration of the object is 10 m/s² and the displacement of the object is 228 m.

The instant acceleration of the object is determined by taking the derivative of the velocity as follows;

v = 8 + 2.5t²

a = dv/dt

a = 5t

a(2) = 5(2)

a(2) = 10 m/s²

The displacement of the object is determined by taking the integral of velocity as follows;

v =  8 + 2.5t²

x = ∫v

x = 8t + 2.5t³/3

x(0) = 0

x(6) = 8(6) + 2.5(6)³/3

x(6) = 228 m

Thus, the displacement of the object is 228 m.

Learn more about acceleration here: https://brainly.com/question/14344386

The density of the liquid in the drum is 459.184 kg/m³.

To find the density of a liquid, we must know its pressure, the depth to which it is filled, and the gravitational acceleration acting on it. Using the equation for pressure at a depth h below the surface of a liquid in a container of height H, P = ρgh, where P is the pressure, ρ is the density, g is the gravitational acceleration, h is the height of the liquid, and H is the height of the container.Let's substitute the given values in the above formula:P = 9000800 Pa; h = 2m; g = 9.8m/s²Therefore, ρ = P/gh = 9000800/(9.8 × 2) ≈ 459184.

This means that the density of the liquid in the drum is 459.184 kg/m³ (kilograms per cubic meter).

for more questions on density

https://brainly.com/question/952755

#SPJ8

As a liquid is cooled its molecules lose kinetic energy and their motion slows. When they've slowed to where intermolecular attractive forces exceed the collisional forces from random motion, then a phase transition from liquid to solid state takes place and the material freezes

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

When you rub a balloon on your head, electrons move from the atoms and molecules in your hair onto the balloon. Electrons have a negative charge, so the balloon becomes negatively charged, and your hair is left with a positive charge.

Explanation:

The things that should be held constant are the amount of water given to the plant each day, the length of time each plant is exposed to light and the temperature where the plants are stored.

Using a pH scale, acids and bases can be determined. The scale has a 0 to 14 range. In order to detect whether a chemical is an acid or a basic, Litmus paper is employed as an indication. The color of the paper, which corresponds to the numbers on the pH scale, indicates the type of chemical being tested. For instance, vinegar, which has a pH of 2.4, is an acid.

Now, according to the question,

The concentration of carbon dioxide in water affect the pH of the plant, so it depends on that how much water is given to the plant. The temperature also affect the pH of the plant  so, the length of time each plant is exposed to light and the temperature where the plants are stored will also affect the pH on plant growth that's why these things should be held constant.

To get more information about pH scale :

https://brainly.com/question/1433865

#SPJ1  

Answer:

the motorcycle travels 522 miles in 18 seconds Explanation: 29 x 18 is 522 I'm pretty sure that's what it was asking but I don't know

Okay, here are the step-by-step workings:

The initial temperature was 20 °C

The temperature increase was 10 °C

To convert from °C to °F, use the formula:

°F = (°C × 1.8) + 32

For 20 °C:

°F = (20 × 1.8) + 32 = 68 °F

For the 10 °C increase:

°F Increase= (10 × 1.8) + 32 = 18 °F

So the temperature increase in °F was 18 °F.

The full answer is:

The temperature increase in °F was 18 °F.              Thanks!      

The steps/guidelines for preventing quackery and fraud when shopping are :

Quackery involves the claim of knowledge and provision of a fake and dishonest service to unsuspecting customers or clients and this is very common in medicine.

Fraud is the false representation of a material or service in order to cause loss of money or pain to an unsuspecting client or customer. some steps to prevent fraud are as follows :

Hence we can conclude that The steps/guidelines for preventing quackery and fraud when shopping are as listed above

Learn more about Fraud : https://brainly.com/question/1260589

Answer:

15 hours

Explanation:

formula: f(a) = a(0.5)^(T/t)

fill in known values: 13=208(0.5)^(60/t)

use natural log to isolate t:    ln(13/208)=ln(0.5)(60/t)

solve for t: t=15

Answer:

A “frame of reference” is a standard relative to which motion and rest may be measured; any set of points or objects that are at rest relative to one another enables us, in principle, to describe the relative motions of bodies.

Explanation:

When you see a ball roll down a street, you can tell the ball is moving because the frame of reference is the streets, whatever may be on the side of the roads, or the Earth. All of these are frames of reference. All measurements of motion will be compared to a frame of reference.

Answer:

3(1.5) = 4.5 V

Explanation:

A 25 kg block is pulled with an applied force of 200 N across a horizontal surface. The block experiences a frictional force of 75 N. The Net Force acting on the block is 125 N. The acceleration of the block is 5 m/s².

The term net force is defined as  the sum of all the forces acting on an object. Net force can speed up a mass. Some other force acts on a body either at rest or in motion. The net force is a term utilized in a system when there is a significant number of forces.

A. a Free Body Diagram for the block, including all forces acting on the block is attach in image below.

B.Net force acting on the block

F = 200 - 75

= 125 N

F = 125 N

C. Acceleration of the block

Ma = 125

a = 125/ 25

a = 5 m/s²

Thus, the Net Force acting on the block is 125 N. The acceleration of the block is 5 m/s².

To learn more about the net force, follow the link;

https://brainly.com/question/29261584

#SPJ1

\(\huge\underline{\underline{\boxed{{ \mathbb{SOLUTION:}}}}}\)

\(\leadsto\) Total internal reflection occurs when a ray of light is traveling through a medium and, when that medium changes, it does not refract into the second medium but instead it reflects back into the first medium.

By Snell's law, we know that

\(\longrightarrow \sf{n_1 sin \emptyset_1 = n_2 sin \emptyset_2}\)

If this happens, then \(\sf{n_2 \angle n_1}\), and the ray does not lose intensity due to refraction.

\(\huge\underline{\underline{\boxed{\mathbb{ANSWER:}}}}\)

\(\large \bm{ A.}\) A ray of light has the same intensity both entering and exiting a fiber optic cable.

A 0.842g sample of Hydrogen-3 decays to 0.0526g. Approximately 4.206 half-lives have occurred.

To determine the number of half-lives that have occurred, we can use the decay equation and the concept of exponential decay. The decay equation for radioactive decay is given by:

N(t) = N₀ * (1/2)^(t/T),\((1/2)^(^t^/^T^),\)

where N(t) is the remaining amount of the substance at time t, N₀ is the initial amount, t is the time elapsed, and T is the half-life of the substance.

In this case, we have an initial mass of 0.842g (N₀) and a remaining mass of 0.0526g (N(t)). We can set up the equation as follows:

0.0526g = 0.842g \(* (1/2)^(^t^/^1^2^.^3^2)\),

where t represents the number of half-lives that have occurred.

To solve for t, we can take the logarithm of both sides of the equation:

log(0.0526g/0.842g) = log\([(1/2)^(^t^/^1^2^.^3^2^)\)].

Using the logarithmic property log(\(a^b\)) = b*log(a), we can rewrite the equation as:

log(0.0526g/0.842g) = (t/12.32) * log(1/2).

Simplifying further:

log(0.0526g/0.842g) = (t/12.32) * (-log2),

where log2 is the logarithm base 2.

Now, we can solve for t:

t = (12.32 * log(0.0526g/0.842g)) / (-log2).

Using the given values and performing the calculation, we find:

t ≈ 4.206.

Therefore, approximately 4.206 half-lives have occurred.

For more such information on: half-lives

https://brainly.com/question/1160651

#SPJ8

Answer:

b

Explanation:

determine the rotational kinetic energy about it's center of mass

Humans would need a breathable environment like that on Earth in the living section of a colony on Venus in order to survive. Nitrogen, oxygen, and trace amounts of other gases, such as carbon dioxide, make up the majority of the atmosphere on Earth.

The clouds are made of sulfuric acid, and the atmosphere is primarily carbon dioxide, the same gas that causes the greenhouse effect on Venus and Earth. And the heated, high-pressure carbon dioxide acts corrosively at the surface.

For instance, compared to Earth, which has 99% nitrogen and oxygen in its atmosphere, Venus and Mars both contain more than 98% carbon dioxide and nitrogen.

To know more about atmosphere visit:-

https://brainly.com/question/885615

#SPJ1

Answer:

\(V_1= 3.4*10^7m/s\)

Explanation:

From the question we are told that

Nucleus diameter \(d=5.50-fm\)

a 12C nucleus

Required kinetic energy \(K=2.30 MeV\)

Generally initial speed of proton must be determined,applying the law of conservation of energy we have

            \(K_2 +U_2=K_1+U_1\)

where

\(K_1\) =initial kinetic energy

\(K_2\) =final kinetic energy

\(U_1\) =initial electric potential

\(U_2\) =final electric potential

mathematically

   \(U_2 = \frac{Kq_pq_c}{r_2}\)

where

\(r_f\)=distance b/w charges

\(q_c\)=nucleus charge \(=6(1.6*10^-^1^9C)\)

\(K\)=constant

\(q_p\)=proton charge

Generally kinetic energy is know as

         \(K=\frac{1}{2} mv^2\)

Therefore

         \(U_2 = \frac{Kq_pq_c}{r_2} + K_2=\frac{1}{2} mv_1^2 +U_1\)

Generally equation for radius is \(d/2\)

Mathematically solving for radius of nucleus

         \(R=(\frac{5.50}{2}) (\frac{1*10^-^1^5m}{1fm})\)

         \(R=2.75*10^-^1^5m\)

Generally we can easily solving mathematically substitute into v_1

   \(q_p\)\(=6(1.6*10^-^1^9C)\)

   \(K_1=9.0*10^9 N-m^2/C^2\)

   \(U_1= 0\)

   \(R=2.75*10^-^1^5m\)

   \(K=2.30 MeV\)

   \(m= 1.67*10^-^2^7kg\)

   \(V_1= (\frac{2}{1.67*10^-^2^7kg})^1^/^2 (\frac{(9.0*10^9 N-m^2/C^2)*(6(1.6*10^-^1^9C)(1.6*10^-^1^9C)}{2.75*10^-^1^5m+2.30 MeV(\frac{1.6*10^-^1^3 J}{1 MeV}) }\)

    \(V_1= 3.4*10^7m/s\)

Therefore the proton must be fired out with a speed of \(V_1= 3.4*10^7m/s\)