A force of 78 N is applied to a nutcracker to crack open a walnut. If the mechanical advantage of the nutcracker is 3.7, what is the force the nutcracker applies to the walnut

(a) The period of the oscillation is 0.8 s.

(b) The frequency of the oscillation is 1.25 Hz.

(c) The angular frequency of the oscillation is 7.885 rad/s.

(d) The amplitude of the oscillation is 3 cm.

(e) The force constant of the spring is 148.1 N/m.

The given parameters:

From the given graph, we can determine the missing parameters.

The amplitude of the wave is the maximum displacement, A = 3 cm

The period of the oscillation is the time taken to make one complete cycle.

T = 0.8 s

The frequency of the oscillation is calculated as follows;

\(f = \frac{1}{T} \\\\f = \frac{1 }{0.8} \\\\f = 1.25 \ Hz\)

The angular frequency of the oscillation is calculated as follows;

\(\omega = 2\pi f\\\\\omega = 2\pi \times 1.25\\\\\omega = 7.855 \ rad/s\)

The force constant of the spring is calculated as follows;

\(\omega = \sqrt{\frac{k}{m} } \\\\\omega ^2 = \frac{k}{m} \\\\ k = \omega ^2 m\\\\k = (7.855)^2 \times 2.4\\\\k = 148.1 \ N/m\)

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Answer:

The pressures acting on a submarine at 50 m are much less than the pressures at a depth of 200 m. The lower the submarine goes, the higher the pressure.

Explanation: I did some research on this and got it right.

Answer:

h = 3.6 m

Explanation:

This is the case of a projectile motion. We assume the air resistance to be negligible. So the speed of the rock remains constant in x-direction. Therefore,

s = V₀ₓ t

where,

V₀ₓ = x - component of launching velocity = V Cos θ = (35 m/s)(Cos 22°)    V₀ₓ = 32.45 m/s

s = distance traveled horizontally by the rock = 10 m

t = time taken to cover the distance = ?

Therefore,

10 m = (32.45 m/s)(t)

t = (10 m)/(32.45 m/s)

t = 0.31 s

Now, we consider the vertical motion. The vertical motion is taking place under the action of gravity. So it is uniformly accelerated motion. Applying 2nd equation of motion to the vertical motion:

h = (Vi₀)(t) + (0.5)gt²

where,

h = height of rock = ?

Vi₀ = Vertical Component of Launching Velocity = V₀Sinθ = (35 m/s)(Sin 22°)

Vi₀ = 13.11 m/s

g = - 9.8 m/s² (negative for upward motion)

Therefore,

h = (13.11 m/s)(0.31 s) + (0.5)(-9.8 m/s²)(0.31 s)²

h = 4.06 m - 0.47 m

h = 3.6 m

Answer: Its (B)

Explanation

Answer:

Option B

Explanation:

See angular velocity is decreasing with respect to time , angular acceleration is negative .

The slope of the graph should be angular acceleration as slope is change in y with respect to x .

Here initial velocity made twice

so y intercept or vertical intercept should go twice up wards.

The horizontal intercept will also go twice rightwards because slope or angular acceleration is constant given .

If scale is one box=1units

Remember that displacement will be doubled also

Answer:

As thermal energy increases,there is more particle movement

Answer:

Energy in carriage (Potential energy) = 4,116 J

Explanation:

Given:

Mass of baby = 20 kg

Height = 21 m

Find:

Energy in carriage (Potential energy)

Computation:

The energy accumulated in an object as a result of its location relative to a neutral level is known as potential energy.

In carriage accumulated energy is potential energy.

Energy in carriage (Potential energy) = mgh

Energy in carriage (Potential energy) = (20)(9.8)(21)

Energy in carriage (Potential energy) = 4,116 J

Answer:

free points let's gooo

a) The capacitance of the ceramic capacitor is approximately 354.16 pF.

b) The potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.

To calculate the capacitance of the ceramic capacitor, we can use the formula:

C = (ε₀ * εᵣ * A) / d

where:

C is the capacitance,

ε₀ is the vacuum permittivity (approximately 8.854 x 10^(-12) F/m),

εᵣ is the relative permittivity of the ceramic (given as 100),

A is the effective plate area (given as 4 cm², which is equal to 4 x 10^(-4) m²),

d is the separation between the plates (given as 0.1 mm, which is equal to 0.1 x 10^(-3) m).

Let's calculate the capacitance in picofarads (pF):

a) Calculation of capacitance (C):

C = (ε₀ * εᵣ * A) / d

= (8.854 x 10^(-12) F/m * 100 * 4 x 10^(-4) m²) / (0.1 x 10^(-3) m)

= (8.854 x 100 x 4) / 0.1

= 354.16 pF

Therefore, the capacitance of the ceramic capacitor is approximately 354.16 pF.

b) To find the potential difference (PD) between the plates when the capacitor is given a charge of 1.2 μC (microcoulombs), we can use the formula:

PD = Q / C

where:

PD is the potential difference,

Q is the charge (given as 1.2 μC, which is equal to 1.2 x 10^(-6) C),

C is the capacitance (calculated in part a) as 354.16 pF, which is equal to 354.16 x 10^(-12) F).

Let's calculate the potential difference (PD):

b) Calculation of potential difference (PD):

PD = Q / C

= (1.2 x 10^(-6) C) / (354.16 x 10^(-12) F)

= 3.39 x 10^6 V

Therefore, the potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.

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ANSWER: 360metres

EXPLANATION:

Distance= speed × time

=30×12

= 360metres

Explanation:speed=30m/s time=12 sec                                                                                             now,distance=speed x time taken                                                                                                                                   or,distance=30 x 12                                                                                                                                                                                                                                                                         Therefore,distance=360m

Answer:

(a) 6.67 m/s  (b) 3.33 m/s

Explanation:

if i understood your question correctly, the jogger goes 150m east before going in the opposite direction west for 50m. (see diagram)

in avg speed, we use the total distance (150m + 50m = 200m)  and total time (30s)

v = d/t =200/30 =6.67 m/s

in avg velocity, we use the total displacement  (150m - 50m = 100m) and total time (30s)

v= d/t = 100/30 = 3.33 m/s

Answer:

3h/4

Explanation:

At speed v/2 height will be 3/4 h

Equation that describes the motion of point , bodies , and system of bodies without considering the force that cause them to move is called equation of motion in kinematics

When block is at top of first ramp

u=0 ( block was at rest )

a = g ( acceleration due to gravity

using equation of motion                                                                                                                                                                                                                                                                    

2as = v^2 - u^2

2gh = v^2

Then the block continued and reached a speed of v1 = v/2 on second ramp

now , final velocity = v= v1 =\(\sqrt{2gh}\) / 2

u= \(\sqrt{2gh\\}\)

s= h1

using equation of motion , we get

2as = v^2 - u^2

2(-g)h1 =( \(\sqrt{2gh}\)/2)^2 - \(\sqrt{2gh}\)

2(-g)h1 = (g h - 4 g h) / 2

h1 = 3/4 h

At speed v/2 height will be 3/4 h

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Answer:

Gironde Ecosystem is an important biological and cultural area.

Explanation:

The displacement at which the kinetic energy and potential energy of a particle executing SHM will be equal when the amplitude is 3cm is 1.5cm.

The amplitude of simple harmonic motion affects the ratio of kinetic to potential energy at a specific displacement in the following way: as the amplitude increases, the ratio of kinetic to potential energy decreases. This is because the amplitude represents the maximum displacement from the equilibrium position, and as the amplitude increases, the potential energy of the particle increases, while the kinetic energy remains constant. Therefore, at a specific displacement, a particle with a larger amplitude will have a greater proportion of its energy in the form of potential energy, while a particle with a smaller amplitude will have a greater proportion of its energy in the form of kinetic energy.

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Given:

Initial speed of the motorcycle (u) = 35 m/s

Final speed of the motorcycle (v) = 0 m/s (Complete Stop)

Maximum deceleration of the motorcycle (a) = -1.2 m/s²

Required Equation:

\( \boxed{\bf{ v = u + at}}\)

Answer:

By substituting values in the equation, we get:

\( \rm \longrightarrow 0 = 35 + ( - 1.2)t \\ \\ \rm \longrightarrow 0 = 35 - 1.2t \\ \\ \rm \longrightarrow 35 - 1.2t = 0 \\ \\ \rm \longrightarrow 35- 35 - 1.2t = 0 - 35 \\ \\ \rm \longrightarrow - 1.2t = - 35 \\ \\ \rm \longrightarrow \dfrac{ - 1.2t}{ - 1.2} = \dfrac{ - 35}{ - 1.2} \\ \\ \rm \longrightarrow t = 29.167 \: s\)

\( \therefore \) Time taken by motorcycle to come to a complete stop (t) = 29.167 s

a) , it would take approximately 0.4638 seconds for the magnetic energy to decay to 13% of its maximum value.. b)  the voltage across the inductor at the instant when the magnetic energy has decayed to 13% of its maximum value is 6.4 times the initial current in the circuit.

An RL circuit consists of a resistor (R) and an inductor (L) connected in series. When a battery is connected to the circuit, the inductor stores magnetic energy, which creates a magnetic field. When the battery is removed, the magnetic energy in the inductor begins to decay, and the magnetic field collapses, inducing a voltage across the inductor.

a) The time constant (τ) of an RL circuit is given by the formula:

τ = L/R

where L is the inductance in henries, and R is the resistance in ohms. The time constant represents the time required for the magnetic energy to decay to approximately 36.8% of its maximum value.

In this case, L = 5 H and R = 22 ohms. Therefore, the time constant of the circuit is:

τ = L/R = 5 H / 22 ohms = 0.2273 seconds

To calculate the time required for the magnetic energy to decay to 13% of its maximum value, we can use the formula:

t = -ln(0.13) * τ

where ln is the natural logarithm. Plugging in the values, we get:

t = -ln(0.13) * 0.2273 seconds

t = 0.533 seconds

Therefore, it would take approximately 0.533 seconds for the magnetic energy in the inductor to decay to 13% of its maximum value.

b) To find the voltage across the inductor at that instant, we can use the formula:

V = L * di/dt

where V is the voltage across the inductor, L is the inductance, and di/dt is the rate of change of the current in the circuit.

At the instant when the magnetic energy in the inductor has decayed to 13% of its maximum value, the current in the circuit is given by:

I = I0 * e^(-t/τ)

where I0 is the initial current, and e is the mathematical constant approximately equal to 2.71828. Plugging in the values, we get:

I = I0 * e^(-0.533/0.2273)

I = 0.292 * I0

Therefore, the rate of change of current (di/dt) at that instant is given by:

di/dt = I / τ = (0.292 * I0) / 0.2273

Now, we can calculate the voltage across the inductor:

V = L * di/dt = 5 H * (0.292 * I0 / 0.2273)

V = 6.4 * I0 volts

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The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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By attaching a mass of 100 g too spring 1. Play the simulator. Measure the duration of the stopwatch for 10 full cycles. The measured period by dividing the total time by 10 is 2 seconds.

The period of oscillation of the mass on spring 1, you would need to measure the time it takes for the mass to complete 10 complete cycles. You can do this by starting a stopwatch when the mass is in the down position and stopping the stopwatch when the mass returns to the down position after completing 10 cycles. Once you have measured the total time for 10 complete cycles, you can calculate the period by dividing the total time by 10. For example, if the total time for 10 complete cycles is 20 seconds, then the period would be 20 seconds / 10 = 2 seconds. We will call this value Tz.

After measuring the period of oscillation of the mass on spring 1, you should pause the simulator and remove the mass from the hook of the spring. This will allow you to perform any additional measurements or calculations without interference from the mass.

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Answer:c

Explanation: because if you work it in a paper it should like lil wit is straight the numbers are going up by 16

Energy conservation is the principle that energy is neither created nor destroyed, but can only be converted or transferred. It involves using energy-efficient appliances and transitioning to renewable energy sources to reduce consumption and environmental impact.

Energy conservation refers to the principle that energy cannot be created or destroyed; it can only be converted from one form to another or transferred between systems. This principle is based on the law of conservation of energy, also known as the first law of thermodynamics. In other words, the total amount of energy in a closed system remains constant over time.

One example of energy conservation is the use of energy-efficient appliances in households. By using appliances that are designed to minimize energy waste, such as energy-saving light bulbs, efficient refrigerators, or insulated windows, individuals can reduce their energy consumption and lower their electricity bills. These appliances are designed to convert electrical energy into useful forms, such as light or heat, with minimal energy losses.

Additionally, energy conservation plays a crucial role in sustainable practices and environmental preservation. For instance, reducing reliance on non-renewable energy sources like fossil fuels and transitioning to renewable energy sources such as solar or wind power helps conserve natural resources and reduces greenhouse gas emissions.

In summary, energy conservation is the principle that states energy cannot be created or destroyed but can only be converted or transferred between different forms. By adopting energy-efficient practices and utilizing renewable energy sources, individuals and society can contribute to conserving energy and mitigating environmental impact.

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The question probable may be:

Explain the concept of energy conservation and provide an example of how it applies in real-life situations.

Answer:

The drop in temperature overnight causes a decrease in the average kinetic energy of the air molecules inside the tires. According to the ideal gas law, this leads to a decrease in tire pressure. The low tire pressure light in vehicles is triggered when the pressure falls below a certain threshold, alerting the driver to check and adjust the tire pressure.

Explanation:

The ideal gas law, represented by the equation PV = nRT, relates the pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas. In this case, we can analyze how the drop in temperature affects the tire pressure.

When the temperature drops, according to the ideal gas law, the pressure of a gas will decrease if the volume and the number of moles remain constant. This is because the decrease in temperature causes a decrease in the average kinetic energy of the gas particles, leading to less frequent and less forceful collisions with the tire walls, resulting in a decrease in pressure.

In the context of the tire pressure, the air inside the tires behaves as an ideal gas. When the temperature drops overnight, the air inside the tires also cools down, causing a decrease in its temperature. As a result, the average kinetic energy of the air molecules decreases, leading to a decrease in pressure inside the tires.

The low tire pressure light comes on as a result of this drop in pressure. The tire pressure monitoring system in modern vehicles is designed to detect significant deviations from the recommended tire pressure. When the pressure drops below a certain threshold, typically due to temperature changes or a puncture, the light is triggered to alert the driver to check and adjust the tire pressure.

Therefore, the drop in temperature overnight causes a decrease in the average kinetic energy of the air molecules inside the tires, resulting in a decrease in tire pressure, which triggers the low tire pressure warning light.

Hope this helps!

Answer:

force is the amount of work or pressure given to an object

motion is the action of moving one place to another place

Answer:

12.25m/s

Explanation:

\(d=v_ot+\dfrac{1}{2}at^2\)

Since the initial velocity of the dropped rock is 0, you can write this as:

\(d=\dfrac{1}{2}(9.8)(3)^2=44.1m\)

Now, you can set up the equation for the thrown rock:

\(44.1=v_o(2)+\dfrac{1}{2}(9.8)(2)^2 \\\\\\44.1=2v_o+19.6 \\\\\\2v_o=24.5 \\\\\\v_o=12.25m/s\)

Hope this helps!

i think correct answer is b

Answer:

Explanation:

Answer:

The  value is   \(\alpha =  0.002 Np/m\)

Explanation:

From the question we are told that

  The first amplitude of the wave is  \(E_{max}1 =  98.02 \  V/m\)

  The first  depth  is  \(D_1 =  10 \  m\)

   The second amplitude is  \(E_{max}2 =  81.87 \  (V/m)\)

   The second depth is \(D_2 = 100 \ m\)

Generally from the spatial wave equation we have

   \(v(x) =  Ae^{-\alpha d}cos(\beta x  + \phi_o)\)

=>       \(\frac{v(x)}{v(x)} =\frac{  Ae^{-\alpha d}cos(\beta x  + \phi_o)}{ Ae^{-\alpha d}cos(\beta x  + \phi_o)}\)

So considering the ratio of the equation for the  two depth

\(\frac{A}{A_S}  =  \frac{e^{-D_1 \alpha }}{e^{-D_2 \alpha }}\)

=>   \(\frac{98.02}{81.87}  =  \frac{e^{-10 \alpha }}{e^{-100 \alpha }}\)

=>   \(\alpha  =  \frac{0.18}{90}\)

=>    \(\alpha =  0.002 Np/m\)

Answer:analize a afirmacao a seguir e tudo que envolve o gerenciamento da marca e que ultrapassa as acoes com objetivos economicos e refere se a cultura principios e valores

Explanation:

Answer:

The horizontal range of the cannonball is 9180.4 meters.

Explanation:

The horizontal range of a cannonball can be calculated using the following formula:

range = (speed * speed * sin (2 * angle)) / acceleration due to gravity

In this case, we are given that the cannon is fired at an angle of 45 degrees and that the speed of the ball is 300 m/s. We can plug these values into the formula to calculate the horizontal range of the ball:

range = (300 * 300 * sin (2 * 45)) / 9.8

= (90000 * sin (90)) / 9.8

= (90000 * 1) / 9.8

= 9180.4 m

Answer:

3500N

Explanation:

Given parameters:

Mass of driver  = 50kg

Speed  = 35m/s

Time  = 0.5s

Unknown:

Average force the seat belt exerts on her = ?

Solution:

The average force the seat belt exerts on her can be deduced from Newton's second law of motion.

   F = mass x acceleration

So;

     F  = mass x  \(\frac{change in velocity }{time}\)

  F  = 50 x \(\frac{35}{0.5}\)    = 3500N

Answer:

A) 58 km

B) 30 mins

Explanation:

In pic details

graph in pic