Calculate the momentum of a 953kg elephant running at a rate of 3.85 m/s.

The properties that Mg, Ca and K do not have in common is "same number of valence electrons."

In the periodic table, elements are classified into groups and periods. The groups of elements show the relationships between them in terms of reactivity, valence electrons and physical properties.

Elements in the same group have the same number of valence electrons. However, Ca, K and Mg are not in the same group so they can not have the same number of valence electrons. Ca and Mg has two valence electrons while K has only one valence electron.

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(a) The duration of impact of the hammer is [tex]\fbox{\begin\\1.43 \times {10^{ - 3}}\,{\text{s}}\end{minispace}}[/tex] .

(b) The average force exerted on the nail is [tex]\fbox{\begin\\2205\,{\text{N}}\end{minispace}}[/tex].

Further explanation:

When hammer hit the nail it got impacted by the hit and get into the board. This insertion in the board take time which is called duration of impact. The force exerted on the nail is directly proportional to the acceleration of the nail.

Given:

The speed of hammer is [tex]7\,{\text{m/s}}[/tex].

The distance of nail which is inserted in the board is [tex]1\,{\text{cm}}[/tex].

The mass of the hammer is [tex]0.450\,{\text{Kg}}[/tex].

Concept used:

The rate of change of displacement of a body in unit time is called speed of the body. It is a scalar quantity.

The expression for the speed of the body is given as.

[tex]v = \dfrac{s}{t}[/tex]

Rearrange the above expression for the time.

[tex]t=\dfrac{s}{v}[/tex]                                               …… (1)

Here, [tex]s[/tex]  is the distance covered, [tex]v[/tex]  is the speed of body and [tex]t[/tex]  is the time.

According to Newton’s second law of motion “the rate of change of momentum is equal to the force applied on the body.”

The expression for the newton’s law is given as.

[tex]F = ma[/tex]                                          ……. (2)

The expression for the acceleration of the body is given as.

[tex]\fbox{\begin\\a = \dfrac{{\left( {v - u} \right)}}{t}\end{minispace}}[/tex]                                           …… (3)

Here, [tex]u[/tex]  is the initial velocity and [tex]v[/tex]  is the final velocity.

Substitute [tex]1\,{\text{cm}}[/tex] for [tex]s[/tex] and [tex]7\,{\text{m/s}}[/tex]  for [tex]v[/tex] in equation (1).

[tex]\begin{aligned}t&=\frac{{1\,{\text{cm}}}}{{7\,{\text{m/s}}}}\\&=\frac{{1\,{\text{cm}}\left( {\frac{{1\,{\text{m}}}}{{100\,{\text{cm}}}}} \right)}}{{7\,{\text{m/s}}}}\\&=1.43 \times {10^{ - 3}}\,{\text{s}} \\ \end{aligned}[/tex]

Substitute [tex]1.43 \times {10^{ - 3}}\,{\text{s}}[/tex] for [tex]t[/tex], for[tex]0\,{\text{m/s}}[/tex]  and [tex]v[/tex]  for  in equation (3).

[tex]\begin{gathered}a= \frac{{\left( {0\,{\text{m/s}} - 7\,{\text{m/s}}} \right)}}{{\left( {1.43 \times {{10}^{ - 3}}\,{\text{s}}} \right)}} \\= \left( { - 4900\,{\text{m/}}{{\text{s}}^{\text{2}}}} \right) \\ \end{gathered}[/tex]

Substitute[tex]\left( { - 4900\,{\text{m/}}{{\text{s}}^{\text{2}}}} \right)[/tex] for [tex]a[/tex]  and [tex]0.450\,{\text{Kg}}[/tex]  for [tex]m[/tex]  in equation (2).

[tex]\begin{aligned}F&=\left( {0.450\,{\text{Kg}}} \right)\left( { - 4900\,{\text{m/}}{{\text{s}}^{\text{2}}}} \right)\\&=- 2209\,{\text{N}} \\ \end{aligned}[/tex]

Thus, the duration of impact is[tex]1.43 \times {10^{ - 3}}\,{\text{s}}[/tex]  and the force exerted on the nail is [tex]2209\,{\text{N}}[/tex]  in the opposite direction.

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Answer Details:

Grade: College

Subject: Physics

Chapter: Kinematics

Keywords:

Acceleration, force, acceleration due to gravity, friction, normal, weight, mass, motion, impact, nail, hammer, acceleration, duration of impact, 0.450 kg, 7 m/s, 2205 N,1.429*10^-3 sec, 1.43*10^-3 sec.

The duration of the impact is 0.133 seconds.

The average force exerted on the nail was 5800 N.

(a) Let's use the following equations to solve this problem:

m = 0.450 kg

v_i = 7.00 m/s

v_f = 0 m/s

d = 0.01 m

where:

m is the mass of the hammer

v_i is the initial velocity of the hammer

v_f is the final velocity of the hammer (after it strikes the nail)

d is the distance that the nail is driven into the board

We know that the hammer comes to rest after it strikes the nail, so v_f = 0. We can also set the kinetic energy of the hammer before the impact equal to the work done by the force exerted by the nail on the hammer during the impact.

[tex]KE_i = W\dfrac{1}{2}mv_i^2 = Fd\dfrac{1}{2}(0.450 kg)(7.00 m/s)^2 = F(0.01 m)F = 5800 N[/tex]

The duration of the impact can be calculated using the following equation:

[tex]t = \dfrac{d}{v_i}t = \dfrac{0.01 m}{7.00 m/s}t = 0.0133 s[/tex]

(b) The average force exerted on the nail is equal to the force exerted by the hammer on the nail divided by the duration of the impact.

F_avg = F / t

F_avg = 5800 N / 0.0133 s

F_avg = 5800 N

Therefore, the average force exerted on the nail was 5800 N.

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The objective lens makes a small real image of the object so that the eyepiece lens can act as a magnifying glass and produce an enlarged image of the objective lens's image. This is how

Refracting telescopes typically use two convex lenses one is objective lenses and the other is an eyepieces.

Enlargement is related to the magnification and magnification is directly proportional to the focal length of the objective lens. The objective have large focal length in order to see distant objects as enlarged .The objective  lens collects light from a distant object and brings that light to a focal point to create an image. Hence it ensures large magnification of the distant object

The refracting telescope works by bending light with lenses. The objective lens makes a small real image of the object so that the eyepiece lens can act as a magnifying glass and produce an enlarged image of the objective lens's image

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To determine the initial temperature of the inside room, we can convert the given temperatures from Fahrenheit to Celsius and calculate the temperature change. By using the temperature change and the final temperature in Celsius, we can find the initial temperature in Celsius. The initial temperature of the inside room is approximately 27.22°C.

To find out the initial temperature of the inside room, we can use the relationship between Fahrenheit and Celsius scales. We know that 30°F is equal to -1.11°C, and 80°F is equal to 26.67°C. By converting these temperatures to Celsius, we can determine the temperature change. Then, using the final temperature of 55°F, we can calculate the initial temperature using the temperature change.

To convert Fahrenheit to Celsius, we use the formula:

TC = (TF - 32) × (5/9)

By plugging in the given temperatures, we find:

TC1 = (30 - 32) × (5/9) ≈ -1.11°C

TC2 = (80 - 32) × (5/9) ≈ 26.67°C

Next, we calculate the temperature change:

ΔT = TC2 - TC1 = 26.67 - (-1.11) = 27.78°C

Finally, we use ΔT and the final temperature (TC=55°C) to find the initial temperature:

Initial temperature = final temperature - ΔT

Initial temperature ≈ 55 - 27.78 ≈ 27.22°C

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The resistor that dissipates the most power varies depending on the configuration of the circuit. In a series circuit, the resistor with the greatest resistance dissipates the most power due to the greater voltage drop across it. In a parallel circuit with a constant voltage source, the resistor with the smallest resistance dissipates the most power because it allows for the greatest current.

In a circuit, power dissipation is based on the formula, P = IV, also known as Joule's law. Substituting Ohm's law (V = IR) into this formula gives us a better understanding of how resistance affects power. This results in the formula P = I²R, meaning that power is directly proportional to the resistance when current is constant.

Therefore, a higher resistor value would, in theory, dissipate more power. However, in a series circuit where every resistor has the same current flowing through them, the resistor providing the greatest resistance will have the highest voltage (V) drop, hence dissipating more power.

Conversely, if the resistors are connected in parallel, the smallest resistor dissipates more power because it allows for the greatest current, provided the voltage source remains constant.

The discussion on power dissipation in resistors links to the P = V²/R equation, suggesting that lower resistance yields higher power when voltage is consistent. Therefore, your circuit configuration and the constants in the equation play crucial roles in determining which resistor dissipates the most power.

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The power dissipated by a resistor depends on whether the voltage or current is constant. With constant voltage, a lower resistance dissipates more power. With constant current, a higher resistance dissipates more power.

To determine which resistor dissipates the most power, we need to consider the power dissipation formulas. Power in a resistor can be calculated using two key formulas:

P = V² / R and P = I² R.

P = V² / R: When the voltage (V) across the resistor is constant, power decreases as resistance (R) increases. Therefore, with the same voltage applied, a resistor with a lower resistance will dissipate more power.

P = I² R: When the current (I) through the resistor is constant, power increases as resistance increases. Therefore, with the same current, a resistor with a higher resistance will dissipate more power.

These two formulas may seem contradictory at first, but they apply in different scenarios. In a circuit where voltage is constant, a lower resistance leads to higher power dissipation. In contrast, in a circuit where current is constant, a higher resistance leads to higher power dissipation.

Therefore, whether a resistor with the greatest or least resistance dissipates the most power depends on whether the voltage across the resistor or the current through the resistor is constant.

Answer:

C. high frequency  

Explanation:

Bats use high frequency sound waves -ultra sound (20 to 200 kHz) to locate their prey via a technique -echolocation. The produce these sound waves and when the waves reflect from a prey nearby, they are able to estimate the size, position and speed of their prey. The human hearing range is up to 20 kHz, so we can hear the sound produced by some of the bats.

Answer: The correct answer is transmission.

Explanation:

Sound is a form of energy. The energy that survives the transfer is called the sound transmission. If the energy gets absorb then the sound is not heard to the listener. In this case, the absorption will occur.

People are able to hear footsteps because the sound made by a foot hitting the floor travels through the air to reach their ears.  In this case, the sound transmission will occur as the footsteps can be heard. It means that the energy is transferred here.    

The ratio of the radii of the circular paths of a proton and an electron with the same kinetic energy in a constant magnetic field can be determined using the formula for the radius of curvature of a charged particle in a magnetic field.

The ratio of the radii of the circular paths of a proton and an electron with the same kinetic energy in a constant magnetic field can be determined using the formula for the radius of curvature of a charged particle in a magnetic field. The formula is:

r = mv / (qB)

Where:

Since the kinetic energy of the proton and electron is the same, their velocities will be different due to their different masses. This means that the ratio of their radii of curvature will be different. To find the ratio, we can use the formula:

r_proton / r_electron = (m_electron / m_proton) * (v_proton / v_electron)

Where:

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Answer:

First law

Explanation:

The gravity of the Sun causes the planets to move in a circular path. This is due to first law of motion. The first law states that an object will be at rest and an object will be in motion until no external force acts on it.

It is possible due to sun's gravity pull that the planets move in a circular path. Without sun's gravity the planet would move in a straight line. Hence, the correct option is (a) " first law of motion".

Answer:

The correct answer is option D.

Explanation:

Acoustic : A branch of physics which study the properties of sound.

Consonance: Combination of notes occurring simultaneously due to relationship between their respective frequencies.

Timbre: A characteristic of a musical note which makes it distinct from another wave which also have same pitch and intensity.

Dissonance :When combination of two notes are played simultaneously with lack of harmony in between them.

Hence, the correct answer is option D.

Answer:

D. DISSONANCE

Explanation:

The velocity function can be found by differentiating the position function. The velocity after 1 second is -0.02 ft/s. The particle is at rest at t = 0 and t = 1.5 seconds.

(a) To find the velocity at time t, we can differentiate the position function. The derivative of f(t) = 0.01t^4 - 0.02t^3 is v(t) = 0.04t^3 - 0.06t^2. So, the velocity function is v(t) = 0.04t^3 - 0.06t^2 ft/s.

(b) To find the velocity after 1 second, we substitute t = 1 into the velocity function. v(1) = 0.04(1)^3 - 0.06(1)^2 = -0.02 ft/s.

(c) The particle is at rest when its velocity is equal to zero. To find the time(s) the particle is at rest, we set v(t) = 0 and solve for t. So, the particle is at rest at t = 0 and t = 1.5 seconds.

(d) The particle is moving in the positive direction when its velocity is positive. To find the time(s) the particle is moving in the positive direction, we look for the intervals where v(t) > 0. The particle is moving in the positive direction when 0 < t < 1.5 seconds.

(e) The total distance traveled during the first 12 seconds can be found by finding the area under the velocity-time graph. We integrate v(t) from 0 to 12 seconds. The total distance traveled during the first 12 seconds is approximately 96 ft.

(f) To find the acceleration at time t, we differentiate the velocity function. The derivative of v(t) = 0.04t^3 - 0.06t^2 is a(t) = 0.12t^2 - 0.12t ft/s^2.

(g) To find the acceleration after 1 second, we substitute t = 1 into the acceleration function. a(1) = 0.12(1)^2 - 0.12(1) = 0 ft/s^2.

ANSWER: Ian is demonstrating a typical example of Observational Learning. An observational learning is a learning pattern which happens by observing the behavior of others. People generally follows a role model such as parent, sibling, relative or teachers and imitate them while they are doing their work, particularly in childhood. There are four steps of observational learning which are Attention, Memory, Initiation and Motivation.

Using the formula for the voltage across a capacitor (V = Q/C), and given the charge on the capacitor (Q) and its capacitance (C), we find that the emf of the battery is 1 Volt.

The question is asking for the electromotive force (emf) of the battery. To determine this, we apply the formula for voltage across a capacitor: V = Q/C, where V is the voltage (or in this case, the emf of the battery), Q is the charge on the capacitor, and C is the capacitance of the capacitor.

Given Q = ±30µC (or 30x10^-6 C) and C = 30µF (or 30x10^-6 F), we substitute these values into the formula:  

V = (30x10^-6) / (30x10^-6)  

Therefore, the emf of the battery is 1 Volt.

This means that when the battery is fully charged, the voltage across the capacitor is also 1 Volt.

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The question involves concepts of heat transfer and thermal equilibrium in physics, where two spheres reach thermal equilibrium through the transfer of heat, and how a spherical object equilibrates with its ambient temperature.

The question appears to be related to the concept of heat transfer and thermal equilibrium in Physics, specifically involving spherical objects and changes in their temperatures when placed in different environments or in contact with each other.

When considering two spheres of the same material but at different initial temperatures brought into thermal contact, the process involves the transfer of thermal energy from the hotter sphere to the cooler one until they reach a state of thermal equilibrium. This principle is grounded in the second law of thermodynamics, which states that heat energy flows from areas of high temperature to areas of low temperature until thermal equilibrium is achieved. The final temperature reached by both spheres depends on their masses and specific heat capacities, as well as their initial temperatures.

The phenomenon of thermal equilibrium is also apparent when exposing a spherical object to a different ambient temperature, as mentioned in parts of the question. The rate of heat transfer and the time taken for the sphere to reach the temperature of its surroundings can be analyzed using thermodynamics and heat transfer equations, including concepts like conduction, convection, and radiation.

Answer: D

expends the least amount of energy for the greatest result

Explanation:

edge 2020

Answer:

Land breeze occurs at night

Explanation:

Land breeze is usually defined as the wind that blows from the land areas to the ocean surface. It occurs during the night time. It is because the land areas have the ability to release heat at a faster rate, in comparison to the ocean water bodies. When the land areas cools, the wind carries the cold and denser prevailing air and reaches the ocean surface in order to balance the warm rising air from the oceans. This is how the heat on earth is being balanced by the simultaneous occurrence of land and sea breeze.

The location in space where Earth's and the Moon's gravitational attractions are equal is closer to the Moon due to its significantly lesser mass compared to Earth. By applying Newton's law of universal gravitation, it can be deduced that this point must be nearer the Moon, as Earth's stronger gravitational force diminishes with increasing distance.

The gravitational attraction between two objects depends on both their masses and the distance between them, according to Newton's law of gravitation. The force of gravity is proportional to the product of the two masses and inversely proportional to the square of the distance between their centers of mass. Based on the data provided, the Earth's gravitational force is much stronger than that of the Moon due to its greater mass. However, as the distance from the Earth increases, its gravitational pull weakens.

Given that the mass of the Moon is about 1/81 of the Earth's mass and the distance from the Earth to the Moon is approximately 3.80×105 km, there exists a point where the gravitational forces exerted by Earth and the Moon on an object are equal, known as the Lagrange point L1. This point is closer to the Moon than to Earth because the Moon's weaker gravitational force requires a shorter distance to match the stronger gravitational force of the Earth. To find this exact point, one would use the formula from Newton's law of gravitation and set the forces equal to each other, solving for the distance from Earth at which this equilibrium occurs.

Considering the information provided about the distances and gravitational forces, we can infer that the space pod mentioned in the question, at the point where Earth's and the Moon's gravity cancel each other out, would indeed be closer to the Moon. This is a consequence of the vast difference in mass between the Earth and the Moon and the inverse-square law of gravity.