The idea that objects (in the absence of an outside force) tend to continue doing what they are already doing is called the law of inertia.
The law of inertia states that an object at rest will remain at rest, and an object in motion will continue moving with a constant velocity in a straight line unless acted upon by an external force.
The law of inertia helps to understand the concept of momentum, which is the product of an object's mass and velocity. According to Newton's first law, an object with greater mass will require more force to change its state of motion compared to an object with lesser mass.
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If the mass of the tritium nucleus is 3.02 universal mass units and the mass of the helium nucleus is 4.00 universal mass units, how much energy (in Megaelectronvolts) is absorbed as the tritium decays into helium?
Answer: the answer is a
Explanation just did the test
A 500 kg crate is pushed horizontally with a force of 1500 N. If the coefficient of friction is 0.25, calculate the acceleration of the crate.
\(ma=F-fmg\\a=\frac{F-fmg}{m}=\frac{1500-0.25*500*10}{500} =\frac{1}{2}[\frac{m}{s^2}]\)
the manufacturer of a 12 v car headlight specifies it will draw a current of 6 a. you would like to check this claim with an ammeter designed to measure currents up to 10 a and having a resistance of 0.1 ohms. which of the two circuits in the attached figure represents a circuit where the ammeter correctly measures the current in the headlight?
Since an ammeter is meant to measure current and is a low resistance device, it is always connected in series with the circuit element through which current is to be measured.
What is electric current?Current of a system is defined as the rate at which the electrons flow from a given point in the absolute electrical circuit.
a. Since, Current in two or more components connected in series is always the same. So circuit (a) will be used.
b. As per manufacturer's claim, resistance of bulb r = V /I.
= 12 /6 = 2 Ω.
Total resistance in circuit a, R = 2 +0.1 = 2.1 A
Ammeter reading I' = V /R
= 12 /2.1 = 5.71 A
Which is close enough to claimed value of 6 A.
c. Now the bulb and ammeter are connected in parallel, so the voltage across both will be the same.
Current through ammeter I' = V /Ra = 12 /0.1 = 120 A
Which is 20 times greater than claimed value.
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The question is incomplete, but most probably the complete question is,
The manufacturer of a 12V car headlight specifies it will draw a current of 6A. You would like to check this claim with an ammeter designed to measure currents up to 10Aand having a resistance of 0.1 Ohms.
a)Which of the two figures represents a circuit where the ammeter correctly measures the current in the headlight?
b) How much current (in A) would flow in the ammeter for Circuit a?
c) How much current (in A) flows through the ammeter for Circuit b?
a 16.0 child descends a slide 2.20 m high and reaches the bottom with a speed of 1.25 m/s . how much thermal energy due to friction was generated in the process
The thermal energy generated due to friction in the process of a 16.0 kg child descending a slide 2.20 m high and reaching the bottom with a speed of 1.25 m/s can be calculated using the formula
E = mgh - (1/2) mv2.
Here, E is the thermal energy generated, m is the mass of the child (16.0 kg), g is the acceleration due to gravity (9.8 m/s2), h is the height of the slide (2.20 m) and v is the speed of the child at the bottom of the slide (1.25 m/s).
Therefore, the thermal energy generated due to friction is
E = 16.0 kg * 9.8 m/s2 * 2.20 m - (1/2) 16.0 kg * 1.25 m/s2 = 15.2 J.
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a car drives at 88 km/h over a distance of 22 kilometers calculate in minutes the time taken for the audi to travel this distance
V=88 km/h d=22km t=? if d/t=V t=d/V t=22km/88km/h
t=0,25h
t=1500min
i hope this helps
How would you calculate the total distance traveled by a particle on [0, Ï], given that the velocity is
v(t) = - sin( t - Ï/4 ) ?
The calculate the total distance traveled by a particle on [0, Ï], we need to find the absolute value of the area under the velocity curve. This is because distance is the magnitude of displacement, which can be negative or positive depending on the direction of motion, but the area under the curve represents the total magnitude of the motion.
The start by finding the antiderivative of the velocity function v(t) = -sin (t - Ï/4) ∫v(t) dt = ∫-sin (t - Ï/4) dt = cos (t - Ï/4) + C
Next, we the antiderivative at the bounds of integration cos(Ï) - cos (0 - Ï/4) = cos(Ï) - cos(Ï/4) Finally, we take the absolute value of the difference between the two evaluated antiderivatives to get the total distance traveled:
|cos(Ï) - cos(Ï/4) | This is the answer to the question, expressed in 200 words. The total distance traveled by a particle on [0, Ï], given that the velocity is v(t) = -sin (t - Ï/4), is |cos(Ï) - cos(Ï/4) |. We find the total distance traveled by taking the absolute value of the difference between the antiderivative of the velocity function evaluated at the bounds of integration. This approach works because distance is the magnitude of displacement, which can be negative or positive, but the area under the curve represents the total magnitude of the motion.
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What is the speed of a wave in (m/s) with a 5 meter wavelength and a period of 20 seconds?
Answer: 0.25 m/s
Explanation: Speed = wavelengt · frequency
v = λf and frequency is 1/period f = 1/T
Then v = λ/T = 5 m / 20 s = 0.25 m/s
Which of the following statements describes an interaction between the geosphere and biosphere?
A. Soil acidity affects plant growth.
B. Polar animals find their habitat in frozen ice.
C. Wind energy is used to create electrical power.
D. Level of precipitation has an impact on crop yield.
What would be the weight of a 59.1-kg astronaut on a planet twice as massive as Earth and having twice Earth's radius
Answer:
29.55 kg
Explanation:
force gravity = G m1 m2 / (r^2) now change the mass 1 and the r
= G 2m1 m2 / ( 2r)^2
= 2/4 G m1 m2 / (r^2)
the weight will be 2/4 or 1/2 the original
calculate the force needed to give a car of mass 1200kg an acceleration of 0.6m/s²
Help asap please
Answer:
720N
Explanation:
force=mass × acceleration
=ma
= 1200×0.6
=720
the s.i unit of force is Newtown therefore the answer is 720N
an object that is accelerating may be
It must be either speeding up, or slowing down, or turning. There are no other possibilities.
for an isotropic point source of light, how does the light's intensity depend on the distance from the source
The light's intensity from an isotropic point source decreases inversely with the square of the distance from the source. intensity of light plays a significant role in determining its effect on the surrounding environment.
An isotropic point source of light emits light uniformly in all directions. As the light spreads out from the source, it becomes more spread over a larger surface area. Therefore, as the distance from the source increases, the same amount of light is spread over a larger area, resulting in a decrease in intensity.
Mathematically, the relationship between intensity (I) and distance (r) from the source can be expressed as:
I ∝ 1/r^2
The distance doubles, the intensity decreases by a factor of four. Similarly, if the distance triples, the intensity decreases by a factor of nine, and so on.
For an isotropic point source of light, the intensity of the light decreases inversely with the square of the distance from the source. Understanding this relationship is crucial in various fields, such as optics and lighting design, where the intensity of light plays a significant role in determining its effect on the surrounding environment.
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the hallway in kim's house is 4.63 m long. her kitchen is 0.0049 km long. which is longer, the hallway or the kitchen? how much longer?
By 0.27m, the kitchen is farther than the hallway. Because Kim's home's hallway is 4.63 metres long. The distance of her kitchen is 0.0049 kilometres. The distance is same in any velocity.
Distance is measured numerically or sporadically qualitatively. far apart certain things or points are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. Purposes In disciplines that study human behaviour, such the social sciences, qualitative measurements are frequently used. The rate of change in an object's position relative to a frame of reference is called velocity, and it depends on time.
4.9m is equal to 0.0049 km;
the difference is equal to 4.9 - 4.63;
and the difference is equal to 0.27.
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Which type of radio broadcast has a greater broadcast range, AM or FM? Explain.
Many villages in the developing world lack electricity. One proposed solution is the 'Free Electric Bike.' Pedaling the stationary bike spins the flywheels (heavy weighted wheels on the outside that create an even power output), which in turn drive an electric generator, which creates electricity, which is stored in a battery for usage. The inventor claims that 1 hour of pedaling can produce a day's worth of electricity. Let's put this to the test!
This can be tough to figure out conceptually, so just get as far with it as you can. I recommend that you start by diagramming the energy conversions with a flow chart.
Assume the following:
The Human body is 25% efficient in converting food to mechanical kinetic energy
Over 1 hour, the average adult can maintain a mechanical power output (i.e., power delivered to the bicycle pedals) of 125W.
For every 100 Joules of energy delivered to the bicycle pedals, 60 J of energy is ultimately stored as usable potential energy in the batteries.
Fully charging a tablet takes 24 Wh of energy, fully charging a cell phone takes 10 Wh of energy, and using small LED bulbs consumes 8 W of power.
a) Energy delivered to the bike: How much mechanical energy (in kWh) will a person generate in one hour of biking?
b) Energy available for household use: How much electricity (in kWh) is stored in the batteries from this one hour of biking?
c) Household electricity: If a household charges 100% of a cell phone and 25% of a tablet every day how much electricity (in kWh) is left over for the lightbulbs? If they use lightbulbs for 4 hours a night, how many lightbulbs would this power?
Energy delivered to the Bike = 0.125 kWh
Energy stored in the batteries = 27000 J
Energy left for lighting bulbs = 91 Wh
Number of light bulbs is two lightbulbs for 4 hours each.
What is the energy delivered to the Bike?a. Energy delivered to the Bike is calculated as follows:
Energy = power * time
Energy delivered to the Bike = 125 W * 1 hour
Energy delivered to the Bike = 125 Wh
Energy delivered to the Bike = 0.125 kWh
b. Energy delivered in Joules = 0.125 kWh = 0.125 * 1000 * 3600
Energy delivered in Joules = 450,000 J
The energy stored in the batteries = 60 /100 * 450,000 J
The energy stored in the batteries = 27000 J
Fully charging a tablet takes 24 Wh of energy
Fully charging a cell phone takes 10 Wh of energy,
Using small LED bulbs consumes 8 W of power.
Energy consumed by LED bulbs for 4 hours = 8 * 4 = 32 Wh
Energy left for lighting bulbs = 125 - (24 + 10) = 91 Wh
Number of light bulbs = 91 Wh/32 = 2.84
Therefore, it can light two lightbulbs for 4 hours each.
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Which of the following is NOT a product of science?
Answer:
D, None of these.
Explanation:
They have science in them but its not a product.
A professional skier starts from rest and reaches a speed of 48 m/s on a ski slope angled 22.0° above the horizontal. Using the work-kinetic energy theorem and disregarding friction, find the minimum distance along the slope the skier would have to travel in order to reach this speed.
The work-kinetic energy theorem states that the work done by the net force acting on an object is equal to the change in its kinetic energy. Answer is 310 M.
W = 1/2mvf2 W = Fd = mgdmgdsin = 1/2 mvf2.
Is this logical in light of the circumstances? Although that makes logical to me, one of my pupils is certain it is wrong. He claims that the cos should be used instead of the sin. The answer and the key are in agreement. I want to be able to lay out the facts for him.
Hence the minimum distance along the slope the skier would have to travel in order to reach this speed is 310 M.
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Gwen runs back and forth along a straight track. During the time interval 0≤t≤45 seconds, gwen’s velocity, in feet per second, is modeled by the function v given by v(t)=250sin(t2120)t 6
Gwen's position is a function of his velocity and time
Gwen's position at 45 seconds is 63.9 feet
How to determine Gwen's position at 45 seconds?The function is given as:
v(t) = 250sin(t^2/120)/(t + 6)
When t = 45, we have:
v(45) = 250sin(45^2/120)/(45 + 6)
Evaluate the sum, the exponent and the quotient
v(45) = 250sin(16.875)/(51)
Evaluate the sine ratio
v(45) = 250 * 0.2903/51
Evaluate the product and quotient
v(45) = 1.42
The position is then calculated as:
S(45) = v(45) * 45
This gives
S(45) = 1.42 * 45
Evaluate the product
S(45) = 63.9
Hence, Gwen's position at 45 seconds is 63.9 feet
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The displacement is the shortest between any two given points. The displacement of Gwen at the time period of 45 seconds is 63.9 feet.
What is displacement?The displacement is the shortest between any two given points. It is the product of velocity and time.
Given that the function of the velocity is \(v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}\). Therefore, substitute the value of t as 45, to know the velocity of Gwen at 45 seconds,
\(v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}\)
\(v(45)=\dfrac{250\sin\left(\frac{45^{2}}{120}\right)}{\left(45+6\right)}\\\\v(45) = 1.42\)
Since displacement is the product of velocity and time, therefore, the displacement is equal to,
\(s = v \times t\\\\s = 1.42 \times 45\\\\s = 63.9\rm \ feet\)
Hence, the displacement of Gwen at the time period of 45 seconds is 63.9 feet.
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List and describe the 5 health reaped components of fitness.
Answer:
(1) body composition, (2) flexibility, (3) muscular strength, (4) muscular endurance, and (5) cardiorespiratory endurance.
A box of weight W = 500 N is set on a light plank d = 5 meters from a fulcrum. A force F is applied to the plank on the opposite side of the fulcrum a distance D = 10 meters from the fulcrum, as shown. What minimum force is required to lift the box?
Given data
*The weight of the box is W = 500 N
*The distance of the plank from the fulcrum is d = 5 m
*The given force at a distance from the fulcrum is D = 10 m
The minimum force is required to lift the box is given by the net torque as
\(\begin{gathered} \tau=0 \\ W\times d-F\times D=0 \\ W\times d=F\times D \end{gathered}\)Substitute the known values in the above expression as
\(\begin{gathered} 500\times5=F\times10 \\ F=250\text{ N} \end{gathered}\)Hence, the minimum force is required to lift the box is F = 250 N
how deep is a fathom
6 feet deep is a fathom .
What is fathom ?
A fathom is a unit of length that is used primarily to measure the depth of water in nautical and maritime applications. It is equivalent to 6 feet (1.83 meters) and is used to describe the depth of water in terms of the distance from the surface of the water to the ocean floor.
The word "fathom" comes from the Old English word "fæðm," which means "the outstretched arms." The term was used to describe the length of a human outstretched arms, which was approximately 6 feet.
In nautical and maritime applications, fathoms are used to measure the depth of water in harbors, shipping lanes, and other areas where ships and boats operate. This information is important for navigation, as it helps sailors and mariners to avoid shallow waters and potential hazards.
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a container that is a pressure tank, has a convex head, possesses a capacity of approximately 2,000 pounds (907 kg), and commonly contains chlorine is an example of a(n):
The pressure tank is an essential component of many industrial processes, allowing for the safe and reliable storage of fluids and gases under high pressure.
A pressure tank is a container designed to store fluids and gases under high pressure. This type of container has a convex head, which means that the head of the container curves outward, allowing for more storage capacity. The container can store around 2,000 pounds (907 kg) of fluid or gas under high pressure, and is commonly used to store chlorine, which is a corrosive gas that can cause damage to other materials. The pressure tank is an example of a storage container that is designed to hold substances under high pressure.
These types of containers are typically used in industrial applications, such as chemical manufacturing, oil and gas production, and other high-pressure applications. The pressure tank is a reliable and durable container that is designed to withstand extreme conditions and protect the stored materials from contamination or damage. Pressure tanks are commonly used in the chemical industry to store and transport hazardous chemicals. They are also used in the oil and gas industry to store and transport natural gas and other gases. These containers are carefully designed to meet strict safety standards and regulations, ensuring that they are safe for use in various industrial applications.
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What are the layers of the Sun, starting from the center and moving outward?
Answer:
There are three main parts to the Sun's interior: the core, the radiative zone, and the convective zone. The core is at the center. It the hottest region, where the nuclear fusion reactions that power the Sun occur. Moving outward, next comes the radiative (or radiation) zone.
Answer:
B.core, radiative zone, convective zone, and photosphere
Explanation:
Edge 2021
this curve shows the distribution of atomic speeds calculated from an experiment in which particles of gas are projected through an apparatus as shown on page 217 of your textbook. how would the distribution of speeds change if the temperature of the gas were increased?
The speed of molecules in a gas varies inversely with molar mass of the gas and is inversely related to temperature.
What happens to the particles of gas if put in high temperature?Gases have fast-moving particles that regularly collide with one another and the container's side as they move quickly in all directions. The particles gain kinetic energy and accelerate with an increase in temperature. A gas molecule therefore moves at an average speed of 500 m/sec. The speed of sound in a gas is approximately 340 m/s.
Therefore, there is a relationship between the average kinetic energy of the gas molecules and its temperature. The average kinetic energy of gas particles remains constant when a gas is compressed without affecting its temperature. Although the container is smaller, the particles still move at the same speed. Particles move quicker from one end of the container to the other as a result.
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Whenever one object exerts a force on another object, the second object exerts a force of the same magnitude on the first object, but in the opposite direction
Answer:
A
Explanation:
Newton third law of motion state that action and reaction are equal and opposite
Answer:
Always true
Explanation:
I got it right on the test.
Help help help help help help help
Answer:
4
Explanation:
What type of motion does this graph represent?
What is the intensity level of a sound with intensity of 5.0 ´ 10-10 W/m2? (I0 = 10-12 W/m2)
The intensity level of a sound with an intensity of 5.0 × 10-10 W/m2 is 27 dB.
The intensity level of a sound can be calculated using the following formula:
Intensity level (dB) = 10 log (I/I0), where I is the intensity of the sound and I0 is the reference intensity, which is typically 10-12 W/m2.
Using this formula, we can calculate the intensity level of a sound with an intensity of 5.0 × 10-10 W/m2 as follows:
Intensity level (dB) = 10 log (5.0 × 10-10 / 10-12)
Intensity level (dB) = 10 log (5.0 × 102)
Intensity level (dB) = 10 × 2.7
Intensity level (dB) = 27 dB
Therefore, the intensity level of a sound with an intensity of 5.0 × 10-10 W/m2 is 27 dB. It's important to note that the intensity level is a measure of how loud a sound is perceived by the human ear, and is typically measured on a logarithmic scale. So, a sound with an intensity level of 27 dB is considered relatively quiet, while a sound with an intensity level of 120 dB (such as a jet engine or a rock concert) is considered very loud and can cause hearing damage if exposure is prolonged.
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How to integrate 1/ 1 + x2
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.
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300 watts of power is produced over 15 seconds. How much work was done transferring the power?
Answer:
4500
Explanation:
Formula: power x time
300 x 15 = 4500