A car starts from rest and constantly accelerates at a rate of 10 [m/s2 ] during a 402 [m] race. At the finish line, the speed of the car is [tex]\mathbf{89}.\mathbf{6660}\ \mathbit{m}/\mathbit{s}[/tex].
The initial velocity of the car [tex]u = 0[/tex]
Constant acceleration [tex]a = 10~ m/s^2[/tex]
Distance of the Race [tex]d = 402~ m[/tex]
The car is accelerating with a constant acceleration [tex]a[/tex] , so the car's velocity will change with time as it approaches the finish point which is at a distance [tex]d[/tex] from the initial point.
Newton's equation is the backbone of Classical Mechanics. Let's say the velocity of the car at the finish line is [tex]v[/tex]. We know that displacement is the product of average velocity and time.
Or [tex]s=\frac{u+v}{2}\times t[/tex]
Using Newton’s first equation [tex]v\ =\ u\ +\ at[/tex]
Newton's equation of motion turns out to be,
[tex]v^2 = u^2+2ad[/tex]
[tex]v^2 = 2\times 10 \times 402[/tex]
so, [tex]v = \sqrt{8040} = 89.6667 ~m/s[/tex]
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The _________ refers to all of the living and nonliving things on earth that sustain life
The ecosystem refers to all of the living and nonliving things on earth that sustain life.
Ecosystem
An ecosystem, also known as an ecological system, is made up of all the organisms and the physical setting in which they live. The nutrition cycles and energy flows connect these biotic and abiotic elements. Photosynthesis is how energy enters the system and is absorbed by plant tissue. Animals play a significant part in the transfer of materials and energy through the system by eating plants and one another. They also have an impact on the biomass levels of the microbial and plant communities. In addition to facilitating nutrient cycling by transforming nutrients held in dead biomass back into a form that can be easily utilised by plants and microorganisms, decomposers also release carbon into the atmosphere through the breakdown of dead organic matter.
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why does mars jupiter and earth not have the same gravitational force on a 150kg object
According to the Newton's law of universal gravitation 2.4, the force between any more than two or three types of heavier mass which really involves with mass falling to the ground is proved by the distance, the mass's rotational speed and the rotating direction. It happens the changes in space and time, and also in the diameter of it's own mass.
Vector u has a magnitude of 5 units and a direction angle of 75°, and vector v has a magnitude of 6 units and a direction angle of 210°. what is the component form of the vector u v?
-3.90, 1.83 are the component form of the vector u v.
What is magnitude of vector?
The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector.The component form of a vector is the ordered pair that describes the changes in the x- and y-values. In the graph above x1=0, y1=0 and x2=2, y2=5. The ordered pair that describes the changes is (x²- x, y²- y), in our example (2-0, 5-0) or (2,5).We have vector u = 5 ( cos 75 i + sin 75 j )
= 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j )
= -5.19 i - 3 j
Now we add both component
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j)
= -3.90 i + 1.83 j
= < -3.90, 1.83>
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The correct option is (D). < -3.90, 1.83>
Vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
What are vectors?
Quantities with both a magnitude and a direction are called vectors. A vector can be used to represent a vehicle's motion in the real world. 65 mph is the direction of travel for the car. In this illustration, the vector's magnitude is represented by the car's 65 mph speed and its direction by the northwest. In the study of physics, the use of vectors to depict how forces operate on objects is crucial.Given, vector u = 5 ( cos 75 i + sin 75 j ) = 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j ) = -5.19 i - 3 j
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j) = -3.90 i + 1.83 j
= < -3.90, 1.83>
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You connect a 9 v battery to a capacitor consisting of two circular plates of radius 0. 066 m separated by an air gap of 2. 0 mm. What is the charge on the positive plate?
On connecting a 9V battery to a Capacitor consisting of two circular plates of radius 0.066 m separated by an air gap of 2. 0 mm. The charge on the positive plate is 544.7 ×10⁻¹² C.
Capacitance of the capacitor is determined by the area of the plate of Capacitor and distance between the plates of capacitor.
Let the area of the Capacitor be A , radius of circular plates be r and distance between the plates of capacitor be d.
Given, Voltage, V = 9V
Radius, r = 0.066m
Distance, d = 2mm = 0.002m
Area of the Capacitor, A = πr²
A = π(0.066)²
A = 0.013m²
Capacitance, C = ε₀A / d
C = 8.85×10⁻¹²×0.013/0.002
C = 60.5 ×10⁻¹² F
C = 60.5 pF
We know that Q = CV where Q is the charge on capacitor.
Q = 60.5 ×10⁻¹² × 9
Q= 544.7 ×10⁻¹² C
Since, both plates of a capacitor acquire equal and opposite charge.
Hence the charge on the positive plate of the capacitor is 544.7 ×10⁻¹² C.
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While a car is running, the alternator provides current to the battery and recharges it. which reaction occurs at the anode of a lead-storage battery during this process?
While a car is running, the alternator provides current to the battery and recharges it. Reduction reaction occurs at the anode of a lead-storage battery during this process .
The Lead-acid battery or lead-storage battery is one of the oldest types of rechargeable batteries.
Lead-storage batteries can be classified as secondary batteries. The chemical reactions that occur in secondary cells are reversible. The chemical process of extracting current from a secondary battery (forward reaction) is called discharging. The method of regenerating active material is called charging.
While recharging, the automobile battery functions like an electrolytic cell. The energy required to drive the recharging comes from an external source, such as an engine of a car. While charging reduction takes place at anode and while discharging oxidation takes place at anode.
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Hazel is analyzing the written information and the image she found. Figure 1 shows that low-frequency radiation is generally considered to be non-ionizing, while high-frequency radiation is generally considered to be ionizing. Use the drop-down menus to complete the statements that support this.
Low-frequency electromagnetic waves have (low-high)
energy. High-frequency electromagnetic waves have (low-high)
energy. High-frequency waves are (more-less)
likely to ionize an atom because of their greater (energy-speed)
.
High-frequency waves are (more-less) likely to ionize an atom because of their greater (energy speed) for low- radiofrequency is generally considered to be non-ionizing, while high- radiofrequency is generally considered to be ionizing.
Microwaves and radio waves are examples of radiofrequency (RF) radiation, which is at the low-energy end of the electromagnetic spectrum. It belongs to the non-ionizing radiation class. Non-ionizing radiation lacks the energy to expel an atom's electrons.
A minimally invasive procedure known as radiofrequency ablation, or RFA, reduces the size of tumors, nodules, and other growths in the body. RFA is used to treat a variety of ailments, such as benign and cancerous tumors, chronic venous insufficiency in the legs, and persistent back and neck pain.
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