The spring in a scale stretches 1 centimetres when a 5 newton object hangs from it. The required weight of an object is 10 N if it stretches the spring 2 centimetres.
Hooke's law tells us that, F = -kx
where, k is the spring constant
x is the distance stretched by a spring
F is the force
Given that,
Length x₁ = 1 cm
Force F₁ = 5 N
Length x₂ = 2 cm
F₂ = ?
From the above equation, we can write,
F₁/x₁ = F₂/x₂
Making F₂ as subject, we have,
F₂ = F₁/x₁ × x₂ = 5/1 × 2 = 10 N
Thus, the required weight of an object is 10 N if it stretches the spring 2 centimetres.
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Breaking a Glass Soda Botle A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water. (Figure 1) The top of the bottle has a diameter of Dtop-2.00 cm and the bottom of the bottle has a diameter of Dbot 6.50 cm. The glass breaks when it is exposed to Pmax = 70.0 MPa of pressure A student hits the cork sharply with her fist and the bottom of the bottle breaks. The student's fist has a mass of m = 0.480 kg and moves downward at a speed of vi = 5.00 m/s. It collides elastically with the cork and rebounds with the same speed. The collision lasts for t 1.20×10-4 s . In this problem, the positive direction is upward Part A What is the force that her fist exerts on the top of the bottle? Express your answer in newtons to three significant figures Hints 4.00x104 N Submit My Answers Give Up Correct Part B What is the magnitude of the force exerted on the bottom of the bottle?
The force exerted on the top of the bottle is given by the impulse-momentum theorem, which states that the impulse (change in momentum) of an object is equal to the force applied to the object multiplied by the time over which the force is applied.
F = (m * vi) / t = (0.480 kg * 5.00 m/s) / 1.20×10-4 s = 4.00x104 N
The force exerted on the bottom of the bottle is equal to the pressure (P) multiplied by the area (A) of the bottom of the bottle.
A = (Pi/4) * (Dbot^2) = (Pi/4) * (6.50 cm)^2 = 90.79 cm^2
F = P * A = 70.0 MPa * 90.79 cm^2 = 6.36x10^5 N
How to calculate force in physics?In physics, force is calculated using the formula: force = mass x acceleration (F = ma). The unit of force is typically the Newton (N). To calculate force, you need to know the mass of the object and the acceleration it is experiencing. Once you have that information, you can substitute it into the formula and solve for force.
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When charging by induction using grounding, if a negative rod is used, the object will acquire a ______ charge
When a positively charged rod becomes grounded it becomes neutral. The electrons come from the ground to your hand, then from your hand to the rod making the rod become neutral.
What is happening when a negatively charged rod becomes grounded?Both of the charged objects receive the same kind of charge when charging through conduction. Both things acquire a negative charge when a negative object is used to charge a neutral object.
The neutral sphere needs electrons from the negatively charged rod in order to become negative. 3. To demonstrate how charging by contact works, we'll first look at the scenario of charging a neutral needle electroscope with a negatively charged metal spherical.
Understanding the process necessitates an understanding of how like charges resist one another and have a strong desire to spread out as widely as possible in order to lessen their repulsions. The extra electrons in a negatively charged metal sphere repel one another and move as far apart from one another as possible.
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When charging by induction using grounding, if a negative rod is used, the object will acquire a positive charge.
What is charging by induction?A charging technique called induction charging involves charging a thing without actually contacting it to another charged object. The charged particle is held close to an uncharged substance which is conductive also, that is grounded on a neutrally charged material during the charging by induction process.This method of charging involves using a charged object to help a neutral object become charged without actually touching the objects. The neutral or uncharged conductor, which is grounded on a neutrally charged substance, is brought closer to the charged particle. If a charge is transferred between two objects, an oppositely polarized charge will emerge in the uncharged conducting material.
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What is the process called when the ice reaches the coast breaks off to form icebergs that are then carried out to sea?
The process of breaking of ice from the edge of the glaciers and then carried out to sea is known as calving.
Calving of glaciers is usually accompanied by a loud cracking sound or booming sound.
A huge glacier or polar ice that has broken off and floated into the sea is what creates an iceberg. The iceberg is composed of fresh water, just like the glaciers or ice in the North Pole. Since freshwater is less thick than salty seawater, icebergs float in the water.
When a rift develops in a glacier's margin as a result of ice melting, wind or water erosion, or other factors that make the glacier unstable, the calving process begins. A block eventually separates from the land, forming an iceberg that crashes into the water.
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humans taste food mostly because of:
Answer:
taste buds
Explanation:
very sensitive microscopic hairs called microvilli. The tiny hairs send messages to the brain about how something tastes, so you know if it's sweet, sour, bitter, or salty
A lighthouse that rises 49 feet above the surface of the water sits on a rocky cliff that extends 19 feet from the base. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 30.0 degrees about the horizontal.
If the sailor’s eye level is 14 feet above the water, how far is the ship from the rocks?
If the sailor’s eye level is 14 feet above the water, So the ship from the rocks is 41.62 feet far from the sailor.
The main concepts required to solve this problem are the trigonometric properties and the distance. Later, use the tangent function and substitute the values. Finally, rearrange the tangent equation to calculate the distance of the ship from the rocks.
tan30.0°=35ft./19ft.+x
1/√3=35ft./19ft.+x
x=(35ft.) ([Equation]3)-19ft.
=41.62ft.
A tangent equation is an equation that describes a line that touches a given curve at a single point. It is usually expressed in the form y=mx+b, where m is the slope of the line and b is the y-intercept. To find the equation of a tangent, one must calculate the slope of the line at the point of tangency. This can be done by taking the derivative of the equation of the curve at that point.
The derivative will be the slope of the tangent, so this can be substituted into the tangent equation. The y-intercept can be found by plugging the x-coordinate of the point of tangency into the equation of the curve and solving for y. This will give you the y-intercept of the tangent equation. Through this process, one can find the equation of a tangent to any given curve.
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A magnetic field of magnitude 0.37 T0.37 T is directed vertically upward.
(a) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is vertical.
(b) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is horizontal.
(c) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is at angle of 64∘64∘ with the horizontal.
The equation represents the force on a wire in a magnetic field (B) that is length L and carrying current I. where θ is the angle created by the magnetic field and the wire, and F=ILBsin.
What is magnetic flux, exactly?The number of total of magnetic field line that travel through a specific closed surface is known as the magnetic flux. It provides a method to calculate the overall magnetic field which passes across a particular surface area.
What is the magnetic flux unit?Magnetic flux is measured in SI units by the Weber (Wb). Tesla is equal to one Weber per sq meter of flux density (T). Numerous additional units are routinely used to express the Weber unit.
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