Two wires are used to suspend a sign that weighs 500 N. The two wires make an angle of 100° between each other. If each wire is exerting an equal amount of force how much force does each wire exert?

Answers

Answer 1
Answer:

The force each wire exert will be "390.62 N".

The given values are:

Weight,

  • mg = 500 N

Angle,

  • θ = 100°

As we know,

The sum of vertical forces = 0

then,

\Sigma Fy = 0

Now,

F Cos (50) +F Cos (50) = mg

By substituting the value, we get

→                   2F Cos (50) = 500

→                                 F = (500)/(2 Cos (50))

→                                     = (500)/(2(0.64))

→                                     = 390.62 \ N  

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The Royal Gorge bridge over the Arkansas River is 393 m above the river. A bungee jumper of mass 150 kg has an elastic cord of length 78 m attached to her feet. Assume the cord acts like a spring of force constant k. The jumper leaps, barely touches the water, and after numerous ups and downs comes to rest at a height h above the water. The acceleration of gravity is 9.81 m/s². Find h. Answer in units of m.

Answers

Answer:

188.7 m

Explanation:

height of bridge above water (h) = 393 m

mass of bungee jumper (m) = 150 kg

length of cord (L) = 78 m

acceleration due to gravity (g) = 9.8 m/s  

initial energy = mgh = 150 x 9.8 x 393 = 577,710 J

since the jumper barely touches the water, the maximum extension of the cord (x) = 393 - 78 = 315 m

from the conservation of energy mgh = ((1)/(2))kx^(2)

therefore

577,710 = ((1)/(2))kx315^(2)

k = 11.64 N/m

from Hooke's law, force (f) = kx' ⇒ mg = kx'

where x' is the extension of the cord when it comes to rest

150 x 9.8 = 11.64 × x'

x' = 126.3 m

the final height at which the cord comes to a rest = height of the bridge - length of the cord - extension of the cord when it comes to rest

the final height at which the cord comes to a rest = 393  - 78 - 126.3 = 188.7 m

A fastball pitcher can throw a baseball at a speed of 40 m/s (90 mi/h). (a) Assuming the pitcher can release the ball 16.7 m from home plate so the ball is moving horizontally, how long does it take the ball to reach home plate? (b) How far does the ball drop between the pitcher’s hand and home plate?

Answers

Answer:

a) 0.4175 seconds

b) 0.854 m

Explanation:

t = Time taken

u = Initial velocity = 40 m/s in x direction

v = Final velocity

s = Displacement = 16.7 m

a = Acceleration due to gravity = 9.81 m/s²

a) Time = Distance / Speed

\text{Time}=(16.7)/(40)=0.4175\ s

Time taken by the ball to reach home plate is 0.4175 seconds

b)  Here velocity will by taken in y direction will be 0

s=ut+(1)/(2)at^2\n\Rightarrow s=0* 0.4175+(1)/(2)* 9.81* 0.4175^2\n\Rightarrow s=0.854\ m

The ball drops by 0.854 m between the pitcher’s hand and home plate.

Imagine that a car is traveling from your left to your right at a constant velocity. Which two actions could the driver take that may be represented as (a) a velocity vector and an acceleration vector both pointing to the right and then (b) changing so the velocity vector points to the right and the acceleration vector points to the left?

Answers

Answer:

(a). The speed of car will increases.

(b). The speed of car will decreases.

Explanation:

Given that,

A car is traveling from your left to your right at a constant velocity.

We need to find two actions could the driver take

Using given data

(a). If the velocity and acceleration of car to the right

It means the velocity and acceleration of car is in same direction then the speed of car will increases.

(b). If the velocity to the right and the acceleration to the left

It means the velocity and acceleration of car is in opposite direction then the speed of car will decreases.

Hence, (a). The speed of car will increases.

(b). The speed of car will decreases.

How do i find displacement on a position time graph ?

Answers

Displacement is just the distance between the start-point and the end-point,
regardless of the route that was traveled on the way.

If you're asked to find a displacement, then the first thing the asker has to do
is define the part of the graph that he's interested in.The easiest way to do that
is to specify the start-time and end-time.  Once you have those, the displacement
is easy.  Just look at the graph.  Find the position at the end, and the position
at the beginning.  Subtract the beginning position from the ending position, and
that's the displacement. 

Ignore everything in between.  No matter how many curves, curls, breaks, or
stops the graph may have on the way, you don't care.  The displacement is just
the difference between the end position and the start position.

Groups of students are measuring the masses of several rocks. They have a scale that can show readings in pounds or kilograms. The teacher requires that they all make their measurements in kilograms.Why would the teacher make a decision like this?

Choose 1 answer:

(Choice A) A kilogram is larger than a pound, so the scale could measure more massive rocks.

(Choice B) Accurate measurements cannot be made in pounds.

(Choice C) Pounds cannot be converted to kilograms.

(Choice D) It is easier to compare measurements when using the same unit system.

Answers

Answer:

(D). It is easier to compare measurements when using the same unit system.

Explanation:

Kilograms are the standard unit of mass in the metric system, while pounds are the standard unit of mass in the imperial system.

The two systems are not directly convertible, so it would be difficult to compare measurements made in different units.

Therefore, the teacher requires that the students make their measurements in kilograms to simplify the comparison of their results.

So, answer (D). It is easier to compare measurements when using the same unit system.

\hrulefill

Let's see the other option:

  • Choice (A) is incorrect because a kilogram is not larger than a pound. A kilogram is equal to about 2.2 pounds.
  • Choice (B) is incorrect because accurate measurements can be made in pounds.
  • Choice (C) is incorrect because pounds can be converted to kilograms. The conversion factor is 1 kilogram = 2.2 pounds.

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Answer:

Choice D

Explanation:

The correct answer is (Choice D) It is easier to compare measurements when using the same unit system.

When conducting scientific experiments or measurements, it is crucial to maintain uniformity in the units of measurement to facilitate accurate comparisons and analysis. By requiring all students to measure the masses of rocks in kilograms, the teacher ensures consistency and eliminates any potential confusion that may arise from using different unit systems.

Using the same unit system allows for straightforward comparisons and calculations without the need for converting between units. It simplifies data analysis and interpretation, which is crucial for scientific accuracy and understanding. By standardizing the unit of measurement to kilograms, the students can directly compare the masses of rocks and draw meaningful conclusions from their data.

When Javier touches a hot mug of tea, energy is transferred from the surface of the mug to his hand. What kind of energy is this? nuclear

radiant

thermal

chemical

Answers

The correct answer to the question is : C) Thermal energy.

EXPLANATION:

Before coming into any conclusion, first we have to understand thermal energy and conduction.

The thermal energy of a body is the sum total of kinetic energy and potential energy of all of its molecules or atoms.

Whenever a body at high temperature is connected to a body at low temperature, the thermal energy will flow from body at high temperature to a body at low temperature. The part of thermal energy which is transferred due to temperature difference is called heat flow. This process is called conduction where there will be no actual transport of atoms or molecules from one body to another body.

As per the question, Javior touches the hut mug of tea. The mug surface is at high temperature as compared to Javior hand. Hence, heat flow be from mug surface to hand of Javior.

Hence, the correct answer to the question is thermal energy.

Its C Thermal Energy