PHYSICS HIGH SCHOOL

IN a physics lab, a student discovers that the magnitude of the magnetic field at a certain distance from a long wire is 4.0μT. If the wire carries a current of 5.0 A, what is the distance of the magnetic field from the wire?

Answers

Answer 1

Answer:

Answer:

0.25 m

Explanation:

The intensity of the magnetic field around a current-carrying wire is given by:

$B=(\mu_0 I)/(2 \pi r)$

where

$\mu_0 = 4\pi \cdot 10^(-7)Tm/A$ is the permeabilty of free space

I is the current

r is the distance from the wire

In this problem, we know:

$B=4 \mu T=4 \cdot 10^(-6) T$ is the magnetic field

$I=5.0 A$ is the current in the wire

Re-arranging the equation, we can find the distance of the field from the wire:

$r=(\mu_0 I)/(2 \pi B)=((4\pi \cdot 10^(-7))(5.0 A))/(2\pi(4\cdot 10^(-6) T))=0.25 m$

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A 60-kg person is traveling in a car moving at 16 m/s, when the car hits a barrier. The person is not wearing a seat belt, but is stopped by an air bag in a time interval of 0.20 s. Determine the average force that the air bag exerts on the person?
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Salmon often jump waterfalls to reach theirbreeding grounds.
Starting 3.16 m from a waterfall 0.379 m
in height, at what minimum speed must a
salmon jumping at an angle of 37.6
◦
leave the
water to continue upstream? The acceleration
due to gravity is 9.81 m/s
2
.
Answer in units of m/s.

Answers

The problem corresponds to the motion of a projectile (the salmon), with initial speed $v_0$ , initial direction $\theta=37.6^(\circ)$ and vertical acceleration $g=9.81 m/s^2$ downward. The two equations which gives the horizontal and vertical position of the salmon at time t are

$S_x (t) = v_0 cos \theta t$ (1)

$S_y (t) = v_0 sin \theta t - (1)/(2)gt^2$ (2)

We can solve the problem by requiring Sx=3.16 m and Sy=0.379 m, the data of the problem.

Solving eq.(1) for t:

$t=(S_x)/(v_0 cos \theta)$

And substituting this expression of t into eq.(2), we get the following expression for $v_0$ :

$v_0 =\sqrt{(g S_x^2)/(2(tan \theta S_x -S_y)cos^2 \alpha)}$

And substituting the numbers into the equation, we find

$v_0 = 6.16 m/s$

A dolphin swims 1.85 km/h. How far has the dolphin traveled after .60 h?

Answers

1.85 km every hour x 0.60 hours

1.85 x 0.6 = 1.11

The dolphin traveled 1.11 km.

2. A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax2 about the y-axis. If the dish is to have a 10-ft diameter and a maximum depth of 2 ft, find the value of a and the surface area of the dish.

Answers

Answer: 2π ∫[a, b] x * sqrt(1 + (dy/dx)^2) dx

Explanation:

To find the value of "a" for the parabolic satellite dish and its surface area, we'll use the information provided:

1. The dish is formed by rotating the curve y = ax^2 about the y-axis.

2. The dish has a 10-ft diameter, which means its radius (from the y-axis to the edge) is half of that, or 5 ft.

3. The dish has a maximum depth (height) of 2 ft.

First, let's find the value of "a" using the given information about the diameter and maximum depth.

The equation for a parabolic curve centered on the y-axis is of the form: y = ax^2.

Since the maximum depth is 2 ft, we can use this information to find the value of "a":

y = ax^2

2 ft = a(0)^2

2 ft = a * 0

a = 2 ft / 0

However, dividing by zero is undefined, so there is an issue with the information provided. It's not possible to determine a unique value of "a" based on the given data because the dish's shape doesn't fit the standard parabolic curve equation.

Now, let's calculate the surface area of the dish based on the information we have. The surface area can be found by rotating the curve y = ax^2 about the y-axis, forming a three-dimensional shape, and then finding the surface area of that shape.

To calculate the surface area, we can use the formula for the surface area of a solid of revolution:

Surface Area = 2π ∫[a, b] x * sqrt(1 + (dy/dx)^2) dx

In this case, the integration bounds [a, b] will depend on the specific equation for the curve y = ax^2 that represents the dish's shape. However, without a specific equation, we cannot perform this integration and calculate the surface area.

To find the surface area accurately, you would need the exact equation for the curve that represents the dish's shape, and then you could perform the integration to find the surface area.

If you have additional information or the exact equation for the curve, please provide it, and I can assist you further in calculating the surface area.

Final answer:

The value of 'a' in the parabolic equation representing the satellite dish being designed is 0.08, and the surface area of the dish, obtained through calculus, is 62.83 ft^2.

Explanation:

The equation for a parabolic curve is y = ax^2. Given that the maximum depth is 2ft, and the diameter is 10ft, we can find 'a' using the formula a = y/x^2, substituting 'y' with the depth (2ft) and 'x' with half the diameter (5ft). This gives us a = 0.08.

To find the surface area of a rotated parabola (the satellite dish), we use the formula Surface Area = 2π ∫y√(1+(dy/dx)^2) dx from 'x = -5' to 'x = 5'. Substituting our parabola equation into the formula would require calculus to solve. The overall process of solving yields a surface area of 62.83 ft^2.

Learn more about Calculus and Geometry here:

brainly.com/question/13788254

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An object traveling in a straight line accelerates. What will definitely happen due to the acceleration?The distance traveled in a certain time will increase.
The displacement covered in a certain time will decrease.
The speed of the object will stay constant.
The velocity of the object will change.

Answers

"Acceleration" means any change in the speed or direction of motion ... speeding up, slowing down, or turning. So . . .

-- The distance traveled in a certain time may increase or decrease.

-- The displacement covered in a certain time may increase or decrease.

-- The speed of the object may increase or decrease.

-- The velocity of the object (speed/direction) will change.

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Answers

Two tangible ways in which state governments improve society would be through the construction of public facilities like libraries and roads, and an intangible example would be through welfare programs. other wise i suck but this is my best answer hope it helps enjoy

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