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1. A 500 N force applied to a box at a 50 degree angle above the horizontal surface. Find the x and y

Alex777 [14]

Answer:

The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.

Explanation:

At first we present a figure describing the situation explained on statement, the x and y components of the force are determined by the following trigonometric expressions:

$F_{x} = F\cdot \cos \alpha$ (1)

$F_{y} = F\cdot \sin \alpha$ (2)

Where:

$F$ - Magnitude of the force, measured in newtons.

$\alpha$ - Direction of the force above the horizontal surface, measured in sexagesimal degrees.

If we know that $F = 500\,N$ and $\theta = 50^{\circ}$ , then the components of the force is:

$F_{x} = (500\,N)\cdot \cos 50^{\circ}$

$F_{x} = 321.394\,N$

$F_{y} = (500\,N)\cdot \sin 50^{\circ}$

$F_{y} = 383.023\,N$

The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.

7 0

3 years ago

An object of height 8.50 cm is placed 20.0 cm to the left of a converging lens with a focal length of 12.0 cm. Determine the ima

ddd [48]

The image distance is 33.3 cm while the image height is 14.2 cm.

<h3>What is a converging lens?</h3>

A converging lens will always have a positive focal length hence, we have to find the object distance as follows;

1/f = 1/v + 1/u

1/12 = 1/v + 1/20

1/v = 1/12 - 1/20

1/v = 0.08 - 0.05

v =33.3 cm

Now;

Magnification = 33.3 cm/20.0 cm =1.67

M = Image height/Object height

1.67 = Image height/8.50 cm

Image height = 1.67 * 8.50 cm

Image height = 14.2 cm

Learn more about focal length:brainly.com/question/16188698

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5 0

2 years ago

The Earth's escape speed (the speed you need to get away forever) is about 40,000 kilometers per hour. Escape speed depends on t

Anvisha [2.4K]

The Moon s escape speed will be smaller than Earth's.

What is escape speed:

The minimum speed that is required for an object to free itself from the gravitational force exerted by a massive object.

The formula of escape speed is

$v = \sqrt{\frac{2GM}{R} }$

where

v is escape velocity

G is universal gravitational constant

M is mass of the body to be escaped from

r is distance from the center of the mass

we can say that,

Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping.

we know that,

The Moon's surface gravity is about 1/6th as powerful or about 1.6 meters per second per second.

since, v ∝ g

The Moon s escape speed will be smaller than Earth's.

Learn more about escape speed here:

<u>brainly.com/question/15318861</u>

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5 0

2 years ago

Examine the nuclear reaction: Superscript 1 subscript 1 H plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1

AysviL [449]

Answer:

C. A change has occurred in the nucleus.

Explanation:

6 0

3 years ago

Read 2 more answers

A typical wall outlet voltage in the United States is 120 volts. Personal MP3 players require much smaller voltages, typically 4

alexgriva [62]

Answer:

Number of turns on the secondary coil of the adapter transformer is 10.

Explanation:

For a transformer,

$\frac{V_{s} }{V_{p} } = \frac{N_{s} }{N_{p} }$

where $V_{s}$ is the voltage induced in the secondary coil

$V_{p}$ is the voltage in the primary coil

$N_{s}$ is the number of turns of secondary coil

$N_{p}$ is the number of turns of primary coil

From the given question,

$\frac{487*10^{-3} }{120}$ = $\frac{N_{s} }{2464}$

⇒ $N_{s}$ = $\frac{2462*487*10^{-3} }{120}$

= 9.999733

∴ $N_{s}$ = 10 turns

5 0

3 years ago

Read 2 more answers