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3 years ago

You need to move a 132 kg sofa to a different location in the room. It takes a force

1 answer:

nataly862011 [7]3 years ago

6 0

Let w denote the weight of the sofa, n the magnitude of the normal force, and f the magnitude of the friction force. The sofa is in equilibrium, so by Newton's second law,

n - w = 0

125 N - f = 0

The sofa has a weight of

w = (132 kg) g = 1293.6 N

where g = 9.80 m/s² is the magnitude of the acceleration due to gravity. Since n = w, the normal force has the same magnitude.

The friction force is proportional to the normal force by a factor of the coefficient of static friction µ, such that

f = µ n

Our second equation tells us f = 125 N, so solve for µ :

125 N = µ (1293.6 N)

µ ≈ 0.0966

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Gbenga needs to get glasses to correct his farsightedness. His eyes currently cannot focus on objects that are within 2 ft (or 6

Scilla [17]

Answer:

Focal Length = 38.61cm, Power = 2.59 Diopter, Converging lens.

Explanation:

When an object is placed 25cm from Gbenga's eye, the glasses lens must produce an image 61cm away (Gbenga's eye near point).

An image 61cm from the eye will be (61cm - 1.6cm) from the glasses.

i.e. $d_{i}=61cm-1.6cm=59.4cm$

and $d_{o} = 25cm - 1.6cm = 23.4cm$

note $d_{i}$ will be negative because the image is formed on the same side as the object.

finally, $d_{i}=-59.4cm\\d_{o}=23.4cm$

the formula for finding the focal length $f$ is given as

$f=\frac{d_{i}d_{o} }{d_{o}+d_{i} }$

$f=\frac{-59.4*23.4}{23.4-59.4} \\$

$f=\frac{-1389.96}{-36}$

$f=38.61cm$

The focal length is positive which indicates converging lens

power $p=\frac{1}{f}$

but $f\\$ must be in metres

Therefore, $f=38.61cm=0.3861m$

$p=\frac{1}{0.3861}$

$p=2.59 Diopter$

3 0

4 years ago

Why would you expect sodium (Na) to react strongly with chlorine (Cl)? 1. They both need to lose one electron.2. They both need

vladimir1956 [14]

Give me some answer choices and i will be happy to help

7 0

3 years ago

A 77-kg man stands on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.

jekas [21]

Answer:

Explanation:

From the question, we can see that the elevator is at a constant speed, invariably, acceleration is zero. And thus, there is no external force acting in the man, asides from force of gravitation acting on the man between those 5s. Now, we solve the question using newton's second law of motion.

The second law of motion states that, "the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object."

Summation Fy = ma(y)

F(n) - F(g) = 0

F(n) - mg = 0

F(n) = mg

F(n) = 77*9.81

F(n) = 755.37N

6 0

3 years ago

Read 2 more answers

What strongly affects the movement of the air masses along the earths surface

trapecia [35]

I think the answer is wind

5 0

4 years ago

Mars has a mass of about 6.24 Ã 1023 kg, and its moon phobos has a mass of about 9.2 Ã 1015 kg. if the magnitude of the gravitat

Effectus [21]

Given: Mass of Mars Mm = 6.24 x 10²³ Kg;

Mass of Phobos Mp = 9.2 x 10¹⁵ Kg

Gravitational Force F = 4.47 X 10¹⁵ N

Gravitational constant G = 6.67 X 10⁻¹¹ N m²/Kg²

Radius r = ?

Formula: F = GMmMp/r² derive r

r = √GMmMp/F

r = √(6.67 x 10⁻¹¹ N m²/Kg²)(6.24 x 10²³ Kg)(9.2 x 10¹⁵ Kg)/4.47 x 10¹⁵ N

r = √(6.67 x 10⁻¹¹ N m²/Kg²)5.74 x 10³⁹ Kg²/4.47 x 10¹⁵ N

r = √8.57 x 10¹³ m

r = 9,257,429 m

or r = 9.26 x 10⁶ m

8 0

4 years ago