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3 years ago

If there is a negative sign in front of the Hooke's Law equation, what does the force, F, represent?

Physics

1 answer:

SashulF [63]3 years ago

6 0

Answer:

Hooke's law, given by $F=-kx$ is denoted with a negative sign to regard that the direction of restoring force that occurs opposite in direction of the force that caused the displacement $x$ . F represents the force required to create a spring displacement of $x$ .

Explanation:

As with many things in physics, the negative sign represents direction. In this case, after a spring is displaced a distance of $x$ from equilibrium, the restoring force created by the spring will be in opposite direction of the force applied to move the spring there, represented by F.

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A ball is attached to a string of length 3 m to make a pendulum. The pendulum is placed at a location that is away from the Eart

Musya8 [376]

1) $0.61 m/s^2$

2) 13.9 s

Explanation:

The acceleration due to gravity is the acceleration that an object in free fall (acted upon the force of gravity only) would have.

It can be calculated using the equation:

$g=\frac{GM}{r^2}$ (1)

where

G is the gravitational constant

$M=5.98\cdot 10^{24} kg$ is the Earth's mass

r is the distance of the object from the Earth's center

The pendulum in the problem is at an altitude of 3 times the radius of the Earth (R), so its distance from the Earth's center is

$r=4R$

where

$R=6.37\cdot 10^6 m$ is the Earth's radius

Therefore, we can calculate the acceleration due to gravity at that height using eq.(1):

$g=\frac{GM}{(4R)^2}=\frac{(6.67\cdot 10^{-11})(5.98\cdot 10^{24})0.}{(4\cdot 6.37\cdot 10^6)^2}=0.61 m/s^2$

The period of a simple pendulum is the time the pendulum takes to complete one oscillation. It is given by the formula

$T=2\pi \sqrt{\frac{L}{g}}$

where

L is the length of the pendulum

g is the acceleration due to gravity at the location of the pendulum

Note that the period of a pendulum does not depend on its mass.

For the pendulum in this problem, we have:

L = 3 m is its length

$g=0.61 m/s^2$ is the acceleration due to gravity (calculated in part 1)

Therefore, the period of the pendulum is:

$T=2\pi \sqrt{\frac{3}{0.61}}=13.9 s$

4 0

3 years ago

A box on a table has these forces acting on it

umka21 [38]

Answer:

greater than 10 n

Explanation:

8 0

3 years ago

At 0.0 degrees Celsius, a wire cable is 410.0000 meters in length. When the temperature increased to 30.0 degrees Celsius, the w

zzz [600]

Answer: The coefficient of expansion for the wire $0.000028 (^oC)^{-1}$ .

Explanation:

Original length of the wire = L= 410.0000 m

Initial temperature = $T_1=0.0^oC$

Final Temperature = $T_2=30.0^oC$

Increase in Length of the wire = $\Delta L=0.3444 m$

$\frac{\Delta L}{L}=\alpha _{L}\times \Delta T=\alpha _{L}\times (T_2-T_1)$

$\alpha _L=\frac{\Delta L}{L\times (T_2-T_1)}=\frac{0.3444 m}{410.0000 m\times (30.0^oC-0.0^oC)}$

$\alpha _L=0.000028 (^oC)^{-1}$

The coefficient of expansion for the wire $0.000028 (^oC)^{-1}$ .

3 0

3 years ago

What is the speed of the object between 60 to 70 seconds?

lyudmila [28]

We have that the speed of the object between 60 to 70 seconds

$V=\frac{d}{65}$

From the question we are told

The speed of the object between 60 to 70 seconds

Generally the equation for Average speed is mathematically given as

$V=\frac{d}{t}$

Where

$t=\frac{60+70}{2}\\\\t=65seconds$

Therefore

$V=\frac{d}{65}$

In conclusion

The speed of the object between 60 to 70 seconds

$V=\frac{d}{65}$

For more information on this visit

brainly.com/question/23379286?referrer=searchResults

5 0

3 years ago

A scuba diver measures an increase in pressure of around 10^5 Pa upon descending by 10 m, what is the change in force per square

IceJOKER [234]

Answer:

Explanation:

Given that, .

Pressure around scuba is

P = 10^5 Pa

1 Pa = 1 N/m²

Then

P = 10^5 N/m²

Descending height

h = 10m

Change in force per unit square centimetre

We know that,

Pressure = Force / Area

Then,

Force / Area is the required question we are finding

Then,

Force / Area = 10^5 N / m²

So, let convert the m² to cm²

100cm = 1m

(100cm)² = (1m)²

10⁴cm² = 1m²

Then,

Force / Area = 10^5 N/m² × 1m² / 10⁴cm²

Force / Area = 10 N/cm²

So, the force per unit square centimeters is 10.

7 0

3 years ago