Scientific notation for 0.000468

A 120 N force, directed at an angle θ above a horizontal floor, is applied to a 28.0 kg chair sitting on the floor. If θ = 0°, w

ivanzaharov [21]

Answer:

See explanation

Explanation:

Given:-

- The applied force Fa = 120 N

- The angle made with Fa and horizontal = θ

- The mass of chair m = 28.0 kg

Find:-

a) θ = 0 , the horizontal component Fh of the applied force and (b) the magnitude FN of the normal force of the floor on the chair?

If θ = 34.0°, what are (c)Fh and (d)FN?

If θ = 65.0°, what are (e)Fh and (f)FN?

Now assume that the coefficient of static friction between chair and floor is 0.410. What is the maximum force of static friction on the chair if θ is (g) 0°, (h)34.0°, and (i)65.0°?

Solution:-

- We will consider the applied force (Fa) and develop a general expression for Fh as function of θ. Using Trigonometry we have:

Fh = Fa*cos ( θ )

- The normal contact force (N) can be expressed similarly by applying equilibrium conditions on the chair in vertical direction.

N - mg - Fa*sin(θ) = 0

N = m*g + Fa*sin(θ)

For, θ = 0:

Fh = Fa*cos(0) = Fa

Fh = 120 N

N = (28*9.81) + 120*0

N = 274.68 N

For, θ = 34.0:

Fh = Fa*cos(34) = (120)*(0.82903)

Fh = 99.5 N

N = (28*9.81) + 120*sin(34)

N = 341.8 N

For, θ = 65.0:

Fh = Fa*cos(65) = (120)*(0.42261)

Fh = 50.7 N

N = (28*9.81) + 120*sin(65)

N = 383.4 N

- The maximum frictional force (Ff) is given by the following expression:

Ff = N*us

Where, us = coefficient of static friction = 0.41

For, θ = 0:

Ff = (274.68)*(0.41)

Ff = 112.62 N

For, θ = 34:

Ff = (341.8)*(0.41)

Ff = 140.13 N

For, θ = 65:

Ff = (383.4)*(0.41)

Ff = 157.2 N

5 0

3 years ago

When a high-mass main sequence star runs out of both hydrogen and helium in its core, the core begins to fuse

faust18 [17]

Answer:

The core beings to fuse carbon into heavier elements.

Explanation:

As the star runs out of hydrogen and helium, the energy production in the core stops, and there isn't enough outward pressure to hold the star up. The start contracts, and this heats up the core (pressure increases, temperature increases) creating temperatures high enough to fuse carbon into heavier elements like oxygen, silicon, neon, sulfur, magnesium, and iron.

But a star can sustain itself on Carbon fusion only for so long. In about 600 years (how long exactly depends on the star ) the star runs out of carbon and what happens next depends on the mass of the star; the star either collapses into a neutron star, or begins fusion heavier elements like neon.

7 0

3 years ago

Read 2 more answers

What instrument is used to measure the speed of light?<br> How does it work?

AfilCa [17]

Answer:

The Fizeau–Foucault apparatus is either of two types of instrument historically used to measure the speed of light. The conflation of the two instrument types arises in part because Hippolyte Fizeau and Léon Foucault had originally been friends and collaborators.

Explanation:

3 0

3 years ago

Need help on this quick

Vlad1618 [11]

Answer:

the first one

Explanation:

because the same side magnates repel each other

5 0

4 years ago

Read 2 more answers

Which of the following statements is/are true?Check all that apply.a. A dissipative interaction permits a two-way conversion bet

oee [108]

Answer:

a. A dissipative interaction permits a two-way conversion between kinetic and potential energies.

FALSE

in dissipative type of forces energy is not conserved so it is not possible

b. A nondissipative interaction permits a two-way conversion between kinetic and potential energies.

TRUE

in non dissipative type of force there is no energy loss so we can use energy conservation

c. A potential energy function can be specified for a dissipative interaction.

FALSE

Here potential energy is not defined for dissipative type of forces

d. A potential energy function can be specified for a nondissipative interaction.

TRUE

negative gradient of potential energy is equal to non dissipative type of forces

$F = -\frac{dU}{dr}$

3 0

4 years ago