You stand on a merry-go-round which is spinning at f = 0.25 revolutions per
second. You are R = 200 cm from the center.

(a) Find the angular speed ω at which it is spinning.
[3 marks]
(b) Find the centripetal acceleration, ac with which it is spinning. [3 marks]
(c) What is the minimum coefficient of static friction µs between your shoes and
the floor that will keep you from slipping off?
[4 marks]

Answer:

The weight of the board is 200 N

Explanation:

Translational Equilibrium

An object is in translational equilibrium if the velocity of its translational motion is constant or if it's at rest.

The painter is standing on the single board scaffold, obviously at rest. This means the sum of all translational forces must be zero.

If the tensions of both ropes are T1 and T2, the weight of the painter is Wp, and the weight of the board is Wb, then:

T1 + T2 - Wp - Wb = 0

Both tensions go vertically up and both weights go vertically down.

Solving for Wb:

Wb = T1 + T2 - Wp

Wb = 550 N + 450 N - 800 N

Wb = 200 N

The weight of the board is 200 N

Answer:

Television,video game consoles

Answer:

A toaster

Explanation:

Since it heats up with heat waves of radiant energy

Answer:

Newton's Third Law

The boat goes forward, you go backward! A rocket can lift off from a launch pad only when it expels gas out of its engine. The rocket pushes on the gas, and the gas in turn pushes on the rocket.

Explanation:

Newton's Third Law

The boat goes forward, you go backward! A rocket can lift off from a launch pad only when it expels gas out of its engine

Explanation:

Answer:

It is smaller

Explanation:

Answer:

C. 1400

Explanation:

The force exerted = f1 = 250

Diameter d1 = 0.02

r1 = d1/2 = 0.01

Diameter d2 = 0.15

r2 = d2/2 = 0.075

The mass of jack to lift

F1/A1 = f2/A2

250/r1² = f2/r2²

250/0.01² = f2/0.075²

When we cross multiply, we will have:

250x0.005625 = 0.0001f2

1.40625 = 0.0001f2

F2 = 1.40625/0.0001

F2 = 14062.5N

Force f = mg

g = 9.81

m = 14062.5/9.81

Mass = 1433Kg

Therefore option c is correct. A mass of 1400kg can be lifted by the jack

Answer: the minimum spacing that must be there between two objects on the earth's surface if they are to be resolved as distinct objects by this telescope 6.45 cm

Explanation:

Given that;

diameter of the mirror d = 1.7 m

height h = 180 km = 180 × 10³ m

wavelength λ = 500 nm = 5 × 10⁻⁹ m

Now Angular separation from the peak of the central maximum is expressed as;

sin∅= 1.22 λ / d

sin∅ = (1.22 × 5 × 10⁻⁹) / 1.7

 sin∅ = 3.588 × 10⁻⁷

we know that;

 sin∅  = object separation / distance from telescope

object separation =   sin∅ × distance from telescope

object separation = 3.588 × 10⁻⁷  × 180 × 10³

object separation =6.45 × 10⁻² m

then we convert to centimeter

object separation = 6.45 cm

Therefore the minimum spacing that must be there between two objects on the earth's surface if they are to be resolved as distinct objects by this telescope 6.45 cm

Answer:

0.83W

Explanation:

Given parameters:

Voltage of the battery  = 10V

Resistance  =  120Ω

Unknown:

Power delivered by the resistor = ?

Solution:

The power delivered by the resistor can be derived using the expression below;

 Power = [tex]\frac{V^{2} }{R}[/tex]  

V is the voltage

R is the resistance

 Now, insert the parameters and solve

  Power  = [tex]\frac{10^{2} }{120}[/tex]   = 0.83W

Answer:

Normal force=7.48 N

Explanation:

N+F~1 sinθ-mg=0

=>N=1.5*9.8-12 sin37◦

=>N=14.7-7.22=7.48 N

Answer:

The cliff drivers must leave the top of the cliff at 2.21 m/s

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.

The range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

If the range is known and we are required to find the initial speed of launch, then we can solve the above equation for v as follows:

[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]

Cliff drivers jump into the sea from a height of h=36 m and must pass over an obstacle d=6 meters away from the cliff.

Let's calculate the speed needed:

[tex]\displaystyle v=6~m\cdot\sqrt{\frac {9.8~m/s^2}{2\cdot 36~m}}[/tex]

[tex]\displaystyle v=6~m\cdot\sqrt{\frac {9.8~m/s^2}{72~m}}[/tex]

[tex]v=2.21~m/s[/tex]

The cliff drivers must leave the top of the cliff at 2.21 m/s

Answer: chemical property

Explanation:

Answer:

Infrared photons carry lower radiation energy than the visible light.

Explanation:

       [tex]E = h*\nu (1)[/tex]

Infrared photons carry lower radiation energy than the visible light.

Visible light is the section of the spectrum of electromagnetic radiation which are visible to human eyes. The wavelength range of this light varies from 400 nm to 700 nm .

Each photon carries an energy that is directly proportional to its frequency, being this proportionality constant the Planck's constant h.

So, we can write the energy of a single photon as follows:

[tex]E=h\nu[/tex]      

Since there exists an inverse relationship between wavelength and frequency, and infrared radiation has longer wavelengths, this means that its frequency is lower than the one of the visible light.

So, an infrared photon carries less energy than one of the visible light.

To know more about Visible and infrared radiation, follow

https://brainly.com/question/11847490

Answer:

0.014

Explanation:

here

1.4 x 10^-2

=0.014

may this help

Answer:

A=1526N/m

B =40cm

Explanation:

Step one;

given

initial length=27cm= 0.27m

final length= 31.5cm= 0.315m

mass m= 7kg

Step two:

Required

A.

Force= mg

Force=weight= 7*9.81= 68.67N

extenstion e

e=31.5-27=4.5cm= 0.045m

K= spring constant

we know that F=ke

k=F/e

k=68.67/0.045

k=1526N/m

B.

New weight= 205N

F=ke

e=205/1526

e=0.13m

new length = 0.13+0.27= 0.4m

to cm=0.40*100=40cm

Answer:

Q = 1386  J

Explanation:

Mass, m = 60 g = 0.06 kg

Specific heat of copper, c=385 J/kg K

It is heated from 20°C to 80°C.

We need to find the heat absorbed. It can be given by the formula as follows :

[tex]Q=mc\Delta T\\\\Q=0.06\times 385 \times (80-20)\\\\Q=1386\ J[/tex]

So, 1386  J of heat is absorbed.

Answer:

metal seat belt and door handle

Explanation:

bc its all medal it _____ heat (forgot the word mybad)

Answer:

Increasing the tension on a string increases the speed of a wave, which increases the frequency (for a given length). Pressing the finger at different places changes the length of string, which changes the wavelength of standing wave, affecting the frequency.

Explanation:

Answer: you have loved ones who help you get through it and help answer the questions they know.

Answer:

you have loved ones who help you get through it and help answer the questions they know.

Explanation:

Answer:

A. alkali metals

Explanation:

im not sure about that

Answer:

c

Explanation:

haha signs d d Sd Didi d do f idi

Answer:

at least put the sentences in the Ques. smh

Explanation:

Answer:

B-The world’s largest pancake griddle is located in Penn Yan, NY, and measures 27 feet from end to end.

Explanation:

i got it right on my test

Explanation:

avg velocity = total displacement / total time taken = (11 - (-9.8)) / 5.0 = 4.16m/s to the right when taken right to be positive

Answer:

Explanation:

The kinetic energy (KE) of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 200 \times {30}^{2} \\ = 100 \times 900[/tex]

We have the final answer as

Hope this helps you

Answer:

When it hits a wooden target, the ball exerts a force on the fibers in the wood, splintering. First, heavier objects that are moving have more kinetic energy than lighter ones: a In equation form: kinetic energy (joules) = 1/2 x mass (kg) x velocity2 (m/s)  Note that: 200 kg-m2/s2 = 200 (kg-m/s2) x m = 200 N x m = 200 joules.

Explanation:

Answer:

Heat decreases the thermal energy of an object as energy moves to the air. Heat causes the thermal energy of the object to increase as energy moves from the warmer air to the colder object. Heat has no effect on thermal energy, but it increases the potential energy of an object.

Answer:

#showerthoughts

Explanation:

Answer:

he covered 80km his displacement was 20km

Explanation:

displacement is the distance from the starting point so in this case its 20 (50-30) and total distance covered is how many kilometers he drove in total

Answer:

According to Newton's third law, for every action force there is an equal (in size) and opposite (in direction) reaction force. ... The baseball forces the bat to the left; the bat forces the ball to the right. Together, these two forces exerted upon two different objects form the action-reaction force pair.

Answer:

b

Explanation:

Split up the acceleration into horizontal and vertical components:

a = (1.4 m/s²) (cos(35º) i + sin(35º) j)

a ≈ (1.15 m/s²) i + (0.803 m/s²) j

Do the same with the pulling force (denoted by p):

p = (250 N) (cos(35º) i + sin(35º) j)

p ≈ (205 N) i + (143 N) j

By Newton's second law, the net horizontal force is proportional to the horizontal acceleration according to

∑ F = m a

The only horizontal force acting on the cart is the horizontal component of the pulling force. So we have

205 N = m (1.15 m/s²)

m ≈ 178.571 kg ≈ 180 kg