a car travelling at 36 km/hr due north turns west in 5 s under constant acceleration and maintains the same speed. the acceleration of the car is

Answers

Answer 1
Answer: If acceleration is constant we calculate it from the formula: 
a=(v)/(t)
v=36(km)/(h)
t=5s
We convert units:
t=5s=(1)/(12)h
a=(36)/( (1)/(12))=432(km)/(h²)=0,033333333333333(m)/( s^(2) )

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The line of sight from a small boat to the light at the top of a 45-foot lighthouse built on a cliff 25 feet above the water makes a 20° angle with the water. To the nearest foot, how far is the boat from the cliff?

Answers

Answer:

The boat is 192 feet from the cliff.

Explanation:

Hi there!

Please see the attached figure for a graphical description of the problem.

Notice that the line of sight, the distance to the cliff and the height to the top of the lighthouse form a right triangle. Hence, we can apply trigonometric rules to find the distance from the boat to the cliff:

cos 20° = adjacent side / hypotenuse

sin 20° = opposite side / hypotenuse

The length of the opposite side is the height of the cliff plus the height of the lighthouse:

opposite side = 45 feet + 25 feet = 70 feet.

Using the equation of sin 20°, we can obtain the hypotneuse:

sin 20° = opposite side / hypotenuse

hypotenuse · sin 20° = opposite side

hypotenuse = opposite side / sin 20°

hypotenuse = 70 feet / sin 20°

hypotenuse = 205 feet

Now, using the equation of cos 20°, we can calculate the distance to the cliff (the length of the adjacent side):

cos 20° = adjacent side / hypotenuse

hypotenuse · cos 20° = adjacent side

205 feet · cos 20° = adjacent side

adjacent side = 192 feet  (without rounding intermediate results)

The boat is 192 feet from the cliff.

Answer:

192 ft.

Explanation:

Tan (20) = Opp/Adj

Tan (20) = (45+25)/x

Tan (20) =  70/x

then x=70/Tan (20)

x= 192.3234 ft, and then rounded to the nearest foot...

x= 192 ft

Your boss asks you to design a room that can be as soundproof as possible and provides you with three samples of material. The only information on each sample's label is the material's coefficient of absorption. The coefficient of absorption listed on Sample A is 30%, on Sample B is 47%, and on Sample C is 62%. When your boss asks for your choice and the reasoning behind it, what would you tell him? A. Sample A would be best, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the smallest.
B. Sample A would be best, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the largest.
C. Sample C would be best, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the smallest.
D. Sample C would be best, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the largest.

Answers

Answer: Option C: Sample C would be best, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the smallest.

Explanation:

The absorption coefficient of the samples is given. Sample A has 30%, Sample B has 47% and Sample C has 62%. This means that sample C absorbs the most percentage of energy incident on it. The energy in the reflected wave would be least. Hence, it would be best to use for a room to make it soundproof.


The correct answer is Option C) Sample C would be best, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the smallest.


As the coefficient of absorption would define the energy present in the reflected wave, the material C has the highest percentage of absorption i.e. 62% and would be best suitable to make a sound proof room.

Which is not a vector quantity? a. displacement
b. velocity
c. time
d. acceleration

Answers

Time is not a vector quantity

A 30cm diameter wheel rotates with a constant angular acceleration of 2.00 rad/s2. It starts from rest at t = 0, and a chalk line drawn to a point, P, on the rim of the wheel makes an angle of 37.1° with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel (b) the linear velocity and tangential acceleration of P

Answers

Answer:

a) 4.00 rad/s

b) 0.6 m/s, 0.3 m/s²

Explanation:

Given:

ω₀ = 0 rad/s

α = 2.00 rad/s²

t = 2.00 s

Find:

a) ω

b) v, a

a) ω = αt + ω₀

ω = (2.00 rad/s²) (2.00 s) + (0 rad/s)

ω = 4.00 rad/s

b) v = ωr

v = (4.00 rad/s) (0.15 m)

v = 0.6 m/s

a = αr

a = (2.00 rad/s²) (0.15 m)

a = 0.3 m/s²

When we say that an object wants to maintain its state of motion, we’re talking about inertia. Which term determines the quantity of inertia for an object?

Answers

Inertia is determined by the mass of the object. greater the mass an object has, greater will be its inertia. smaller the mass an object has, smaller will be its inertia. Greater mass enables an object to resist change in its state of motion or rest while on the other hand smaller mass object can be easily made to change its state of motion or rest.

and object has mass, so if moving, has a momentum value. 

What is the function of brushes ​

Answers

Answer:

A brush is a device which conducts current between stationary wires and moving parts, most commonly in a rotating shaft.