1. A Force of 50N acts uniformly over and at night angles to a surface. When
the area of the surface is 5m2, then the pressure on the area is:
A. 250Pa
B. 10Pa
C. 45Pa
D. 55Pa
​

Answer:

The hunter should aim directly at the perched monkey because the tranquilizer dart will fall away from the line sight at the same rate that the monkey falls from its perch.

Tan theta = 9 / 90 = .1      so theta = 5.71 deg

The time for the monkey to reach the ground is

t = (2 h / g)^1/2 = (18 / 9.8)^1/2 = 1.36 sec

So the horizontal speed of the dart must be at least

Vx = 90 m / 1.36 sec = 66.4 m/s

Vx = V cos theta

V = 66.4 m/s / cos 5.71 = 66.7 m/s

The angle of projection of the tranquilizer dart is 5.7⁰

The horizontal speed of the tranquilizer dart is 66.5 m/s

The given parameters;

The angle of projection of the tranquilizer dart is calculated as;

[tex]tan(\theta) = \frac{y}{x} \\\\tan(\theta) = \frac{9}{90} \\\\tan(\theta) = 0.1\\\\\theta = tan^{-1}(0.1)\\\\\theta = 5.71 ^0[/tex]

The speed of the tranquilizer dart is calculated as;

X = v₀ₓt

where;

t is the time to reach maximum height

X is the horizontal displacement = 90 m

The time to reach maximum height is calculated as;

[tex]h = v_0_yt + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2\times 9}{9.8} } \\\\t = 1.36 \ s[/tex]

The horizontal speed of the tranquilizer dart is calculated as;

[tex]X = v_0cos(\theta) \times t\\\\90 = v_0\times cos(5.71) \times 1.36\\\\90 = 1.353 v_0\\\\v_0= \frac{90}{1.353} \\\\v_0 = 66.5 \ m/s[/tex]

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Answer:

fundamental quantity can simply be defined as an independent quantity while derived quantity is dependent i.e. the derive their quantities from the fundamental

Answer:

i have no idea

Explanation:

im am quite sorry

The compound name for SrI₂ is strontium iodide.

A compound is a substance formed when two or more elements chemically combine together. It is composed of atoms of different elements that are held together by chemical bonds. Compounds have unique chemical and physical properties that are different from the elements they are made of.

Strontium iodide is an ionic compound consisting of strontium cations (Sr2+) and iodide anions (I-). When strontium (Sr) and iodine (I) react, they undergo a chemical reaction to form SrI₂.

Therefore, The name of the compound SrI₂ is strontium iodide.

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Answer:

An electromagnet is made by forming a coil around a soft iron bar (known here as the metal) such as a nail or  screw and connect with an insulated copper wire (known here as the electric current conductor) the ends of the wound copper is then connected separately to the positive and negative terminals of a battery (known here as the source of electric current)

The north seeking needle of the magnetic compass will move away when brought close to the north pole of the formed electromagnet which can then be labelled N

The magnetic compass needle will be attracted to the south pole of the electromagnet which can then be labelled S

Explanation:

An electromagnet is an electric powered magnet that is formed (temporarily) by the perpendicular movement of electric current with respect to a metal core

The magnitude and the poles of an electromagnet can be changed by changing the magnitude and the direction of flow of the electric current respectively.

Answer:

Hey!

Your answer would be option B. Light; heat...

Explanation:

In bioluminescent organisms, the energy is transformed int light energy and less then 20% of the total energy is put into Thermal Radiation!

HOPE THIS HELPS!!

Answer: 180 m south

Explanation:

The displacement of the horse in this time is 180 m south. The correct option is A.

The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.

Velocity is the time rate of change of displacement with time.

Given is a horse runs for 15 seconds to the south at a speed of 12 m/s. So, the displacement is

Displacement = Speed x Time

Put the values, we get

Displacement = 12 m/s x 15s

                      = 180 m

Thus, the displacement of the horse in this time is 180 m south.

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Answer:

Na is a alkaline metal, it can very easy give an electron, and form positive ion.  Cl is a very strong non-metal(halogen),  and it is able to take electron, and form negative ion. Positive and negative ion can attract to each other and form ionic bond.

Answer:

Acceleration (a) = 40 m/s²

Explanation:

Given:

Initial velocity (u) = 6 m/s

Final velocity (v) = 4.4 m/s

Time taken (t) = 0.04sec

Find:

Acceleration (a) = ?

Computation:

We know that,

⇒ v = u + at

⇒ a = (v - u) / t

⇒ Acceleration (a) = (4.4 - 6) / 0.04

⇒ Acceleration (a) = (-1.6) / 0.04

Acceleration (a) = 40 m/s²

Answer:

400m

Explanation:

From Newton's law of motion;

S = ut + 1/2 at2

Where U is initial velocity

a is acceleration

t is velocity hence;

S is distance covered

S = 20×10 + 1/2 × 4×(10)^2

= 200 + 200 = 400m

Answer:

Voltage.

Explanation:

Answer: because of air resistance. See explanation for further details.

Explanation: Galileo performed an experiment to proof that the time of descent of two different masses is independent of time.

But in reality this is most likely not true because of air resistance and other fluid frictional effects in consideration.

If the experiment is performed in a vacuum, it will always be true that time is independent of masses of two falling objects.

Answer:

5 Ω

Explanation:

When it is bent into a square, each side of the square will get 5 Ω resistance. As considered diagonally ,path of the wire between to diagonal points is the two sides of the square (that is half the length of the wire connected in parallel position). Which gives 10 ohm parallel to 10 ohm wire. So it finally read as 5 Ω wire

Answer:

a_max = 50 cm/s^2

Explanation:

To find the magnitude of the maximum acceleration of the particle, you take into account the equation of motion in a simple harmonic motion:

[tex]x=Acos(\omega t)[/tex]

ω: angular velocity = 10 rad/s

A: amplitude = 5 cm

The acceleration is given by:

[tex]a=\omega^2 x[/tex]

and the maximum acceleration is obtained when the cosine function is maximum, that is, when cos(wt) = 1. Then, you have:

[tex]a_{max}=\omega^2 x_{max}=\omega^2A[/tex]

Then, you replace the values of w and A in order to calculate a_max:

[tex]a_{max}=(10rad/s)^2(5cm)=50\frac{cm}{s^2}[/tex]

hence, the maximum acceleration is 50 cm/s^2

Answer:

Do u want to talk?

Explanation:

Answer:

You found answer yet?

Explanation:

Answer:

B

Explanation:

One positive charger and one negative charger

Answer:

The graph of G(x) is the graph of F(x) shifted 1 unit to the left and 3 units down.

Explanation:

f(x + q) which is left q units

f(x - q) which is right q units

f(x) + q which is up q units

f(x) - q which down q nits

and

G(x) = F(x + 1) - 3

So,

f(x + 1) shifts to left 1 unit

f(x) - 3 shifts to down 3 units

So, the correct answer is B.

The graph of G(x) is the graph of F(x) shifted 1 unit to the left and 3 units down.

Explanation:

Work = force × distance

W = (54 N) (0.64 m)

W ≈ 35 J

Answer:

0.125m/s^2

Explanation:

20-10=10

10 divided by 80=0.125m/s^2

The average velocity of the car is 15 m/s. The time taken to travel over the distance with this velocity is 5.3 seconds. Then the acceleration of the car is 1.8 m/s².

Acceleration is a physical quantity measuring the rate  of change in velocity of a moving object. Like velocity, acceleration is a vector quantity having magnitude and direction.

Acceleration is the ratio of change in velocity to the change in time.

a = Δv/Δt

Given, the car is accelerating from 10 to 20 m/s. Hence, it travelled with average velocity of 15 m/s over the distance of 80 m.

Then , time taken  = distance/velocity

t = 80 m/15 m/s = 5.3 s

Acceleration = Δv/t = (20 -10 m/s) /5.3 s = 1.8 m/s².

Therefore, the acceleration of the car is about  1.8 m/s².

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Answer:

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

Explanation:

Given;

Mass of rhinoceros m = 1000kg

Velocity v = 15m/s

The kinetic energy of the body at this speed is;

K.E = 0.5×mv^2 ........1

Substituting the values of m and v into equation 1;

K.E = 0.5×1000×15^2

K.E = 112500 J

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

Answer:

First one is hyperopia, second is myopia

Explanation:

Hyperopia is when the image is formed behind the retina.

Myopia is when images are formed infront of the retina.

The boat has to pull with MORE force. Don't forget about the force of friction with the water, pulling the skier in the backwards direction. The force that accelerates him is the NET force ... boat force minus water resistance. So the boat force has to be greater than the net accelerating force.

Answer:

10.2 m/s

Explanation:

Using conservation of energy:

PE = KE

mgh = ½ mv²

v = √(2gh)

v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)

v = 10.2 m/s

The velocity when car reaches the bottom of the hill is 10.2 m/s.

The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.

M.E = KE +PE

M.E = ½ mv² + mgh

where g is the acceleration due to gravity, v is the velocity, m is the mass and h is the height of the object.

Given is a 1380 kg car starts from rest at the top of a 28.0 m long hill inclined at 11.00 degrees.

Using conservation of energy principle, we have

PE = KE

mgh = ½ mv²

v = √(2gh)

Substitute the values, we get

v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)

v = 10.2 m/s

Thus, the velocity when car reaches the bottom of the hill is 10.2 m/s.

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Answer:

5.) 16.8 m/s

6.) 16.1 mph

7.) Moving fast.

Explanation:

5.) From the question, the total time will be:

7:33 am to 7:45 am = 12 minutes

As the car turns around,

7 : 45 am to 8 : 00am = 15 minutes

As you get back in the car and drive 15

miles north to school at a constant speed arriving at school at 8:29 am

8:00am to 8:29 am = 29 minutes

Total time = 12 + 15 + 29 = 56 minutes

Convert the minutes to second by multiplying the result by 60

Total time = 56 × 60 = 3360 seconds

Total distance covered will be

10 miles + 10 miles + 15 miles = 35 miles

Convert mile to meter by multiplying the result by 1609.344

35 × 1609.344 = 56327.04

Speed is a scale quantity. It only involves magnitude but no direction.

Average speed = total distance/total time

Average speed = 56327.04/3360

Average speed = 16.764 m/s

6.) Velocity = displacement/time

Velocity is a vector quantity. We will consider both the magnitude and direction

Total displacement = 10 miles - 10 miles + 15 miles = 15 miles.

Total time = 56 minutes

Convert minutes to hours by dividing it by 60

Total time = 56/60 = 0.93 hours

Substitute the time and displacement into the formula

Velocity = 15/0.93 = 16.07 mph

7.) . If you looked at your speedometer on your drive to school and it read 30mph, this value describes you move with a fast speed.

Answer:

mercury

Explanation:

The planet with the smallest mass must have the smallest gravitational pull - which is mercury, with a pull of approx. 0.38 times the Earth's gravitational pull.

Answer:

A. 0.5m/s².

B. –0.5m/s².

C. –0.5m/s².

D. 100m.

Explanation:

A. Determination of the acceleration in the first 20s.

Initial velocity (u) = 0

Final Velocity (v) = 10m/s

Time (t) = 20secs.

Acceleration (a) =..?

Acceleration = change in Velocity /time

a = (v – u)/t

a = (10 – 0)/20 = 10/20

a = 0.5m/s²

Therefore, the acceleration of the cyclist in the first 20secs is 0.5m/s²

B. Determination of the acceleration between 20 and 30s. This can be obtained as follow:

Initial velocity (u) = 10m/s

Final Velocity (v) = 5m/s

Time (t) = 30 – 20 = 10s

Acceleration (a) =..?

Acceleration = change in Velocity /time

a = (v – u)/t

a = (5 – 10)/10 = –5/10

a = –0.5m/s²

Therefore, the acceleration of the cyclist between the 20 and 30secs is

–0.5m/s².

C. Determination of the acceleration in the last 10s.

Initial velocity (u) = 5m/s

Final Velocity (v) = 0

Time (t) = 10s

Acceleration (a) =..?

Acceleration = change in Velocity /time

a = (v – u)/t

a = (0 – 5)/10 = –5/10

a = –0.5m/s²

Therefore, the acceleration of the cyclist between the last 10secs is

–0.5m/s².

D. Determination of the distance travelled by the cyclist when he was moving at a constant speed.

Velocity (v) = 5m/s

Time (t) = 50 – 30 = 20secs

Displacement (d) =?

Velocity = Displacement /Time

v = d/t

5 = d/20

Cross multiply

d = 5 x 20

d = 100m

Therefore, the distance travelled by the cyclist at constant speed is 100m

Answer: The image formed by a plane mirror is always virtual (meaning that the light rays do not come from the image), upright and of the same shape and size as the object it is reflecting.

Answer: B. The angle when it leaves is the same as the angle when it hits

Explanation:

Apex

Answer:

Acceleration (a) = 6 m/s²

Total distance travel by car(s) = 75 meter

Explanation:

Given:

Initial velocity (u) = 0

Final velocity (v) = 30 m/s

Time (t) = 5 sec

Find:

Total distance travel by car(s) = ?

Acceleration (a) = ?

​Computation:

v = u +at

30 = 0 + a(5)

30 = a(5)

Acceleration (a) = 6 m/s²

Total distance travel by car(s) = ut +1/2(a)(t)²

Total distance travel by car(s) = 1/2(a)(t)²

Total distance travel by car(s) = (0.5)(6)(5)²

Total distance travel by car(s) = 75 meter

Answer:

[tex]\lambda=4.81\times 10^{-8}\ m[/tex]

Explanation:

We have,

The surface temperature of the star is 60,000 K

It is required to find the wavelength of a star that radiated greatest amount of energy. Wein's displacement law gives the relation between wavelength and temperature such that :

[tex]\lambda T=2.89\times 10^{-3}[/tex]

Here,

[tex]\lambda[/tex] = wavelength

[tex]\lambda=\dfrac{2.89\times 10^{-3}}{60000}\\\\\lambda=4.81\times 10^{-8}\ m[/tex]

So, the wavelength of the star is [tex]4.81\times 10^{-8}\ m[/tex].

Answer:

When an object falls, its gravitational potential energy is changed to kinetic energy. ... Gravitational potential energy for a mass m at height h near the surface of the Earth is mgh more than the potential energy would be at height 0. (It's up to you where you choose height 0.)

Explanation:

Answer:

Qwertyujiknb vcdxrftyhbvcdxrft6y7uij

Explanation:

Answer:

0.333

Explanation:

Weight of the sinker in water = 25gf

Weight of cork in air and sinker in water = 25gf + 2.5gf

= 27.5gf

Weight of the cork and sinker in water = 20gf

Loss of weight of cork in water = 27.5- 20 = 7.5gf

Rd of cork = weight of cork in air/ loss of weight of cork in water

= 2.5/7.5

= 1/3

= 0.333

Hence the Relative density of the cork is 0.333