[9]
(b) A billiard ball B at rest is struck by an identical ball A moving with a speed of 10 m/s along
the positive y-axis. After the collision, the two balls move off in directions that are perpendicular
to each other, with ball A making 15° with the positive y-axis. Find the final velocities (Direction
and magnitude) of both balls. [16]​

Answer:

5 N

Explanation:

From the question,

The magnitude of the force that would be required to just loosen the nut when the force is applied perpendicularly at the end of the handle is

Fy = Fsinθ................. Equation 1

Where Fy = force acting perpendicular at the end of the handle, F = Force applied to the handle, θ = angle of inclination of the force to the end of the handle.

Given: F = 10 N, θ = 30°

Substitute these values into equation 1

Fy = 10(sn30°)

Fy = 10(0.5)

Fy = 5 N.

Answer:

Using sold paper is better than to burn it because burning paper may cause pollution.

Explanation:

Hope it will help ^_^

Answer:

Explanation:

[tex]Distance = 490 \:km\\Time = 4.2 \:hours\\\\Average\:speed = \frac{Distance}{Time} \\\\A.V = \frac{490}{4.2} \\\\A.V = 116.67km/h[/tex]

Answer:

The  value is  [tex]g =  16.104 \  m/s[/tex]

Explanation:

From the question we are told that

 The  length is  [tex]l = 53.0 \ cm = 0.53 \ m[/tex]

 The  number of cycle is  [tex]n = 105[/tex]

  The time taken is  [tex]t = 125 \ s[/tex]

The period is mathematically represented as

    [tex]T  =  2 \pi \sqrt{\frac{ l}{g} }[/tex]

Also the period is mathematically represented as

      [tex]T    =  \frac{ t}{n}[/tex]

      [tex]T  =  \frac{125}{110}[/tex]

      [tex]T  =  1.14 \ s/cycle[/tex]

So

      [tex]1.14  =  2 * 3.142  \sqrt{\frac{ 0.53}{g} }[/tex]

=>   [tex]g =  \frac{ 4 *  3.142^2 *  0.53}{1.14^2}[/tex]

=>     [tex]g =  16.104 \  m/s[/tex]

Answer:

B.  The brain moves inside the skull with a force equal and opposite to that of the impact.

Explanation:

Just took the test and got it correct.

Applying Newton's laws the brain is in danger of injury when an impact is made to our head because ; ( B ) The brain moves inside the skull with a force equal and opposite to that of the impact

According to Newton's law an object will continue to be at rest except a force ( impact ) acts on it. also the third law of Newton states that when two objects interact ( The brain and the impact to the head ) they apply forces of equal magnitude to each other but in opposite directions from one another.

The Impact to the head will have a direct effect on the brain because the brain will move in opposite direction to the direction of the impact and with the same magnitude which will lead to an injury to the brain because the brain is suppose to be at rest at all times and not in motion.

Hence we can conclude that Applying Newton's laws the brain is in danger of injury when an impact is made to our head because The brain moves inside the skull with a force equal and opposite to that of the impact.

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Answer:

Let's take the frequency receive by police officer to be

f¹/f²= u-v/u+v

So 1255/1205= 340-v/340+v

V= 6.9m/s positive value implies that the car is moving toward the police

2 to find frequency we use

f/1205= 340+25/340-25

f= 1396Hz

Answer:  C. the motion of a spacecraft under gravitational influence.

Explanation:

A is Metallurgy, B is Biology, C is astro-physics, I am not sure what D is, but it's   safe to say it's not physics, E, micro-biology, and the study of radiation. C is the only one involving physics.

Answer this question

Explanation:

Answer:

5m/s²

Explanation:

v²-v¹ =50 - 25 = 25m/s = 5m/s²

t 5 5

Answer:

yes it would.

Explanation:

Answer:

2.3*10^8m/s

Explanation:

Using

V = c/n

Where c= speed of light

n = refractive index of water

By substituting

We have

V= 3*10^8m/s/1.33

= 2.3*10^8m/s

Answer:

E = 134.85 N/C

Explanation:

We are given;

Electric field location; b = <-0.2, -0.4, 0> m

Charge: q = 3 nc = 3 × 10^(-9) C

From the location given, we have total distance;

r = √((-0.2²) + (-0.4)² + (0²))

r = √0.2

Formula for Electric field is;

E = kq/r²

where;

k is a constant with a value of 8.99 x 10^(9) N.m²/C²

q is charge on the proton particle with a costant value = 1.6 × 10^(-19) C

r is the distance

Plugging in the relevant values, we have;

E = (8.99 x 10^(9) × 3 × 10^(-9))/(√0.2)²

E = 134.85 N/C

Find out more information about  <-0.2, -0.4, 0> here:

https://brainly.com/question/13309193

Explanation:

When light travels from air into water, due to the change in refractive index of the two medium, refraction of light occurs.

Velocity of light in a medium is given by :

[tex]v=\dfrac{c}{n}[/tex]

c is speed of light

n is refractive index

The frequency remains the same in every medium. It means that the its velocity and wavelength change, but its frequency does not change.

Answer:

26 lbft

Explanation:

Given that

Force exerted by the woman, F = 5 lb

Length of the ramp, d = 6 ft

angle of inclination, θ = 30° above the horizontal

Work done on the box, W = ?

This is very much a straightforward question..

Work done, W = F * d, where the force takes the factor of the Angie if inclination. So that,

W = Fcosθ * d

On substituting, we have

W = 5 * cos 30 * 6

W = 5 * 0.866 * 6

W = 30 * 0.866

W = 25.98 lbft

Therefore, the work done on the box is 25.98 or approximately 26 lbft

Answer:

[tex]\Huge \boxed{\mathrm{2298.57 \ seconds}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Explanation:

[tex]\displaystyle \sf Speed = \frac{Distance \ covered }{Time \ taken}[/tex]

[tex]\displaystyle \sf s = \frac{d }{t}[/tex]

The speed is 0.7 m/s.

The distance covered is 1609 m.

[tex]\displaystyle \sf 0.7 = \frac{1609 }{t}[/tex]

Multiplying both sides by t.

Then dividing both sides by 0.7.

[tex]\displaystyle \sf t = \frac{1609 }{0.7}[/tex]

[tex]\sf t= 2298.57[/tex]

It would take 2298.57 seconds.

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\huge\boxed{\sf t = 2298.57\ secs}[/tex]

Explanation:

Given:

Speed = v = 0.7 m/s

Distance = S = 1 mile = 1609 metre

Required:

Time = t = ?

Formula :

v = S/t

Solution:

v = S/t

t = S/v

t = 1609 / 0.7

t = 2298.57 secs

Answer:

F=2496 N

Explanation:

Given that,

Mass of SUV, m = 1600 kg

Initial speed, u = 0

Final speed, v = 25 m/s

Distance, d = 200 m

We need to find the net force. Firstly, let's find acceleration using equation of motion.

[tex]v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(25)^2-(0)^2}{2\times 200}\\\\a=1.56\ m/s^2[/tex]

Net force, F = ma

[tex]F=1600\times 1.56\\\\F=2496\ N[/tex]

So, the net force is 2496 N.

The amount of net force that will be required to accelerate a 1600kg SUV from rest to a speed of 25 m/s in a distance of 200m is 2500N

HOW TO CALCULATE NET FORCE:

Where:

Since a = 1.563m/s²

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84km/hr

Explanation:

To find one light yr

= 3E8m/s x 24x 365/1000

= 996980E7kms

So

Radius of orbit for 24000light years

=996980E7kms x 24000

Total orbit distance is = 2πr

= 2 *π x 996980E7kms x 24000

Total time will be

= 194E6 x 24x365 hrs

Finally speed = distance/ time

= 2 *π x 996980E7kms x 24000/194E6 x 24x365 hrs

= 84km/hr

Answer:

The final velocity of the object after 2 seconds is 30 m/s

Explanation:

Given;

constant downward acceleration, a =  10 m/s²

initial velocity of the object falling down, v = 10 m/s

time of fall, t = 2 s

The final velocity of the object is given by;

v = u + at

where;

v is the final velocity

v = 10 + (10)(2)

v = 10 + 20

v = 30 m/s

Therefore, the final velocity of the object after 2 seconds is 30 m/s

Answer:

The value  is   [tex]S =  7.96[/tex]

Explanation:

From the question we are told that

       The  power is  [tex]P =  100 \  W[/tex]

       The radius  is  [tex]r =  1 \  m[/tex]

Generally the average value of the magnitude of the Poynting vector is mathematically represented

          [tex]S  =  \frac{P}{4 \pi r^2}[/tex]

   =>    [tex]S =  \frac{ 100 }{ 4 *3.142 *1^2 }[/tex]

  =>     [tex]S =  7.96[/tex]

Answer:

The slower runner is 1.71 km from the finish line when the fastest runner finishes the race.

Explanation:

Given;

the speed of the slower runner, u₁ = 11.8 km/hr

the speed of the fastest runner, u₂ = 15 km/hr

distance, d = 8 km

The time when the fastest runner finishes the race is given by;

[tex]Time = \frac{Distance }{speed}\\\\Time = \frac{8}{15} \\\\Time = 0.533 \ hr[/tex]

The distance covered by the slower runner at this time is given by;

d₁ = u₁ x 0.533 hr

d₁ = 11.8 km/hr x 0.533 hr

d₁ = 6.29 km

Additional distance (x) the slower runner need to finish is given by;

6.29 km + x = 8km

x = 8 k m - 6.29 km

x = 1.71 km

Therefore, the slower runner is 1.71 km from the finish line when the fastest runner finishes the race.

Explanation:

It is given that,

Power of EM waves, P = 1800 W

We need to find the intensity at a distance of 5 m. Also, the rms value of the electric field.

Intensity,

[tex]I=\dfrac{P}{4\pi r^2}\\\\I=\dfrac{1800}{4\pi\times (5)^2}\\\\I=5.72\ W/m^2[/tex]

The formula that is used to find the rms value of the electric field is as follows :

[tex]I=\epsilon_o cE^2_{rms}[/tex]

c is speed of light and [tex]\epsilon_o[/tex] is permittivity of free space

So,

[tex]E_{rms}=\sqrt{\dfrac{I}{\epsilon_o c}}\\\\E_{rms}=\sqrt{\dfrac{5.72}{8.85\times 10^{-12}\times 3\times 10^8}}\\\\E_{rms}=46.41\ V/m[/tex]

Hence, this is the required solution.

Answer:

I think the answer is D.

Answer:

The potential energy of a 2 kg mass at a height of 40 meters is 784 J

Explanation:

Potential energy is that energy that a body possesses due to the height at which it is located and whose unit of measurement of the International System of Units is the joule (J).

The potential energy of a body is the result of multiplying its mass by its height and by gravity:

Ep=m*g*h

Potential energy Ep, is measured in joules (J), mass m is measured in kilograms (kg), gravity, g, in meters / second-squared ([tex]\frac{m}{s^{2} }[/tex]), and height, h , in meters (m).

In this case:

Replacing:

Ep= 2 kg* 9.8 [tex]\frac{m}{s^{2} }[/tex] * 40 m

Solving:

Ep= 784 J

The potential energy of a 2 kg mass at a height of 40 meters is 784 J

Answer:

Volume flow rate = [tex]1.41 \times 10^{-3}m^3/s[/tex]

Explanation:

The volume flow rate through a channel can be gotten by multiplying its area and its velocity.

The channel under consideration is a circular channel. Hence, the cross-sectional area can be calculated by using the relation for calculating the area of a circle

Cross-sectional area = [tex]\pi \times d^{2}/4[/tex]

[tex]A = \pi \times (3\times 10^-2)^2 /4 = 7.07 \times 10 ^-4 m^2[/tex]

volume flow rate= [tex]A = 7.07 \times 10 ^-4 m^2 X 2.0 = 1.41 \times 10^{-3}m^3/s[/tex]

Volume flow rate = [tex]1.41 \times 10^{-3}m^3/s[/tex]

Answer:

1319.14 lb

Explanation:

From the question above,

Density of the Blazblue extract = mass of Blazblue extract/volume of Blazblue extract.

D = m/v.............. Equation 1

make m the subject of the equation

m = D×v.................... Equation 2

Given: D = 0.770 grams per millilitre, v = 29053 liters = 29053000 millilitres

Substitute these values into equation 2

m = 0.770×29053000

m = 22370810 grams

If,

1 gram = 0.00220462 pounds,

Then,

22370810 grams = (22370810×0.00220462) = 41319.14 lb

Answer:

the magnetic field must go in a direction parallel to the page perpendicular to the current.

Explanation:

The Hall effect is the voltage produced by the movement of electrons due to the effect of electric and magnetic fields in a material

            F = eE + v x B

The electric field goes in the direction of the current that is opposite to the direction of the electrons, therefore the magnetic force must be perpendicular to it.

Therefore, if the current goes in a direction parallel to the page, in the x direction, the magnetic field must be perpendicular to it if we use the rule of the right wizard,

thumb points in the direction of E, x axis parallel page

The fingers extended should go parallel to the page in the direction and up

The palm is the direction of the Force, where the voltage will be produced points out the page, this is for positive charges, as in germanium the charges are negative, the real force goes into the page.

Therefore the electrons accumulate on the inside of the page and the voltage is negative in this part.

Therefore the voltage is positive on the outside of the sheet. In conclusion the magnetic field must go in a direction parallel to the page perpendicular to the current.

Answer:

Explanation:

Given the the path of an object at a 45° with initial velocity of 80 feet per second modeled by the equation [tex]h(x) = (-\dfrac{32}{80^2} )x^2 + x[/tex] where;

x is the horizontal distance traveled and h(x) is the height in feet, if x is given as 100 ft, the height of the object will be gotten by simply substituting x = 100 into the modeled function as shown;

[tex]h(x) = (-\dfrac{32}{80^2} )x^2 + x\\\\h(100) = (-\dfrac{32}{80^2} )100^2 + 100\\\\h(100) = (-0.005 )100^2 + 100\\\\h(100) = (-0.005 )10,000 + 100\\\\h(100) = -50 + 100\\\\h(100) =50 feet[/tex]

Hence height of the object when it has traveled 100 feet away horizontally is 50 feet.

Answer:

A. 23.9

B.22.9

C. The levels will be equal

D. Obviously that will be to maintain atmospheric pressure

Explanation:

For mercury the pressure in both tubes at R is same so

P_left = P_right

Thus

=>>>Po + rho_t x g x (5 + R - 1.5) = Po + rho_ m x g x R

rho_t x g x (5 + R - 1.5) = rho_m x g xR

rho_t x (3.5 + R) = rho_m x R

3.5 + R = (rho_m/rho_t) x R

3.5 + R = (13560/867) x R

3.5 + R = 15.64 x R

R x (15.64 - 1) = 3.5

R = 3.5/14.64

= 0.239 m

= 23.9 cm  this is for Mercury

ii)water

similarly,

3.5 + R = (rho_w/rho_t) x R

3.5 + R = (1000/867) x R

3.5 + R = 1.153 x R

R X (1.153 - 1) = 3.5

R = 3.5/0.153

= 22.9m for water

The nuclear force is a force that acts between the protons and neutrons of atoms.

The nuclear force is a force that binds the protons and neutrons in a nucleus together.This force can exist between protons and protons,neutrons and protons and neutrons and neutrons.This force is what hold the nucleus together.