A person travels by car from one city to another. She drives for 30.1 min at 82.1 km/h, 9.11 min at 83.1 km/h, 49.6 min at 41.3 km/h, and spends 18.7 min along the way eating lunch and buying gas. Determine the distance between the cities along this route. Answer in units of km.

Answer:

The magnitude of the final velocity of the water balloon is 84.3 m/s.

Explanation:

To calculate the velocity of the water balloon when it strikes the ground we need to use the next equation:

[tex] v_{f}^{2} = v_{0}^{2} - 2gh [/tex]

Where:

[tex]v_{f}[/tex]: is the final velocity =?

[tex]v_{0}[/tex]: is the initial velocity = 2 m/s

g: is the gravity = 9.81 m/s²

h: is the height = 4.5 m

By entering the above values into equation (1) we have:

[tex] v_{f}^{2} = v_{0}^{2} - 2gh = (2 m/s)^{2} - 2*9.81 m/s^{2}*4.5 m = -84.3 m/s [/tex]

The minus sign is because the direction of the velocity vector is in the negative vertical axis.  

Therefore, the magnitude of the final velocity of the water balloon is 84.3 m/s.

I hope it helps you!

Given that,

Force in right side = 50 N

Force in left side = 110 N

To find,

The resultant and direction of force.

Solution,

Let the net force F is acting on the rope. Also, we can assume that right side is positive and left side is negative.

F = 50+(-110)

= -60 N

So, the magnitude of the resultant force acting on the rope is 60 N and it acts in left side.

Answer:

48,2 m/s²

Explanation:

We're gonna use the Centripetal Acceleration formula: v² / r but before that, we got to know the velocity, that is not shown clearly to us, so....

To know the velocity let's calculate the distance that the ball traveled

The circumference of a circle formula is:

2piR

2 . 3,14 . 7,1 | That is equal to 44,588 m

We know that the ball traveled this distance 3,9 times, so...

44,588 . 3,9 = 173,8932 m

Ok, now we have the distance, just need to know the time, that is 9.4 seconds.

Velocity = Distance / Time

V = 173,8932 / 9,4

V = 18,5 (approximate)

So...

We are back to the first formula:

Ca = v² / r

Ca = 18,5² / 7.1

Ca = 48,2 m/s² (approximate)

I hope it is correct, hahaha.

A) the forces are acting in the same direction.. B) Together, forces are acting in opposite directions

Answer:

A) 80 N

B) 20 N

Explanation:

A) If the forces acting are in the same direction, then the net force will be a sum of both so many faces..

Thus;

ΣF = 50 + 30

ΣF = 80 N

B) If the forces are acting in the in opposite directions with the larger force pointing in the positive y-axis then, the net force is;

ΣF = 50 - 30

ΣF = 20 N

Answer:

the answer may be mass and distance

Answer:

380m

Explanation:

We have the speed of the spaceship v = 0.75c

Max measures contracted length L of the spaceship as it travels

We have been given L = 250m

As this ship stops he is going to get exact length of the ship = Lol

We solve using this formula

L = Lo√ 1-v²/c²

From the formula above we make Lo subject of the formula

When we input values

Lo = 250/√1-(0.75c/c)²

= 250/√1-(0.75)²

= 250/√0.4375

= 250/0.6614

= 377.98

This is approximately 380

Answer:

jrirnr tn

Explanation:

and then we was just wondering what we should be talking to about to see how you are

Answer:

k = 3.5 N/m

Explanation:

It is given that the time period the bob in pendulum is the same as its time period in spring mass system:

[tex]Time\ Period\ of\ Pendulum = Time\ Period\ of\ Spring-Mass\ System\\2\pi \sqrt{\frac{l}{g}} = 2\pi \sqrt{\frac{m}{k}[/tex]

[tex]\frac{l}{g} = \frac{m}{k}\\\\ k = g\frac{m}{l}[/tex]

where,

k = spring constant = ?

g = acceleration due to gravity = 9.81 m/s²

m = mass of bob = 125 g = 0.125 kg

l = length of pendulum = 35 cm = 0.35 m

Therefore,

[tex]k = (9.81\ m/s^2)(\frac{0.125\ kg}{0.35\ m})\\\\[/tex]

k = 3.5 N/m

Answer:

Speed of the approaching train = 15.45 m/s

Explanation:

Given:

Frequency F0 = 220 Hz

Beat frequency F1 = 10.0 Hz

Find:

Speed of the approaching train

Computation:

Approaching frequency F2 = 220 + 10.0 Hz

Approaching frequency F2 = 230 Hz

Doppler shift;

F = [(v+v0)/(v-vS)]F0

230 = [(340+v0)/(340-0)]220

V0 = 15.45 m/s

Speed of the approaching train = 15.45 m/s

Answer:

[tex]\tau = 50.4Nm\\[/tex]

Explanation:

Torque is expressed according to the formula;

[tex]\tau = Fr\\[/tex]

F is the force exerted

r is the radius

Given

F = 180N

r = 0.280m

Required

Torque

Substitute into the formula and get torque

[tex]\tau = 180 \times 0.280\\\tau = 50.4Nm\\[/tex]

Hence the torque exerted is 50.4Nm

Answer:

proton and neutrons

Explanation:

electron has negligible mass

Answer:

250000Pa

Explanation:

Given parameters:

Force applied = 175N

Area = 7cm²

Unknown:

Pressure exerted by the air in the pump = ?

Solution:

Pressure is the force per unit area acting on a body;

        Pressure  = [tex]\frac{force }{area}[/tex]

Area  = 7cm²  ;

           10000cm²   = 1m²

        7cm² is 7 x 10⁻⁴m²

Pressure  = [tex]\frac{175}{0.0007}[/tex] = 250000Pa

This question is incomplete, the complete question is;

Argon gas (a monatomic gas) is sometimes used to insulate a double-pane window for purposes of insulation. In a particular window, the space in between two glass sheets has a volume of 0.025 m³.

If the temperature of the gas is 290 K . what is the rms speed of the gas atoms ?

The atomic mass of Argon is 39.9 u.

(1 u = 1.66 x 10⁻²⁷ kg) Enter your answer in m/s.

Enter your Answer in m/s

Answer: the rms speed of the gas atoms is 425.754 m/s

Explanation:

Given that;

mass of Argon = 39.9 u

and 1 u = 1.66 x 10⁻²⁷ kg

so 39.9 × 1.66 x 10⁻²⁷ kg = 6.6234 x 10⁻²⁶

Temperature T = 290 K

Now

V_rms = √( 3KT / M)

where Boltzmann's constant K = 1.38 × 10⁻²³ m²kg s⁻² K⁻¹

so we substitute

V_rms = √( 3 × 1.38 × 10⁻²³ × 290 / 6.6234 x 10⁻²⁶)

V_rms = √( 181266.419)

V_rms = 425.754 m/s

Therefore the rms speed of the gas atoms is 425.754 m/s

Explanation:

It exists in the tube as single molecules in liquid form. But when they come into contact with water, the molecules react with hydroxide ions to form long polymer chains that set into a hard solid. As there is a thin layer of moisture covering most surfaces, cyanoacrylate can bond them together very effectively.

The runners meet at 0.615mi away from the flagpole due to constant velocity.

Velocity informs us of the rate of change of your position, or how quickly your location is altering in relation to time. The difference between your end and beginning positions is referred to as displacement in physics, and velocity is defined as displacement divided by time. Additionally, an object is considered to be moving with constant velocity if it covers the same distance every second.

A vector is a speed that is constant. For a quantity to be fully described, it needs both a magnitude and a direction. Distance per time units is defined as constant velocity. The velocity tells you how quickly your distance is changing per unit of time or how quickly your location is changing.

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Answer:

The friction force has a magnitude of 54 N and points to the left

Explanation:

Friction Force

When an object is moving and encounters friction in the air or rough surfaces, it loses acceleration because the friction force opposes motion.

The friction force when an object is moving on a horizontal surface is calculated by:

[tex]Fr=\mu N[/tex]

Where \mu is the coefficient of static or kinetics friction and N is the normal force.

If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:

N = W

Thus, the friction force is:

[tex]Fr=\mu W[/tex]

The ice skater accelerates a block to the right on frictionless horizontal ice and then stops pushing it. The block continues to move at a constant speed when it finds a sand-covered surface with a kinetic coefficient of friction of 0.36.

The friction force is:

Fr=0.36*150

Fr = 54 N

The friction force has a magnitude of 54 N and points to the left

Answer:

False

whenever the string breaks, the ball will follow the straight line tangential path

Explanation:

No, the ball will not follow a curved path after the string breaks. Since, the the direction of velocity is tangential to each point of the circular motion. Therefore, it changes at every point. This produces an acceleration in the circle called centripetal acceleration. There is also a tangential component of acceleration acting on the ball during this motion.

So, whenever the string breaks, the ball will follow the straight line tangential path. Hence, the given statement is false.

Answer:

This is because part of the energy input is used to overcome gravity, inertia and friction

On heating a lead bar, its volume increases, density decreases and its mass remains constant.

According to Ideal gas equation,

pV = nRT

ρ = m / V

V = Volume

T = Temperature

ρ = Density

m = Mass

Based on Ideal gas equation, Volume is directly proportional to Temperature. As temperature increases, volume also increases. Based on density formula, Volume is indirectly proportional to Density. As Volume increases density decreases.  

In any reaction, the mass is always conserved. Because, mass is the amount of matter present in a substance. During a reaction, atoms are neither created nor destroyed, just rearranged. So the mass always remains constant.  

Therefore, if a lead bar was heated to 120°C, its volume increases, density decreases and its mass remains constant.

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Answer:

Slowing down

Explanation:

Carlos is travelling to the right as indicated by his velocity, so his velocity is +5m/s. He is also accelerating to the left which is the opposite direction to his velocity so his acceleration is -1.2m/s2 to the right.

Since his acceleration is negative relative to his velocity and direction of motion, his speed is decreasing and he is slowing down.

Hope this helped!

Answer:

1425kgm/s

Explanation:

Given parameters:

Mass  = 95kg

Velocity  = 15m/s

Unknown:

Momentum  = ?

Solution:

The momentum of a body is the amount of motion it posses;

  Momentum  = mass x velocity

Insert the parameters and solve;

 Momentum  = 95 x 15  = 1425kgm/s

Answer:

132 N

Explanation:

Given that a  1.1 kg hammer strikes a nail. Before the impact, the hammer is moving at 4.5 m/s; after the impact it is moving at 1.5 m/s in the opposite direction. If the hammer is in contact with the nail for 0.025 s, what is the magnitude of the average force exerted by the hammer on the nail

From Newton 2nd law of motion,

Change in momentum = impulse.

Change in momentum = m( V - U )

Substitute all the parameters into the formula

Change in momentum = 1.1 ( 4.5 - 1.5 )

Change in momentum = 1.1 × 3

Change in momentum = 3.3 kgm/s

Impulse = Ft

That is,

Ft = 3.3

Substitute time t into the formula above

F × 0.025 = 3.3

F = 3.3 / 0.025

F = 132 N

Therefore, the magnitude of the average force exerted by the hammer on the nail is 132 N.

Answer:

im pretty sure its a

Explanation:

Answer:

[tex]K.E = (\frac{1}{2})Pv[/tex]

Explanation:

The momentum of a particle is defined as the product of its mass and velocity:

[tex]P = mv[/tex]   -------------------- equation (1)

where,

P = momentum of the particle

m = mass of the particle

v = velocity of the particle

The kinetic energy of the particle is given as follows:

[tex]K.E = (\frac{1}{2})mv^2\\\\K.E = (\frac{1}{2})v(mv)[/tex]

using equation (1), we get:

[tex]K.E = (\frac{1}{2})Pv[/tex]

Answer:

[tex]Vf^2=Vo^2+2aS\\(0m/s)^2=(4.67m/s)^2+(2*-10m/s^2)S\\-(4.67)^2 m^2/s^2=-20m/s^2*S\\S=(21.8089/20) m\\S=1.090445 m\\[/tex]