Two skaters, a man and a woman, are standing on ice. Neglect any friction between the skate blades and the ice. The mass of the man is 89 kg, and the mass of the woman is 59 kg. The woman pushes on the man with a force of 46 N due east. Determine the acceleration (magnitude and direction) of (a) the man and (b) the woman

Answers

Answer 1

Answer:

Acceleration of this man: approximately [tex]0.52\; {\rm m\cdot s^{-1}}[/tex] due east.

Accelerate of this woman: approximately [tex]0.78\; {\rm m \cdot s^{-1}}[/tex] due west.

Explanation:

The question implies that the net force on the man is [tex]F = 46\; {\rm N}[/tex] due east. The mass of the man is [tex]m = 89 \; {\rm kg}[/tex]. The acceleration of the man would be:

[tex]\begin{aligned} a &= \frac{F}{m} \\ &= \frac{46\; {\rm N}}{89\; {\rm kg}} && \genfrac{}{}{0}{}{(\text{due east})}{} \\ &\approx 0.52\; {\rm m\cdot s^{-2}} && (\text{due east})\end{aligned}[/tex].

In other words, the acceleration of this man would be approximately [tex]0.52\; {\rm m \cdot s^{-2}}[/tex] due east (same direction as the net force.)

By Newton's Laws of Motion, for every force there is a reaction force that is equal in magnitude but opposite in direction.

The woman in this question is applying a due east [tex]46\; {\rm N}[/tex] force on the man. Thus, this woman would experience a reaction force of the same magnitude ([tex]46\; {\rm N}\![/tex]) and opposite direction (due west) from the man. Under assumptions of the question, the net force on the woman would be [tex]\! 46\; {\rm N}[/tex] due west.

The acceleration of this [tex]m = 59\; {\rm kg}[/tex] woman would be:

[tex]\begin{aligned} a &= \frac{F}{m} \\ &= \frac{46\; {\rm N}}{59\; {\rm kg}} && \genfrac{}{}{0}{}{(\text{due west})}{} \\ &\approx 0.78\; {\rm m\cdot s^{-2}} && (\text{due west})\end{aligned}[/tex].


Related Questions

which of the following travels the fastest​

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All move at the same speed.

Explanation:

Electronic magnetic spectrum includes radio waves, micro waves, infra red, visible light, ultra violet, x-rays, gamma rays. These all electromagnetic waves travel at the same speed of light of about 300,000,000 m/s through vacuum. Though they have different wavelength, their speed is same.

can a person run at a speed of 20 meters per second

Answers

Answer:

No

Explanation:

The fastest recorded time for a person to run 100 metres is 9.58 seconds, which is the equivalent of 10.4 metres per second

Answer:

No

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Humans can run as fast as 19.3m/s, using their full possible energy.

What is the crosswind component for a landing on runway 18 if the tower reports the wind as 220° at 30 knots?

Answers

From the head wind component charts,  the crosswind component for a landing on runway 18 is 19 knots.

What is crosswind component?

When winds are not parallel to or directly with  the line of travel, the wind is said to have a crosswind component.

From the head wind component charts, at 220° at 30 knots, the corresponding crosswind component is 19 knots.

Thus, from the head wind component charts,  the crosswind component for a landing on runway 18 is 19 knots.

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What is a characteristic of a catamaran hull? tends to pitch in waves only recommended on calm inland waters planes at low speed a stable ride

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A Stable Ride is the main characteristic of a catamaran hull.

What is catamaran hull?

Catamaran Hull is a multi-hulled watercraft, which have two parallel hulls of equal size.

The characteristic of a catamaran hull are as follows:

A catamaran hull has less volume than an equal size monohull.Catamaran hulls are distinguished by lighter displacement and shallower draft when compared to monohulls of the same length. Catamarans can be used in shallow waters as well. This feature makes catamarans quite flexible and versatile.Catamaran has multiple hulls, usually two parallel hulls of equal size. This geometric feature gives the craft an increased stability.Catamarans derives extra stability from its wide beam, in the place of a ballasted keel employed in a regular monohull sailboat.

Therefore, Catamarans has a stable ride, according to their characteristic.

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Find the momentum of a body of mass 5kg moving with velocity of 4.5m/s

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Momentum= mass × velocity

momentum= P

P= m×v

P= 5×4.5

P=22.5

I hope this helps.

what is true about solar system densities

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The statement that is true about solar system densities is The denser planets lie closer to the Sun while the farther one planets from the sun have lower densities.

What is solar system?

Solar system comprises of the the planets, moon, stars, comets , smaller bodies and how they orbit around the sun.

Therefore, The statement that is true about solar system densities is The denser planets lie closer to the Sun.

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two examples of hydraulic brake​

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Answer:

1). Brake pedal or lever

2). A pushrod also called an actuating rod

1) Two students are making their way to school. One has a bike and the other
is on foot. If the student on foot is going at a speed of 3 m/s and they make
it to school in 30 s, how far away was the school?

Answers

To find how far away the school is:

3m/s * 30 s = 90m

Hope it helps!

If you separate vector B into its components. How many components will it have? Those components will be called?

Answers

The vector B will have two components and those components will be called resultant vectors.

What is a component vector?

A component vector is a unit vector that represents a given vector in a particular direction.

A vector can be represented in x - direction and y - direction.

x - component of the vector = Bcosθy - component of the vector = Bsinθ

Thus, the vector B will have two components and those components will be called resultant vectors.

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A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.

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Answer:

Higher mass or higher speed

Explanation:

Higher mass will require more force

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The speed of sound in wood is 3300 m s−1 and the speed of sound in air is 330 m s−1. A hammer hits one end of a 33 m long plank of wood. Find the difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air.

Answers

The difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air will be 0.09 sec.

What is a sound wave?

A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.

Given data;

The speed of sound in wood,u= 3300 m/s

The speed of sound in air,v=330 m/sec

long plank of wood, L=33 m

The time period in the air was found as;

T₁ = 33 m / 330 m/sec

T₁= 0.1 sec

The time period in wood ;

T₂= 33 m / 3300 m/sec

T₂=0.01 sec

T = T₁ - T₂

T=0.1-0.01

T=0.09 sec

Hence, the difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air will be 0.09 sec.

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which group on the periodic table wants to gain 2 electrons?

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Answer:

Periodic

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The groups in the periodic table that want to gain electrons are groups; 15, 16 and 17. The members of these groups are mostly nonmetals.

What concurrent motion at the glenohumeral joint should occur with shoulder abduction?

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Glenohumeral external rotation is the concurrent motion at the glenohumeral joint which occurs with shoulder abduction.

What is Shoulder abduction?

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A car is moving with constant velocity of 30m/s what is it's acceleration in 10s ​

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Answer:

0 m/s²

Explanation:

Acceleration is defined as the rate of change of velocity:

[tex]acceleration = \frac{change \space\ in \space\ velocity}{time taken}[/tex] .

As the velocity is constant, change in velocity = 0.

∴ acceleration = 0/ 10

                        = 0 m/s²

What do you need to add to vector A to get zero as a result?

Answers

To get zero as a resultant of vector A, we need to add another vector that has the same magnitude and different direction to vector A.

What are vectors?

Vectors are those quantities that has both magnitude and direction.

The result or resultant of two vectors is the single value obtained when two vectors are combined.

For a vector to have a resultant of zero, the vector need to be added to another vector of the same magnitude and different direction.

From the above,

To get zero as a resultant of vector A, we need to add another vector that has the same magnitude and different direction to vector A.

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Trivia Time!! At what velocity does light move?

Answers

Explanation:

Light Light from a moving source travels at 300,000 km/sec (186,000 miles/sec).

Note:

The Speed of Light Is Constant.

Explanation:

LIGHT TRAVELS AT A CONSTANT VELOCITY OF 300,000 km/sec.

the mechanical advantage of a simple machine is 3 and its velocity ratio is 4 find its efficiency ​

Answers

Answer:

75%

Explanation:

Efficiency=MA/VR*100

=3/4*100

=0.75*100

=75%

How much thermal energy does it take to raise the temperature of 4.5kg of water for 12C to 97C the specific heat of water is 1.68kj

Answers

Answer:

The amount of thermal energy needed is 626.6 J

Explanation:

When a certain amount of heat energy Q is supplied to a substance, the temperature of the substance increases according to the equation

where m is the mass of the substance is the specific heat capacity of the substance is the change in temperature

Answer:

642.6 kJ

Explanation:

Using the formula for heat energy required:

[tex]Q = mc \Delta T[/tex] ,

where:

C   → specific heat capacity  =  1.68 kJ/kg°C

Q   → heat energy required  =  ?

m   → mass of the object  =  4.5 kg

ΔT → change in temperature  =  97°C - 12°C  =  85°C,

Q = 4.5  x  1.68  x  85

   = 642.6 kJ

Tatenda is making tea and
toast. He uses an 800W
toaster for 2.5 minutes and
a 2kW kettle for 5 minutes.
What is the total cost for
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electricity costs 10p per
unit?

Answers

The total cost for the energy used if electricity costs 10p per unit is determined as 2p.

Total energy consumed

The total energy consumed during the process is calculated as follows;

E = Pt

where;

P is power (kW)t is time (hr)

E = (800 W/1000) x (2.5 /60)   + (2 kW) x (5/60)

E = 0.8 kW x 0.042 hr     +    2kW x 0.083 hr

E = 0.0336 kW-hr  +  0.166 kW-hr

E = 0.1996 kW-hr

Cost of the energy consumption

C = E x 10p

C = 0.1996 kW-hr x 10p

C = 1.996p

C ≈ 2p

Thus, the total cost for the energy used if electricity costs 10p per unit is determined as 2p.

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Use wave equation calculate the speed of sound in the air if frequency of 110 hz has a wave length of 3 m

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Answer = 330 m/s

The wave equation is as follows:

Wave speed = wavelength x frequency

The known values are:
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Frequency = 110 Hz

Substitute the known values into the wave equation to find the wave speed.

Wave speed = 3 x 110

Wave speed = 330 m/s

A crate hangs from a ring at the middle of a rope, as the drawing illustrates. a person is pulling on the right end of the rope to keep the crate in equilibrium. can the rope ever be made to be perfectly horizontal

Answers

Answer:

No

Explanation:

In order for the rope to be perfectly horizontal, there must be a vertical component in tension

what will be the effect on the weight of displaced water if the load is added into the ship floating in the ocean?write with reason.​

Answers

Answer:

the weight of displaced liquid is equal to the submerged part of ship. so on adding more weight to ship net buyoncy acting on ship increases and more the ship sinks in sea thus weight of displaced liquid increases.

Explanation:

Which moon shows evidence of rainfall and erosion by some liquid substance?.

Answers

Answer:

Titan.It is the largest moon of Saturn

Even though it's not very popular these days, I like our system . Getting together to talk about who the best candidate might be makes me feel like we're really part of democracy. After the debate, we vote. In my state, any voter can participate. It's all pretty informal. What system for selecting party nominees does the passage describe? . Mixed primary B. Caucus C. Open primary . Closed primary

Answers

Answer:

I think it would be C: open primary

Explanation:

A downward force of magnitude 5 n is exerted on the book by the force of.

Answers

Answer:

A downward force of magnitude 5 N is exerted on the book by the force of ... Do the downward force in Part A (gravity) and the upward force in Part B ...

which of the following travels the fastest​

Answers

Answer:

All move at the same speed

Explanation:

because they are all waves of the electromagnetic spectrum and they all travel at the speed of light

(300 000 km/s)

A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m, what speed must it have initially to reach the hole?

it's grade 11 physics, so the more equations the better, thanks :d

Answers

The speed the golf must have initially to reach the hole is 31.32`1 m/s.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m.

The angle with which the ball flies,

tan θ = 25 m/ (50m/2)

tan θ =1

θ  =45°

If u is the initial speed, the maximum height of the ball is

H = u² sin²θ / 2g

Put the values, we get

25 =  u² sin²45 / (2x9.81)

u = 31.321 m/s

Thus, the initial speed is 31.321 m/s

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5. Calculate the area if the force is 368N and the pressure is 28Pa..

Answers

The area would be 13.1429 Meter².

Answer:

[tex]\boxed {Area = 13.14 m^{2}}[/tex]

Explanation:

Formula applied :

[tex]\boxed {Area = \frac{Pressure}{Force}}[/tex]

Given :

Force = 368 NPressure = 28 Pa

Solving :

Area = 368/28Area = 92/7Area = 13.14 m² (approx.)

one of the rare galaxies that is isolated in space is likely to be a(n) ____.

Answers

The rarest type of galaxies is the elliptical double-ringed galaxy.

What is the rarest type of galaxy?

elliptical double-ringed galaxy is considered as the rarest type of galaxy because of its small number. The example of such type of galaxy is PGC 1000714. Scientists suggest that about 0.1% of galaxies are of this type.

So we can conclude that the rarest type of galaxies is the elliptical double-ringed galaxy.

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you plan to use a slingshot to launch a ball that has a mass of 0.025kg

Answers

From the calculations, the force required is 0.437 N.

What is force?

The term force is defined a the product of mass and acceleration. The force is required to move the sling the required distance.

If mass = 0.019 kg and acceleration =  23 m/s2 then we know that F = ma

It then follows that the required force is;

F = 0.019 kg  *  23 m/s2= 0.437 N

Missing parts

You plan to use a slingshot to launch a ball that has a mass of 0.019 kg. You want the ball to accelerate straight toward your target at 23 m/s2. How much force do you need to apply to the ball?

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