You and some friends visit the Florida State Fair and decide to play a game. To play the game you must slide a metal hockey-type puck up a wooden ramp so that it drops through a hole at the top of the ramp. Your prize, if you win, is a large, stuffed gorilla. You realize the secret to winning is giving the puck just enough velocity at the bottom of the ramp to make it to the hole. You estimate the distance from the bottom of the ramp to the hole at about 3 m, and the ramp appears to be inclined with an angle of 10o from the horizontal. You just got out of physics class and recall the coefficient of static friction between steel and wood is 0.1 and the coefficient of kinetic friction between steel and wood is 0.08. The mass of the puck is about 1 kg. You decide to impress your friends by sliding the puck at the precise speed on the first try so as to land it in the hole. You slide the puck at 2.0 m/sec. Do you win the stuffed poodle? Let g = 10 m/s2. Note: A slightly too hard throw will win since your aim is so good the puck would drop in the hole.

Answers

Answer 1

Answer:

No you didn't win the stuffed poodle

Explanation:

From the question we are told that

    The distance of the ramp to the hole is  d =  3 m \

     The angle of inclination is  [tex]\theta  =  10^o[/tex]

       The coefficient of static friction is [tex]\mu_s = 0.1[/tex]

     The coefficient of kinetic  friction is [tex]\mu_k = 0.08[/tex]

      The mass of the puck is  m  =  1 kg

     The velocity of the first slide  is  [tex]v_1  =  2.0 m/s[/tex]

       

Generally the kinetic energy at the bottom of the ramp  is equal the energy loss due to friction and this can be mathematically represented as

    [tex]\frac{1}{2} m *  v^  2 =  \mu_k * [m *  g] *  cos (theta )  *  d[/tex]

=>     [tex]\frac{1}{2}  *  v^  2 = 0.08 * 9.8 *  cos (10 )  *  3[/tex]

=>     [tex] v=  2.17 \  m/s [/tex]

Comparing the relative velocity obtained and the velocity of your first throw we can see that you didn't win the stuffed animal  


Related Questions

why the bodies of water important for recreation​

Answers

Explanation:

Recreational water activities can have substantial benefits to health and well-being. Swimming pools, beaches, lakes, rivers and spas provide environments for rest and relaxation, physical activity, exercise, pleasure and fun. Yet they also present risks to health.

pls make it the brainliest of it has helped you !!!!

Because the ice caps are running out of water

A car drives 20 miles north and then 3 miles south. What is the displacement
of the car?
A. 23 miles north
B. 23 miles
C. 17 miles north
D. 17 miles

Answers

Pretty sure it’s c because you would just subtract the 3 miles from the 20

A 66-N ⋅ m torque acts on a wheel with a moment of inertia 175 kg ⋅ m2. If the wheel starts from rest, how long will it take the wheel to make one revolution?

Answers

Answer:

t = 5.77 s

Explanation:

This exercise will use Newton's second law for rotational motion

            τ = I α

             α = τ / I

             α = 66/175

             α = 0.3771   rad/s²

now we can use the rotational kinematics relations, remember that all angles must be in radians

 

            θ = 1 rev = 2π radians

               

            θ = w₀ t + ½ α t²

as the wheel starts from rest w₀ = 0

             t = √ (2θ/α)

let's calculate

             t = √ (2 2π / 0.3771)

             t = 5.77 s

the amplitude of a wave is

Answers

Answer:

The amplitude of a wave is a measure of the displacement of the wave from its rest position. The amplitude is shown on the graph below. Amplitude is generally calculated by looking on a graph of a wave and measuring the height of the wave from the resting position. The amplitude is a measure of the strength or intensity of the wave.

Explanation:

Hope this helps! <3

What are two different ways that resistors can be connected together in a circuit? Explain the difference between the two in terms of calculating equivalent resistance.

Answers

Explanation:

Resistors in circuits can either be connected in series or in parallel.

For a series connected resistors, the same current flows through the resistors while different voltages is passed across them. The formula for calculating effective resistances in a circuit is expressed as

[tex]R_T = R_1+R_2+R_3...+R_n[/tex] where R1, R2, R3 etc. are the resistances connected in series.

The effective resistances for series connected resistors is the sum of the individual resistors

For a parallel connected resistors, different current flows through the resistors while same voltage is passed across them. The formula for calculating effective resistances in a circuit is expressed as:

[tex]\frac{1}{R_T} = \frac{1}{R_1} +\frac{1}{R_2} +\frac{1}{R_3} +...\frac{1}{R_n}[/tex]

The effective resistances for parallel connected resistors is the sum of the reciprocal of the individual resistors

What can reduce the flow of heat

Answers

Answer:

To minimize heat flow through a layer of material by conduction, choose the right material, make the layer as thick as possible, and make the surface area as small as possible. Clothing intended to reduce heat flow should use low-thermal conductivity materials.

A ball is thrown upward from the ground with an initial speed of 20.6 m/s; at the same instant, another ball is dropped from a building 14 m high. After how long will the balls be at the same height above the ground?

Answers

Answer:

t= 0.68 s

Explanation:

Neglecting air resistance, both balls are only under the influence of gravity, so we can use the kinematic equation for vertical displacement for both balls.First of all, we define two perpendicular axes, coincidently with horizontal and vertical directions, that we denote as x-axis and y-axis respectively.Assuming that the upward direction is the positive one, g must be negative as it always points downward.Taking the ground as our zero reference for the vertical axis (y axis), the equation for the ball thrown upward can be written as follows:

        [tex]y = v_{o}* t -\frac{1}{2} * g * t^{2} (1)[/tex]

As the second ball is dropped, its initial velocity is 0. Taking the height of the building as the initial vertical position (y₀), we can write the equation for the vertical displacement as follows:

        [tex]y = y_{o} - \frac{1}2}*g*t^{2} (2)[/tex]

As the left sides of  (1) and (2) are equal each other (the height  of both balls above the ground must be the same), the time must be the same also.We can rearrange (2) as follows:

        [tex]y -y_{o} = -\frac{1}{2}*g* t^{2} (3)[/tex]

Replacing the right side of (3) in (1), we get:

       [tex]y = v_{o}*t + (y- y_{o})[/tex]

       ⇒ [tex]t =\frac{y_{o} }{v_{o} } =\frac{14 m}{20.6 m/s} = 0.68 s[/tex]

       ⇒ t = 0.68s

Electromagnetic waves produced by the sun travel through space to Earth. What is this method of energy transfer called?

Answers

Answer:

Radiation

Explanation:

This is an example of radiation.

In a double-slit arrangement the slits are separated by a distance equal to 120 times the wavelength of the light passing through the slits. (a) What is the angular separation between the central maximum and an adjacent maximum

Answers

In a double-slit arrangement the slits are separated by a distance equal to 120 times the wavelength of the light passing through the slits. (a) What is the angular separation between the central maximum and an adjacent maximum(b) What is the distance between these maxima on a screen 5.79m from the slits?

Answer:

a

[tex]\theta  =  0.476 ^ o[/tex]

b

[tex]y =  0.0481 \ m [/tex]

Explanation:

From the question we are told that

   The  slit separation is  [tex]d =  120 \lambda[/tex]

Here [tex]\lambda[/tex] is the wavelength of the light

   Generally the condition for constructive interference is  mathematically represented as

      [tex]dsin (\theta) =  m *  \lambda[/tex]

=>    [tex]\theta  =  sin^{-1} [\frac{n *  \lambda}{ d } ][/tex]

=>     [tex]\theta  =  sin^{-1} [\frac{n *  \lambda}{  120 \lambda } ][/tex]

Here n is the order of maxima which is  1 given that we are considering the central maximum and an adjacent maximum

So  

        [tex]\theta  =  sin^{-1} [\frac{1}{  120} ][/tex]

=>     [tex]\theta  =  0.476 ^ o[/tex]

Generally given that the distance of the screen is  D =  5.79 m from the slit then the distance between these maxima is mathematically represented as

        [tex]y = D tan (\theta )[/tex]

=>      [tex]y = 5.79 *  tan (0.476)[/tex]

=>      [tex]y =  0.0481 \ m [/tex]

1 poir
A track star in the long jump goes into the jump at 15 m/s and launches
herself at 17.0° above the horizontal.How long is she in the air before
returning to Earth? (g = 9.81 m/s2) (do not include units in answer) *
Helppp now

Answers

Her vertical velocity at take off = 15 Sin (17).
V= u + at = (15 Sin (17)) - 9.8 t
9.8 t = (15 Sin (17))
t = (15 Sin (17)) / 9.8
That is the time to get to the highest point.
It takes the same time to return from the highest point back to the ground.

Two resistors, A and B, are connected in a series circuit with a battery. The resistance of A is twice that of B. Which resistor dissipates more power

Answers

Answer:

A dissipates more power.

Explanation:

In a series circuit, the current is the same at any point in it.The power dissipated in any resistor follows Joule's law, as follows:

        [tex]P = I^{2} * R[/tex]

So, for a given current, the power is directly proportional to the resistance of the resistor.In this case, as resistor A has twice the resistance of resistor B, A dissipates twice more power than B.

What determines the paths of electrons around a nucleus?

a. the fundamental quantum of energy

b. interaction with other atoms

c magnetism

d. the number of neutrons in the nucleus

Answers

Answer:

* positive repulsion, which makes the electrons move as far away as possible

* Attraction with the core atomizes

he analysis is the foundations of quantum theorizing

Explanation:

Electrons are deposited in an atom following two principles.

* positive repulsion, which makes the electrons move as far away as possible

* Attraction with the core atomizes

The mathematical model used for the analysis is the foundations of quantum theorizing

Peter rides his bike 5 blocks north and then 10 blocks east. What is his displacement? What is his total distance traveled?

Answers

Answer:

5 blocks east. His total distance is 15 feet.

Explanation:

I hope that this helps! Have a good day!

The name for this type of energy is
A.potential energy
B.motion
C.position
D.kinetic energy​

Answers

Explanation:

[tex]kinetic \: energy \: is \: the \: energy \: of \: a \: body \: in \: motion. \\ that \: is \: energy \: of \: a \: body \: that \: is \: moving.\\ while \\ potential \: energy \: is \: the \: energy \: of \: a \: body \: by \: the \: virtue \: of \: its \: position \: \\ that \: is \: energy \: of \: a \: body \: that \: is \: not \: moving.[/tex]

♨Rage♨

Check all the answers that apply.
Energy is the ability to:

⚫️ Change direction

⚫️ Change speed

⚫️Change temperature

⚫️Do work

Answers

Energy is the ability to: ⚫️Do work

mark me brainiest pls

Suppose that your favorite AM radio station broadcasts at a frequency of 1600 kHz. What is the wavelength in meters of the radiation from the station

Answers

Answer:

187.5

Explanation:

convert 4.5 hour into second​

Answers

Answer:

4.5 hours =

16200 seconds

Explanation:

here you go

m_Cu * sh_CuA system consists of a copper tank whose mass is 13 kilogram , 4 kilogram of liquid water, and an electrical resistor of negligible mass. The system is insulated on its outer surface. Initially, the temperature of the copper is 27 degC and the temperature of the water is 50 degC . The electrical resistor transfers 100 kilojoule to the system. Eventually the system comes to equilibrium. Determine the final equilibrium temperature, in ∘C.

Answers

Answer:

T₂ = 49.3°C

Explanation:

Applying law of conservation of energy to the system we get the following equation:

Energy Supplied by Resistor = Energy Absorbed by Tank + Energy Absorbed by Water

E = mC(T₂ - T₁) + m'C'(T'₂ - T'₁)

where,

E = Energy Supplied by Resistor = 100 KJ = 100000 J

m = mass of copper tank = 13 kg

C = Specific Heat of Copper = 385 J/kg.°C

T₂ = Final Temperature of Copper Tank

T₁ = Initial Temperature of Copper Tank = 27°C

T'₂ = Final Temperature of Water

T'₁ = Initial Temperature of Water = 50°C

m' = Mass of Water = 4 kg

C' = Specific Heat of Water = 4179.6 K/kg.°C

Since, the system will come to equilibrium finally. Therefor:  T'₂ = T₂

Therefore,

(100000 J) = (13 kg)(385 J/kg.°C)(T₂ - 27°C) + (4 kg)(4179.6 J/kg.°C)(T₂ - 50°C)

100000 J = (5005 J/°C)T₂ - 135135 J + (16718.4 J/°C)T₂ - 835920 J

100000 J + 135135 J + 835920 J = (21723.4 J/°C)T₂

(1071055 J)/(21723.4 J/°C) = T₂

T₂ = 49.3°C

If the speed of a car is increased by 75%, by what factor will its minimum braking distance be increased, assuming all else is the same

Answers

Answer:

breaking distance will increase by a factor 3.0625

Explanation:

From Newton's equation of motion, we can say that;

v² = u² + 2as

Where initial velocity is zero, we have;

v² = 2as

s = v²/2a

Where s is the distance and v is the final speed.

We will assume the deceleration(negative acceleration) is the same value,

Now, we see that the distance is directly proportional to the square of the velocity.

Now, 75% increase in speed means it has increased by a factor of 1.75

Thus means;

1.75²v² is directly proportional to the 1.75²d

Distance =

1.75²v² = 3.0625d

Thus, breaking distance will increase by a factor 3.0625

If a car is traveling at an average speed of 70 kilometers per hour how long does it take the car to travel 14 kilometers

Answers

Answer:

Explanation:

O.20 hour A

If a car is traveling at an average speed of 70 kilometers per hour, 0.2 hours it takes the car to travel 14 kilometers.

What is average speed?

By multiplying the distance that an item travels in one unit by the amount of time it takes to go that distance, one may determine the speed of the object. The speed of the item on this voyage, denoted by the letter "s," is equal to s = D/T if "D" is indeed the distance traveled in certain time "T."

Understanding average speed will help you better comprehend the pace of a travel. On a travel, the pace could occasionally change. Knowing the average speed then becomes crucial to getting an idea of how quickly the route will be finished.

Distance covered = average speed × Time travelled

14=70× Time travelled

Time travelled = 0.2 hours

Therefore, 0.2 hours it takes the car to travel 14 kilometers.

To know more about average speed, here:

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Apply the general results obtained in the full analysis of motion under the influence of a constant force in Section 2.5 to answer the following questions. You hold a small metal ball of mass a height above the floor. You let go, and the ball falls to the floor. Choose the origin of the coordinate system to be on the floor where the ball hits, with up as usual. Express all results in terms of , , and . Just after release, what are and

Answers

Answer:

y(i) = h

v(y.i) = 0

Explanation:

See attachment for elaboration

A 100 kg man climbs the stairs at a football stadium 50 m tall in 45 s. What was the man's required power output?

Answers

.Answer:

1111.11 W

Explanation:

Power is the rate of doing work with respect to time, its S.I unit is in watts but it can also be expressed in J/s. Power is calculated using the formula:

[tex]Power=\frac{energy}{time}[/tex]

Power is also the rate at which energy is used per second.

Given that mass (m) = 100 kg, height (h) = 50 m, acceleration due to gravity (g) = 10 m/s and time = 45 s.

The man climb the stairs and experiences a potential energy, hence:

potential energy = mgh = 100 * 10 *50 = 50000 J,

[tex]Power=\frac{energy}{time}=\frac{50000}{45}=1111.11\ W[/tex]

A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration).
a. 1.62*105 m/s2.b. 1000 m/s2.c. 0.62*105 m/s2.d. 3.62*105 m/s2.

Answers

Answer:

A. 1.62×10⁵m/s²

Explanation:

Given

velocity of the bullet = 521m/s

distance = 0.840m

required

acceleration of the bullet a

Using the equation of motion:

v² = u²+2aS where:

v is the final velocity

u is the initial velocity

a is the acceleration

S is the distance

Substitute the given parameters into the equation to get a:

521² = 0²+2a(0.840)

271,441 = 0+1.68a

271,441 = 1.68a

a = 271,441/1.68

a = 161,572.02

a = 1.62×10⁵m/s²

Hence the acceleration of the bullet is 1.62×10⁵m/s²

2. An archer shoots an arrow. The action force is the bowstring against the arrow, The reaction force is...
a. Air resistance against the bow
b. Arrow's push against the bowstring
c. Grip of the archer's hand on the bow

Answers

Answer:b the arrows push against the bow string

Explanation:

The reaction force will be  Arrow's push against the bowstring.

Option b is correct.

From Newton's Third Law of  Action & Reaction, It  states that for every action  in nature there is an equal and opposite reaction.

It means that  If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A.

Therefore, If an  archer shoots an arrow. The action force is the bowstring against the arrow, The reaction force will be  Arrow's push against the bowstring

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Suppose a star the size of our Sun, but with mass 9.0 times as great, were rotating at a speed of 1.0 revolution every 7.0 days. If it were to undergo gravitational collapse to a neutron star of radius 13 km , losing three-quarters of its mass in the process, what would its rotation speed be

Answers

Answer:

Its rotation will be 3.89x10⁴ rad/s.

Explanation:

We can find the rotation speed by conservation of the angular momentum:

[tex] L_{i} = L_{f} [/tex]

[tex] I_{i}\omega_{i} = I_{f}\omega_{f} [/tex]   (1)

The initial angular speed is:

[tex] \omega_{i} = \frac{1 rev}{7 d} = 0.14 \frac{rev}{d} [/tex]

The moment of inertia (I) of a sphere is:

[tex] I = \frac{2}{5}mr^{2} [/tex]    (2)

Where m is 9 times the sun's mass and r is the sun's radius

By entering equation (2) into (1) we have:

[tex] \frac{2}{5}m_{i}r_{i}^{2}\omega_{i} = \frac{2}{5}m_{f}r_{f}^{2}\omega_{f} [/tex]

[tex]9m_{sun}(696342 km)^{2}0.14\frac{rev}{d} = \frac{3}{4}9m_{sun}(13 km)^{2}\omega_{f}[/tex]

[tex]\omega_{f} = \frac{4}{3}*0.14 \frac{rev}{d}(\frac{696342 km}{13 km})^{2} = 5.36 \cdot 10^{8} \frac{rev}{d}*\frac{1 d}{24 h}*\frac{1 h}{3600 s}*\frac{2\pi rad}{1 rev} = 3.89 \cdot 10^{4} rad/s[/tex]          

Hence, its rotation will be 3.89x10⁴ rad/s.

I hope it helps you!                                                        

1 (4 points) A 2-kg ball is moving with a constant speed of 5 m/s in a horizontal circle whose radius is 50 cm. What is the magnitude of the net force on the ball

Answers

Answer:

100 N

Explanation:

The following data were obtained from the question:

Mass (m) = 2 Kg

Velocity (v) = 5 m/s

Radius (r) = 50 cm

Force (F) =.?

Next, we shall convert 50 cm to metre (m). This can be obtained as follow:

100 cm = 1 m

Therefore,

50 cm = 50 cm × 1 m / 100 cm

50 cm = 0.5 m

Therefore, 50 cm is equivalent to 0.5 m.

Finally, we shall determine the magnitude of the net force on the ball by using the following formula:

F = mv²/r

Mass (m) = 2 Kg

Velocity (v) = 5 m/s

Radius (r) = 0.5 m

Force (F) =.?

F = mv²/r

F = 2 × 5²/ 0.5

F = 2 × 25/ 0.5

F = 50 / 0.5

F = 100 N

Therefore, the magnitude of the net force on the ball is 100 N.

The magnitude of the net force on the ball will be "100 N".

Force and speed

According to the question,

Mass, m = 2 kg

Velocity, v = 5 m/s

Radius, r = 50 cm or,

               = 50 × [tex]\frac{1}{100}[/tex]

               = 0.5 m

We know the relation,

Force, F = [tex]\frac{mv^2}{r}[/tex]

By substituting the values, we get

              = [tex]\frac{2\times (25)^2}{0.5}[/tex]

              = [tex]\frac{2\times 25}{0.5}[/tex]

              = [tex]\frac{50}{0.5}[/tex]

              = 100 N

Thus the above response is appropriate.

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What is the speed of a wave that has a frequency of 2,400 Hz and a wavelength of 0.75

Answers

Answer:

1800 m/s

Explanation:

The equation is v = fλ

λ= 0.75

f = 2400 Hz

V = 2400 × 0.75

V = 1800 m/s

[ you did not give units for wavelength, I assumed it would be m/s]

In her hand, a softball pitcher swings a ball of mass 0.245 kg around a vertical circular path of radius 59.8 cm before releasing it from her hand. The pitcher maintains a component of force on the ball of constant magnitude 30.9 N in the direction of motion around the complete path. The speed of the ball at the top of the circle is 16.0 m/s. If she releases the ball at the bottom of the circle, what is its speed upon release?

Answers

Answer:

The velocity is [tex]v_b = 20.17 \ m/s[/tex]

Explanation:

From the question we are told that

   The mass of the ball is  [tex]m = 0.245 \ kg[/tex]

   The radius is  [tex]r =  59.8 \  cm  =  0.598 \ m[/tex]

   The force is  [tex]F =  30.9 \ N[/tex]

   The speed of the ball is  [tex]v = 16.0 \ m/s.[/tex]

Generally the kinetic energy at the top of the circle is mathematically represented as

    [tex]K_t  =  \frac{1}{2} *  m  *  v^2[/tex]

=> [tex]K_t  =  \frac{1}{2} *  0.245   *  16.0 ^2[/tex]  

=> [tex]K_t  =  31.36 \ J[/tex]  

Generally the work done by the force applied on the ball from the top to the bottom  is mathematically represented as

       [tex]W =  F *  d[/tex]

Here  d is the length of  a semi - circular arc which is mathematically represented as

       [tex]d =  \pi * r[/tex]

So

      [tex]W =  30.9 *  0.598  [/tex]

      [tex]W = 18.48 \ J [/tex]

Generally the kinetic energy at the bottom is mathematically represented as

      [tex]K_b  =  \frac{1}{2} *  m *  v_b^2[/tex]

=>    [tex]K_b  =  \frac{1}{2} *  0.245  *  v_b^2[/tex]

=>   [tex]K_b  =  0.1225  *  v_b^2[/tex]

From the law of energy conservation

     [tex]K_t +  W  =K_b[/tex]

=>    [tex]31.36+  18.48 = 0.1225  *  v_b^2[/tex]

=>    [tex]v_b = 20.17 \ m/s[/tex]

How did the Mayflower Compact influence colonists’ views on government?

Answers

Answer:

It demonstrated that the colonists were capable of local, self-government.  

Explanation:

this is the correct answer because i have already done this

The volume of a cube is found by multiplying length times

width times height. If an object has a volume of 1.44 m?,

what is the volume in cubic centimeters? Remember to mul-

tiply each side by the conversion factor.

Answers

Answer:

The volume in cubic centimeters is 1,440,000

Explanation:

You know that an object has a volume of 1.44 m³  and you want to calculate the volume in cubic centimeters cm³.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So, [tex]x=\frac{c*b}{a}[/tex]

Since 1 m³ is equal to 1,000,000 cm³ ( this is the conversion factor) , then you can apply the following rule of three: if 1 m³ is equal to 1,000,000 cm³, 1.44 m³ is equal to how many cm³?

[tex]cm^{3} =\frac{1.44m^{3}*1,000,000 cm^{3} }{1m^{3} }[/tex]

cm³=1,440,000

The volume in cubic centimeters is 1,440,000

Other Questions
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