A hockey player whacks a 162-g puck with her stick, applying a 171-N force that accelerates it to 42.3 m/s. A. If the puck was initially at rest, for how much time did the acceleration last? B. The puck then hits the curved corner boards, which exert a 151-N force on the puck to keep it in its circular path. What’s the radius of the curve?

Answers

Answer 1

Given parameters:

Mass of puck = 162g  = 0.162kg (1000g = 1kg)

Force exerted on puck = 171N

Final velocity  = 42.3m/s

Unknown

A.  time of the acceleration

B. radius of the curve?

Solution:

A. time of the acceleration

the initial velocity of the puck = 0m/s

    We know that;

              Force  = mass x acceleration

      Acceleration  = [tex]\frac{Final velocity - Initial velocity}{time taken}[/tex]

       Acceleration  = [tex]\frac{42.3 - 0}{t}[/tex]

  So force  = mass x [tex]\frac{42.3 }{t}[/tex]

 Input the parameters and solve for time;

             171 = 0.162 x [tex]\frac{42.3 }{t}[/tex]

             171 = [tex]\frac{6.85}{t}[/tex]  

                 t = [tex]\frac{6.85}{171}[/tex]   = 0.04s

The time of acceleration is 0.04s

B. radius of the curve;

      to solve this, we apply the centripetal force formula;

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

  where;

      F is the centripetal force

     m is the mass

      v is the velocity

      r is the radius

               Since the force exerted on the puck is 151;

      input the parameters and solve for r²;

             151 = [tex]\frac{0.162 x 42.3^{2} }{r}[/tex]

               151r  = 0.162 x 42.3²

                r  = 1.92m

The radius of the circular curve is 1.92m


Related Questions

Why is it important for scientists to find better ways to store solar and wind energy?

Answers

Answer:

Energy storage plays an important role in this balancing act and helps to create a more flexible and reliable grid system. For example, when there is more supply than demand, such as during the night when low-cost power plants continue to operate, the excess electricity generation can be used to power storage devices.

Explanation:

I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)

It important for scientists to find better ways to store solar and wind energy because solar and wind energy have variable outputs.

Lately, the world have begun to gradually gravitate away from non renewable energy sources such as fossil fuels and research efforts have been concentrated on renewable energy sources such as solar and wind energy.

However, the energy output from these sources are variable. Therefore, it is necessary to device ways to store energy from these sources in order to improve overall energy supply.

Learn more: https://brainly.com/question/17319210

1. Tectonic plates that move toward each other ...A Mantle
2. Layer with partially melted material that can flow easily _....B. Convergent
3. Tectonic plates that move away from each other C. Transform
4. Tectonic plates that slide past each other D. Divergent

Answers

Answer:

Its convergent

Explanation:

There areas where plates move toward each other and collide Also known as compressional pr destructive boundaries.

Newton
10. Your mass on Earth is 50kg. Planet Xenon has half the gravitational force of Earth. What
are your weight and mass on Planet Xenon?

Answers

Given parameters:

Mass on earth  = 50kg

Unknown:

Mass on planet Xenon = ?

Weight on planet Xenon = ?

Mass is the amount of matter contained in a particular substance.

Weight is the force on a body and it is derived from the product of mass and acceleration due to gravity.

         Weight  = mass x acceleration due to gravity

Planet Xenon has half the gravitational force of Earth.

 This translated gives [tex]\frac{9.8}{2}[/tex]   = 4.9m/s²

Now, mass is always the same every where if the amount of matter in a substance does not change.

In this problem, mass = 50kg on planet xenon.

Weight =  mass x acceleration due to gravity  = 50 x 4.9  = 245N

The weight on Xenon is 245N and the mass is 50kg

Please help in 5 mintues
A piece of chess game called master
a. king
b. queen
c. rook
d. bishop

Answers

Not sure I think it’s King
Sorry if I’m wrong
King is the answer!!!

What is magnetic poles always come in pair

Answers

Like poles repel and unlike poles attract. Magnetic poles always occur in pairs of north and south—it is not possible to isolate north and south poles.
because it just does my guy

Temperature is a measure of

Answers

Answer:

The average kinetic energy

The amount of heat a substance has or the average kinetic energy of particles in a substance

Picture a long, straight corridor running east-west, with a water fountain located somewhere along it. Starting from the west end of the corridor, a woman walks a short distance east along the corridor and stops before reaching the water fountain. The distance from her to the fountain is twice the distance she has walked. She then continues walking east, passes the water fountain, and stops 60 m from her first stop. Now the distance from her to the fountain is twice the distance from her to the east end of the corridor. How long is the corridor

Answers

Answer:

The corridor's distance is "90 m".

Explanation:

She heads in the east directions but creates the first pause, meaning she crosses the distance 'x' in step 1. Now, provided that perhaps the distance by her to another fountain or waterfall just after the first stop is twice as far away she traveled. Because she moved the distance of 'x,' then, therefore, her distance towards the fountain of '2x.' She casually strolls and once again pauses 60 m beyond her stop. The gap about her to the waterfall during that time approximately twice the distance and her to the eastern end of the hallway.Assume her gap from either the east end of the platform seems to be 'y' at either the second stop, after which '2y' may become the distance between the 2nd pause and the waterfall.

Now,

⇒  [tex]2x + 2y = 60[/tex]

⇒  [tex]x + y = 30[/tex]

The total distance of the corridor will be:

=  [tex]x + 2x + 2y + y[/tex]

=  [tex]3\times (x + y)[/tex]

=  [tex]3\times 30[/tex]

=  [tex]90 \ m[/tex]

How many atoms of each element are in 4Na3PO4?

A.) 3 sodium, 1 phosphorus, 4 oxygen
B.) 4 sodium, 4 phosphorus, 4 oxygen
C.) 12 sodium, 1 phosphorus, 4 oxygen
D.) 12 sodium, 4 phosphorus, 16 oxygen

Answers

D) 12 sodium, 4 phosphorus, 16 oxygen

sodium: 4Na3 -> 4 • 3 = 12

phosphorus: 4P - > 4

oxygen 4O4 -> 4 • 4 = 16

(the four is from the four in front of the whole formula)

Answer:

D) 12 sodium, 4 phosphorus. 16 oxygen

Explanation:

there is a four in front of the full formula, so you multiply all of the sub numbers by 4

Playing with a stress ball you squeeze it as
hard as you can. How does this affect the
density of the ball?

Answers

Answer:

it dies

Explanation:

MWUAHHAHAHHA

list of energy changes when hydroelectricity city is made​

Answers

Answer:

A turbine and generator produce the electricity

Explanation:

"A hydraulic turbine converts the energy of flowing water into mechanical energy. A hydroelectric generator converts this mechanical energy into electricity.

If a car moves at a velocity of 1.45 x102 m/s for 1.8 x103
seconds. How far does the car go?

Answers

Answer:

The answer is

[tex]2.61 \times {10}^{5} \: \: m[/tex]

Explanation:

The distance covered by an object given it's velocity and time taken can be found by using the formula

distance = velocity × time

From the question

velocity = 1.45 × 10² m/s

time = 1.8 × 10³ s

We have

distance = 1.45 × 10² × 1.8 × 10³

We have the final answer as

[tex]2.61 \times {10}^{5} \: \: m[/tex]

Hope this helps you

Help pls it’s urgent

Answers

The result wave Will have a greater amplitude than both waves

PLEASE HELP GIVING BRAINLIEST!!

Answers

Distance from one point of a wave to the other :)


Change in Energy Quick Check
1 of 5
Which change occurs as an object falls toward the surface of Earth? (1 point)
The force of gravity on the object decreases.
The potential energy of the object decreases.
The acceleration due to gravity decreases.
The kinetic energy of the object decreases
IF SOMEONE GETS THE ANSWERS TO 1-5 of quick check pls post them here

Answers

Answer:

The force of gravity on the object decreases.  (FALSE)

The potential energy of the object decreases.  (TRUE)

The acceleration due to gravity decreases.  (FALSE)

The kinetic energy of the object decrease (FALSE)

Explanation:

FORCE OF GRAVITY:

Force of gravity on the object is the weight of object, which depends upon the mass and value of acceleration due to gravity (W = mg). Since, the value mass is constant on Earth and acceleration due to gravity is also constant on earth.

Therefore, force of gravity remains same on the object. The statement is false.

POTENTIAL ENERGY:

Potential energy of object depends upon the mass, value of acceleration due to gravity, and change in height of object (P.E = mgΔh). Since, the value mass is constant on Earth and acceleration due to gravity increases as the object moves towards the surface of earth. But, the height of object is decreasing.

Therefore, potential energy of object decreases. The statement is true.

ACCELERATION DUE TO GRAVITY:

Acceleration due to gravity depends upon the altitude (gh = g[1 - 2h/Re]). Since, the height of object is decreasing.

Therefore, acceleration due to gravity increases. The statement is false.

But, this change is not significant.

KINETIC ENERGY:

Kinetic Energy of object, which depends upon the mass and velocity of the object (K.E = mv²/2). Since, the value mass is constant on Earth and velocity increases as the object moves towards the surface of earth.

Therefore, kinetic energy of the object also increases. The statement is false.

As the object falls towards the surface of the earth, the potential energy of the object decreases.

The earth is a large gravitational field. The potential energy of an object is dependent on its height. As a body falls through a height, its mass remains constant but its height decreases therefore its potential energy decreases also.

Hence, the true statement is that as the object falls towards the surface of the earth, the potential energy of the object decreases.

Learn more: https://brainly.com/question/21288807

A bowling ball of mass m = 1.7 kg drops from a height h = 14.2 m. A semi-circular tube of radius r = 6.2 m rest centered on a scale. Write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the variables in the problem statement.

Answers

Answer:

W_net = mg + 2mgh/r

Explanation:

The forces applied in this motion of the bowling ball are both gravitational and centripetal forces.

Now, gravitational force is; F_g = mg

While centripetal force is; F_c = mv²/r

Since we want to express the net force in terms of the variables in the statement and we are not given "v", let's find an expression of v with the variables given.

Now, from Newton's equation of motion, at initial velocity of 0, v² = 2gh.

Thus;

F_c = 2mgh/r

Where;

m is ball mass

r is tube radius

h is fall height

Thus, the net force will be;

F_net = F_g + F_c

Now, Net force would be equal to the net weight that will be read on the scale.

Thus;

W_net = F_net = F_g + F_c

W_net = mg + 2mgh/r

At its lowest point, the net force of the bowling ball is equal to its net weight and this is given by [tex]F_{net} = mg + \frac{2mgh}{r}[/tex]

Given the following data:

Mass, m = 1.7 kg.Height, h = 14.2 meters.Radius, r = 6.2 meters.

To write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the given variables:

The forces acting on the ball.

In this scenario, there are two (2) forces acting on the bowling ball and these include:

Centripetal forceGravitational force

Mathematically, centripetal force is given by this formula:

[tex]F_c = \frac{mv^2}{r}[/tex]     .....equation 1.

Mathematically, gravitational force is given by this formula:

[tex]F_g= mg[/tex]    ....equation 2.

Where:

m is the mass.g is the acceleration due to gravity.v is the velocity.

Next, we would derive an expression for the velocity of the ball by applying the Law of Conservation of energy:

[tex]P.E = K.E\\\\mgh = \frac{1}{2} mv^2\\\\V^2=2gh[/tex] .....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

[tex]F_c = \frac{m(2gh)}{r}\\\\F_c = \frac{2mgh}{r}[/tex]

At its lowest point, the net weight of the bowling ball is equal to its net force and this is given by this mathematical expression:

[tex]W_{net} = F_{net} = F_g + F_c\\\\F_{net} = mg + \frac{2mgh}{r}[/tex]

Read more on net force here: https://brainly.com/question/14361879

A block of mass 12.2 kg is sliding at an initial velocity of 6.65 m/s in the positive x-direction. The surface has a coefficient of kinetic friction of 0.253. (Indicate the direction with the signs of your answers.)
a.) What is the force of kinetic friction (in N) acting on the block?
(b What is the block's acceleration (in m/s2)?

(c) How far will it slide (in m) before coming to rest?

Answers

Explanation:

Given that,

Mass of the block, m = 12.2 kg

Initial velocity of the block, u = 6.65 m/s

The coefficient of kinetic friction, [tex]\mu_k=0.253[/tex]

(a)The force of kinetic friction is given by :

[tex]f=\mu_k mg[/tex]

mg is the normal force

So,

[tex]f=0.253\times 12.2\times 9.8\\\\f=30.24\ N[/tex]

(b) Net force acting on the block in the horizontal direction,

f = ma

a is the acceleration of the block

[tex]a=\dfrac{f}{m}\\\\a=\dfrac{30.24}{12.2}\\\\a=2.47\ m/s^2[/tex]

(c) Let d is the distance covered by the block before coming to the rest. Using third equation of motion as follows :

[tex]v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{-(6.65)^2}{2\times 2.47}\\\\d=-8.95\ m[/tex]

Hence, this is the required solution.

This question involves the concepts of the frictional force, Newton's second law of motion, and the equations of motion.

a) The force of kinetic friction acting on the block is "-30.28 N".

b) The acceleration of the block is "-2.48 m/s²".

c) The block will slide "8.9 m" before coming to rest.

a)

The kinetic friction force is given by the following formula:

[tex]F=\mu_k mg[/tex]

where,

F = frictional force = ?

[tex]\mu_k[/tex] = coefficient of kinetic friction = 0.253

m = mass of block = 12.2 kg

g = acceleration dueto gravity = 9.81 m/s²

Therefore,

[tex]F=(0.253)(12.2\ kg)(9.81\ m/s^2)[/tex]

F = - 30.28 N (negative sign due to resistive force)

b)

According to Newton's Second Law of Motion:

F = ma

[tex]a=\frac{F}{m} = \frac{-30.28\ N}{12.2\ kg}\\\\[/tex]

a = -2.48 m/s² (negative sign due to deceleration)

c)

Using the third equation of motion to calculate the distance:

[tex]2as=v_f^2-v_i^2[/tex]

where,

s = distance = ?

vf = final speed = 0 m/s

vi = initial speed = 6.65 m/s

Therefore,

[tex]2(-2.48\ m/s^2)s=(0\ m/s)^2-(6.65\ m/s)^2\\\\s=\frac{-(6.65\ m/s)^2}{2(-2.48\ m/s^2)}[/tex]

s = 8.9 m

Learn more about Newton's Second Law of Motion here:

brainly.com/question/13447525?referrer=searchResults

The attached picture shows Newton's Second Law of Motion.

Electrically neutral objects become___when they or lose electrons.

Answers

If they lose an electron, that means they become more positive since an electron is negatively charged. So the answer is ‘positive’

Answer: positively charged

Explanation: basically when a neutral atom gets some electrons it becomes negatively charged and when a neutral atom loses elections it's positively charged Ik science is weird lol.

I hope this was the answer you were looking for.

What is the net force required to give an automobile with a mass of 2,100 kg an acceleration of 5.4 m/s^2?

Answers

Answer:

Net force = 11340 N

Explanation:

Given that,

Mass of an automobile, m = 2100 kg

Acceleration of the automobile, a = 5.4 m/s²

We need to find the net force required for the automobile. The net force is the product of mass and acceleration. It can be given by the formula as follows :

[tex]F=ma\\\\F=2100\ kg\times 5.4\ m/s^2\\\\F=11340\ N[/tex]

So, the net force is 11340 N.

Based on what you learn about gravity describe why objects float in outer space

Answers

Answer:

Objects float in outer space because there is no gravitational force. The farther you get from earth, the less gravity.

Explanation:

Answer:

they float do to gravity

Explanation:

here if you tossed a ball in the air it would come back down fast in space however it would only float up and stay do to gravity

write .00000023 in scientific notation

Answers

Answer: 2.3 x 10^-7

Explanation:

When you move the decimal to the right, you decrease the exponent. So lets count how many spots you have to move the decimal spot to get an answer between 1 and 10. I counted seven spots.

So:

[tex]2.3 *10^-^7[/tex]

2.3 * 10 °−7

The degree indicates that the number is that small thing that floats above

1
A truck increases its speed from 15 m/s to 60 m/s in 15 s. Its acceleration is

Answers

Acceleration = (Vf - Vi)/t
Since Vf= 60m/s
Vi= 15m/s
T= 15s
=> a= (60m/s - 15m/s)/15s
= 3
So the acceleration is 3m/s^2

3. When two things are the same temperature:

A. They have the same number of molecules

B. Their molecules stop moving

C. Their molecules move at the same average speed

D. Heat transfer between the two things stops​

Answers

The answer is definitely C.) their molecules move at the same average speed

Answer: D.  Heat transfer between the two things stops​.

Help pls it’s urgent

Answers

Answer:

A

Explanation:

Refraction

refraction
explanation: refraction is the bending of light as it passes from one medium into another.


3 A stationary car accelerates uniformly
for 20 s. Its velocity reaches 80
km h-1. What is the acceleration of the
car during this period?-

A 1.11 ms-2
B 2.22 ms-2
C 4.00ms-2
D 22.2ms-2​

Answers

22.2ms-2 because it jsut is

Layer with partially melted material that can flow easily is

Answers

Answer:

the mantle.

Explanation:

The mantle is the mostly-solid bulk of Earth's interior. The mantle lies between Earth's dense, super-heated core and its thin outer layer, the crust. It's practically hot lava (Magma) Flowing and causing earthquakes and what not.

Hope this helps :)

______ is a disease in which the body does not produce or probory use inslin

Answers

Answer:

Diabetes

Explanation:

Insulin is an important hormone that helps the body convert sugar, starches, and other foods into energy.

how far will a body move in 4sec if uniformly accelerated from rest at the rate of 2m/s2​

Answers

Answer:

32m

Explanation:

v=u+at

v=0+2×4

v=8m/s

d=vt

d=8×4

d=32m

a driver travels 4.25 km in two minutes. if the driver's initial velocity is 20m/s, what is the acceleration

Answers

Recall the definition of average velocity:

average v = ∆x / ∆t

The driver moves a distance of ∆x = 4.25 km = 4250 m in 2 min = 120 s, so the average velocity is

average v = (4250 m) / (120 s) ≈ 35.4 m/s

Under constant acceleration, the average velocity can also be computed by taking the average of the initial and final velocities:

average v = (initial v + final v) / 2

Solve for (final v) :

35.4 m/s = (20 m/s + final v)/2

final v ≈ 50.83 m/s

Recall the definition of average acceleration:

average a = ∆v / ∆t

Solve for a :

a = (50.83 m/s - 20 m/s) / (120 s)

a ≈ 0.257 m/s²

A 12,000-N car is raised using a hydraulic lift, which consists of a U-tube with arms of unequal areas, filled with oil with a density of 800 kg/m3 and capped at both ends with tight-fitting pistons. The wider arm of the U-tube has a radius of 18.0 cm and the narrower arm has a radius of 5.00 cm. The car rests on the piston on the wider arm of the U-tube. The pistons are initially at the same level. What is the force that must be applied to the smaller piston in order to lift the car after it has been raised 1.20 m

Answers

Answer:

The answer is below

Explanation:

Pascal's law states that pressure is exerted in all parts of a static fluid equally.

The area of the narrower arm with a radius of 0.05 m (5 cm) is given as:

Area of narrow arm = π(0.05)²

The area of the wider arm with a radius of 0.18 m (18 cm) is given as:

Area of narrow arm = π(0.18)²

The ratio if the wider arm area to the narrow arm area = π(0.18)² / π(0.05)² = 12.96

To move the 12000 N car, the amount of force needed = 12000/12.96 = 926 N

When an object remains stationary, any forces acting on it must be balanced.

Choose 1 answer:

True
False

Answers

False because if it was even the force would just bounce off of the object
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Work individually to choose the correct pronouns and give their cases.1. When Daniel Tammet thinks of numbers, (he/his) sees colors.2. Prime numbers look like pebbles, and Daniel likes (they/them).3. When (he/him) adds or multiplies numbers, Daniel does not write(they/them) down.4. Daniel Tammet sees (he/his) own birthday as blue. evaluate f(x)=3x-6 when x=2 and x=-4 In a scientific investigation, after the question is defined, the next step is most likely What is the least common multiple (LCM) of 6, 12, and 15? The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part A: What is the constant of proportionality shown in the graph? Which equation has x=4 as the solution do you think you can achieve more now than that you small What percentage of this 100 square grid is shaded ? WILL MARK YOU BRAINLEST IF YOU ANSWER CORRECTLY:Steven and Anna start running from the school. Steven starts 15 seconds before Anna and runs at a rate of 3 feet per second. Anna runs at a rate of 4 feet per second. After how many seconds would Anna catch up with Steven? The bandit threatened them with a gun.nominativeobjectivepossessive. 13 point question :D pls help PLEASE HELP ME, IM BEING TIMED ON THE TEST AND NEED AN ANSWER QUICK!!!!!I ALSO SPENT ALL OF MY POINTS ON THE QUESTION!A conjecture and the flowchart proof used to prove the conjecture are shown.Given: A B C D is a parallelogram. Prove: Angle 1 is supplementary to angle 3. Art: Parallelogram A B C D. Ray D B is drawn and is extended past vertex B. The ray forms an interior angles A D B and D B C and an exterior angle labeled as 3, adjacent to angle D B C. Angle A D B is labeled as 1, and angle D B C is labeled as 2.Drag an expression or phrase to each box to complete the proof. The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is fifteen more than the second. Find the measures of the three angles.using Systems of Linear Equations with Three Variables e number of students in a school club increased from 32 to 36. By what percent did the number of students in the club increase? which is an x intercept of the continuous function in the table -2, -10 Type the correct answer in the box. Use numerals instead of words.A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is. HELP!!!! imagine that you have traveled to the planet mars. write a letter home describing what you see on the planet, and discuss some interesting events or adventure that has happened to you while you have been away. write five-six sentences. On an average day, how many earthquakes take place around the world? How many large earthquakes take place? Blood is considered to be a tissue (or group of cells)because blood a. Flows inside arteries and veins b. Is necessary to carry oxygen and nutrients to the cells c. Is pumped from the heart and is carried to the cells through arteries d. Is composed of red and white blood cells working together and having specific functions In what ways did the population of Europe use religion to deal with the devastation occurring because of the Black Death? Solve 3[-x + (2 x + 1)] = X 1.=