A hockey player hits a puck so that it comes to rest in 9 s after sliding 30 m on the ice. Determine (a) the acceleration in terms of ,​(4 marks) (b) the initial velocity and acceleration of the puck.​(5 marks)

Answer:

Force due to gravity in earth = 74.8*9.8 = 733.04 N

Explanation:

We have mass of Mr. Arbo = 74.8 kg

Force of gravity = Weight = Mass * Acceleration due to gravity value of planet.

In earth acceleration due to gravity value = 9.8[tex]m/s^2[/tex]

So force due to gravity in earth = 74.8*9.8 = 733.04 N

Answer:

Third displacement = 2.81 m which is 61.70° north of east.

Explanation:

   Let east represents positive x- axis and north represent positive y - axis. Horizontal component is i and vertical component is j.

  She sails 2 km east, displacement = 2 i

  Then 3.50 km southeast, means 3.5 km 315⁰ to + ve X axis

  Displacement = 3.5 cos 315 i + 3.5 sin 315 = 2.47 i - 2.47 j

  Let third displacement be x i + y j

  We have final displacement = 5.80 km east = 5.80 i

  From summation we have total displacement = 2 i + 2.47 i - 2.47 j + x i + y j

                                                                           = (4.47+x) i + (y - 2.47) j

  Comparing both , we have 4.47+x = 5.80

                                                        x = 1.33

                                                 y-2.47=0

                                                         y = 2.47 j

  So third displacement = 1.33 i + 2.47 j

  Magnitude of third displacement = [tex]\sqrt{1.33^2+2.47^2} =2.81m[/tex]

  θ = tan⁻¹(2.47/1.33) = 61.70°

  So third displacement = 2.81 m which is 61.70° north of east.

(a) the horizontal force is 11.3 N

(b) The tension in the thread is 22.6 N

Draw a free body diagram for the suspended metal ball as shown in the figure. The tension T acts along the length of the thread, the force F is the horizontal force and its weight is mg, which acts vertically down wards.

Resolve the tension into two components- T cos 30 along the vertical and T sin30 along the horizontal as shown in the figure.

Apply the condition for equilibrium along the horizontal direction.

[tex]F=Tsin30........(1)[/tex]

Apply the condition for equilibrium along the vertical direction.

[tex]mg=Tcos30.......(2)[/tex]

Divide equation (1) by equation (2) and write an expression for F.

[tex]\frac{F}{mg} = tan30\\ F=mgtan30[/tex]

Substitute 2 kg for m and 9.81 m/s² for g.

[tex]F=mgtan30\\ =(2kg)(9.81m/s^2)(tan30^o)\\ =11.3N[/tex]

The horizontal force required to keep the ball taut is 11.3 N

From equation (2),

[tex]T=\frac{mg}{sin30} \\ =\frac{(2kg)(9.81m/s^2)}{sin30^o} \\ =22.6N[/tex]

Thus, the tension in the thread is 22.6 N

A. Lowering the temperature.

The anser is going to be A.Lowering the temperature.

I HOPE THIS HELPS YOU OUT ALLOT

Mass of the dummy m = 75 kg

Net Force on the dummy [tex]F_{net}  = -825 N[/tex] since it is given that the force is towards the backside of the car.

Acceleration of the dummy a = ?

Using Newton's 2nd law of motion, we have

[tex]F_{net}  = ma[/tex]

-825 = (75)a

Hence, [tex]a =  \frac{-825}{75}[/tex]

Acceleration of the dummy is -11 [tex]m/s^{2}[/tex]

The negative sign indicates that the dummy is slowing at a rate of 11 [tex]m/s^{2}[/tex]

Answer:

        Acceleration towards rear = 11 [tex]m/s^2[/tex]

        Acceleration towards direction of movement of dummy  = -11 [tex]m/s^2[/tex]

Explanation:

  Mass of dummy = 75 kg

   Force acted towards rear of the car = 825 N

   We have Force acting on a body = Mass of body * Acceleration of body

   Substituting the given values in the above equation we will get

        825  = 75 * a

         a = 11 [tex]m/s^2[/tex]

        So acceleration towards rear = 11 [tex]m/s^2[/tex]

        Acceleration towards direction of movement of dummy  = -11 [tex]m/s^2[/tex]

Speed of Dayshawn travelling towards his home is 12 m/s

Speed of her mom towards his school is 5 m/s

They both starts at same time so whenever they will meet on their path the sum of the distance covered by Dayshawn and distance covered by his mom must be equal to the total distance of school and home

Now let say they both meet after "t" time when they starts motion

so we can write the total distance between school and home as

[tex]d = v_1*t + v_2*t[/tex]

here d = 6492 m

[tex]v_1 = 12 m/s[/tex] = speed of dayshawn

[tex]v_2 = 5 m/s[/tex] = speed of his mom

now by solving the above equation

[tex]6492 = 12t + 5 t[/tex]

[tex]t = \frac{6492}{17}[/tex]

[tex]t = 381.9 s[/tex]

so they will meet after 381.9 s from start which will be 3.36 minutes from there start

Also at this time the distance covered by her mom will be

[tex]d_2 = v_2*t[/tex]

[tex]d_2 = 5* 381.9 = 1909.4 m[/tex]

so they will meet at distance 1909.4 m from their home

here two cars are placed on an aluminium track

so there is no friction on two carts during their motion and hence there is no external force on them

now if there is no external force so momentum is conserved

[tex]m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f][/tex]

here

[tex]m_1 = m_2 = 0.4 kg[/tex]

[tex]v_{1i} = 1.5 m/s[/tex]

[tex]v_{2i} = 0[/tex]

now plug in all values in it

[tex]0.4 * 1.5 + 0 = 0.4* v_{1f} + 0.4*v_{2f}[/tex]

divide whole equation by mass 0.4

[tex]v_{1f} + v_{2f} = 1.5[/tex]

also be the equation of coefficient of restitution

[tex]e = 1 = \frac{v_{2f} - v_{1f}}{v_{1i} - v_{2i}}[/tex]

now we have

[tex]v_{2f} - v_{1f} = 1.5[/tex]

now by solving above equations we will have

[tex]v_{2f} = 1.5 m/s[/tex]

[tex]v_{1f} = 0[/tex]

so after collision speed of two carts is 0 m/s and 1.5 m/s after collision

Heat required to raise the temperature of a given system is

[tex]Q = ms\Delta T[/tex]

here we know that

m = mass

s = specific heat capacity

[tex]\Delta T[/tex] = change in temperature

now as we know that

mass of wood = 5 kg

mass of aluminium pan = 2 kg

change in temperature = 45 - 20 = 25 degree C

specific heat capacity of wood = 1700 J/kg C

specific heat capacity of aluminium = 900 J/kg C

now here we will find the total heat to raise the temperature of both

[tex]Q = m_1s_1\Delta T_1 + m_2s_2\Delta T_2[/tex]

[tex]Q = 5 * 1700 * 25 + 2 * 900 * 25[/tex]

[tex]Q = 212500 + 45000[/tex]

[tex]Q = 257500 J[/tex]

So heat required to raise the temperature of the system is 257500 J

The mass of strawberries after freeze-drying would be significantly less than their original mass, given that most of the water content is removed during the process. For 100 kg of fresh strawberries, the approximate mass after freeze-drying would be about 8.4 kg, assuming 91.6% water content.

The approximate mass of strawberries after freeze-drying can be calculated by considering the water content in the fresh strawberries. Fresh strawberries consist of about 91.6% water. During the freeze-drying process, most of this water is removed, hence reducing the mass significantly.

To estimate this change in mass, we can subtract the mass of water (91.6% of the original mass) from the total mass of the fresh strawberries (100 kg). Thus, the dried strawberries would approximately be 8.4% of their original mass, since the mass of fructose and other non-water components remain. This is an estimation and the actual number can be slightly higher or lower depending on the exact freeze-drying process and the specifics of the strawberries.

Therefore, after freeze-drying 100 kg of fresh strawberries, which originally consist of 91.6% water, the approximate mass of the strawberries would be about 8.4 kg.

Final answer:

Momentum determines the movement of two objects after a collision. The total momentum of a two-object system remains constant, generally resulting in motion towards the direction of the larger momentum. Option b

Explanation:

When two objects of unequal mass collide, the direction they will continue to move in after the collision is determined by the momentum they have. According to the principle of conservation of momentum, the total momentum of a system remains constant if no external forces are acting on it.

If we consider two cars with different masses in an inelastic collision, car 1 will slow down, losing some momentum, and car 2 will speed up, gaining momentum.

However, the momentum of the system (both cars) before and after the collision remains the same. The total momentum after the collision will move in the direction of the combined momentum of the two objects prior to the collision.

Generally, this would be in the direction of the object with the larger pre-collision momentum, but the exact direction and speed will depend on the masses and velocities of both objects. Option b

Complete solution is given below in attachment

the answer i believe is B

Answer:

B. The spacecraft will move and will not stop until it is stopped by an equal or opposite force.

Explanation:

From the first law of motion (given by Newton), a body continues to be in state of rest or motion, unless and until an unbalanced external force acts on it. This is also known as law of inertia.

So, according to this law, the spacecraft which is motionless would move when a push is given to it. It will now keep on moving until an equal and opposite force acts on it and stops it.

Thus, option B is correct.

As

Mosquito flaps its wings in one sec= 600 times.

Time Period = Time required to flap wings one time

So Time period = 1/ 600

Time period =0.00167 sec

Time period = 1.7×10³ sec

Explanation:

1 nano-meter radiations are very difficult to observe from the ground based telescope because most of this range of radiation is absorbed through ozone layer. A very small amount of this range escape out of the ozone layer. This remaining few radiations are very difficult to track from the ground base telescope.

1 millimeter range of radiation comprises of infrared. It has range from 710 nano-meter to 1 millimeter. Infrared radiation can be easily absorbed from water and carbon di oxide molecules present in the atmosphere. So, it is absorbed by water and carbon di oxide molecules in the atmosphere. Thus, it is difficult to observe from the ground based telescope.

100 meter radiations are are radio-waves. The charged particle present in the uppermost layer of atmosphere absorbs these radio waves. So, these waves are absorbed by charged particle in the upper atmosphere. Thus, it is difficult to observe from the ground based telescope.  

AS

work done =W = F.d = F d cosФ     (Ф is angle between force F and displacement d) If a body/object is moving on a smooth surface (friction-less surface ) .There is no force acting on that body.  F=0 so W=FdcosФ= (0)dcosФ ⇒ W=0

Now if a body is facing some amount of force but under the action of force there is no displacement covered. d=0 so W =FdcosФ= F(0)cosФ ⇒W=0

example:  A person is applying a force on rigid wall but wall remains at rest there is no displacement occurs in wall.

The third term upon which work done  dependent is angle between force and displacement i.e Ф. If Ф=90° then W= FdcosФ= Fdcos90⇒ W=0   ( as cos 90°=0)

Answer: need more info

Explanation:

The elastic potential energy stored in a spring is given by:

[tex]E=\frac{1}{2}kx^2[/tex]

where k is the spring constant, and x=0.5 is the compression of the spring. Re-arranging the formula and using E=5 J, we find the spring constant:

[tex]k=\frac{2E}{x^2}=\frac{2(5 J)}{(0.5 m)^2}=40 N/m[/tex]

Spring constant = k = 10 N/m

According to Hooke's law:

                                         F = kx.

                                            k = F/x

Putting values in above formula:

                                            k = 5/0.5

                                             k = 10 N/m

Bohr’s model showed that electron orbits had distinct radii.

Answer:

bohr developed a model of the atom that predicts how it will behave

Explanation:  

a p e x :)

That's called "Geothermal" energy.

"Geo ..." always means something about the Earth.

"Thermal ..." always means something about heat.

Geothermal energy is used in places where there's a lot of heat that's not too far under the ground, like in places above ancient volcanos.  

The system is built with pipes running deep down into the ground and then back up again, and then running water is pumped through the pipes.  The water picks up heat from down under and brings the heat up to the surface, where it can be used to heat homes and buildings, and turn steam turbines to generate electricity.

Geothermal is the MAIN source of energy in Iceland.

The type of power plant that uses heat from underground to make electricity is called a geothermal power plant.

Geothermal power plants harness the heat stored in the Earth's crust to generate electricity. This heat energy is typically obtained from geothermal reservoirs, which are areas where hot water or steam is trapped beneath the Earth's surface. The heat is extracted through wells and used to drive turbines connected to generators, converting the thermal energy into electrical energy.

Geothermal power plants are a renewable and sustainable energy source as they rely on the natural heat of the Earth.

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Newton's 2nd law of motion:

F = ma

F is force, m is mass, and a is acceleration.

Here when car in front of us applied brakes then it is slowing down due to frictional force on it

So here we can say that friction force on the car front of our car is given as

[tex]F_f = \mu m g[/tex]

So the acceleration of car due to friction is given as

[tex]F_{net} = - \mu mg[/tex]

[tex]a = \frac{F_{net}}{m}[/tex]

[tex]a = -\mu g[/tex]

now it is given that

[tex]\mu = 0.868[/tex]

[tex]g = 9.81 m/s^2[/tex]

so here we have

[tex]a = -0.868 * 9.81[/tex]

[tex]a = -8.52 m/s^2[/tex]

so the car will accelerate due to brakes by a = - 8.52 m/s^2

The acceleration of the car when it was front of him is [tex]\\\rm \bold { -8.52 m/s^2}[/tex].

Given here,

[tex]\rm \bold{ \mu = 0.868}\\\rm \bold{ g =9.81 m/s^2}[/tex]

The friction force applied on car is

[tex]\rm \bold { F_f= \mu mg}\\[/tex]

[tex]\rm \bold { F_n_e_t= - \mu mg}\\[/tex]

The acceleration due to friction

[tex]\rm \bold { a = \frac{F_n_e_t}{m} }\\\\\rm \bold { a = -\mu g}[/tex]

[tex]\rm \bold { a = -0.868\times 9.81}\\\rm \bold { a = -8.52 m/s^2}[/tex]

Hence, we can conclude that the acceleration of the car when it was front of him is [tex]\\\rm \bold { -8.52 m/s^2}[/tex].

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-- At the end of 18sec, the stone's velocity is (9.8m/s² x 18s) = 176.4m/s downward.

-- Starting at 0 m/s and ending at 176.4m/s, its average velocity is 88.2m/s downward.

-- Falling for 18s at an average speed of 88.2m/s, it falls (88.2m/s x 18s) = 1,587.6 m .

-- Its displacement is 1,587.6 meters downward.

The stone's displacement after falling freely for 18 s under the acceleration due to gravity (9.8 m/s²) is 1587.2 meters.

The displacement of an object in free fall can be determined using the equation of motion: S = ut + 0.5gt². In this case, the stone is dropped freely from rest, so the initial velocity (u) is 0 m/s. The acceleration due to gravity (g) is 9.8 m/s² and the time (t) is 18 s. Substituting these values into the equation, we get: S = 0 * 18 + 0.5 * 9.8 * (18)² = 0 + 0.5 * 9.8 * 324 = 1587.2 meters.

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Interneurons.

Their role is to receive signals from from the Sensory Neurons, process them, and communicate the decision to the Motor Neurons. They play a good role in Reflex Arcs.

It protects the electrical appliance and the person from electrical shocks/faults.

Hope it Helped!

In the SI (International, metric) system of measurement, they are the Kilogram of mass, the Meter of length, and the Second of time.  

With mass, length, and time, you can combine them in enough ways to measure ALMOST everything that can be measured in the physical world, like speed, velocity, acceleration, momentum, area, volume, force, energy, pressure, etc.

'Almost'. You still need a few more to wrap things up.  The other quantities (and their SI units) are:  Electric charge (the Coulomb), temperature (the Kelvin), amount of a substance (the Mol), and luminous intensity (the Candela).  You can't build these with only mass, length, and time.

The three base units of measurement in the International System of Units (SI) are the meter for length, the kilogram for mass, and the second for time.

The three base units of measurement in the International System of Units (SI) are the meter (m) for length, the kilogram (kg) for mass, and the second (s) for time.

The meter is defined as the length of the path travelled by light in a vacuum during a time interval of 1/299,792,458 of a second.

The kilogram is defined by the Planck constant as exactly 6.62607015×10−34 kilogram square meter per second.

The second is defined by the cesium-133 atom in ground state, where one second is the duration of 9,192,631,770 periods of radiation corresponding to the transition between two energy levels.

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Ac=centripetal accelration

Fc= centripetal force

V= tangential speed

The formulas Ac, Fc, and V represent centripetal acceleration, centripetal force, and tangential speed respectively. These are used in Physics to determine different aspects of a satellite's motion in a circular path.

The given formulas in the question correspond to different aspects of satellite motion. Ac, or centripetal accelration, refers to the acceleration of an object moving in a circular path. This tends to be directed towards the center of the circle, hence the term 'centripetal'. The formula for centripetal acceleration is Ac = V^2 / r, where V is the velocity of the object and r is the radius of the circular path.

Fc, or centripetal force, is the force necessitated to keep an object moving in a circular path. This is calculated using the formula Fc = m * Ac, where m is the mass of the object and Ac is the centripetal acceleration.

Lastly, V refers to tangential speed, representing the constant speed of an object moving along a circular path. It can be calculated using the formula V = 2πr / T, where r is the radius of the circular path and T is the period of rotation (or time it takes for one complete rotation).

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Answer:

could someone at least give one answer instead of a choice between two cause that is a 50/50 chance to get it correct on a test!!

Explanation:

In the absence of air resistance , object fall with  same acceleration .

In the absence of air resistance, objects fall at constant acceleration.

Object falling in absence of air resistance is tantamount to object falling in a vacuum. The experiment was performed in Italy by a Physicist known as Galilio Galilian. He dropped two different objects of different masses in the absence of air and discovered that they both landed at the same time.

The objects falling in the absence of air resistance will experience a free fall. And the formula for free fall are :

Non of the above formula depends on the mass of the object but the acceleration due to gravity and the height at which they are falling.

And since the acceleration due to gravity is constant, therefore, In the absence of air resistance, objects fall at constant acceleration due to gravity.

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The arrow in a chemical reaction can be translated as the following:

A. yields

C. react to form

The arrrow in a chemical reaction is translated to mean a reactant combines to yield or react to form a product: Option A and C are correct.

Arrows in a chemical reaction are very important to differentiate between the reactants and the product.

They are used in chemical reactions to show that the reaction yields a particular product.

For instance, hydrogen reacts with oxygen to yield water as shown;

[tex]2H_2 + O_2 \rightarrow 2H_2O[/tex]

We can see that the arrow in the reaction shows that the reaction of hydrogen and oxygen element yields or react to form water.

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