if you have a mass of 50 kg and are in a planet where the acceleration of gravity is 5 m/s2, your weight on the planet is

After 3 seconds of free-fall, compared to the 5 newton rock, the 10 newton rock has greater momentum.

We have 4 options:

1) Acceleration

This option is not correct as the two rocks will have the same acceleration due to the fact that air friction is neglected.

2) Height

This option is not correct as both the rocks are freely falling from rest near Earth's surface at the same rate. Heights will be same.

3) Momentum

This option is correct as rocks have same velocity but different masses. Momentum can be be written as:

p = mv,

where p: Momentum

m: Mass

v: Velocity

Therefore, momentum of 10 newton rock will be greater in magnitude than momentum of 5 newton rock.

4) Speed

This option is not correct as both rocks have same acceleration. Hence, their speeds will be the same.

Therefore, option 3) Momentum is correct.

Learn more about free-fall here:

https://brainly.com/question/13299152

#SPJ4

The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it. The a stone falling vertically to pick up speed, going from 4.8 m/s to 12.0 m/s.

Δp = F * Δt

where Δp is the change in momentum, F is the net force acting on the stone, and Δt is the time interval.

Since the stone is falling vertically and only gravity is acting on it, the net force is equal to its weight, which is given by the equation:

F = m * g

where m is the mass of the stone and g is the acceleration due to gravity (9.8 m/s^2).

Now we can find the change in momentum by subtracting the initial momentum from the final momentum:

Δp = pf - pi

= (m * vf) - (m * vi)

= m * (vf - vi)

where vi and vf are the initial and final speeds (4.8 m/s and 12.0 m/s), and m is the mass of the stone.

Substituting the expressions for F and Δp into the impulse-momentum theorem, we get:

m * (vf - vi) = F * Δt

m * (12.0 - 4.8) = m * g * Δt

7.2 = 9.8 * Δt

Finally, we can solve for Δt by dividing both sides of the equation by 9.8:

Δt = 7.2 / 9.8

Δt = 0.735 seconds

So it takes the stone 0.735 seconds to increase its speed from 4.8 m/s to 12.0 m/s.

To learn more about impulse momentum visit:

brainly.com/question/28584774

#SPJ4

The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it. It takes the stone 0.735 seconds to increase up speed, going from [tex]4.8 m/s to 12.0 m/s.[/tex]

Δp = F * Δt

where Δp is the change in momentum, F is the net force acting on the stone, and Δt is the time interval.

Since the stone is falling vertically and only gravity is acting on it, the net force is equal to its weight, which is given by the equation:

F = m * g

where m is the mass of the stone and g is the acceleration due to gravity (9.8 m/s^2).

Now we can find the change in momentum by subtracting the initial momentum from the final momentum:

Δp = pf - pi

= (m * vf) - (m * vi)

= m * (vf - vi)

where vi and vf are the initial and final speeds (4.8 m/s and 12.0 m/s), and m is the mass of the stone.

Substituting the expressions for F and Δp into the impulse-momentum theorem, we get:

m * (vf - vi) = F * Δt

m * (12.0 - 4.8) = m * g * Δt

7.2 = 9.8 * Δt

Finally, we can solve for Δt by dividing both sides of the equation by 9.8:

Δt = 7.2 / 9.8

Δt = 0.735 seconds

So it takes the stone 0.735 seconds to increase its speed from 4.8 m/s to 12.0 m/s.

To learn more about impulse momentum visit:

brainly.com/question/28584774

#SPJ4

Both hammer and nail hit the ground at the same time because acceleration due to gravity is same for everything on Earth surface.

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity.

M/s² is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s².

As acceleration due to gravity is same for everything on Earth surface, both hammer and nail hit the ground at the same time.

Learn more about acceleration here:

https://brainly.com/question/12550364

#SPJ1

Answer:

(Question)  Melissa is working on the roof of her house. She drops a hammer and a nail. Why do both objects hit the ground at the same time?

(Answer)  Earth’s gravity causes both objects to fall at the same rate.

(Question)  Which of the following statements about gravitational mass is true?

(Answer)  Gravitational acceleration is irrespective of mass.

(Question)  Two objects fall from an apartment window sill at the same time. Object 1 lands on the sidewalk in 3.6 seconds. Object 2 lands on the sidewalk in 3.3 seconds. What can be concluded about the objects?

(Answer)  Object 1 has more surface area than Object 2.

(Question)  A company uses drones to fly food to people in regions that have experienced natural disasters. The food is packed in boxes that are attached to parachutes. How can the company change the design of its parachute to reduce the number of boxes that are damaged when they hit the ground?

(Answer)  The company can design a parachute with more surface area.

(Question)  Students want to design an experiment to study gravity. They decide they will drop four objects with the same mass from the top of their school’s bleachers. They will time how long each object takes to reach the ground. How can they improve confidence in the experiment’s results?

(Answer)  Drop each object 10 times and use the average of each object’s fall times.

Explanation:

i just finished the quick check

Solve by multiplying one half by the drug's 10.5 newtons per millimetre and by its square root, 0.15 millimetre.

To learn more about muscles refer to:

https://brainly.com/question/13920046

#SPJ4

The number of pulse beats per minute is referred to as pulse rate. A resting person's heartbeat typically ranges from 72 to 80 beats per minute.

To learn more about pulse beats refer to:

https://brainly.com/question/11245663

#SPJ1

It pumps roughly 25-85 ml of blood every beat for youngsters and 55-80 ml (1/3 cup) per beat for adults.

To learn more about heart beat refer to :

https://brainly.com/question/14885673

#SPJ1

The cyclist's kinetic energy, measured in joules, is 2746.04 J. 125 Joules are the same as the kinetic energy, or (1/2 * 10 kg) * 5 m/s2.

The energy that drives motion is known as kinetic energy (KE). Kinetic energy is the force that drives motion. The mass and speed of an object moving determine how much kinetic energy it has.

According to classical physics, kinetic energy (KE) is determined by multiplying the mass of an item by the square of its velocity, or 1/2*m. As an illustration, consider an object having a mass of 10 kg (m = 10 kg) and a speed of 5 m/s (v = 5 m/s).

To know more about kinetic energy visit;-

https://brainly.com/question/26472013

#SPJ1

more of its gravitational potential energy becomes translational kinetic energy and less becomes rotational. slides down the ramp without friction.

= 1/2 m v2 Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

The amount of potential energy depends on the object's mass, the strength of gravity and how high it is off the ground. When you drop the object, this potential energy is converted into kinetic energy, or the energy of motion. Kinetic energy depends on an object's mass and its speed.

to know more about kinetic energy visit :

https://brainly.com/question/26472013

#SPJ1

Its elastic acceleration energy is converted more into translational kinetic energy than into rotational energy. glides without resistance down the ramp.

= 1/2 m v2 The relationship between kinetic energy and an object's mass and square from its velocity is direct: K.E. = 1/2 m v2. The kinetic energy is measured in g / kg body equation per second squared if the mass is measured in kilograms or the velocity is measured in meters per second.

The mass, gravitational pull, and height above the earth all affect how much potential energy an item has. This amount of energy is transformed into kinetic energy, and or energy that moves an item when it is dropped.

To know more about kinetic energy visit :

brainly.com/question/26472013

#SPJ1

According to Cavalieri's principle, if two solids are sandwiched between two parallel planes and any plane perpendicular to these planes meets them with cross-sections of equal area, the solids' volumes are also equal.

When used on increasingly intricate shapes, Cavalieri's approach demonstrates its effectiveness (or when the rectangles are allowed to become infinitely thin.) Two solids (planar figures) must have equal volumes and the same heights and areas (lengths) on every level according to a brief formulation (areas). The idea represented an early step toward what is now called the Integral Calculus.

Let's identify a relationship between the volumes of a cylinder, a cone, and a sphere as an amazing use of Cavalieri's principle.

Assume that a cylinder's height is equal to the radius of its base (r) and that the cylinder has an inscribed cone with the same base and height as the cone.

The area of the cone's cross-section at level y is equal to y², calculated from the bottom up. The area of the remaining ring (at level y) is equal to (r² - y²) because the cross-section of the cylinder, regardless of its height, equals r². This is the exact area of the cross-section of the hemisphere of radius r at level y according to the Pythagorean theorem. According to Cavalieri's principle, the cylinder's volume less the cone's volume equals the hemisphere's volume.

A cone's volume is one-third of a cylinder's volume, which is defined as Base × Height. The volume of the hemisphere is, therefore 2/3 that of the cylinder, and the volume of the entire sphere is 4/3 that of the cylinder. The latter is r³, hence the sphere's volume is 4/3 r³.

To know more about Cavalieri's principle from the link

brainly.com/question/2279671

#SPJ4

The power required to move a charge in opposition to an electric field is known as electric potential energy.

The power required to move a charge in opposition to an electric field is known as electric potential energy. A charge must be moved through a greater electric field with more energy, but it also must be moved through a weaker electric field with more energy.

Potential energy will be associated with each charged sphere's individual charge.

K!  = 8πε 0 1 ​

rsq 2

The electric field of the other sphere's potential energy contained in one object is K 2 = 4 0.

1R q 2

Consequently, the P.E. strored in the system of object at U=[2K 1 + K 2 ]= 4 0.

​q 2​  [ R 1  + 1 ]

To learn more about electric potential energy  refer to:

https://brainly.com/question/14306881

#SPJ4

The force is independent of time, the object's position, and its velocity. start with the definition of jobs completed by a force in general The force is conservative, as demonstrated by F.dr. = 15.0J+20.0J=35.0J

The displacement an object / particle experiences with regard to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude, sometimes referred to as speed. Alternately, velocity magnitude can be expressed in centimeters per second (cm/s).

By calculating the average speed over a brief period of time that includes the instant in question, one can estimate the speed of a point anywhere at given instant. For precisely calculating the values of a instantaneous velocity, Isaac Newton developed the differential calculus.

To know more about velocity visit:

https://brainly.com/question/18084516

#SPJ4

The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface (1) has an area of 1.70 m².

Surface is a line of tablet computers developed by Microsoft and sold under their brand. Surface tablets have a 10.6-inch wide touch screen display and come with USB support, dual Wi-Fi antennae, a built-in kickstand to make the tablet stand up by itself and an optional keyboard that doubles as the tablet's cover.

A surface computer is a computer which interacts with users through an ordinary object instead of through monitor and keyboard. Commands are input through the use of bare hands by touching or dragging the surface .

To know more about surface visit

https://brainly.com/question/28267043

#SPJ4

Common iron-oxides like magnetite and hematite can be found in sedimentary, metamorphic, and igneous contexts and are linked to a wide range of deposit types.

Hematite, which is the most prevalent type of iron oxide in the earth's crust, is a chemical compound consisting of oxygen and iron (Fe2O3). Magnetite is another type of it (Fe3O4).

The purest iron ore, magnetite, has an extremely high iron content of up to 70%. Excellent magnetic properties make it very useful in the electrical industry. Hematite ore is the most important industrial iron ore in terms of utilisation, however it contains somewhat less iron than magnetite.

To know more about magnetite visit:-

https://brainly.com/question/30205972

#SPJ4

According to the above statement, each charge has a magnitude of 2.23μC according to Coulomb's law.

When two items behave as point charges, the force between them may be accurately described by the Coulomb's law equation. When interacting with other charged objects, a spent conducting sphere behaves as though its whole charge were concentrated in its center. According to Coulomb's law, the force F between two triangular charges, Q1 and Q2, in a void is proportional to the inverse of their separation, r, and proportional to their product, Q1.

Coulomb's law states:

F = KQ²/r²

18 = (9*10⁹)*Q²/0.07²

Q = 2.23*10⁻⁶C or 2.23 μC

To know more about Coulomb's law visit:

https://brainly.com/question/506926

#SPJ4

The quarterback in this scenario ran at a speed of 8 m/s and threw the ball with a speed of 15 m/s.

To learn more about quarterback run refer:

brainly.com/question/2193101

#SPJ4

Equation to show the relationship between gravitational field on a planet and the acceleration when the mass or distance is varied : a = g = G * (M/r^2)

In physics, gravitational field is a model that is used to explain influences that a massive body extends into the space around itself, producing force on another massive body.

The gravitational field strength on a planet;

F = G * (Mm / r^2)

F is gravitational force, G is the gravitational constant (approximately 6.67 x 10^-11 N*(m/kg)^2), M is mass of the planet, m is mass of the object being affected by the gravitational force, and r is distance between the centers of two masses.

F/m = G * (M/r^2)

As, a = g = G * (M/r^2)

This equation shows the relationship between gravitational field on a planet and the acceleration experienced by an object due to that field. It shows that acceleration is directly proportional to mass of the planet and inversely proportional to the square of distance between the centers of the two masses.

To know more about gravitational field, refer

https://brainly.com/question/28437652

#SPJ4

These two vectors can be added to provide the net acceleration, same as in a Cartesian coordinate system.This is dispensing with the fixed X and y axis that you are used to to demonstrate this coordinate system.

How the car is accelerating as it rounds a curve?

Total acceleration vector: pointing towards the center of the curve, as the car is accelerating towards the center.

Radial acceleration vector: also pointing towards the center of the curve, as the car is accelerating towards the center.

Tangential acceleration vector: pointing parallel to the path of the car, as the car is changing direction while maintaining a constant speed.

($b$) A car is going a constant as it rounds a curve of constant radius:

Total acceleration vector: pointing towards the center of the curve, as the car is changing direction while maintaining a constant speed.

Radial acceleration vector: also pointing towards the center of the curve, as the car is changing direction while maintaining a constant speed.

Tangential acceleration vector: zero, as the car is maintaining a constant speed.

($c$) A car slows down while rounding a curve of constant radius:

Total acceleration vector: pointing towards the center of the curve, as the car is slowing down towards the center.

Radial acceleration vector: also pointing towards the center of the curve, as the car is slowing down towards the center.

Tangential acceleration vector: pointing opposite to the path of the car, as the car is slowing down while changing direction.

To learn more about vector refer:

https://brainly.com/question/29740341

#SPJ4

The law working behind the balloon moving forward when the air escapes from it is Newton's Third Law of Motion.

Newton's Third Law of Motion states that for every action in nature, there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A.

When a fully inflated balloon is released, the air molecules coming out of the balloon to strike the outside air molecules or it pushes the outside air molecules and the outside air molecule pushes the balloon back. The force experienced by the balloon is called thrust.

This is the same principle used for the movement of Rockets in space.

Learn more about Newton's Law of Motion here:

https://brainly.com/question/28171613

The fundamental order and arrangement of structure, control layers and cladding in building enclosures is strongly influenced by the indoor climate class.

To learn more about cladding refer to:

https://brainly.com/question/14122245

#SPJ4

Explanation:

The reaction you are describing is the reaction between ammonia gas (NH3) and hydrochloric acid gas (HCl). When these two gases come into contact, they diffuse and react to form a white solid deposit of ammonium chloride (NH4Cl).

If the experiment was performed at high temperature, you would expect it to take a shorter time for the white deposit to form. This is because at higher temperatures, the gases will have more kinetic energy and move faster, increasing the rate of collision between the gases and therefore the rate of the reaction. As a result, the white deposit will form more quickly at high temperatures than it would at lower temperatures.

It's also important to note that the rate of reaction also depends on the concentration of the reactants. So if the concentration of the reactants is increased, the reaction rate will increase and the white deposit will form faster.

In summary, the reaction between ammonia gas and hydrochloric acid gas forms a white solid deposit of ammonium chloride. The rate of reaction is affected by temperature and concentration of reactants, at higher temperatures and higher concentration, the white deposit will form faster.

A force of 3N will stretch the rubber a distance of 0.015 m. It takes 0.045 J of work to stretch the rubber band.

According to Hooke's law, the amount of force used to stretch an elastic item is proportional to that force. The object won't rebound if it is stretched too far, though. Only when an elastic object is not overextended does Hooke's Law hold true.

The nature of a balloon is elastic. It expands when air molecules are blasted through it. Similar to that, it gets smaller when it is expelled. It operates according to Hooke's law because the balloon's expansion and compression depend on the force with which air is pumped into it.

From Hooke's law, as long as the elastic limit is not exceeded the extension is directly proportional to the force applied.

(a)

F = Ke

F = force

K = force constant

e = extension

So;

2 N = K(1 × 10^-2) m

K = 2 N /(1 × 10^-2) m

K = 200 N/m

Hence;

3N = 200 N/m × a

Where a is the extension in meters

a = 3N/200 N/m

a = 0.015 m

(b)

Work (w) = Force (f)×distance (a)

Work (w) = 3 N×0.015

Work (w) = 0.045 J

To learn more about Hooke's law visit:

brainly.com/question/3355345

#SPJ4

The position of the body at time t is s (t) = -3 + 2t - 2 sin(2t³).

The position of the body at time t is calculated by applying the second kinematic equation as shown below.

s = s₀  + vt + ¹/₂at²

where;

The position at time t is calculated as;

s (t) = -3 + 2t + ¹/₂( - 4sin 2t )t²

s (t) = -3 + 2t - 2 sin(2t³)

Thus, the final position of the body is a function of the acceleration, initial velocity and time of motion of the body.

Learn more about final position here: https://brainly.com/question/15136691

#SPJ1

The  final angular velocity of the  rigid bar  is  5.2325 rad/s.

The angular impulse that was applied to the rigid bar  is 4.186 N-m-s.

As a vector number that indicates an object's angular speed or rotational speed as well as the axis around which it is spinning, angular velocity is defined as the rate of change of angular displacement.

The  final angular velocity  of the  rigid bar = (4.55 N-m × 0.92 s)/(0.8 kg-m²)

= 5.2325 rad/s.

The angular impulse that was applied to the rigid bar = (4.55 N-m × 0.92 s)

= 4.186 N-m-s.

Learn more about angular velocity here:

https://brainly.com/question/29557272

#SPJ1

The resistance of parallel connection will grow as soon as the switch is opened, increasing the bulb network's overall equivalent resistance. Ohm's law states that with constant battery voltage, the current flowing through bulb A—which is equivalent to the network's overall current—will drop.

Ohm's law is employed to verify the fixed values of circuit elements such voltage supplies, voltage dips, and current levels.

The current through with a resistor between two places is directly proportionate to the voltage from across two points, according to Ohm's law.

To know more about Ohm's law visit:

https://brainly.com/question/1247379

#SPJ4

Answer:

  3 ft

Explanation:

You want the length of a pendulum that has a period of 1.9 seconds.

The period of a pendulum is given by the formula ...

  T = 2π√(L/g)

Solving for the length, we find ...

  L = g(T/(2π))²

Using the given period, we find the length to be ...

  L = (32 ft/s²)(1.9 s/(2·3.14))² ≈ 2.93 ft ≈ 3 ft

To the nearest foot, the length of the pendulum is 3 ft.

The normal force (in n) acting on an astronaut of mass 88.4 kg, including her space suit is  M=6612.32N direction upwards.

One kind of ground response force is the normal force. The entire ground response force can be broken down into two parts: a normal force perpendicular to the ground and a frictional force parallel to the ground if the person stands on a slope without sinking into the ground or sliding downhill. Another typical scenario is when an object strikes a surface at a certain speed and the surface is able to survive the impact. In this case, the normal force causes a quick deceleration, which depends on the flexibility of the surface and the object.

Given, a=65m/[tex]s^{2}[/tex]

mass=88.4Kg

from the condition ,

let M be the normal force

M=ma

M=mg+ma

M=m(g+a)

M=88.4(9.8m/[tex]s^{2}[/tex]+65m/[tex]s^{2}[/tex])

M=6612.32N direction upwards

Learn more about normal force

brainly.com/question/13340671

#SPJ4

Dipole is the force that is most prominently felt at the glass's surface.Hexane interacts with the glass in a non polar  manner, producing only week adhesive interactions.

The complete question is,

Water rises 1.4 cm when a thin glass tube is inserted into it.Hexane barely rises 0.4 cm when the same tube is submerged in hexane.To best describe the distinction, complete the phrases.Place the words in the proper sentence blanks.

Before submitting your response, make sure all of your sentences are complete.

1. The strongest force detected at the glass surface is:

2. Water is __________ and interacts with only weak hydrogen-bonding polar glass to produce sticky contacts.

3. Hexane reacts and is _____, causing sticky interactions that are ____ with the glass.

To learn more about DIPOLE refer

https://brainly.com/question/17072532

#SPJ4

The value of θ for which the bead will remain stationary relative to the rotating wire while assuming bead slides without friction is 2π radians.

For the bead to remain stationary relative to the rotating wire, the centripetal force provided by the wire must be balanced by the gravitational force acting on the bead. The gravitational force acting on the bead is given by the weight of the bead, which is:

Fg = mg

where m is the mass of the bead (150 g) and g is the acceleration due to gravity (9.8 m/s^2).

The centripetal force provided by the wire is given by:

Fc = mv^2 / r

where m is the mass of the bead, v is the velocity of the bead and r is the radius of the wire (20 cm).

For the bead to remain stationary relative friction to the wire, the gravitational force must equal the centripetal force.

mg = mv^2 / r

The velocity of the bead v is related to the angular velocity of the wire by v = r * ω

where r is the radius of the wire, and ω is the angular velocity of the wire (3 revolutions per second)

so we can substitute v = r * ω in the previous equation:

mg = m(r * ω)^2 / r

mg = mr^2 * ω^2

g = r * ω^2

Now we can find the angle θ for which the bead will remain stationary relative to the rotating wire by using the fact that:

θ = ω * t

where θ is the angle in radians, ω is the angular velocity and t is time in seconds. We know that the angular velocity of the wire is 3 revolutions per second, which is equal to 3*2π radians/second. We also know that the bead is on the wire's semicircle, so the bead will complete half a revolution in a time of 1/3 second.

So, the angle θ = ω * t = 3*2π * 1/3 = 2π radians

So, the bead will remain stationary relative to the rotating wire when it is at an angle of 2π radians (360 degrees) from the vertical axis of rotation.

To know more about friction please refer: https://brainly.com/question/17237604

#SPJ4

People couldn't walk if it weren't for the force of friction. Please select the response that, among the given options, is truest.

the statement is true.

A solid thing cannot move over another solid object without encountering friction. The four basic types of friction are fluid friction, rolling friction, sliding friction, and static friction.

Friction is defined as the rubbing of two bodies together. the resistance to relative motion of two bodies in contact, such the friction of sandpaper on wood. Oil lowers friction in an automobile engine.

To know more about friction visit:

https://brainly.com/question/13000653

#SPJ4