Unless otherwise stated, all objects are located near the Earth's surface, where g = 9.80 m/s. A girl pushes a 21 kg lawn mower as shown in the figure


a)If F = 32 N and θ = 45 ∘ what is the acceleration of the mower? Ignore friction.


b)What is the normal force exerted on the mower by the lawn?

The characteristics of the gravitational potential energy allows to find the results for the energy change when climbing the stairs are:

Potential energy is a configuration energy of the system, the system has the ability to perform work. The gravitational potential energy is:

           U = mg y - U₀

Where U is the gravitational potential energy and m the mass of the body, g the acceleration of gravity and y the height, Uo is the zero of the energy that must be defined for each case.

Indicates that the body rises a height of y = 346 m, the energy increases.

         ΔU = U-U₀ = m g y

         ΔU = m 9.8 346

         ΔU = 3390.8 m

Where m is the mass of the body. If we assume that the mass is m = 1kg.

         ΔU = 3390.8 J

This energy is due to the height therefore it is due to the configuration of the system, consequently it is a configuration energy.

In conclusion, using the characteristics of gravitational potential energy we can find the results for the energy change when climbing the stairs are:

Learn more about gravitational poetential energy here:  brainly.com/question/19768887

Answer:

1 tablet

Explanation:

The closest rounding of 1.04 that is in the answers is 1.

Answer:

11.2 m/s

Explanation:

We need to first figure out how long it took to reach the ball's max height:

Vf = 0

Vi = 30 m/s

a = -9.81 m/s^2

t = ?

---------------

Vf = Vi + at

0 = 30 + (-9.81)t  --->  -30 = -9.81t  ---> 3.058 = t

t = 3.058 s

---------------

We can now solve the problem by subtracting the given time (4.2s) by the max height time (3.058s) and plugging that into a kinematic equation for Vf:

Vi = 0

a = 9.81 m/s^2

t = (4.2s - 3.058s) = 1.142 s

Vf = ?

---------------

Vf = Vi + at

Vf = 0 + (9.81)*(1.142)  ---> Vf = 11.203

---------------

The velocity of the ball after 4.2s is 11.2 m/s

The centripetal acceleration of Tom sitting half-way from the edge of the merry-go-round is double of the centripetal acceleration of Sarah sitting at the edge of the merry-go-round.

Let the constant rate of their motion, = v

Let the radius of the merry-go-round = R

The centripetal acceleration of Sarah sitting at the edge of the merry-go-round is calculated as;

[tex]a_c_1 = \frac{V^2}{R}[/tex]

The centripetal acceleration of Tom sitting half-way from the edge of the merry-go-round is calculated as;

[tex]a_c_2 = \frac{V^2}{\frac{1}{2} \times R } \\\\a_c_2 = \frac{2V^2}{R} \\\\a_c_2 = 2(\frac{V^2}{R} )\\\\a_c_2 = a_c_1[/tex]

Thus, the centripetal acceleration of Tom sitting half-way from the edge of the merry-go-round is double of the centripetal acceleration of Sarah sitting at the edge of the merry-go-round.

Learn more here:https://brainly.com/question/11700262

The force acting on a stretchy  material is the product of of the spring constant and the displacement by stretching of the material. Thus, resultant force  of the material with a spring constant o 42 N/m with a displacement of 3.6 cm is 1.51 N downwards.

Force is an external agent acting on a body to change it form the state of rest or motion. There are various kinds of forces such as gravitational force, nuclear force, magnetic force, frictional force etc.

A stretching material such as a string will experience an elastic nature. The force F acting on the spring is directly proportional to the its displacement X. The proportionality constant is called spring constant.

Hence we can write it as ,

F = -kx

Here, the spring constant is given 42 N/m and displacement is 3.6 cm or 0.036 m. Now the force is calculated as follows:

Force =  -0.036 m ×  42 N/m

          =- 1.51 N

The negative sign indicates the direction is downwards.

Thus, the force acting on the material is 1.51 N.

To find more about force, refer the link:

https://brainly.com/question/13191643

#SPJ5

This question involves the concepts of the law of conservation of energy, kinetic energy, potential energy, and moment of inertia.

The angular velocity of the solid sphere at this point is "95.44 rad/s".

According to the law of conservation of energy:

Loss in Potential Energy = Gain in Rotational Kinetic Energy + Gain in Translational Kinetic Energy

[tex]mgh = \frac{1}{2}I\omega^2+\frac{1}{2}mv^2[/tex]

where,

m = mass of sphere

g = acceleration due to gravity = 9.81 m/s²

h = loss in height = (270 cm) Sin 37° = 162.5 cm = 1.625 m

r = radius of sphere = 5 cm = 0.05 m

ω = angular speed of sphere = ?

v = linear speed of sphere = rω

I = moment of inertia of sphere = [tex]\frac{2}{5}mr^2[/tex]

Therefore,

[tex]mgh=\frac{1}{2}\frac{2}{5}mr^2\omega+\frac{1}{2}m(r\omega)^2\\\\gh=\frac{1}{5}r^2\omega^2+\frac{1}{2}r^2\omega^2\\\\(9.81\ m/s^2)(1.625\ m)=(\frac{1}{5}+\frac{1}{2})(0.05\ m)^2\omega^2\\\\\omega=\sqrt{\frac{15.941\ m^2/s^2}{0.00175\ m^2}}[/tex]

ω = 95.44 rad/s

Learn more about the law of conservation of energy here:

brainly.com/question/20971995?referrer=searchResults

The attached picture explains the law of conservation of energy.

Answer:

The doorbell transforms electrical energy into sound.

Explanation:

The doorbell MAY turn electrical energy into motion of a striker which then impacts a resonator creating sound. However all door bells do not have solenoids. Some are electronic playing recordings when activated.

All doorbells do produce sound, though.

Answer:

The factors that affect how an object moves through the air are force, friction, interia, and momentum.

Explanation:

Answer:

The Force Of Gravity

Answer:

Past  

I walked home.

She studied.

He made a list.

Present

She walks home.

They leave the door open.

Future

She will walk home.

It will open next week.

Explanation:

Answer:

1 Proton, 1 Electron, No Neutrons

Group 1, Period 1

Gases

Malus's law allows us to find the result for which is the angle of the polarizer for a reduction of the intensity is:

          θ = 34.9º

Malus's law establishes a mathematical relationship for the light transmitted by a polarizer is:

          I = I₀ cos² θ

where I and I₀ are the transmitted and incident intensities, respectively, θ is the angle between the two polarizers.

They indicate that the incident light is polarized, so we do not need the first polarized to create the polarized light, ask what the polarized angle should be for the intensity to be reduced by a factor.

           [tex]\frac{I_o}{I } = 1.22 \\\frac{I}{Io} = 0.81967[/tex]

Let's use Malus's law

          i / Io = cos² θ

          cos θ = [tex]\sqrt{\frac{I}{I_o} }[/tex]  

          θ = cos⁻¹1 0.81967

          θ = 34.9º

In conclusion, using Malus's law we can find the angle of the polarized for a reduction of the intensity is:

          θ = 34.9º

Learn more here:  brainly.com/question/12216816

hindi ko po alam yan sorry po

Answer:

P = W / t     definition of power

P = F s / t = F v t / t = F v     power expended

v = 2 pi R f         f = frequency = rev / sec     (S = 2 pi R n = 2 pi R f t)

                                                                        and v = S / t

P = F 2 pi R f = 47.3 lb * 6.28 * .741 ft * 7.42 / sec = 1630 ft-lb/sec

(1630 ft-lb/sec) / (550 ft-lb/sec / HP) = 2.96 HP  

Answer:

S = Vy t + 1/2 g t^2 = 1/2 g t^2    vertical speed with zero initial speed

t = (2 S / g)^1/2      with g = 32 ft/sec^2

t = (900 / 32)^1/2 = 5.30 sec    time to reach ground

V = a t = 32 ft/s^2 * 5.30 s = 170 ft/sec

170 ft/sec / (88 ft/sec / 60 mph) = 116 mph           since 88 ft/sec = 60 mph

We have several questions about gravity, the answers are:

The first question is, what is gravitation?

We define gravitational force as the attraction force between two objects with mass. From this, we can see that the correct option is:

"the attraction of any two objects because of their mass"

The second question is, which of the following was discovered by Newton?.

Newton concluded that the forces between objects with masses were what defined the orbits in the solar system, so the correct option here is:

"Gravity keeps the planets in their orbits."

The third question is: How the gravitational constant was first determined?

It was originally measured by Cavendish in 1978, he actually measured Earths density, and by knowing that the acceleration was roughly 9.8m/s^2, he could estimate the constant, so here the correct option is:

"by knowing that the acceleration caused by gravity is 9.8 m/s/s"

The fourth question is: The force of gravity between any two ordinary objects on the earth is?

Remember, gravity is an attractive force that depends on the mass of the objects. Here the only option that is always correct is:

"stronger if the objects are more massive"Question 5:Here the correct option is:"

For question 5 we have that the correct one is:

"The space station exerts a force on the earth toward the space station" Gravity acts on both objects, the earth and space station, just that the planet has a lot more mass than the space station, thus the force that it causes in the planet is negligible.

Question 6:

Gravity increases linearly with mass and decreases quadratically with distance, so if we double the mass and the radius, we can expect that the gravity at the surface to be near half of that one we have on Earth, then the correct option is:

"one half as much as Earth."

Question 7:

Again, force decreases with distance squared, then if you are closer to the planet, let's say, at sea level, the force will be greater than if you are on top of a mountain. The correct option is:

"The force of the earth's gravity on an object at sea level is stronger than at the top of a mountain."

Question 8.

By definition of gravitational field, the correct option is the last one:

"a region of space-time with a property at each point determined as the gravitational force on any object divided by its mass"

Question 9:

The field defines the force, thus the arrows should point in the same direction that the force acts, the correct option is:

"field vector arrows pointing in the direction of the gravitational force."

Question 10:

The correct option is 2.5 N/kg

Notice that N/kg = m/s^2

To get this, you just need to compute the 25% of Earth's gravitational acceleration.

Question 11:

The correct option is:

"the way an object with mass placed on a surface bends the surface"

Gravity is thought as a deformation in the space plane.

Question 12:

We just multiply the mass by the field:

10kg*3.5 N/kg = 35N

If you want to learn more, you can read:

https://brainly.com/question/21454806

Answer:

D. Less rain and snow.  

Explanation:

A factor that can be a account for a drop in the water table is, less rain and snow. to topography, water tables is influenced by lot of factors, including the geology, weather, ground cover.

Answer:

a) Wnet = 0

b) W, = 32.9mJ

c) Wresistance = -32.9mJ

Explanation:

in pic

________________________

(hope This helps can I pls have brainlist (crown)☺️)

The force exerted on the pumpkin by the wall is 600 N

From the question given above, the following data were obtained:

Mass (m) = 2 Kg

Initial velocity (u) = 15 m/s

Final velocity (v) = 0 m/s

Time (t) = 0.05 s

The force exerted on the pumpkin by the wall can be obtained as follow:

[tex]f = \frac{m(v + u)}{t} \\ \\ f = \frac{2(0 + 15)}{0.05} \\ \\ f = \frac{2 \times 15}{0.05} \\ \\ f = \frac{30}{0.05} \\ \\ [/tex]

Therefore, the force exerted on the pumpkin by the wall is 600 N

Learn more: https://brainly.com/question/231466

Answer:

Melon

Explanation:

The melon will hit the ground first because it has a greater mass and therefore greater gravitational pull than the pomegranate, which weighs less.

Both  melon and the pomegranate will reach the ground at the same time

The force between all masses in the universe, especially the force of the earth's mass for bodies near its surface is called gravitational force

Both  melon and the pomegranate will reach the ground at the same time ,because melon is heavier hence it will have greater gravitational force on it but it will also has lower acceleration but pomegranate have lighter mass hence will have  lower gravitational force but have higher acceleration , so these two effects will cancel each other and allow both melon and pomegranate to reach the ground at  same time .

learn more about gravitational force

https://brainly.com/question/12528243?referrer=searchResults

#SPJ2

The jet must accelerate in 5.37 s if it must reach the lift-off speed

From the question given above, the following data were:

Initial velocity (u) = 0 m/s

Final velocity (v) = 120 m/s

Distance (s) = 322 m

The time needed for the jet to accerate can be obtained as follow:

[tex]s = \frac{(v + u)t}{2} \\ \\ 322 = \frac{(120 + 0)t}{2} \\ \\ 322 = \frac{120t}{2} \\ \\ cross \: multiply \\ \\ 120t = 322 \times 2 \\ \\ 120t = 644 \\ \\ divide \: both \: side \: by \: 120 \\ \\ t = \frac{644}{120} \\ \\ [/tex]

Thus, the jet must accelerate in 5.37 s in order to reach the lift-off speed

Learn more: https://brainly.com/question/19573976

As the jet leaves the ground, it accelerates at a rate of 22.4 ms-2.

We have the following information from the question;

Final velocity = 120 m/s

Initial velocity = 0 m/s

Distance covered = 322 m

Acceleration = ?

Using the equation;

v^2 = u^2 + 2as

v = final velocity

u = initial velocity

a = acceleration

s = distance

(120)^2 = 0^2 + (2 × a × 322)

14400 = 644a

a = 14400/644

a = 22.4 ms-2

Learn more: https://brainly.com/question/6284546

Answer:

U would need to know the depth of the water

Explanation:

Answer:

look at the photo........................

Answer:

4.46 is the correct answer

Explanation:

Answer:

the answer is 343/9.8=35

Explanation:

the answer is 35 because mass=weight/gravity

The mass of a person who weighs 343 N is 35.0 kg.

The most fundamental characteristic of matter is mass, which is one of the fundamental quantities in physics. Mass is a term used to describe how much matter is there in a body. The kilograms is the SI unit of mass (kg).

Weight is a measurement of how much gravity is pulling on a body.

The weight formula is as follows: w = mg

Since weight is a force, it has the same SI unit as a force, which is the Newton (N). It depends on both mass and the acceleration caused by gravity.

The weighs of the person is = 343 N

The mass of the person is = weighs of the person ÷ acceleration due to gravity

= 343 N ÷ 9.80 m/s²

= 35.0 kg.

Hence, the mass of the person is 35.0 kg.

Learn more about mass here:

https://brainly.com/question/19694949

#SPJ2

Explanation:

Fgravity = G*(mass1*mass2)/D²

G is the gravitational constant, which has the same value throughout our universe.

D is the distance between both objects.

now, we change these numbers

Fgravitynew = G*(2*mass1*2*mass2)/(1/2 * D)² =

= G*(4*mass1*mass2)/(D²/4) =

= 4* (G*(mass1*mass2)/D²) *4 =

= 16* (G*(mass1*mass2)/D²) = 16*Fgravity

so, the new gravitational force will be 16×F.