A ball is thrown vertically upward from the top of a building 80 feet tall with an initial velocity of 64 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s=80+64t-16t^2.a) After how many seconds does the ball strike the ground?b) After how many seconds does the ball pass the top of the building on its way down?

Answer:

25%

Explanation:

If there is 20% scrap, then

80% of (production + scrap) = 72 pcs/hr

Now,

[tex]\frac{80}{100} \times (72+scrap)= 72 pcs/hr\\0.80\times (72+Scrap) = 72 \\ 72+Scrap = \frac{72}{0.80}\\72 + Scrap = 90\\Scrap = 18 pcs /hr[/tex]

The percent increase in labor productivity is, [tex]\frac{18}{72} =0.25[/tex].

Or it can be written as  25% of  which would give 80 pieces per hour.                                            

Answer:

D = 6.74 m

Explanation:

Let the f newtons  be the braking force

distance to stop =  x meters

speed =  v m/s

we know that work done is given as

work done W = fx joules

[tex]fx = \frac{1}{2} mv^2[/tex]

If the speed is doubled ,

[tex]fx' = \frac{1}{2} m(2v)^2[/tex]

  [tex] = 4[\frac{1}{2}mv^2] = 4fx[/tex]

stooping distance is D = 4x

[tex]40km/h = \frac{40*1000}{60*60} = 11.11 m/s[/tex]

60 km/hr = 16.66 m/s  

braking force = f

[tex]f*3 =  [\frac{1}{2}mv^2] = [\frac{1}{2}m*11.11^2][/tex]

[tex]f*D = [\frac{1}{2}m*16.66^2][/tex]

[tex]\frac{D}{3} =  \frac{16.66^2}{11.11^2}[/tex]

[tex]\frac{D}{3} = 2.2489[/tex]

D = 6.74 m

Answer:

The answer to your question is: mass = 38.93 kg

Explanation:

Data

mass = ?

Weight = 382 N

gravity = 9.81 m/s2

Formula

Weight = mass x gravity

mass = weight / gravity

mass = 382 / 9.81         substitution

mass = 38.93 kg           result

The mass of a dog that weighs 382 N can be calculated using the weight formula w=mg, rearranged as m=w/g. Substituting the values, we find that the mass of the dog is approximately 39 kg.

To calculate the mass of a dog that weighs 382 N, we use the formula w = mg, where w is weight, m is mass, and g is the acceleration due to gravity, which on Earth is approximately 9.8 m/s². So, to find the mass, we rearrange the formula to m = w/g.

Substituting the given values into the equation, m = 382 N / 9.8 m/s² = 39.0 kg. So, the mass of the dog is approximately 39 kg when rounded to the nearest whole number.

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Answer:hh

The acceleration may point in the opposite direct as the velocity

Explanation:

By definition free-fall is an uniform accelerate movement so speed always is increasing in fact acelertion and velocity always point in the same direction

Answer:

T h e  a c c e l .  e r a t i o n   m a y   p o i n t   i n   t h e   o p p o s i t e   d i r e c t   a s   t h e   v e l o c i t y   .  

Explanation:

Answer:

No the distance traveled in last 0.1 s is not same as that the distance traveled in first 0.1 s

so it will cover more distance in last 0.1 s then the distance in first 0.1 s

Explanation:

As we know that when stone is dropped from the diving board then its velocity at the time of drop is taken to be ZERO

so here we can say that its displacement from the top position in next 0.1 s is given as

[tex]d_1 = v_y t + \frac{1}{2}at^2[/tex]

[tex]d_1 = 0 + \frac{1}{2}(9.81)(0.1)^2[/tex]

[tex]d_1 = 0.05 m[/tex]

Now during last 0.1 s of its motion the stone will attain certain speed

so we will have

[tex]d_2 = v_y(0.1) + \frac{1}{2}(9.81)(0.1)^2[/tex]

[tex]d_2 = 0.1 v_y + 0.05 m[/tex]

so it will cover more distance in last 0.1 s then the distance in first 0.1 s

Final answer:

The distance a rock travels during a 0.1-second interval while falling will vary because of acceleration due to gravity. Early in its fall, it will travel less distance, and just before impact, it will cover more distance due to increased speed.

Explanation:

The distance traveled by a rock in free fall will not be the same in two intervals of time if these intervals occur at different stages of the fall, because the rock is accelerating due to gravity.

Near the top of its flight, it will have just started to accelerate, so it will cover a smaller distance in the first 0.1-second interval. However, just before the rock hits the water, it will have been accelerating for the entire duration of the fall, meaning it will be traveling much faster and will cover a greater distance in the last 0.1-second interval before impact.

Answer:

Technician A says that this is because the front wheel cylinders are closer to the master cylinder than are the rear wheel cylinders.

Explanation:

Since the position of cylinder is near the front wheel so the normal force of the front wheel is more than the normal force on the rear wheel

as we know that the center of mass of the wheel is shifted towards the front wheel as the balancing is done with reference to its center of mass

so we will have

[tex]N_1 d_1 = N_2 d_2[/tex]

also we have

[tex]N_1 + N_2 = W[/tex]

so here we can say

friction force on front wheel will be more

[tex]F_f = \mu N_1[/tex]

so here front wheel has to do more work to stop the vehicle

Technician B is correct; the front brakes do more work because the vehicle's weight shifts to the front during braking due to dynamic load transfer. This is a physics principle related to force and motion, rather than the hydraulic pressure distribution which is equal for all brakes due to Pascal's principle.

Technician B suggests that the front brakes do more work than the rear brakes because the weight of a vehicle shifts to the front during a stop. This is correct, as deceleration causes the vehicle's weight to transfer to the front due to inertia, resulting in greater pressure on the front brakes. This phenomenon is known as weight transfer or dynamic load transfer. The claim by Technician A that proximity to the master cylinder affects braking force is not accurate, as hydraulic systems utilize Pascal's principle to ensure equal pressure distribution throughout the brake fluid regardless of the distance from the master cylinder.

Answer:

True.

Explanation:

He is correct but what he does not tell is that you will be drown. Your life preserver will submerge and displace more water than those of your friends who float at the surface. Although buoyant force on you will be greater , the net downward force on you will still be greater.  Hence you will be drown inside the water.  

Answer:

[tex]2LiBr+Pb(NO_3) = PbBr_2+ 2LiNO_3[/tex]  is a double displacement reaction

Explanation:

[tex]2LiBr+PbNO_3 = PbBr_2+2LiNO_3[/tex]

                                                       It is of the form [tex]AX+BY = AY+BX[/tex]

                                                       [tex]Fe+2HCl = FeCl_2+H_2[/tex]

Both oxidation and reduction occur in this reaction. Fe gets oxidized and H gets reduced.

                                          [tex]Fe = Fe^(2+)+2e^-[/tex]

                                          [tex]2H^++2e^- = H_2[/tex]

                                          [tex]CaO+H_2 O = Ca(OH)_2[/tex]

It is an exothermic combination reaction. Calcium reacts with water to produce calcium hydroxide and heat is released in this process.

It is a decomposition reaction where nickel chloride decomposes to nickel and chlorine.

Answer:

18. Double Displacement Reaction

19. Single Displacement Reaction

20. Synthesis Reaction

21. Decomposition Reaction

Explanation:

Double Displacement formula:

AB + CD --> AD + CB

Single Displacement formula:

A + BC --> AC + B

Synthesis formula:

A + B --> AB

Decomposition formula:

AB --> A + B

Answer:

C) about 1/10 as great.

Explanation:

We use the relation between Impulse, I, and momentum, p:

[tex]I=\Delta p\\ F*t=m(v_{f}-v{o})\\ \\[/tex]

[tex]F=m(v_{f}-v{o})/t=-mv{o}/t\\ \\[/tex]     the final speed is zero

We can see that the average Force is inversely proportional to the time, so if the time is 10 times bigger, the average Force is 1/10 as great

Average force body experience is about 1/10 as great as  when the legs are kept stiff

from Newtons second law, force. f is the product of mass, m and acceleration, a

f = m * a

a = ( v - u ) / t

f = m * ( v- u ) / t

so force is inverrsely related to time, making the time of the impact 10 times as great as stiff-legged landing impiles mathematically as follows:

for stiff-legged

f1 = m * ( v - u ) / t

for bent knees

f2 = m * ( v - u ) / 10t

f2 = f1 / 10

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Answer:

35 meters

Explanation:

The river flows at 2 m/s from North to South and motor can propel the boat at 5m/s. As the downstream direction is positive, we are considering the river flow also propels the boat adding its speed to the boat. It means the boat and the person in the inner tube are in fact moving at 7 m/s. Distance can be calculated as follows:

[tex]v = d/t[/tex]  ⇒[tex]d = vt[/tex] ⇒[tex]d = 7\frac{m}{s}x5s[/tex]

[tex]d = 35m[/tex]

The motorboat will cover a distance of 35 meters downstream in 5 seconds. This is calculated by adding the boat's velocity relative to the water (5 m/s) to the velocity of the river current (2 m/s), giving a resultant velocity of 7 m/s and multiplying it by the time interval.

We need to calculate the distance the motorboat will cover downstream in a 5-second interval. The speed of the river current is 2 m/s and the speed of the motorboat relative to the water is 5 m/s. Since we are considering the downstream direction as positive, the boat's velocity relative to an observer on the shore would be the sum of these two speeds.

The boat's speed relative to the shore (resultant velocity) is:

Velocity of the boat relative to the shore = Velocity of the boat relative to the water + Velocity of the river = 5 m/s + 2 m/s = 7 m/s

The distance covered by the boat over a period of 5 seconds would be:
Distance = Velocity × Time = 7 m/s × 5 s = 35 m

Therefore, the motorboat will move 35 meters downstream as observed by someone outside of the water, like the person in the inner tube.

Answer:

- 3.33 m /s

Explanation:

m1 = 5 kg

m2 = 10 kg

u1 = 10 m/s

u2 = - 10 m/s

Let the velocity of the combination of the blob is v.

Use the conservation of momentum

[tex]m_{1}u_{1}+m_{2}u_{2}=\left ( m_{1}+m_{2} \right )v[/tex]

5 x 10 - 10 x 10 = (5 + 10)v

50 - 100 = 15 v

v = - 3.33 m /s

Thus, the velocity of the blob after sticking together is - 3.33 m/s.

Answer:

The acceleration of the object is 9.3 m/s²

Explanation:

For a straight movement with constant acceleration, this equation for the position applies:

x = x0 + v0 t + 1/2 a t²

where

x = position at time t

x0 = initial position

v0 = initial velocity

a = acceleration

t = time

we have two positions: one at time t = 1 s and one at time t = 2 s. We know that the difference between these positions is 14.0 m. These are the equations we can use to obtain the acceleration:

x₁ = x0 + v0 t + 1/2 a (1 s)²

x₂ = x0 + v0 t + 1/2 a (2 s)²

x₂ - x₁ = 14 m

we know that the object starts from rest, so v0 = 0

substracting both equations of position we will get:

x₂ - x₁ = 14

x0 + v0 t + 1/2 a (2 s)² - (x0 + v0 t + 1/2 a (1 s)²) = 14 m

x0 + v0 t + 2 a s² - x0 -v0 t - 1/2 a s² = 14 m

2 a s² - 1/2 a s² = 14 m

3/2 a s² = 14 m  

a = 14 m / (3/2 s²) = 9.3 m/s²

The constant acceleration of the object is 9.33 m/s².

The given parameters;

The acceleration of the object is calculated by applying the second kinematic equation as follows;

s = ut  +  ¹/₂at²

where;

at t = 1.0 s

x₁ = 0  +   ¹/₂(1²)a

x₁ =  ¹/₂(a)

at t = 2.0 s

x₂ = 0 +  ¹/₂(2²)a

x₂ = 2a

The change in position;

Δx = x₂ - x₁ = 14

14 = 2a -  ¹/₂(a)

[tex]14 = \frac{3a}{2} \\\\3a = 2(14)\\\\3a = 28\\\\a = \frac{28}{3} = 9.33 \ m/s^2[/tex]

Thus, the constant acceleration of the object is 9.33 m/s².

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Answer:

The distance travelled is 151.22m and it took 0.97s

Explanation:

Well, this is an ARM problem, so we will need the following formulas

[tex]x(t)=x_{0} +v_{0} *(t-t_{0} )+0.5*a*(t-t_{0} )^{2}[/tex]

[tex]v(t)=v_{0} +a*(t-t_{0} )[/tex]

where [tex]x_{0}[/tex] is the initial position (we can assume is zero), [tex]v_{0}[/tex] is the initial speed of 104 m/s, [tex]t_{0}[/tex] is the initial time (we also assume is zero), a is the acceleration of 107 m/s2, v is speed, x is position and t is time.

Now that we have the formulas, we know that when the electron stops it has no speed. Then we calculate how much time it takes to stop.

[tex]0=104m/s-107m/s^{2} *t\\t=0.97s[/tex]

Finally, we calculate the distance travelled in this time

[tex]x(0.97s)=104m/s*0.97s+0.5*107m/s^{2}*(0.97s)^{2}=151.22m[/tex]

Answer:

Part a)

[tex]d = 5 m[/tex]

Part b)

[tex]T = 2\times 10^{-3} s[/tex]

Explanation:

Part a)

The electron will move in this forbidden region till its speed will become zero

So here we will have

[tex]v_f = 0[/tex]

[tex]v_i = 10^4 m/s[/tex]

also its deceleration is given as

[tex]a = - 10^7 m/s^2[/tex]

so we will have

[tex]v_f^2 - v_i^2 = 2 a d[/tex]

[tex]0 - (10^4)^2 = 2(-10^7) d[/tex]

[tex]d = 5 m[/tex]

Part b)

Now the time till its speed is zero

[tex]v_f - v_i = at[/tex]

[tex]0 - 10^4 = -10^7 t[/tex]

[tex]t = 10^{-3} s[/tex]

so total time that it will be in the region is given as

[tex]T = 2 t[/tex]

[tex]T = 2\times 10^{-3} s[/tex]

Answer:

A. Scatterplot

Explanation:

because it is

Answer:

No, it is impossible

Explanation:

Kinematics equation:

[tex]Vf^{2} =Vo^{2} -2gy[/tex]

if height is maximum:

y=H and Vf=0

so:

Analysis: From the last equation we see that the maximum height depends ONLY on the initial speed. This means that if both objects reach the same maximum height, then they necessarily need to have the SAME initial velocity. If they have the same initial velocity and in order to reach the maximum height at the SAME time the only way is that they are released at the SAME TIME.

Answer:

the potential energy increases and the electric potential increases

Explanation:

we know here that Voltage i.e. (Electric potential) increases from the initial point  to the final point

consider if 2 object of different charge 1 is twice the charge of other moveing in same distance in electric filed

than object of twice the charge require twice the force so twice amount of work

This work change the potential energy by  equal amount of work done

so electric potential energy is depend on the amount of charge on object

so if work being done on a positive test charge by an external force in moving the charge from one location to another

the potential energy increases and the electric potential increases

When a positive test charge is moved from one location to another, the potential energy increases and the electric potential energy increases.

The work done in moving a unit positive test charge from infinity to a certain point in the electric field is known as potential energy.

V = E x d

V = (F/q) x d

where;

Thus, when a positive test charge is moved from one location to another, the potential energy increases and the electric potential energy increases.

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Answer:

  a.  17.0 m²

Explanation:

The product of the two dimensions is 16.99013 m². The least precise contributor has 3 significant figures, so the most precise result available is one with 3 significant figures: 17.0 m².

__

Additional comment

Given that each measurement may be in error by 1/2 of a least-significant digit, their product can be as little as 16.9700025, or as great as 17.0102625. This amounts to 16.9901325 ± 0.0201300. The value 17.0 suggests a range from 16.95 to 17.05, which exceeds the actual range possible with the given measurements. On the other hand, a 4 significant-figure value (16.99) suggests a much smaller range in the product than there may actually be: (16.985, 16.995)

... prejudice based on misogyny.

Also a good bit of stupidity.

Answer:

V=20cm/s

Explanation:

The average speed is the distance total divided the time total:

[tex]V=X/T[/tex]

First stage:

T1=5s

[tex]v_{f}  =v_{o} - at[/tex]

But, [tex]v_{f}  =0[/tex]   (decelerates to rest)

then: [tex]a =v_{o} /t=0.3/5=0.06m/s^{2}[/tex]

on the other hand:

[tex]x =v_{o}*t - 1/2*at^{2}=0.3*5-1/2*0.06*5^{2}=0.75m[/tex]

X1=75cm

Second stage:

T2=5s

[tex]x =v_{o}*t + 1/2*at^{2}=0+1/2*0.1*5^{2}=1.25m[/tex]

X2=125cm

Finally:

X=X1+X2=200cm

T=T1+T2=10s

V=X/T=20cm/s

The average speed of the particle is 20 centimetre per second.

Average speed is given as total distance covered by the particle divided by the total time of the journey.

The particle decelerates from 30 cm/s to rest (0 cm/s) in 5.0 s. Hence, the deceleration can be given as,

a = (0 - 30 cm/s) / 5 s = - 6 cm/s²

From the kinematic equation:

s = ut + [tex]\frac{1}{2}at^2[/tex], where s = displacement, a = acceleration, t = time, and u = initial velocity of the particle, we can determine the displacement.

so, s = (30 cm/s) (5 s) - [tex]\frac{1}{2} (6 cm/s^2)(5 s)^2[/tex] = 150 cm - 75 cm = 75 cm

The particle then accelerates uniformly at 10 cm/s² for another 5.0 s. The final velocity after this period is given as:

v = u + at

Here, u = 0 cm/s, a = 10 cm/s². t = 5s. Hence,

v = (10 × 5) m/s = 50 cm/s

Using the kinematic equation:

v² = u² + 2as, we get:

(50 cm/s)² = 2 (10 cm/s²) s

or, s = 125 cm

Total displacement of the particle = 75 cm + 125 cm = 200 cm

total time of journey = 5s + 5s = 10s

so, average velocity = 200 cm / 10 s = 20 cm/s

Answer:

Acceleration, [tex]a=2.48\ m/s^2[/tex]

Explanation:

Given that,

The plane is at rest initially, u = 0

Final speed of the plane, v = 72.2 m/s

Time, t = 29 s

We need to find the average acceleration for the plane. It can be calculated as :

[tex]a=\dfrac{v-u}{t}[/tex]

[tex]a=\dfrac{72.2}{29}[/tex]

[tex]a=2.48\ m/s^2[/tex]

So, the average acceleration for the plane is [tex]2.48\ m/s^2[/tex]. Hence, this is the required solution.

Answer:

yes

Explanation:

because when you slow down, the resistance slows with the speed.

Answer:

Yes, air resistance decrease with speed

Explanation:

Air resistance is a kind of fluid friction that acts when objects flow through fluids. It is affected by the velocity of moving objects and the area of the objects. When an object moves with a greater velocity the air resistance acting on them will be high, so the speed decreases.

Fluid friction acts in fluids namely liquids and gases. In liquids the friction is called buoyancy and in gases it is called air resistance or drag. When two objects having the same mass but different area move through air, the object with larger area will have less velocity compared with the other object.

The electrostatic constant is also known as Coulomb's constant or the electric constant. Its unit is [tex]\rm \frac{Nm^2}{C^2}[/tex].

It is a fundamental physical constant that appears in Coulomb's law, which describes the interaction between electric charges. It's denoted by the symbol K.

Given information:

Unit of force (F) = Newton

Unit of charge (Q) = Coloumb

Unit of distance (r) = Meters

Now,

On substituting the values of given units:

[tex]\rm F = \frac{Kq_1q_2}{r^2}\\N =\frac{K C\times C}{m^2}\\N = \frac{K C^2}{m^2}\\K = \frac{Nm^2}{C^2}[/tex]

The unit of electrostatic constant (K) is [tex]\rm \frac{Nm^2}{C^2}[/tex]. This constant (K) plays a crucial role in understanding and calculating the forces and interactions between charged particles in the realm of electrostatics.

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Final answer:

The unit for the electrostatic constant k is Newton meters squared per Coulomb squared (N·m²/C²), and k is also known as Coulomb's constant with a value of approximately 8.99 × 10⁹ N·m²/C².

Explanation:

The unit for the electrostatic constant k in the formula F = k[tex]q_{1}[/tex][tex]q_{2}[/tex] /r² can be determined by rearranging the formula to solve for k, which gives us k = Fr² / [tex]q_{1}[/tex][tex]q_{2}[/tex] . Since the unit for the electrostatic force F is Newtons (N), the distance r is in meters (m), and the charge [tex]q_{1}[/tex]and [tex]q_{2}[/tex] are in Coulombs (C), the units for k would be Newton meters squared per Coulomb squared (N·m²/C²). The value of the electrostatic constant k is approximately 8.99 × 10⁹ N·m²/C², also known as Coulomb's constant.

Answer:

The required radius of its motion is [tex]0.084m[/tex].

Explanation:

The formula for calculating the required  radius of its motion is given by

[tex]F = (mv^2)/r[/tex]

Where m= mass  

V= moving velocity

F=frictional force

r = radius of its motion

Then the required radius of its motion is given by

[tex]r =(mv^2)/F[/tex]

Given that

mas =0.0818 kg

Frictional force= 0.108 N

Moving with Velocity of  = 0.333 m/s

radius of its motion = [tex]\frac{[0.0818 kg \times (0.333 m/s)^2]}{0.108 N}[/tex]

Hence the required radius of its motion is r = [tex]8.4 cm=0.084m[/tex]

Answer:

0.084

Explanation:

Acellus

Answer:

Part a)

[tex]\Delta x = 36.35 m[/tex]

Part b)

height will be 107.2 m

Part c)

[tex]t = 1.78 s[/tex]

Explanation:

Initial velocity of the ball is given as

v = 7.90 m/s

angle of projection of the ball

[tex]\theta = 23^o[/tex]

now the two components of velocity of ball is given as

[tex]v_x = 7.90 cos23 = 7.27 m/s[/tex]

[tex]v_y = 7.90 sin23 = 3.09 m/s[/tex]

Part a)

Since ball strike the ground after t = 5 s

so the distance moved by the ball in horizontal direction is given as

[tex]\Delta x = v_x \times t[/tex]

[tex]\Delta x = 7.27 (5)[/tex]

[tex]\Delta x = 36.35 m[/tex]

Part b)

Now in order to find the height of the ball we can find the vertical displacement of the ball

[tex]\Delta y = v_y t + \frac{1}{2}at^2[/tex]

[tex]\Delta y = (3.09)(5) - \frac{1}{2}(9.81)(5^2)[/tex]

[tex]\Delta y = -107.2 m[/tex]

So height will be 107.2 m

Part c)

when ball reaches a point 10 m below the level of launching then the displacement of the ball is given as

[tex]\Delta y = -10 m[/tex]

so we will have

[tex]\Delta y = v_y t + \frac{1}{2}at^2[/tex]

[tex]-10 = 3.09 t - \frac{1}{2}(9.81)t^2[/tex]

so we will have

[tex]t = 1.78 s[/tex]

Answer:

The natural, fundamental frequency of this string is 24 hertz.          

Explanation:

Length of the string, l = 2 m

Number of segments, n = 5

Frequency, f = 120 Hz

Let f' is the natural fundamental frequency of this string. The frequency for both side ended string is given by :

[tex]f=\dfrac{nv}{2l}[/tex]

[tex]v=\dfrac{2fl}{n}[/tex]

[tex]v=\dfrac{2\times 120\times 2}{5}[/tex]        

v = 96 m/s

For fundamental frequency, n = 1

[tex]f'=\dfrac{v}{2l}[/tex]

[tex]f'=\dfrac{96}{2\times 2}[/tex]

f' = 24 Hertz

So, the natural, fundamental frequency of this string is 24 hertz. Hence, this is the required solution.

The natural, fundamental frequency of this standing wave is equal to 24 Hertz.

Given the following data:

Length of the string = 2.0 meters.

Number of segments = 5.

Frequency = 120 Hertz.

First of all, we would determine the velocity of the standing wave by using this formula:

[tex]F=\frac{nV}{2L} \\\\V=\frac{2FL}{n} \\\\V=\frac{2 \times 120 \times 2.0}{5}\\\\V=\frac{480}{5}[/tex]

V = 96 m/s.

Now, we can calculate the natural, fundamental frequency by using this formula:

[tex]F'=\frac{V}{2L} \\\\F'=\frac{96}{2 \times 2.0} \\\\F'=\frac{96}{4.0}[/tex]

F' = 24 Hertz.

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Answer:

[tex]Q = \frac{0.068}{E}[/tex]

where E = electric field intensity

Explanation:

As we know that plastic ball is suspended by a string which makes 30 degree angle with the vertical

So here force due to electrostatic force on the charged ball is in horizontal direction along the direction of electric field

while weight of the ball is vertically downwards

so here we have

[tex]QE = F_x[/tex]

[tex]mg = F_y[/tex]

since string makes 30 degree angle with the vertical so we will have

[tex]tan\theta = \frac{F_x}{F_y}[/tex]

[tex]tan30 = \frac{QE}{mg}[/tex]

[tex]Q = \frac{mg}{E}tan30[/tex]

[tex]Q = \frac{0.012\times 9.81}{E} tan30[/tex]

[tex]Q = \frac{0.068}{E}[/tex]

where E = electric field intensity

The net charge on the small plastic ball which is suspended by a string in a uniform is 0.068/E C.

The electric field is the field, which is surrounded by the electric charged. The electric field is the electric force per unit charge.

A point charge on a string in equilibrium with an electric field can be given as,

[tex]E=\dfrac{mg \tan\theta}{Q}[/tex]

Here, (m) is the mass, (g) is acceleration due to gravity, and (Q) is the charge.

A small 12.00 g plastic ball is suspended by a string in a uniform, horizontal electric field.

The ball is in equilibrium when the string makes a 30 degrees angle with the vertical. Thus, by the above formula,

[tex]E=\dfrac{(0.012)(9.81)\tan(30)}{Q}\\Q=\dfrac{0.068}{E}\rm\; C[/tex]

Thus, the net charge on the small plastic ball which is suspended by a string in a uniform is 0.068/E C.

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Answer:

a) heat flows from the warm plate to the cold one

Explanation:

Heat is an expression of energy, the bodies with more heat mean that they have more energy.  In this way, they can share or pass this "excess" of energy to the cold body. Both plates are not in total contact but some part are close enough (they are touching) that the heat can pass from one to the other. Also the heat always need a media to travel, in this case, the air that surrounds the plates is also the media that the heat travels from the hot to the cold one.

Explanation:

Given that,

Electrostatic force, [tex]F=3.7\times 10^{-9}\ N[/tex]

Distance, [tex]r=5\ A=5\times 10^{-10}\ m[/tex]

(a) [tex]F=\dfrac{kq^2}{r^2}[/tex], q is the charge on the ion              

[tex]q=\sqrt{\dfrac{Fr^2}{k}}[/tex]

[tex]q=\sqrt{\dfrac{3.7\times 10^{-9}\times (5\times 10^{-10})^2}{9\times 10^9}}[/tex]      

[tex]q=3.2\times 10^{-19}\ C[/tex]

(b) Let n is the number of electrons are missing from each ion. It can be calculated as :

[tex]n=\dfrac{q}{e}[/tex]

[tex]n=\dfrac{3.2\times 10^{-19}}{1.6\times 10^{-19}}[/tex]

n = 2

Hence, this is the required solution.                        

Answer:

F = 50 N

Explanation:

As we know by Newton's II law

{tex]F = ma[/tex]

force is product of mass and acceleration

so we will have

[tex]m = 500 kg[/tex]

[tex]a = 10 cm/s^2[/tex]

[tex]a = 0.10 m/s^2[/tex]

now we have

[tex]F = 500 \times 0.10 [/tex]

[tex]F = 50 N[/tex]

The magnitude of the rightward net force acting on the object is 50 N.

Force can be defined as the product of mass and acceleration.

To calculate the magnitude of the rightward net force, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The magnitude of the rightward net force acting on the object is 50 N.

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The car will pass the truck after 20 seconds.

To find when the car will pass the truck, we need to determine the time it takes for the car to reach a speed of 25 m/s and the distance traveled by the truck in that time.

The car is accelerating at a rate of 1.25 m/s². Using the equation v = u + at, where v is the final velocity, u is the initial velocity (0 m/s), a is the acceleration, and t is the time, we can solve for t: 25 m/s = 0 m/s + 1.25 m/s² * t.

Simplifying the equation, we get t = 20 seconds. Therefore, the car will pass the truck after 20 seconds.

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