Two forces are acting on an object, but the net force on the object in 0n. For the net force to be 0n, all the forces acting on the object must cancel each other out. What must must be true for the two forces acting on the object to cancel each other out?

A. The area of the object can be calculated by breaking it down into smaller shapes and adding their areas together. We can see that the object consists of a rectangle and a semicircle :

Therefore, the total area of the object is 12 + 3.53 = 15.53 square inches. Answer:

B. To find the X coordinate of the center of mass, we need to find the centroid of the object. The centroid is the point where the object would balance if it were placed on a pin. The X coordinate of the centroid can be found using the formula:

Where A is the area of each shape and x is the distance from the centroid of each shape to the Y axis.

The centroid of a rectangle is at the center, which is at (3,1). The centroid of a semicircle is at (4/3, 4/3) from the center of the circle.  Therefore, the X coordinate of the centroid of the semicircle is at 3 + (4/3) = 4.33. We can now use the formula to find the X coordinate of the centroid of the object: Xc = (A1x1 + A2x2) / (A1 + A2) = ((6 x 2 x 3) + (1/2 x π x 1.5^2 x 4.33)) / (12 + 3.53) = 2.9 inches.

The Answer:

C. To find the Y coordinate of the center of mass, we can use a similar formula:

The Y coordinate of the centroid of the rectangle is at 0.5, and the Y coordinate of the centroid of the semicircle is at 2/3 from the center of the circle. Therefore, the Y coordinate of the centroid of the semicircle is at 1 + (2/3) = 1.67. We can now use the formula to find the Y coordinate of the centroid of the object: Yc = (A1y1 + A2y2) / (A1 + A2) = ((6 x 2 x 0.5) + (1/2 x π x 1.5^2 x 1.67)) / (12 + 3.53) = 1.07 inches.

The Answer:

Learn More About Semicircle at https://brainly.com/question/12077441

#SPJ11

Answer:

3 every second

Explanation:

The probability that a string of Christmas lights containing 20 lights are wired in series, so that if any light fails, the whole string will go dark = 0.6676 = 66.76%

There are just two conceivable outcomes for each light: either it works or it doesn't. The binomial distribution is utilized to answer this question since the likelihood that a light will operate independently of all other lights.

It's a binomial experiment. Since the bulbs are independent and there is only one way the string can stay lit

The success probability is:

1 -0.02 = 0.98

Hence, the probability that the string of lights will remain bright for 3 years ​is:

(0.98)²₀ = 0.667

= 66.67%

The question is incomplete, it should be:

Merry and bright? A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails, the whole string will go dark. Each light has probability 0.98 of working for a 3-year period. The lights fail independently of each other. Find the probability that the string of lights will remain bright for 3 years.

Learn more about probability here: https://brainly.com/question/13604758

#SPJ4

Because capacitor 1 is longer by two times, V1 has more charge.

The storage of electric charge frequently uses a cylindrical capacitor. It is a particular kind of capacitor with the outline of a cylinder with an inner radius of "a" and an outer radius of "b."

Capacitors are said to be in series when they are connected in a row. The total capacitance of a series of capacitors can be calculated by adding the reciprocals of each capacitor's individual capacitances and then taking the reciprocal of the total.

To know more about series capacitor visit:-

https://brainly.com/question/29311704

#SPJ4

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This is normally taken as the definition of inertia

Answer: energy transformation

Answer:

energy transformation

Explanation:

i hope this is helpful

Answer:

kinetic energy

Explanation:

Answer:

The magnitude of the magnetic force experienced by proton 2 is the same as the force experienced by proton 1 .

Explanation:

→ The protons experience the same force because the magnetic field is the same and their speeds are the same.

This is correct as the magnetic force is independent of the charge of the particle and only depends on the velocity of the charged particle, the strength of the magnetic field, and the angle between the magnetic field and the velocity of the particle.

→ Proton 1 experiences the greater force because it moves at right angles to the magnetic field.

This is not true as the force experienced by a charged particle moving in a magnetic field is given by F = qvBsinθ where θ is the angle between the velocity and magnetic field vectors.

Since the angle between the velocity of proton 1 and the magnetic field is not given, we cannot make this assumption.

→ Proton 2 experiences the greater force because it moves in the same direction as the magnetic field.

This is not true as the force experienced by a charged particle moving in a magnetic field is given by F = qvBsinθ where θ is the angle between the velocity and magnetic field vectors.

Since the angle between the velocity of proton 2 and the magnetic field is not given, we cannot make this assumption.

To know more about protons:

https://brainly.com/question/31178842?

#SPJ11

Answer:

The star must be moving "closer" to the earth because the wave fronts that are being emitted are shifted toward the blue end of the spectrum (they are closer together)

Answer:

0.71s

Explanation:

From Newton's law of motion ;

V =U +gt

V is the final velocity or speed

U is the initial velocity or speed

g is acceleration of free fall due to gravity given as 9.8m/S2

Note when a body moves horizontally down its said to do so with the aid of the force of gravity

Hence the final velocity is aided by gravity.

From the above formula;

t =V-U/ g

t= 12-5/ 9.8 = 0.71s

Answer: .71

Explanation:

Khan academy

Answer:

Below

Explanation:

To convert mm to m all you need to do is divide the value by 1,000

so : 3 / 1,000 = 0.003 meters

Hope this helped!

Answer:

0.4329 seconds

Explanation:

We are given;

Distance; d = 0.635 m

Velocity; v = 3.22 m/s

Angle; θ = 62.9°

To find the time, we have to find the horizontal component of the velocity.

Thus, Vx = 3.22 × cos 62.9

Formula for time is;

t = d/Vx

t = 0.635/(3.22 × cos 62.9)

t = 0.4329 sec

Thus the time he will take to clear the hurdle is 0.4329 sec

Answer:

Option: 3 Speed √

is the right answer

Answer:

Elevate the wound.

Hope this helped!

Answer:

iiiiiiiiiiiiii8iiiiiiiiiiiii

To determine the amount of mechanical energy converted to nonmechanical energy from the instant the block is released from rest to the instant it is no longer in motion, the student can utilize one or both of the graphs provided.

Position vs. Time Graph:

The student can analyze the position vs. time graph to identify the time at which the block comes to a stop. At this point, the displacement on the graph will be zero, indicating that the block has reached its maximum displacement and is no longer moving. By noting the corresponding time value, the student can determine the time interval during which the block was in motion.

Velocity vs. Time Graph:

The student can examine the velocity vs. time graph to observe the change in velocity of the block over time. As the block comes to a stop, the velocity will decrease until it reaches zero. The area under the velocity vs. time graph from the starting point to the point where the velocity becomes zero represents the amount of mechanical energy converted to nonmechanical energy. The student can calculate this area by finding the integral of the graph within the specified time interval.

Learn more about mechanical energy

https://brainly.com/question/29509191

#SPJ4

Answer:

\(a=0.1\ m/s^2\)

Explanation:

Given that,

Initial velocity, u = 0

Final velocity, v = 2 m/s

Time, t = 20 s

We need to find the acceleration of the swimmer. The acceleration of an object is equal to the change in velocity per unit time. It can be given by :

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{2\ m/s}{20\ s}\\\\a=0.1\ m/s^2\)

So, her average acceleration of the swimmer is \(0.1\ m/s^2\).

Answer: The answer is D. Thermal Energy.

Explanation:

Thermal energy is a type of kinetic energy owing to the fact that it results from the movement of particles.

Answer:

Friction is a force that resists the relative motion of two bodies in direct contact, such as the box and the carpet.

Answer:

C. A baseball bat strikes a baseball.

Explanation:

Newton's second law of motion states that acceleration happens when force is applied on the mass.

A baseball bat strikes a baseball is the best example of Newton's second law of motion because acceleration of the baseball is directly proportional to the force by which baseball bat hit it.

Hence, the correct option is 'C. A baseball bat strikes a baseball.'

Answer:

Baseball bla

Explanation:

yes

A soccer ball sitting on top of a hill.

Kinetic energy is energy that possesses due to its motion. Basically, a moving object has kinetic energy.

Potential energy is the energy held by an object due to its position relative to other object. Which means it has the possibility (potential) to become kinetic energy, but at that moment where it’s not moving, it’s potential energy.

Answer:

Explanation:

(i) The speed after 3 seconds is 28 m/s. (ii) The distance travelled in 3 seconds is 54 meters.

To solve this problem, use the equations of motion for uniformly accelerated motion.

(i) To find the speed after 3 seconds,  use the equation:

v = u + at

where:

v = final velocity

u = initial velocity

a = acceleration

t = time

Given:

u = 16 m/s

a = 4 m/s²

t = 3 seconds

Substituting the values into the equation:

v = 16 m/s + 4 m/s² × 3 s

v = 16 m/s + 12 m/s

v = 28 m/s

Therefore, the speed after 3 seconds is 28 m/s.

(ii) To find the distance travelled in 3 seconds, use the equation:

s = ut + (1/2)at²

where:

s = distance

u = initial velocity

t = time

a = acceleration

Given:

u = 16 m/s

a = 4 m/s²

t = 3 seconds

Substituting the values into the equation:

s = 16 m/s × 3 s + (1/2) × 4 m/s² ×  (3 s)²

s = 48 m + 6 m

s = 54 m

Therefore, the distance travelled in 3 seconds is 54 meters.

Find out more on speed and distance here: https://brainly.com/question/26046491

#SPJ1

Answer:

a

 \(\theta _2 = 13^o\)

b

 \(\theta _1 =32.94^o\)

c

 \(\theta_c = 53.05^o\)    

Explanation:

From the question we are told that

    The angle of incidence is  \(\theta_1 = 10^o\)

    The refractive index of water is  \(n_1 = 1.3\)

  Generally Snell's law is mathematically represented as

          \(n_1 sin(\theta_1) = n_2 sin(\theta_ 2)\)

Here \(n_2\) is the refractive index of air with value  \(n_2 = 1\)

         \(\theta_2\)  is the angle of refraction

So  

        \(\theta _2 = sin^{-1}[\frac{n_1 * sin(\theta _1)}{n_2} ]\)

=>     \(\theta _2 = sin^{-1}[\frac{1.3 * sin(10)}{1} ]\)

=>     \(\theta _2 = 13^o\)

Given that the angle should not be greater than \(\theta _2 =45^o\)  then the angle of incidence will be

       \(\theta _1 = sin^{-1}[\frac{n_2 * sin(\theta _2)}{n_1} ]\)

=>     \(\theta _1 = sin^{-1}[\frac{1 * sin(45)}{1.3} ]\)

=>     \(\theta _1 =32.94^o\)

Generally for critical angle is mathematically represented as

        \(\theta_c = sin^{-1}[\frac{n_2}{n_1} ]\)

=>     \(\theta_c = sin^{-1}[\frac{1}{1.3} ]\)  

=>     \(\theta_c = 53.05^o\)            

The box accelerates down the incline at 2.4m/s^2.

A mass m particle will slide down a smooth inclined plane if it is released onto it with a friction force F=0. We resolve in the direction of motion to determine the particle's acceleration as it slides. F = ma, mg cos(90) = ma, gg cos(90) = a, gg sin() = a.

By using zigmaFx = max, we will determine the acceleration.

However, we must first determine the friction force Ff.

Because cos 30 degree = 0.866 and Fy = ma y = 0 result in FN - 0.87mg = 0, we may calculate FN as (0.87)(20Kg)(9.81 m/s2) = 171N.

From Ff = mue FN = 0.30)(171 N)= 51N, we can now calculate Ff.

We get Ff - 0.50mg = ma x 51N - (0.50)(20)(9.81)N = (20kg)(ax) from the expression zigmaFx = max, where ax = -2.35 m/s2.

At 2.4 m/s2, the box quickens its descent of the hill.

To learn more about acceleration refer to:

https://brainly.com/question/460763

#SPJ1

Answer:

140km/h

Explanation:

Average speed= Distance/Time

= 210/1.5

= 140 I'm/h

Answer:

11 cm and concave

Explanation:

edge 2021

Answer:

it is -21, The top part is correct it is only the second part this is the first part.

Explanation:

The theoretical efficiency is greater than that of the actual efficiency of the engine. This is because heat engine always produces some waste heat.

The Second Law of Thermodynamics states that a heat engine cannot be 100% efficient. In practice, a heat engine is only 100% efficient when it is operating at about 30-50% efficiency.

If we were to multiply this by 100, we would get the efficiency as a percent: 49%. This is the theoretical maximum efficiency. If we were to actually build an engine, it would be less efficient than the theoretical engine. The theoretical engine that can achieve this theoretical maximum efficiency is called the Carnot Engine.

To learn more about the heat engine, refer to the link:

https://brainly.com/question/13155544

#SPJ4