A bookshelf is at rest in a room. A force of 35. 0 newtons is applied to a bookshelf. If the floor imparts a frictional force of 2. 90 newtons, what is the net force acting on the bookshelf?.

Assuming a constant density, the size of an object scales as its mass raised to the power of 1/3 (one-third).

The mass, density, and volume of an object are related by the equation:

ρ = m/Vwhere ρ is the density, m is the mass, and V is the volume.

We can write this equation as

V = m/ρThis equation can be used to find the relationship between the mass and volume of an object of constant density.

Assume that we have two objects of the same material with masses m1 and m2.

We can find the ratio of their volumes by taking the ratio of their masses and density as follows:

V1/V2 = m1/ρ / m2/ρV1/V2 = m1/m2V1/V2 = (m1/m2)^(1/3)

This shows that the ratio of the volumes of two objects with the same density is proportional to the cube root of the ratio of their masses.

This relationship can be expressed as:

V ∝ m^(1/3)

This relationship can also be expressed as the size of an object scales as its mass raised to the power of 1/3.

Know more about constant density here:

https://brainly.com/question/6838128

#SPJ11

The electric potential energy of the particle with a charge of 5nC, located 0.5m away from a charge of 9.5nC, is 1.9 J.

To calculate the electric potential energy, we can use the formula:

Electric potential energy = (k * q1 * q2) / r

Where:

k is the electrostatic constant (9 x 10^9 N m^2/C^2),

q1 and q2 are the charges of the two particles (in this case, 5nC and 9.5nC, respectively),

r is the distance between the charges (0.5m).

Substituting the given values into the formula:

Electric potential energy = (9 x 10^9 N m^2/C^2) * (5 x 10^-9 C) * (9.5 x 10^-9 C) / 0.5m

Calculating the expression:

Electric potential energy ≈ 1.9 J

Therefore, the electric potential energy of the particle is approximately 1.9 Joules.

learn more about electric potential here:

https://brainly.com/question/28444459

#SPJ11

A call can supply circuit of 0. 4A and 0. 2A through a 4ohms and 10 ohms resistor respectively what is the internal resistant of the cellThe internal resistance of the cell is 3 ohms.

According to Ohm's Law, the current in a circuit can be determined using the equation I = V/R, where I is the current, V is the voltage, and R is the resistance. In this case, we have two resistors connected in parallel. Let's assume the voltage of the cell is V.

For the 4-ohm resistor, the current is given as 0.4A. Using Ohm's Law, we can calculate the voltage across the resistor as V1 = I1 * R1 = 0.4A * 4ohms = 1.6V.

For the 10-ohm resistor, the current is given as 0.2A. Using Ohm's Law, we can calculate the voltage across the resistor as V2 = I2 * R2 = 0.2A * 10ohms = 2V.

Since the resistors are in parallel, the voltage across both resistors is the same, so V1 = V2. This means the internal resistance of the cell can be calculated as V = I * r, where r is the internal resistance. Substituting the values, we have 1.6V = 0.4A * r, which gives us r = 1.6V / 0.4A = 4 ohms.

learn more about supply circuit  here:

https://brainly.com/question/32392237

#SPJ11

In the experiment, measuring the total time for 20 complete revolutions and dividing it by 20 to obtain the period of rotation is done to reduce errors and improve the accuracy of the measurement.

Measuring the time for one complete revolution directly can be subject to human reaction time and potential errors in starting and stopping the stopwatch precisely at the beginning and end of each revolution. These errors can accumulate and affect the accuracy of the measurement.

By measuring the total time for 20 complete revolutions and then dividing it by 20, we are essentially averaging out these potential errors over multiple revolutions. This helps to minimize the impact of any individual timing error and provides a more reliable and accurate measurement of the period of rotation.

Additionally, by taking multiple measurements (in this case, 20), we increase the sample size and reduce the influence of outliers or irregularities in any individual measurement. This improves the overall precision and reliability of the calculated period.

Therefore, measuring the total time for multiple revolutions and dividing by the number of revolutions allows for a more accurate determination of the period of rotation in the experiment.

To know more about period here

https://brainly.com/question/30892752

#SPJ4

The missing piece of information required for the correct calculation of velocity is the direction of the displacement.

In order to calculate velocity accurately, we need to have both the displacement and the time. In this scenario, the displacement of 20 meters in 4.7 seconds is provided, but the missing piece of information is the direction of the displacement. Velocity is a vector quantity, which means it includes both magnitude (speed) and direction. To calculate the velocity accurately, we need to know whether Veronica's displacement was in a specific direction (e.g., north, east, etc.) or if it was only given as a magnitude (20 meters) without a direction.

Learn more about velocity  here:

https://brainly.com/question/847745

#SPJ11

To determine the crate's final velocity after 0.5 seconds, we can use the concept of Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.

In this scenario, the stevedore applies a horizontal force of 175 N to move the crate along the dock. However, there is also an opposing force of friction acting in the opposite direction, which has a magnitude of 120 N. The net force is the difference between these two forces, so we can calculate it as follows:

Net force = Applied force - Frictional force

Net force = 175 N - 120 N

Net force = 55 N

Now, using Newton's second law of motion, we can determine the acceleration of the crate. Rearranging the equation, we have:

Net force = mass * acceleration

55 N = 50 kg * acceleration

Solving for acceleration:

acceleration = 55 N / 50 kg

acceleration = 1.1 m/s²

Since we know the initial velocity of the crate is zero (as it starts from rest), and we want to find the final velocity after 0.5 seconds, we can use the equation of motion:

final velocity = initial velocity + (acceleration * time)

Plugging in the values:

final velocity = 0 + (1.1 m/s² * 0.5 s)

final velocity = 0.55 m/s

Therefore, the crate's final velocity after 0.5 seconds is 0.55 m/s. This means that after being subjected to a 175 N force and experiencing 120 N of friction, the crate gains a velocity of 0.55 m/s in the direction of the applied force.

To know more about Velocity visit-

brainly.com/question/30559316

#SPJ11

The loss of heat energy when a 6.4 kg cloud of steam at 150 degrees Celsius hits you and cools to 100 degrees Celsius is 13,440,000 Joules.

To calculate the heat energy loss, we can use the formula:

Q = mcΔT

Where Q represents heat energy, m is the mass of the steam cloud (6.4 kg), c is the specific heat capacity of water (4,186 J/kg°C), and ΔT is the change in temperature (150°C - 100°C = 50°C).

Plugging in the values, we have:

Q = (6.4 kg) × (4,186 J/kg°C) × (50°C)

Q = 13,440,000 Joules

Therefore, the loss of heat energy when the steam cools from 150°C to 100°C is 13,440,000 Joules.

Learn more about heat energy calculations here:

https://brainly.com/question/30320641

#SPJ11

The initial velocity of a projectile launched horizontally can be calculated using the equation of distance covered horizontally (x) = Initial velocity (u)  Time of flight (t). The horizontal component of the initial velocity can be determined by x = u  t, t = 1.63 s, x = 6.5 mu = x / t = 6.5 m / 1.63 su = 3.99 m/s  4.00 m/s.

The initial velocity of the projectile that was launched horizontally can be calculated using the equation below: Distance covered horizontally (x) = Initial velocity (u) × Time of flight (t) where, Time of flight (t) can be found using the formula below: t = [2 × vertical height (h)] / g where ,g is the acceleration due to gravity = 9.8 m/s².The vertical height (h) of the projectile is 8.0 m. So the time of flight of the projectile will bet = [2 × 8.0 m] / 9.8 m/s²t = 1.63 s Therefore, the horizontal component of the projectile’s initial velocity can be determined by: x = u × tt = 1.63 s, x = 6.5 mu = x / t = 6.5 m / 1.63 su = 3.99 m/s ≈ 4.00 m/s. So, the projectile was launched horizontally with a velocity of 4.00 m/s (rounded to the nearest hundredth).Content loaded: The term “content loaded” is used to indicate that the contents of a webpage or app have finished loading and are ready for viewing or use.

To know more about velocity Visit:

https://brainly.com/question/30559316

#SPJ11

Answer:

The mechanical advantage of the screwdriver is 3.

Explanation:

The mechanical advantage can be calculated using the formula: mechanical advantage = output force / input force. In this case, the output force is 75 N (the force applied by the screwdriver to the lid), and the input force is 25 N (the force applied to the screwdriver).

Therefore, the mechanical advantage is:

mechanical advantage = 75 N / 25 N = 3.

Hence, the mechanical advantage of the screwdriver is 3.

Learn more about mechanical advantage here: https://brainly.com/question/32030248

#SPJ11.

When solving the problem of pool game and calculating the magnitude of the final velocity of the cue ball, the correct option is 0.56 m/s.

The following method: Use the principle of conservation of momentum, i.e. momentum before the collision is equal to the momentum after the collision, which is mathematically written as: [tex]$$mv_1+Mv_2=(m + M)v_3$$[/tex]

Where, m is the mass of the cue ball,

M is the mass of the striped ball,

v1 is the velocity of the cue ball before the collision,

v2 is the velocity of the striped ball before the collision, and

v3 is the velocity of the cue ball after the collision.

Using the above formula, we get the final velocity of the cue ball as:

[tex]$$v_3=frac {mv_1+Mv_2}{m+M}$$[/tex]

Plug in the given values, we get,

[tex]$$v_3=frac{0.4*0.80+0.4*0.38}{0.4+0.4}$$[/tex]

Solving for v3, we get [tex]$v_3=0.59$[/tex] m/s Therefore, the magnitude of the final velocity of the cue ball is 0.59 m/s.

To know more about velocity visit :

https://brainly.com/question/18084516

#SPJ11

The length of the browser window (x) is 6. The dimensions of the screen are approximately 3 inches (width) and 18/13 inches (height).

Let's solve the equations step by step:

Part A:

The area of the browser window is given by the equation:

(x - 2) * x = 24

Expanding the equation:

[tex]x^{2}[/tex] - 2x = 24

Rearranging the equation to standard quadratic form:

[tex]x^{2}[/tex] -  2x - 24 = 0

Factoring the quadratic equation:

(x - 6)(x + 4) = 0

Setting each factor to zero:

x - 6 = 0 or x + 4 = 0

Solving for x:

x = 6 or x = -4

Since the length of the monitor cannot be negative, we discard the solution x = -4.

Therefore, the length of the browser window (x) is 6.

Part B:

The dimensions of the screen can be calculated using the length of the monitor (x+7) and the coverage ratio of the browser window (3/13).

The width of the screen is given by:

Width = (3/13) * (x + 7)

The height of the screen is given by:

Height = (3/13) * (x)

Substituting the value of x = 6:

Width = (3/13) * (6 + 7) = (3/13) * 13 = 3

Height = (3/13) * 6 = 18/13

Therefore, the dimensions of the screen are approximately 3 inches (width) and 18/13 inches (height).

To know more about dimensions here

https://brainly.com/question/23246002

#SPJ4

To determine the time it would take Susie to complete the marathon, we can use the formula: Time = Distance / Speed

Given that the distance of the marathon is 26 miles and Susie's steady rate is 8 mph, we can substitute these values into the formula. Time = 26 miles / 8 mph. To calculate the time, we divide 26 miles by 8 mph: Time = 3.25 hours. Since there are 60 minutes in an hour, we can convert the decimal part of the time to minutes: 0.25 hours * 60 minutes/hour = 15 minutes.  Therefore, it would take Susie approximately 3 hours and 15 minutes to complete the marathon.

To learn more about Speed, https://brainly.com/question/28224010

#SPJ11

After the collision, the two objects stick together and move as one. Their total mass is m1 + m2 = 5 kg + m2.

In this case, we can apply the principle of conservation of linear momentum

The initial momentum of the first object (P1_initial) is given by its mass (m1) times its velocity (v1), which is [tex]5 kg * 4 m/s = 20 kg*m/s.[/tex]

Therefore, the total initial momentum [tex](P_{total_initial}) is P1_{initial} + P2_{initial} = 20 kg*m/s - m2 * 5 m/s.[/tex]

After the collision, the two objects stick together and move as one.

Their total mass is m1 + m2 = 5 kg + m2.

Read more on collision here:

https://brainly.com/question/24915434

#SPJ4