A pesticide was applied to a population of roaches, and it was determined that the LD50 was 55mgkg. If the average mass of a roa

(a) 29,905 m/s

The speed of Earth's orbit around the Sun can be obtained by dividing the total distance of the orbit by the duration of the orbital period:

where

represents the radius of the orbit

is the period taken for a complete orbit by Earth

By plugging values into this formula, we can calculate the orbital speed:

(b)

The centripetal acceleration that Earth experiences as it is drawn toward the sun is called radial acceleration:

where

v = 29,905 m/s is the orbital speed

is the radius of the orbit

By inserting into the relevant equation, we can derive:

(c) 6,801 m/s

For the planet Uranus, we can determine:

is the radius of its orbit

is the time it takes for one complete orbit

Thus, the orbital speed is calculated as:

(d)

For Uranus, with v = 6,801 m/s marking the orbital speed

is the orbital radius

Thus, the radial acceleration can be expressed as:

Heat capacity of A is three times that of B

and the initial temperature for A is twice that of B

with TA = 2 TB

Let T denote the final temperature of the system.

The heat lost by A equals the heat gained by B:

mass of A x specific heat of A x (TA - T) = mass of B x specific heat of B x ( T - TB)

which simplifies to heat capacity of A x ( TA - T) = heat capacity of B x ( T - TB)

resulting in 3 x heat capacity of B x ( TA - T) = heat capacity of B x ( T - TB).

This leads us to the equation: 3 TA - 3 T = T - TB

which rearranges to yield 6 TB + TB = 4 T

thus giving us T = 1.75 TB

With all forces acting on the bullets balanced, the resultant force on a bullet becomes zero, leading to zero acceleration and establishing a state identified as constant velocity. The bullet maintains a steady velocity. Since acceleration signifies the change in velocity over time, having no acceleration indicates a constant velocity.

Conclusion:

The total net force acting on the objects is 16 N, directed towards the right.

Clarification:

It is stated that,

The force exerted by the dog, (to the right)

The force exerted by Simone, (backward)

Here, assume the backward direction is negative and the right direction is positive.

The net force will move in the direction where the larger force is present. The net force can be calculated as:

F = 16 N

Thus, the net force amounts to 16 N, acting towards the right.

 I don't know that; sorry, I should just be removed from here.