Two identical carts travel at the same speed toward each other, and then a collision occurs. The graphs show the momentum of eac

Answer:

57.94°

Explanation:

We understand that the formula for flux is

where Ф represents flux

           E indicates electric field

           S denotes surface area

        θ signifies the angle between the electric field direction and the surface normal.

It is given that Ф= 78

                          E=

                          S=

                         

 =  

 =0.5306

 θ=57.94°

Answer: a) t = 1.8 x 10^2 seconds; b) t = 54 seconds; c) t = 49 seconds. Explanation: a) To determine the time of a stationary passenger on the sidewalk, we use the position formula. Given the constant speed of the walkway, we can calculate the time taken for set distances accordingly. This calculation extends into cases where combined velocities for walking are involved in subsequent queries.

Answer:

Explanation:

To begin with, we must determine the pressure acting on the sphere, which is calculated using:

where

denotes the atmospheric pressure

represents the density of the water

signifies the acceleration due to gravity

indicates the depth

By substituting these values,

The sphere's radius is calculated as r = d/2 = 1.1 m/2 = 0.55 m

Thus, the sphere's total surface area can be expressed as

Consequently, the inward force acting on the sphere equals

The answer is B. Since the first collision is elastic, both momentum and kinetic energy can be conserved within the system. The coefficient of restitution for an elastic collision is one, and it is often referred to as a perfectly elastic collision. Conversely, in a perfectly inelastic collision, kinetic energy is lost as it transforms into another form, such as internal energy. While momentum remains conserved in an inelastic collision, kinetic energy is not.

Answer:

a, 71.8° C, 51° C

b, 191.8° C

Explanation:

Given the data:

D(i) = 200 mm

D(o) = 400 mm

q' = 24000 W/m³

k(r) = 0.5 W/m.K

k(s) = 4 W/m.K

k(h) = 25 W/m².K

The heat generation formula can be articulated as follows:

q = πr²Lq'

q = π. 0.1². L. 24000

q = 754L W/m

Thermal conduction resistance, R(cond) = 0.0276/L

Thermal conduction resistance, R(conv) = 0.0318/L

Applying the energy balance equation,

Energy In = Energy Out

This equates to q, which is 754L

From the initial analysis, the temperature at the interface between the rod and sleeve is found to be 71.8° C

Additionally, the outer surface temperature records as 51° C

Furthermore, based on the second analysis, the calculated temperature at the center of the rod is determined to be 191.8° C