Response:
AB = 100 km; BC = 80 km; AC = 180 km
Time of arrival = 11:30
Reasoning:
1. Distance from A to B
(a) Duration of travel
Duration = 10:00 - 8:00 = 2.00 hours
(b) Distance
Distance = speed × time = 50 km/h × 2.00 h = 100 km
2. Distance from B to C
Distance = 80 km/h × 1 h = 80 km
3. Summary of Distances
AB = 100 km
BC = 80 km
AC = 180 km
4. Time of Arrival
Departure from A = 08:00
Travel duration to B = 2:00
Arrival at B = 10:00
Waiting time at B = 0:30
Departure from B = 10:30
Travel duration to C = 1:00
Arrival at C = 11:30
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 final mass will be slightly lower due to evaporation. I learned this back in third grade, so it's surprising you're in high school and don't know this.
Answer:
The pen requires 7.2 mJ of energy to extend.
Explanation:
Provided:
Length = 1.8 cm
Spring constant = 300 N/m
Initial compression = 1.0 mm
Additional compression = 6.0 mm
Total compression = 1.0 + 6.0 = 7.0 mm
We need to determine the energy needed
This energy is equivalent to the variation in spring potential energy


Substitute the values into the formula



Therefore, a total of 7.2 mJ is needed to extend the pen.