Answer: (c) 2000 N
Explanation:
Given Data :
▪ Initial velocity = zero ( body is at rest)
▪ Distance travelled = 100m
▪ Final kinetic energy = 200000J
To Find :
▪ Resultant force acting on the car.
Therefore:
W = F × d = ΔK ----------------- eq 1.
where,
W = work done
F = applied force
d = distance
ΔK = change in kinetic energy
Calculation :
→ F × d = Kf - Ki ----------------- eq 2.
Where:
Kf = Final kinetic energy = 200000
Ki = initial kinetic energy = 0
Substituting our values into the formula from equation (2)
→ F × 100 = 200000 - 0
→ F = 200000/100
→ F = 2000N
One thing you should notice. It is kind of weird. Ke has no direction so that fact that it has velocities associated with it does not matter. It becomes a scaler (something measured by amount alone).
General Formula
Ke = 1/2 m v^2
Formula for this problem
Ke = 1/2 m (v2)^2 - 1/2 m (v1)^2
Givens
m = 1200 kg
v2 = 100 km/hr = 100 km/h * [1 hour / 3600 sec] * [1000 m/ 1km] = 27.8 m/s
v1 = 50 km / hr = 13.9 m/s
Substitution and work.
================
delta Ke = 1/2 1200 (27.8)^2 - 1/2 1200 (13.9)^2
delta Ke = 463704 - 115926
delta Ke = 34778 Joules
delta Ke = 34.8 kJ
The change is 34.8 kJ which means that the vehicle gains 34.8 kJ
Missing question:
"Determine (a) the astronaut’s orbital speed v and (b) the period of the orbit"
Solution
part a) The center of the orbit of the third astronaut is located at the center of the moon. This means that the radius of the orbit is the sum of the Moon's radius r0 and the altitude (

) of the orbit:

This is a circular motion, where the centripetal acceleration is equal to the gravitational acceleration g at this altitude. The problem says that at this altitude,

. So we can write

where

is the centripetal acceleration and v is the speed of the astronaut. Re-arranging it we can find v:

part b) The orbit has a circumference of

, and the astronaut is covering it at a speed equal to v. Therefore, the period of the orbit is

So, the period of the orbit is 2.45 hours.
Highest fluid potential energy: answer A
Because the fluid is pushed upwards and potential energy is function of height. Since point A is the highest, there is the highest potential energy.
highest fluid pressure: answer C
This is because it is at the bottom where you have a hydrostatic pressure component
increasing fluid speed: answer B
This is because the section of the pipe is smaller and in order to have the same fluid flow rate the speed must increase
Displacement can be defined as the overall change in the position of the object. The displacement of the car in 5 hrs is 0 km.
Displacement:
It is a vector quantity that is defined as the overall change in the position of the object.
The formula for displacement is:

Where,
- total displacement
- final position
- initial position
In the given graph:
- Car displaces 15 km in 2 hrs
- Car displaces 20 km in 4 hrs.
- The car moves back to the initial position in 5 hrs.
Therefore, the displacement of the car in 5 hrs is 0 km.
Learn more about Displacement:
brainly.com/question/10919017