Answer:
a) 
b) 
Explanation:
Given:
- efficiency of the motor,

- voltage of the battery,

- mass of the car,

a)
initial velocity, 
final velocity, 
time taken for the acceleration, 
Now we know by the Newton's second law of motion:



Now the power will be :



<u>According to the question:</u>
0.95 times of the electrical power should yield this mechanical power.




b)
height climbed by the car, 
velocity of climb, 
time taken to climb the height, 
force exerted to overcome air and frictional resistances, 
Now the Power required to climb the hill:



<u>Now according to the electrical efficiency:</u>



Answer:
4 m/s
Explanation:
From the law of conservation of momentum,
Total momentum before collision = Total momentum after collision
mu+m'u' = V(m+m')...................... Equation 1
Where m = mass of the arrow, u = initial velocity of the arrow, m' = mass of the apple, u' = initial velocity of the apple, V = Final velocity of the apple and the arrow after collision.
make V the subject of the equation
V = (mu+m'u')/(m+m').................... Equation 2
Given: m = 0.5 kg, m' = 2 kg, u = 20 m/s, u' = 0 m/s(initially at rest)
Substitute into equation 2
V = (0.5×20+2×0)/(2+0.5)
V = 10/2.5
V = 4 m/s.
Hence the final velocity of the apple and the arrow after the collision = 4 m/s
the awnser is a and i hope that helps
Answer: Option A: The spots on the balloon move away as the balloon is inflated.
one of the scientific models describes the galaxies are moving apart as the universe is expanding. This expansion theory came from the observation of red-shifted spectrum from all the directions indicating that the galaxies are moving away. This can be understood from the inflated balloon. Initially spots can be marked using a colored pen on the balloon.On inflating the balloon, it would be noticed that the spots on the balloon move away. Actually the position of the spots won't change, but the distance between the spots would expand. This is a good model to explain the expanding universe. The galaxies are neither moving in any random direction nor moving forward. So, rest of the options are not good models to explain the theory.
Two objects in physical contact with each other are in thermal equilibrium when they reach the same temperature and an exchange of heat energy no longer occurs.<span> According to HyperPhysics, the relation of thermal equilibrium follows the Zeroth Law of Thermodynamics, which states that “if two systems are at the same time in thermal equilibrium with a third system, they are in thermal equilibrium with each other.” </span>