<u>Complete Question:</u>
Devon has several toy car bodies and motors. The motors have the same mass, but they provide different amounts of force, as shown in this table.
The bodies have the masses shown in this table (refer attached figure).
Which motor and body should Devon use to build the car with the greatest acceleration?
motor 1, with body 1
motor 1, with body 2
motor 2, with body 1
motor 2, with body 2
<u>Answer:</u>
Devon should build the car with motor 2 and body 1 for having the greatest acceleration.
<u>Explanation:</u>
As per Newton's second law of motion, the acceleration of any object is directly proportional to the force on the object and inversely proportional to the mass of the object.
It can be seen that motor 2 has greater force than the force provided by motor 1. Similarly, the mass of body 1 is found to be lesser compared to mass of body 2. So,

It gives, the system with motor 2 and body 1 the maximum acceleration. So the car should be built with motor 2 and body 1.
The electromagnetic radiation produced when a charged particle moves spirally in a magnetic field is called <span>synchrotron radiation. This phenomenon occurs due to the fact the particle is accelerated radially (due to the presence of the magnetic field), and every charged particle when it is accelerated emits electromagnetic radiation.</span>
initial acceleration of rocket is given as
a = 12 m/s^2
h = 26 m
now we can use kinematics to find its speed



now after this it will be under free fall
so now again using kinematics

at maximum height



total height from the ground = 31.8 + 26 = 57.8 m
Part b)
now after reaching highest height it will fall to ground
So in order to find the speed we can use kinematics again



Part c)
first rocket accelerate to reach height 26 meter and speed becomes 24.98 m/s
now we have



after this it will reach to highest point and final speed becomes zero



now from this it will fall back to ground and reach to final speed 33.67 m/s
now we have



so total time is given as
<em>t = 3.44 + 2.55 + 2.1 = 8.1 s</em>
Answer:
Same direction to produce maximum magnitude and opposite direction to produce minimum magnitude
Explanation:
Let a be the angle between vectors A and B. Generally when we add A to B, we can split A into 2 sub vectors, 1 parallel to B and the other perpendicular to B.
Also let A and B be the magnitude of vector A and B, respectively.
We have the parallel component after addition be
Acos(a) + B
And the perpendicular component after addition be
Asin(a)
The magnitude of the resulting vector would be




As A and B are fixed, the equation above is maximum when cos(a) = 1, meaning a = 0 degree and vector A and B are in the same direction, and minimum with cos(a) = -1, meaning a = 180 degree and vector A and B are in opposite direction.