Which cart has the greatest kinetic energy? a. m = 1 kg, v = 3 m/s b. m = 3 kg, v = 1 m/s c. m = 3 kg, v = 2 m/s d. m = 4 kg, v = 1 m/s

We will individually calculate the Kinetic Energy of each of the carts and compare them

Cart A:

m = 1 kg  ,   v = 3 m/s

KE = 1/2 mv²

KE = 9/2 = 4.5 J

Cart B:

m = 3 kg  ,  v = 1m/s

KE = 1/2 mv²

KE = 3/2 = 1.5 J

Cart C:

m = 3 kg   ,   v = 2 m/s

KE = 1/2 mv²

KE = 6 J

Cart D:

m = 4 kg   ,   v = 2 m/s

KE = 1/2 mv²

KE = 2 J

Therefore, Cart C has the most Kinetic energy

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.