Answer:
The current halves
Explanation:
The relationship between voltage, current and resistance in a circuit is given by Ohm's law:

where
V is the voltage
R is the resistance
I is the current
We can rewrite the formula as

we see that I is directly proportional to V and inversely proportional to R. In this problem, V is held constant while R is doubled:

so, the new current in the circuit will be

So, the current halves.
Answer:
The centripetal force will be 1/2 as big as it was. (option c)
Explanation:
Recall that centripetal force (
) is defined as:
where "v" is the tangential velocity of the object in circular motion, "r" is the radius of rotation and "m" is the object's mass.
So if we start with such formula with a given mass, radius, and tangential velocity, and then we move to a situation where everything stays the same except for the radius which doubles, then the new centripetal force (
) will be given by: 
and this is half (1/2) of the original force:

which is expressed by option "c" of the provided list.
Initial momentum = 0.15 kg * (-5 m/s) = - 0.75 N*s
final momentum = 0.15 * ( 3 m/s) = 0.45 N*s
Change in momentum = final momentum - initial momentun =
= 0.45N*s - (- 0.75N*s) = 1.2 N*s
Answer: 1.2 N*s
<span>We can assume that the horizontal surface has no friction and the pulley is massless. We can use Newton's second law to set up an equation.
F = Ma
F is the net force
M is the total mass of the system
a is the acceleration
a = F / M
a = (mb)(g) / (ma + mb)
a = (6.0 kg)(9.80 m/s^2) / (6.0 kg + 14.0 kg)
a = 58.8 N / 20 kg
a = 2.94 m/s^2
The magnitude of the acceleration of the system is 2.94 m/s^2</span>
about 5 watts (5W) of power