**Answer:**

E) be two times larger.

**Explanation:**

As we know that the relation between the resistance and the resistivity of the wire is given as:

where:

resistivity of the wire

length of wire

area of wire

resistance

Now, when the length of the wire is four times the initial length then for the resistance to remain constant:

where:

area of the new wire

we know that area of the cross section of wire is given as:

Hence the radius must be twice of the initial radius for the resistance to be constant when length is taken four times.

vf^2=vi^2+2ad -> 18.3^2 = 24.5^2 + 2*-42*d ->

334.89 = 600.25 - 84d -> -265.36 = -84d ->

3.159 = displacement = answer

A parallel circuit - there are multiple branches at which current is able to to be pushed around the circuit.

**Answer:**

361.8 J

**Explanation:**

= Pulling force applied on the sled by the child = 55 N

= Angle between the direction of pulling force and displacement = 20 deg

= Displacement of the system = 7.0 m

= Work done by the child's pulling force

We know that work done is given as