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Let's go through each question carefully.

### Given Information:
- Car mass, \( m = 1300 \, \text{kg} \)
- Drag coefficient, \( C_D = 0.33 \)
- Frontal area, \( A = 2 \, \text{m}^2 \)
- Coefficient of rolling friction, \( \mu_r = 0.01 \)
- Distance, \( d = 100 \, \text{km} = 100,000 \, \text{m} \)

### Part (a): Rolling Friction
The force due to rolling friction \( F_r \) can be calculated by:
\[
F_r = \mu_r \cdot m \cdot g
\]
where \( g \) is the gravitational acceleration, approximately \( 9.81 \, \text{m/s}^2 \).

1. **Calculate \( F_r \):**
   \[
   F_r = 0.01 \cdot 1300 \cdot 9.81
   \]

2. **Calculate Work/Energy \( E_r \):**
   The work done (or energy required) to overcome rolling friction over distance \( d \) is:
   \[
   E_r = F_r \cdot d
   \]
   This will give the answer in Joules, so we will then convert it to Megajoules by dividing by \( 10^6 \).

---

### Part (b): Aerodynamic Drag
The force due to air drag \( F_d \) is given by:
\[
F_d = \frac{1}{2} \cdot \rho \cdot C_D \cdot A \cdot v^2
\]
where:
- Air density, \( \rho = 1.29 \, \text{kg/m}^3 \)
- Speed, \( v = 60 \, \text{km/h} = 16.67 \, \text{m/s} \)

1. **Calculate \( F_d \):**
   \[
   F_d = \frac{1}{2} \cdot 1.29 \cdot 0.33 \cdot 2 \cdot (16.67)^2
   \]

2. **Calculate Work/Energy \( E_d \):**
   The energy needed to overcome drag force over distance \( d \) is:
   \[
   E_d = F_d \cdot d
   \]
   As with part (a), we’ll convert the answer to Megajoules.

Let's go ahead with these calculations.### Results:

1. **(a)** The energy needed to compensate for rolling friction over a distance of 100 km is approximately **12.75 MJ**.
2. **(b)** The energy needed to compensate for aerodynamic drag over the same distance at a constant speed of 60 km/h is approximately **11.83 MJ**.

Would you like further details on the calculations or have any additional questions?

### Related Questions:
1. How would the energy requirements change if the speed of the car increased to 80 km/h?
2. What would be the effect of a larger frontal area on the drag force and energy consumption?
3. How does the coefficient of rolling friction affect the total energy required over long distances?
4. What impact does a higher car mass have on the rolling friction and overall energy usage?
5. How could reducing the drag coefficient improve the car's energy efficiency at higher speeds?

### Tip:
Reducing either the car’s mass or its drag coefficient can significantly improve fuel efficiency, especially at higher speeds where aerodynamic drag is more influential.

Estimate how much energy is needed to compensate for rolling friction and drag over a distance of 100 km for a car with given parameters.

Calculate the energy required to overcome rolling friction and aerodynamic drag for a car traveling at constant speed over 100 km. Parameters include mass, drag coefficient, rolling friction coefficient, and speed.

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