Question

The largest passenger ship still in service is the SS Norway, which has a mass of 7.6 x 10^6 kg. The force required to accelerate the SS Norway from rest to its top cruising speed of 33 km/h is 1.6 x 10^5N, assuming that this acceleration takes place over a distance of 2.0 km. How much work must be done on the ship during this period of acceleration?

A) 3.2 x 10^9 J
B) 1.06 x 10^9 J
C) 6.4 x 10^8 J
D) 2.12 x 10^8 J

Answer 1

To accelerate the SS Norway to its cruising speed, the work done is calculated as the product of force and distance, yielding 3.2 x 10⁹ joules. Therefore, the correct answer is option A: 3.2 x 10⁹ J.

Step-by-step explanation:

The student has asked how much work must be done to accelerate the SS Norway from rest to its top cruising speed, given a force and a distance. Work done can be calculated using the formula: Work (W) = Force (F) × Distance (d), where Force is the constant force applied and Distance is the displacement over which the force is applied.

Given that the force is 1.6 × 10⁵ N and the distance is 2.0 km (which is 2000 meters), we can plug these values into the formula:

W = (1.6 × 10⁵ N) × (2.0 × 10³ m)

W = (1.6 × 2.0) × (10⁵ × 10³) J

W = 3.2 × 10⁸ J

So, the correct answer would be option A: 3.2 × 10⁹ J.