The engine of a 2000 kg Mercedes going up Pike's Peak delivers energy to its drive wheel at the rate 100 kW. Neglecting air resistance, what is the largest speed the car can sustain on the steep Pike's Peak mountain highway, where the road is 30° to the horizontal? The acceleration due to gravity is 10 m/s².

1. 10 m/s

2. 20 m/s

3. 100 m/s

4. 40 m/s

5. 0 m/s

Question

Hailee

Physics

10 June, 12:53

The engine of a 2000 kg Mercedes going up Pike's Peak delivers energy to its drive wheel at the rate 100 kW. Neglecting air resistance, what is the largest speed the car can sustain on the steep Pike's Peak mountain highway, where the road is 30° to the horizontal? The acceleration due to gravity is 10 m/s².

1. 10 m/s

2. 20 m/s

3. 100 m/s

4. 40 m/s

5. 0 m/s

+2

Answers (1)

Know the Answer?

Monique Norton · Answer 1

10 m/s

Explanation:

mass, M = 2000 kg

Power, P = 100 kW = 100000 W

inclination, θ = 30°

g = 10 m/s^2

Let the velocity is v.

P = F x v

where, F is force and v be the velocity

100000 = mg Sin 30 x v

100000 = 2000 x 10 x 0.5 x v

v = 10 m/s

Thus, the speed is 10 m/s.