Final answer:
The correct answer is D) 20,000 sin(15°) N.
Step-by-step explanation:
The question involves calculating the component of the gravitational force acting parallel to the slope on which the truck is parked. The force due to gravity acts vertically downward with a magnitude equal to the weight of the truck. The component of this force along the slope is what causes an object to slide down a slope without friction.
To find the gravitational force parallel to the slope, we use the formula:
F parallel = m × g × sin(θ)
where m is the mass of the truck, g is the acceleration due to gravity, and θ is the angle of the slope.
- Mass of the truck, m = 8000 kg,
- Acceleration due to gravity, g = 9.8 m/s²,
- Angle of the slope, θ = 15°.
The gravitational force acting parallel to the slope is:
F parallel = 8000 kg × 9.8 m/s² × sin(15°) = 20,494 N ≈ 20,000 sin(15°) N
Therefore, the correct answer is D) 20,000 sin(15°) N.