In the figure, a runaway truck with failed brakes is moving downgrade at 170 km/h just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of 0 = 15°. The truck's mass is 1.5 x 104 kg. (a) What minimum length L must the ramp have if the truck is to stop (momentarily) along it? (Assume the truck is a particle, and justify that assumption.) Does the minimum length L increase, decrease, or remain the same if (b) the truck's mass is decreased and (c) its speed is decreased?
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
![**Problem Statement:**
In the figure, a runaway truck with failed brakes is moving downgrade at 170 km/h just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of θ = 15°. The truck's mass is 1.5 × 10⁴ kg.
(a) What minimum length L must the ramp have if the truck is to stop (momentarily) along it? (Assume the truck is a particle, and justify that assumption.)
Does the minimum length L increase, decrease, or remain the same if (b) the truck’s mass is decreased and (c) its speed is decreased?
**Diagram Explanation:**
The diagram shows a truck moving up an inclined ramp. The ramp has an inclination angle θ of 15° with respect to the horizontal. The length of the ramp is labeled as L. The ramp is depicted as a frictionless surface.
**Inputs**
- (a) The number provided is 9.8 with units m/s².
**Choices**
- (b) The minimum length L will "remain the same" if the truck’s mass is decreased.
- (c) The minimum length L will "decrease" if the truck’s speed is decreased.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa19899d9-b085-44d6-ac05-6544bc515fab%2F07fa02c6-abdc-4b28-800b-5e7d2a859372%2F2k08krj_processed.png&w=3840&q=75)
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