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UNO [17]
3 years ago
13

A semi-trailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls onto a runaway truck ramp th

at is inclined at an angle of 17.0° above the horizontal. The semi-trailer coasts to a stop after traveling 160 m along the ramp. What was the truck's initial speed?
Physics
1 answer:
aleksklad [387]3 years ago
6 0

<u>Answer:</u>

The velocity is 30.279 m/s

<u>Explanation</u>:

Consider the initial speed of the semi-trailer be v

Then, initial kinetic energy = \frac{1}{2} mv^2

According to question, the semi-trailer coast along a ramp, which is inclined at an angle of 170, and to a distance of 160m to stop

Change in vertical position =h=160 \times \sin 17^{\circ}-0= 46.779m

Final potential energy of semitrailer = mgh

Applying principle of conservation of energy,

\frac{1}{2} mv^2 = mgh

Solving for v, we get v^2 = 2gh = 2*9.8*46.779 = 916.8684

v^2 = 916.8684

v = 30.279 m/s

Therefore, the velocity is 30.279 m/s

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