Question: Part A What Maximum Speed Can The Car Have Without Flying Off The Road At The Top Of The Hill?

What maximum speed can the car have at the top of the hill and still not lose contact with the road?

For the car to lose contact with the road, it must be traveling at a speed of 28 m/s or greater when it reaches the crest of the hill. At lower speeds, the car would remain in contact with the road.

What is the normal reaction on the car if it passes the top of a hill?

When the car is at the top of the hill, the reaction force is vertically upwards and the weight is vertically downwards, thus the resultant of the two that acts towards the centre of the circular path = mg – R. This resultant force provides the centripetal force and so mg -R = mv2 /r.

Why do you feel lighter going over a hill?

When you plummet down a steep hill, gravity pulls you down while the acceleration force seems to pull you up. At a certain rate of acceleration, these opposite forces balance each other out, making you feel a sensation of weightlessness — the same sensation a skydiver feels in free fall.

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What is the fastest speed limit?

The highest posted speed limit in the world is 160 km/h (99 mph), which applies to two motorways in the UAE.

What is the maximum speed with which a car can round a turn of radius?

Putting the values of the parameters and g= 9.8m/s, we get, v=√μgR=√0.4×9.8×30=√117.6=10.84. Thus, the maximum velocity that can be attained by the vehicle while making the turn is 10.84 m/s.

Has any car hit 1000 mph?

A new vehicle from the Bloodhound Project, called the SuperSonic Car (SSC), is built to surpass speeds of 1,000 miles per hour, according to CNN. The SSC has a horsepower of 135,000 and can travel one mile in 3.6 seconds.

Has any car hit 400 mph?

As he was walking to a math class during his freshman year at Ohio State University, R. J. Kromer spotted a poster for a student-run team designing a fuel-cell-powered car.

Has any car hit 300 mph?

In August 2019, Bugatti topped the formerly reigning Hennessey Venom F5. Not only that, but the Chiron Super Sport 300+ also became the first car to break 300 miles per hour on the track. The final record was 304.773 mph with racing driver Andy Wallace at the wheel on Volkswagen’s Ehra-Lessien test track in Germany.

Why is normal force zero at the top of a hill?

Sensations of Weightlessness. Observe that the normal force is greater at the bottom of the loop than it is at the top of the loop. When at the top of the loop, the gravitational force is directed inwards (down) and so there is less of a need for a normal force in order to meet the net centripetal force requirement.

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What is the centripetal force of a car on a hill?

When the car goes over a hill the centripetal force which causes the car to travel in a circular path is the difference between the weight and the support force. As the car’s weight is providing the centripetal force, then as the car gets faster then S must get smaller and smaller until it reaches 0.

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