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Two automobiles of weight 7.12 kN and 14.24 kN are traveling along horizontally at 96 km/h when they both run out of gas. Luckily, there is a town in a valley not far off, but it's just beyond a 33.5 m high hill. Assuming that friction can be neglected, which of the cars will make it to town?

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Originally posted by Dutch Defense
Two automobiles of weight 7.12 kN and 14.24 kN are traveling along horizontally at 96 km/h when they both run out of gas. Luckily, there is a town in a valley not far off, but it's just beyond a 33.5 m high hill. Assuming that friction can be neglected, which of the cars will make it to town?
They both can make it over.

The first one has a mass of 7.12x10^3 N / 9.81 N kg^-1 = 725.79 kg

The second one has a mass of 14.24x10^3 N / 9.81 N kg^-1 = 1451.58 kg

Kinetic energy of first one = 1/2 x 725.79 x (26.67 ms^-2) ^2 = 258.06 kJ

KE of second one = 1/2 x 1451.58 x (26.67 ms^-2) ^2 = 516.25 kJ

Gravitational potential energy of first one at top of hill = 725.79 x 9.81 x 33.5 = 238.52 kJ

PE of second one at top of hill = 1451.58 x 9.81 x 33.5 = 477.04 kJ

So both have enough energy to get to top and still have momentum.

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neither. they both crashed the 700KN chicken that was crossing the road.

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A ball having a mass of 0.50 kg is thrown straight up at a speed of 25.0 m/s.

a) How high will it go if there is no friction?
b) If it rises 22m, what was the average force due to air friction?

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Originally posted by Dutch Defense
A ball having a mass of 0.50 kg is thrown straight up at a speed of 25.0 m/s.

a) How high will it go if there is no friction?
b) If it rises 22m, what was the average force due to air friction?
do your own homework

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Originally posted by Dutch Defense
Two automobiles of weight 7.12 kN and 14.24 kN are traveling along horizontally at 96 km/h when they both run out of gas. Luckily, there is a town in a valley not far off, but it's just beyond a 33.5 m high hill. Assuming that friction can be neglected, which of the cars will make it to town?
take it to posers and puzzles spanky

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Originally posted by Dutch Defense
A ball having a mass of 0.50 kg is thrown straight up at a speed of 25.0 m/s.

a) How high will it go if there is no friction?
b) If it rises 22m, what was the average force due to air friction?
friction is negligible so if this is your homework they are just trying to throw you off.

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Originally posted by Dutch Defense
A ball having a mass of 0.50 kg is thrown straight up at a speed of 25.0 m/s.

a) How high will it go if there is no friction?
b) If it rises 22m, what was the average force due to air friction?
a)

v0 = 25ms^-1

a = -9.81ms^-2

0 = 25^2 - 2 * 9.81h

h = 31.85m

b)

Can't be bothered, as it is late here and I am off to bed. Although if it rises only 22m, then friction isn't negligible.

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Originally posted by Dutch Defense
A ball having a mass of 0.50 kg is thrown straight up at a speed of 25.0 m/s.

a) How high will it go if there is no friction?
b) If it rises 22m, what was the average force due to air friction?
a) It depends where you're throwing it from. The escape velocity from the earth's surface is only 7 mps so it would go into orbit about the sun. Sorry, but I don't know the sun's escape velocity.

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Originally posted by Lukerik
a) It depends where you're throwing it from. The escape velocity from the earth's surface is only 7 mps so it would go into orbit about the sun. Sorry, but I don't know the sun's escape velocity.
m/s stands for meters per second not miles per second.

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Originally posted by tomtom232
m/s stands for meters per second not miles per second.
Thanks. Still only half converted to metric I'm afraid.

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Originally posted by lausey
a)

v0 = 25ms^-1

a = -9.81ms^-2

0 = 25^2 - 2 * 9.81h

h = 31.85m

b)

Can't be bothered, as it is late here and I am off to bed. Although if it rises only 22m, then friction isn't negligible.
b)

To get 'a' in this situation will be:

0 = 25^2 + 44a

a = -625 / 44 = -14.20ms^-2

Difference of -4.39ms^-2

F = ma

F = 0.5 x 4.39 = 2.19N

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Originally posted by Dutch Defense
A ball having a mass of 0.50 kg is thrown straight up at a speed of 25.0 m/s.

a) How high will it go if there is no friction?
b) If it rises 22m, what was the average force due to air friction?
What is the ball made out of?

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