# physics

posted by .

a 40 kg high jumper leaves the ground with a speed of 6m/s. how high can he jump ?

• physics -

The mass does not matter. The jumper's center of mass can be raised an amount H that is given by

gH = V^2/2,
assuming yjat the initial velolcity V is UP.

Thus H = V^2/(2g) = 1.84 m = 6 ft 5 inches

The actual high jump world record is higher than that (about 8 feet)because the center of mass does not start at the ground, and because it is possible to clear a bar higher than the jumperr's center of mass by using an appropriate jumping technique first used by Fosbury.

## Similar Questions

1. ### Physics

An 60kg athlete wants to jump over a 2 m bar. How fast must she go the moment her foot leaves the ground in order to get her centre of mass up so high?
2. ### Physics

A high jumper of mass 80.0 kg consumes a meal of 4.00 103 kcal prior to a jump. If 3.3% of the energy from the food could be converted to gravitational potential energy in a single jump, how high could the athlete jump?
3. ### physics

A high jumper of mass 80.0 kg consumes a meal of 4.00 103 kcal prior to a jump. If 3.3% of the energy from the food could be converted to gravitational potential energy in a single jump, how high could the athlete jump?
4. ### physics

An athlete executing a long jumper leaves the ground at a 27.0 degree angle and travels 7.89 m. What was the takeoff speed?
5. ### Physics

An Olympic long jumper is capable of jumping 8.3 m. Assume that his horizontal speed is 9.5 m/s as he leaves the ground. He was in the air for .87 seconds. How high does he go assuming that he lands upright, the same way he was when …
6. ### physics

an olympic long jumper i capable of jumping 8.0 m. Assuming hi horizonal speed is 9.1 m/s as he leaves the ground, how long is he in the air and how high doe he go?