Science
posted by Jaisa .
a 500 Newton ballerina did 250 joules of work to lift herself upwars through the air. She landed a total of 2.5 meters to the left after completing her jump. How high did she jump?

You are given enough information to solve for the takeoff velocity, "hang time" and "launch angle", but I could find no real solution for the hang time, using your inputs.

Her mass is M = Weight/g = 51.0 kg
Her initial velocity, from her initial kinetic energy E (equal to work done), is
Vo = sqrt(2 E/M) = 3.13 m/s
The horizontal distance X that she travels is related to her "takeoff angle" A by the equation
X = 2.5 = (Vo^2/g)*sin(2A)
which leads to
2.5 = 1.00 sin (2A)
There is no angle 2A (or A) that satifies this equation. She does not have enough initial kinetic energy to jump that far. You may have copied something wrong
Respond to this Question
Similar Questions

physics
please show me how to do this in steps. A track star in the long jump goes into the jump at 12 m/s and launches herself at 20.0degrees above the horizontal. What is the magnitude of her horizontal displacement? 
6th grade
The men's outdoor world regard in the high jump 2.45 meters and 8ft 0.5 inches. The women outdoor record in high jump 2.09 meters and 6ft 10.25in How much higher is the men's high jump record? 
Physics
A trackstar in the long jump goes into the jump at 12 meters per second and launches herself at 20 degrees how long is she in the air 
Physics
Mason lifts a box off the ground and places it in a car that is 0.50 meters high. If he applies a force of 8.0 newtons to lift this suitcase, what is the work done? 
Physics
A track star in the long jump goes into the jump at 12 m/s and launches herself at 20.0° above the horizontal. How long is she in the air before returning to Earth? 
science
On average, froghopper insects have a mass of 12.3 mg and jump to a height of 428 mm. The takeoff velocity is achieved as the little critter flexes its leg over a distance of approximately 2.0 mm. Assume a vertical jump with constant … 
science
On average, froghopper insects have a mass of 12.3 mg and jump to a height of 428 mm. The takeoff velocity is achieved as the little critter flexes its leg over a distance of approximately 2.0 mm. Assume a vertical jump with constant … 
Physics
an athlete is attempting to jump over a bar that is 1.5 meters in the air what is the lowest initial velocity that the athlete must jump with in order to successfully jump over the bar 
Biomechanics
Person A: Weight: 1200 N Net Impulse for counter movement jump: 240 Ns Person B: Weight: 800 N Net Impulse for counter movement jump: 160 Ns 1) Which person jumped highest? 
Algebra
The function y = –0.296x^2 + 2.7x models the length x and height y that your sister's pet rabbit can jump, in centimeters. How high does the rabbit jump?