Bouncy, bouncy, bouncy

Energy is the capacity to do work thus

W= fd (force x displacement )

Force= mg (mass x acceleration due to gravity)

F= 50 kg x 9.8 m/s^2

F= 490 N

W= 490N x 5m

W= 2450 J

Since energy is coserved, potential energy at max height is the total energy as kinetic energy at max height is 0. And, potential energy at max height = energy stored at max stretching of trampoline = mgh = 50kg x 9.8 ms^-2 x 5m = 2450 J

Remember when the trampoline is fully stretched, its velocity will be zero therefore the equation to find the energy will be the potential energy:

Potential energy = mass * gravitation field strength * height

If we sub in the values we get: 5 * 50 * 9.8 = 2450 Joules

Well its quite easy . we know that , W = Fx = mgh , where m is the gymnast's mass , g is gravity and h is what height she got up in the air .

It is same the last issue . W = m . g .h = 50 . 9,8 . 5 = 2450 ( J )

Stretched height of trampoline = 5 m

Mass of the body = 50 kg

So, Energy stored in trampoline = P.E of trampoline = mgh = 50 * 9.8 * 5 = 2450 J

W= f x d W=(50x9,8)x5 W=(490)x5 W=2450 J

mgh =(50kg) (9.8m/s^2) (5m)

Force=Mass Acceleration,Mass is 50kg and acceleration = 9.8m/sec^2....Therefore, Force=50 9.8kg m/sec^2....Displacement = 5m...Therefore work done=2450Joules, that can be written as 2.45E3

e=mgh....here m=50kg,g=9.8,h=5m....energy=2450

moving freely under gravity she has her weight acting downwards $50 \times 9.8$ =490

you should recognize that the work done against her weight is actually the energy used which also equals the potential energy from stretching of the trampoline

work done against her weight= $50 \times 9.8 \times 5$ =2450 joules

work done=mgh; thus on substituting we get2450

As the weight can be calculated as (mass Cg). To know how much energy is stored we have a formula Energy Stored = Weight * Distance travelled Therefore weight w=50 9.8 = 490 N Energy stored = w d = 490 5 = 2450 Nm or Joules.