Measure the length of the ramp from the starting point (compressed spring) as sh

Question

Measure the length of the ramp from the starting point (compressed spring) as shown in the picture.

3.  Does the mass successfully jump the gap and land on the other side? The ramp has an angle of 20%u2218. A distance x = 1.16m separates the ramp from a landing area that is at the same height as the top of the ramp.(Figure above). If the mass leaves the end of the spring at a speed of 4.43m/s , what is the spring constant of the spring? It's not 1280N If the mass reaches the top of the ramp moving at speed 2.81m/s , what is the length of the ramp? Measure the length of the ramp from the starting point (compressed spring) as shown in the picture. Does the mass successfully jump the gap and land on the other side?

Explanation / Answer

1) 0.5*k*d^2 = 0.5*m*v^2 + m*g*0.283*sin(20)

k = 1360 N/m


2)

m*g*h = 0.5*m*(v1^2-v2^2)

h = 0.5*(v1^2-v2^2)/g = 0.6 m

L = h/sin(20) = 1.75 m

3)

horizonatl range R = v2^2*sin(2*20)/g = 0.52 m

but the separation is given x = 1.16 m

x>R. so it does not reach the other end

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