(a) Find the maximum distance d the block travels up the frictionless incline if

Question

(a) Find the maximum distance d the block travels up the frictionless incline if ? = 30.0°.
?   m

(b) How fast is the block going when halfway to its maximum height?
?   m/s

A 0.79 kg block is shot horizontally from a spring, as in the example above, and travels 0.545 m up a long a frictionless ramp before coming to rest and sliding back down. If the ramp makes an angle of 45.0° with respect to the horizontal, and the spring originally was compressed by 0.18 m, find the spring constant.

?????

The initial energy is spring potential energy, and the final energy is gravitational potential energy. Energy is conserved, so these are equal. N/m

Explanation / Answer

a)

0.5*557*(0.095)^2 = m * g * (dcos(30))

d= 0.66105514348 m

b) half energy is KE

0.5*557*(0.095)^2 *1/2 =1/2 *0.448 *v^2

v=2.36862984995 m/s

c)

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