A25 kg block is held against a compressed spring and then the spring is allowed to decompress giving the block a velocity. the block then slides to the right on a horizontal frictionless surface and then up a frictionless incline.
find the maximum height that the block reaches if the incline is 19.5 ∘ . all surfaces are frictionless, the spring constant is 1300 n/m and the initial spring compression is 26.4cm.

h=18.05 cm

Explanation:

Given that

m= 25 kg

K= 1300 N/m

x=26.4 cm

θ= 19.5 ∘

When the block just leave the spring then the speed of block = v m/s

From energy conservation

By putting the values

v=1.9 m/s

When block reach at the maximum height(h) position then the final speed of the block will be zero.

We know that

By putting the values

h=0.1805 m

h=18.05 cm

mistakes are ok

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.