Question

11) A sled is initially given a shove up a frictionless 35º incline. It reaches a maximum height of 2.5

meters vertically above its starting location. What was its initial speed?

Answer 1

7 m/s

Step-by-step explanation:

To solve this problem you must use the conservation of energy.

`K1 +U1=K2+U2`

That math speak for, initial kinetic energy plus initial potential energy equals final kinetic energy plus final potential energy.

The initial PE (potential energy) is 0 because it hasn't been raised in the air yet. The final KE (kinetic energy) is 0 because it isn't moving. This gives the following:

`KE1= (1)/(2)mv^(2)}`

`PE2=mgh`

K1=U2

`(1)/(2) mv^(2) =mgh`

Solve for v

`v=√(2gh)`

Input known values and you get 7 m/s.