Question

A sled is initially given a shove up a frictionless 20.0° incline. It reaches a maximum vertical height 1.60 m higher than where it started at the bottom.

Part A) What was its initial speed? Express your answer to three significant figures and include the appropriate units.

Answer 1

v ≈ 5.602 m/s

Step-by-step explanation:

By applying Work-Energy Theorem and Principle of Energy Conservation, the physical model of given system is described below. It is assumed that height at the bottom is zero:

`K = U_(grav)\\(1)/(2) \cdot m \cdot v^(2) = m \cdot g \cdot h`

Where
`K` and
`U_(grav)` are the kinetic energy and gravitational potential energy, respectively.

Initial velocity is found by isolating in that equation.

`v = √(2 \cdot g \cdot h)\\v = \sqrt{2\cdot (9.81 (m)/(s^2))\cdot (1.60 m)} \\v \approx 5.602 (m)/(s)`