Question

use the image below to determine which sled will have the faster speed at the bottom? height 25.0 m red sled mass 200 kg blue sled mass 40 kg a the red sled will have the greatest speed at the bottom. b not enough information to answer this question c the blue sled will have the greatest speed at the bottom. d both sleds will reach the bottom at the same time and have the same speed.

Explanation:

Step1: Apply conservation of mechanical energy

$mgh=\frac{1}{2}mv^{2}$

Step2: Solve for final - speed formula

$v = \sqrt{2gh}$

Step3: Analyze the formula

The final speed $v$ depends only on the height $h$ and the acceleration due to gravity $g$, and not on the mass $m$ of the sled.
The blue sled starts from a higher height ($h_{blue}=50.0\ m$) compared to the red sled ($h_{red}=25.0\ m$).

Answer:

C. The Blue sled will have the greatest speed at the bottom.