Answer:
The final speed is 4.85 m/s.
Explanation:
Given:
Mass of ice (m) = 2.50 kg
Length of incline (L) = 2.00 m
Angle of incline (x) = 36.9°
Initial speed of ice block (u) = 0 m/s
Final speed of ice block (v) = ?
Friction is ignored.
So, when friction is ignored, then, the change in kinetic energy equals change in potential energy. This is true from conservation of energy.
∴ Δ KE = Δ PE
Here, 'h' is the initial height of the block which can be determined from the right angled triangle as shown below.
From triangle ABC, AC = 2.00 m, ∠ACB = 36.9°, AB = 'h'
So, using sine of angle ratio, we have
Therefore, the final speed is given as:
Therefore, the final speed is 4.85 m/s.