Answer:
0.686 m/s
Explanation:
The principle of conservation says the sum of momenta before collision is equal to the sum of momenta after collision in an isolated system. Here, we assume the system is not acted upon by any external force.
The initial momentum = momentum of 1 st cart + momentum of 2nd cart
= 0.400 × 1.2 + 0.300 × 0 = 0.48 kg m/s
The final momentum = (0.400 + 0.300) × v (since they stick together)
0.700 v = 0.48
v = 0.686 m/s
Simple machine is the answer
Answer:
the final velocity of the object is 53.04 m/s.
Explanation:
Given;
initial velocity of the projectile, u = 50 m/s
displacement of the object, d = 16 m
let the final velocity of the object = v
Apply the following kinematic equation to determine the final velocity of the projectile.
v² = u² + 2gd
v² = 50² + (2 x 9.8 x 16)
v² = 2813.6
v = √2813.6
v = 53.04 m/s
Therefore, the final velocity of the object is 53.04 m/s.
A vibrating stretched string has nodes or fixed points at each end. The string will vibrate in its fundamental frequency with just one anti node in the middle - this gives half a wave.
Rearranging for the wavelength
Therefore the longest wavelength standing wave that it can support is 14m