Conservation of momentum: total momentum before = total momentum after
Momentum = mass x velocity
So before the collision:
4kg x 8m/s = 32
1kg x 0m/s = 0
32+0=32
Therefore after the collision
4kg x 4.8m/s = 19.2
1kg x βm/s = β
19.2 + β = 32
Therefore β = 12.8 m/s
Answer:
The last option.
Explanation:
Since you are going down, the gravitational potential energy would go down too. Thus, the gravitational potential energy decreases.
Since the gravitational potential energy is converted to kinetic energy when you move down, there is an increase in kinetic energy.
Answer:
confirmation bias
Explanation:
the tendency to interpret new evidence as confirmation of one's existing beliefs or theories in a way that affirms one's prior beliefs or hypotheses.
Answer:
12.97 km
Explanation:
In order to find the resultant displacement, we have to resolve each of the 3 displacements along the x and y direction.
Taking north as positive y direction and east as positive x-direction, we have:
- Displacement 1: 2.00 km to the north
So

- Displacement 2: 60.0° south of east for 7.00 km
So

- Displacement 3: 9.50 km 35.0° north of east
So

So the net displacement along the two directions is:

So, the distance between the initial and final position is equal to the magnitude of the net displacement:

Answer:
The beat frequency is 5.5 Hz.
Explanation:
f = 110 Hz, T = 600 N , T' = 540 N
let the frequency is f'.

So, the beat frequency is f - f' = 110 - 104.5 = 5.5 Hz