Answer:
2 s, -20 m/s
Explanation:
Given:
y₀ = 20 m
y = 0 m
v₀ = 0 m/s
a = -9.8 m/s²
Find: t and v
y = y₀ + v₀ t + ½ at²
0 = 20 + 0 + ½ (-9.8) t²
0 = 20 − 4.9 t²
t ≈ 2 s
v² = v₀² + 2a(y − y₀)
v² = 0 + 2(-9.8)(0 − 20)
v ≈ ±20 m/s
Since the rock is falling, v = -20 m/s.
Answer:
The combined speed of the woman and the skateboard is 6.67 m/s.
Explanation:
It is given that,
Mass of woman, m₁ = 60 kg
Speed of woman, v = 10 m/s
The woman jumps onto a giant skateboard of mass, m₂ = 30 kg
Let V is the combined speed of the woman and the skateboard. It can be calculated using the conservation of momentum as :

On solving the above equation we get V = 6.67 m/s
So, the combined speed of the woman and the skateboard is 6.67 m/s. Hence, this is the required solution.
Answer:light waves travel faster than sound waves.
Explanation:
Explanation:
Below is an attachment containing the solution.
Answer:

Explanation:
The volume charge density is given by:

where
q is the charge
V is the volume of the sphere
In this problem, we have:
is the charge
is the radius of the sphere, so its volume is

So, the volume charge density is
