Answer:
825 kgm⁻³
Explanation:
ρ = density of wood = ?
ρ' = density of water = 1000 kgm⁻³
V = volume of wood = 10 x 4 x 2 = 80 cm³ = 80 x 10⁻⁶ m³
V' = Volume of water displaced = 10 x 4 x 1.65 = 66 cm³ = 66 x 10⁻⁶ m³
Using equilibrium of force in vertical direction
Force of buoyancy = Weight of the wood
ρ' V' g = ρ V g
ρ' V' = ρ V
(1000) (66 x 10⁻⁶) = ρ (80 x 10⁻⁶)
ρ = 825 kgm⁻³
The density of an object is given by:
D = M/V
D = density, M = mass, V = volume
The volume of the cube V is given by:
V = s³
where s = side length
Make a substitution:
D = M/s³
Given values:
M = 20kg, s = 20×10⁻²m
Plug in and solve for D:
D = 20/(20×10⁻²)³
D = 2500kg/m³
The Coriolis effect is strongest at the north and south poles, and zero on the equator (zero latitude).
The average acceleration of the car as it accelerates from 15 m/s to 25 m/s will be 2.5 m/s².
<h3>What is Average acceleration?</h3>
Average acceleration is the average rate of change of velocity with respect to time. Mathematically -
a = Δv/Δt
Given that a car is traveling at 15 m/s in north direction and in 4 seconds it accelerates to 25 m/s in the north direction only. Therefore, we can write -
initial velocity [u] = 15 m/s
final velocity [v] = 25 m/s
time taken [Δt] = 4 s
The magnitude of the average acceleration can be calculated as follows-
a = Δv/Δt
Δv = v - u = 25 - 15
Δv = 10 m/s
Therefore -
a = 10/4
a = 2.5 m/s².
Therefore, the average acceleration of the car will be 2.5 m/s².
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