Answer:
The buoyant force on the wood = 7.652 N
Explanation:
According to the principle of flotation, a body floats when the upthrust exerted upon it by the fluid n which it floats equals the weight of the body.
W = U ............... Equation.
Where W = weight of the wood, U = Upthrust or buoyant force.
Recall That,
Density = mass/volume
Mass = Density×volume
m = D×V........................ Equation 2
Where m = mass of the wood, V = Volume of the wood, D = Density of the wood.
But
Volume of a cube = a³
V = a³ where a = length of the cube.
V = 10³ = 1000 cm³.
Given: V = 1000 cm³ D = 0.780 g/cm³
Substituting these values into equation 2,
m = 1000(0.780)
m = 780 g
m = 0.78 kg.
But W = mg
Where m = 0.78 kg, g = 9.81 m/s²
W = 0.78(9.81)
W = 7.652 N.
Since W = U = 7.652 N.
U = 7.652 N
Therefore the buoyant force on the wood =7.652 N
Plate tectonics is the theory that Earth's outer shell is divided into several plates that glide over the mantle, the rocky inner layer above the core. The plates act like a hard and rigid shell compared to Earth's mantle. This strong outer layer is called the lithosphere, which is 100 km (60 miles) thick, according to Encyclopedia Britannica. The lithosphere includes the crust and outer part of the mantle.
Answer:
182.9 Volts
Explanation:
R = resistance of the resistor = 50 Ω
C = capacitance of the capacitor = 200 μF = 200 x 10⁻⁶ F
L = Inductance of the inductor = 120 mH = 0.12 H
f = frequency = 60 Hz
Capacitive reactance is given as
X = (2πfC)⁻¹
X = (2(3.14) (60) (200 x 10⁻⁶))⁻¹
X = 13.3 Ω
Inductive reactance is given as
X' = 2πfL
X' = 2(3.14) (60) (0.12)
X' = 45.2 Ω
Impedance of the circuit is given as
z = √(R² + (X' - X)²)
z = √(50² + (45.2 - 13.3)²)
z = 59.31 Ω
V = rms emf of the source = 240 Volts
rms voltage across the inductor is given as
V' = V z⁻¹ X'
V' = (240) (59.31)⁻¹ (45.2)
V' = 182.9 Volts
A. and C. are both correct. Work is force x distance, and 1 J is 1 N-m .
Answer:
Explanation:
= Mass of bullet = 4.2 g
= Initial velocity of bullet = 0
= Mass of hunter with rifle = 69.5 kg
= Initial velocity of hunter with rifle
= Final velocity of the bullet = 970 m/s
= Final velocity of the hunter with the rifle
As the momentum of the system is conserved we have
The recoil speed of the hunter is in the opposite direction of the bullet.
