Answer:
8000 kg/cm^3
Explanation:
The density formula is P = M/V
Density = P = ? expressed in kg/m^3
M = mass = 40,000 kg
V = volume = 5 m^3
P = 40,000/5
P = 8000 kg/m^3
Given,
Mass, m=1500kg
Velocity, v=20m/s
KE= 1/2mv^2
KE=1/2 x 1,500 x 20^2
KE=300000 J
KE=300 kJ
a.0.890hertz
b.100hertz
c.230hertz
d.733
1. The wavelength is the ratio of the wave's speed to its frequency in hertz or 1/s. This is shown below,
λ = s / f = (320 m/s) / (300 1/s) = 1.07 m
The wavelength is approximately 1.07 m.
2. The frequency is the ratio between speed and the wavelength,
f = (330 m/s) / 0.45 m = 733.33 hertz
Answer:
a) Kinetic energies
K₁ = 1.2 J
K₂ = 7.5 J
b) The bullet that has the highest kinetic energy is the one with the highest speed , v = 50 m/s , K₂ = 7.5 J
c) K₂ -K₁ = 6.3 J
Explanation:
The kinetic energy (K) is that due to the movement of a body and is calculated as follows:
K = (1/2) m*v² (J)
Where :
m : the mass of the body ( kg)
v is the speed of the body (m/s)
Data
m₁ = m₂ = 0.006 Kg
v₁ = 20 m/s
v₂ = 50 m/s
a)Calculation of the kinetic energy
K₁ = (1/2) (m₁)*(v₁)²
K₁ = (1/2) (0.006)*(20)²
K₁ = 1.2 J
K₂= (1/2) (m₂)*(v₂)²
K₂ = (1/2) (0.006)*(50)²
K₂ = 7.5 J
b) K₂ ˃ K₁
The bullet that has the highest kinetic energy is the one with the highest speed , v = 50 m/s, K₂ = 7.5 J
c) Difference of their kinetic energies (K₂ -K₁)
K₂ -K₁ = 7.5 J - 1.2 J = 6,3 J
If a traveler first drives 18.6 km east, then 30.3 km southeast, and finally 10.7 km south then the traveler's total displacement would be 51.30 kilometers.
An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard. Displacement describes this shift in location.
As given in the problem If a traveler first drives 18.6 km east, then 30.3 km southeast, and finally 10.7 km south then we have to find the traveler's total displacement,
the total displacement in the east direction = 18.6 + 30.3Cos45°
the total displacement in the east direction = 40 km
the total displacement in the south direction = 10.7 + 30.3Cos45°
the total displacement in the south direction = 32.12 km
The net resultant displacement = √(40² + 32.12²)
The net resultant displacement = 51.30 kilometers
Thus, the traveler's total displacement comes out to be 51.30 kilometers.
Learn more about displacement here, refer to the link;
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