Answer:
30.66 knots
Explanation:
Distance of ship A from B at noon = 50 NM
= Velocity of ship A = 22 knots = 22 NM/h
= Velocity of ship B = 23 knots = 23 NM/h
Distance travelled by ship A from noon to 3 PM = 22×3 = 66 NM
a = Total distance travelled by ship A = 50+66 = 116 NM
b = Total distance travelled by ship B till 3 PM = 23×3 = 69 NM
c = Distance between Ship A and B at 3 PM = √(116²+69²) = 134.97 NM
a²+b² = c² (Pythagoras theorem)
Now differentiating with respect to time
∴ The velocity with which the distance is changing at 3 PM (3 hours later) is 30.66 knots
Answer:
B temperature is an indirect measurement of the heat energy in a substance
Explanation:
The concept of temperature can be easily understood by looking at what happens when two objects are placed in contact with each other. By common experience, we know that the hotter object transfers heat energy to the colder object, until the two objects are in thermal equilibrium (= they have same temperature).
Thinking about the example above, we can say therefore that the temperature is an indirect measurement of the heat energy possessed by an object (or substance).
For a monoatomic gas, for instance, we define its internal energy as
where n is the number of moles, R is the gas constant, and T is the absolute temperature. From the formula, we see that the temperature is related to the internal energy of the gas, so measuring the temperature means indirectly measuring its internal energy.
Answer:
From -15⁰ to 0⁰
H=mc¶
where H= heat absorbed or evolved
m=mass involved
c=specific heat capacity
¶=change in temperature
H=mc¶
Answer:
Angle of incline is 20.2978°
Explanation:
Given that;
Gravitational acceleration on a planet a = 3.4 m/s²
Gravitational acceleration on Earth g = 9.8 m/s²
Angle of incline = ∅
Mass of the stone = m
Force on the stone along the incline will be;
F = mgSin∅
F = ma
The stone has the same acceleration as that of the gravitational acceleration on the planet.
so
ma = mgSin∅
a = gSin∅
Sin∅ = a / g
we substitute
Sin∅ = (3.4 m/s²) / (9.8 m/s²)
Sin∅ = 0.3469
∅ = Sin⁻¹( 0.3469 )
∅ = 20.2978°
Therefore, Angle of incline is 20.2978°
