Answer:
3054.4 km/h
Explanation:
Using the conservation of momentum
momentum before separation = 5M × 2980 Km/h where M represent the mass of the module while 4 M represent the mass of the motor
initial momentum = 14900 M km/h
let v be the new speed of the motor so that the
new momentum = 4Mv and the new momentum of the module = M ( v + 94 km/h )
total momentum = 4Mv + Mv + 93 M = 5 Mv + 93M
initial momentum = final momentum
14900 M km/h = 5 Mv + 93M
14900 km/h = 5v + 93
14900 - 93 = 5v
v = 2961.4 km/h
the speed of the module = 2961.4 + 93 = 3054.4 km/h
Answer:
108.37°C
Explanation:
P₁ = Initial pressure = 101 kPa
V₁ = Initial volume = 530 m³
T₁ = Initial temperature = 10°C = 10+273.15 =283.15 K
P₂ = Final pressure = 101 kPa (because it is open to atmosphere)
V₂ = Final volume = 530 m³
P₁V₁ = n₁RT₁
⇒101×530 = n₁RT₁
⇒53530 J = n₁RT₁
P₂V₂ = n₂RT₂
⇒53530 J = n₂RT₂
Dividing the first two equations we get
∴Temperature must the air in the balloon be warmed before the balloon will lift off is 381.25-273.15 = 108.37°C
Answer:
True
Explanation:
Newton's first law of motion states that an object at rest will stay at rest unless acted upon by an outside force.
Answer:
1003.9 Nm²/C
Explanation:
Parameters given:
Radius of sphere, r = 1.88 m
Electric field at surface of sphere, E = 22.6 N/C
Electric Flux, Φ, is given as:
Φ = E * A
Where A = Surface area
Surface Area of sphere = 4 * pi * r²
= 4 * pi * 1.88²
= 44.4 m²
Φ = 22.6 * 44.4
Φ = 1003.9 Nm²/C
Answer:
631.7 Hz
Explanation:
The Doppler effect is a phenomenon that occurs when there is relative motion between an observer and a source of a wave. When this occurs, the is a change in the apparent frequency of the wave, as observed by the observer.
In particular, the new apparent frequency can be calculated as:
where
f is the real frequency
f' is the apparent frequency
v is the speed of the wave
is the velocity of the observer (positive if the observer is moving towards the source, negative if moving away)
is the velocity of the source (negative if the source is moving towards the observer, positive if moving away)
In this problem:
v = 340.6 m/s is the speed of the sound wave
f = 600 Hz is the real frequency of the sound
is the velocity of the person
is the velocity of the source
Substituting, we find:
