Answer: 5.075Ns
Explanation:
Given the following :
Mass of ball = 145g
Initial Speed of ball = 15m/s
Final speed of ball when hit by the batter = - 20m/s ( Opposite direction)
The impulse of a body is represented using the relation:
Force(f) * time(t) = mass (m) * (final Velocity(V) - initial velocity(u))
Therefore, using:
m(v - u) = impulse
Mass of ball = 145 / 1000 = 0.145kg
Impulse = 0.145(- 20 - 15)
Impulse = 0.145(-35)
Impulse = 5.075Ns
Complete question:
A taut rope has a mass of 0.123 kg and a length of 3.54 m. What average power must be supplied to the rope to generate sinusoidal waves that have amplitude 0.200 m and wavelength 0.600 m if the waves are to travel at 28.0 m/s ?
Answer:
The average power supplied to the rope to generate sinusoidal waves is 1676.159 watts.
Explanation:
Velocity = Frequency X wavelength
V = Fλ ⇒ F = V/λ
F = 28/0.6 = 46.67 Hz
Angular frequency (ω) = 2πF = 2π (46.67) = 93.34π rad/s
Average power supplied to the rope will be calculated as follows

where;
ω is the angular frequency
A is the amplitude
V is the velocity
μ is mass per unit length = 0.123/3.54 = 0.0348 kg/m
= 1676.159 watts
The average power supplied to the rope to generate sinusoidal waves is 1676.159 watts.
<span>The answer to your question: <span>The
sun emits shortwave radiation, but it is radiated back off of planetary bodies
as longwave radiation. </span></span>
<span>
Explanation: The sun emits shortwave
radiation, wherein it’s extremely hot and is filled with more energy compared
to the radiation emitted by planets. This also comes in the form of light. However, once this becomes absorbed by planetary bodies, it turns into longwave radiation. A good example is the earth’s atmosphere emitting energy
(longwave radiation), which is energy originally coming from the sun (shortwave radiation).</span>
The answer is D. Isotopes.
Hope that helped.
Answer:
The rate at which the pump moves oil is 1 m³/s
Explanation:
Assumptions:
- there is steady-state flow
- oil and water are incompressible
- first fluid is water, second fluid is oil and third fluid is the mixture of oil and water.

where;
ρ is the fluid density
Q is the volumetric flow rate

Substitute in Q₃ in equation i

divide through by ρ₁

Make Q₂ the subject of the formula

Therefore, the rate at which the pump moves oil is 1 m³/s