Answer:
) the uniform disk has a lower moment of inertia and arrives first.
Explanation:
(a) the uniform disk has a lower moment of inertia and arrives first.
(b) Let's say the disk has mass m and radius r, and
the hoop has mass M and radius R.
disk: initial E = PE = mgh
I = ½mr², so KE = ½mv² + ½Iω² = ½mv² + ½(½mr²)(v/r)² = (3/4)mv² = mgh
m cancels, leaving v² = 4gh / 3
hoop: initial E = Mgh
I = MR², so KE = ½MV² + ½(MR²)(V/R)² = MV² = Mgh
M cancels, leaving V² = gh
Vdisk = √(4gh/3) > Vhoop = √(gh)
Answer:
The answer is a," their receptors are sensitive to chemical molecules."
Explanation :
As the ambulance got closer, Marge noticed that the pitch of the siren got higher. This is due to the Doppler's effect.
The siren of the ambulance has a higher pitch when it approaches Marge. When the waves move away from him, it will have a lower pitch.
As the waves come closer to us, the waves become compressed and hence the frequency of the wave increases.
We know, Impulse of a body is change in momentum.
Also, the final velocity of wood block is 0 m/s.
So, Impulse = Final Momentum - Initial Momentum
Impulse = 0 - ( 0.05 kg × 350 m/s )
Impulse = - 17.5 kg m/s
Therefore, the impulse exerted by the wood on the bullet is -17.5 kg m/s .
Answer:
m₁ = 0.37 kg
Explanation:
According to Law of conservation of energy:
Heat Lost by Aluminum = Heat Gained by Water
m₁C₁ΔT₁ = m₂C₂ΔT₂
where,
m₁ = mass of piece of aluminum = ?
C₁ = specific heat capacity of aluminum = 900 J/kg.°C
ΔT₁ = Change in temperature of aluminum = 250°C - 22°C = 228°C
m₂ = mass of water = 9 kg
C₂ = specific heat capacity of water = 4200 J/kg.°C
ΔT₁ = Change in temperature of aluminum = 22°C - 20°C = 2°C
Therefore,
m₁(900 J/kg.°C)(228 °C) = (9 kg)(4200 J/kg.°C)(2°C)
m₁ = (75600 J)/(205200 J/kg)
<u>m₁ = 0.37 kg</u>
