Answer:
The reason is because both are exposed to a virtually infinite heat sink, due to the virtually infinite mass and of the surrounding environment, compared to the sizes of either the cup or the kettle such that the equilibrium temperature, reached is the same for both the cup and the kettle as given by the relation;
Due to the large heat sink, T₂ - T₁ ≈ 0 such that the temperature of the kettle and that of the cup will both cool to the temperature of the environment
Explanation:
Answer:
The frequency of the oscillation is 2.45 Hz.
Explanation:
Given;
mass of the spring, m = 0.5 kg
total mechanical energy of the spring, E = 12 J
Determine the spring constant, k as follows;
E = ¹/₂kA²
kA² = 2E
k = (2E) / (A²)
k = (2 x 12) / (0.45²)
k = 118.519 N/m
Determine the angular frequency, ω;
Determine the frequency of the oscillation;
ω = 2πf
f = (ω) / (2π)
f = (15.396) / (2π)
f = 2.45 Hz
Therefore, the frequency of the oscillation is 2.45 Hz.
Answer:
4.44 kN in the opposite direction of acceleration.
Explanation:
Given that, the initial speed of the car is,
And the mass of the car is,
The total distance covered by the car before stop,
And the final speed of the car is,
Now initial kinetic energy is,
Substitute the value of u and m in the above equation, we get
Now final kinetic energy is,
Substitute the value of v and m in the above equation, we get
Now applying work energy theorem.
Work done= change in kinetic energy
Therefore,
Here, the force is negative because the force and acceleration in the opposite direction.