Answer:
Q = 114895 J
Explanation:
To find the thermal energy gained by the ice you use the following formula:

m: mass of the ice = 0.250kg
T2: final temperature = 22°C
T1: initial temperature = -8.0°C
Hf: heat of fusion of water = 3.34*10^5 J/kg
c: specific heat of water = 4186 J/kg
By replacing the values of the parameters you have:

where you have considered that ice melts completely
The correct answer from the list of choices is option C. An example of an observation is when bubbles formed when two chemicals are mixed together. It is an observation because it is what is seen directly by the naked eye after mixing the chemicals.
1. 1.59 s
The period of a pendulum is given by:

where L is the length of the pendulum and g the gravitational acceleration.
In this problem,
L = 0.625 m
g = 9.81 m/s^2
Substituting into the equation, we find

2. 54,340 oscillations
The total number of seconds in a day is given by:

So in order to find the number of oscillations of the pendulum in one day, we just need to divide the total number of seconds per day by the period of one oscillation:

3. 0.842 m
We want to increase the period of the pendulum by 16%, so the new period must be

Now we can re-arrange the equation for the period of the pendulum, using T=1.84 s, to find the new length of the pendulum that is required to produce this value of the period:

Answer:
w = 7.89 10⁻² rad/s
Explanation:
We will solve this exercise with the conservation of the annular moment, let's write it in two moments
Initial. With the insect in the center
L₀ = I w₀
End with the bug on the edge
= I w +
w
The moments of inertia are
For a rod
I = 1/3 M L²
For the insect, taken as a particle
I = m L²
The system is formed by the rod and the insect, this is isolated, therefore the external torque is zero and the angular momentum is conserved
L₀ = 
I w₀ = I w +
w
w = I / (I +
) w₀
w = I / (I + m L²) w₀
Let's calculate
w = 1.43 10⁻³ / (1.43 10⁻³ + 5 10⁻³ 0.620²)² 0.185
w = 1.43 10⁻³ / 3.352 10³ 0.185
w = 7.89 10⁻² rad/s
Answer:

Explanation:
given,
speed of the car = 46.4 m/s
Radius of the curve = 52.3 m
banked at an angle = θ = ?
now car is moving in the circular path
so,
computing the horizontal component and vertical component
...........(1)
vertical
..................(2)
dividing equation (1) from (2)



