The result is -15.625 m/s².
Acceleration signifies the alteration of velocity over a specified duration. It can be calculated with this formula:
Where:
vf = final velocity
vi = initial velocity
t = time
Let’s examine the information provided in your query:
Initially, the vehicle was traveling at 25 m/s before coming to a halt. Thus, it was in motion and subsequently ceased moving, indicating that the final velocity is 0 m/s.
However, we notice that the problem does not provide a time value. We need to determine the time taken from when it was in motion to when it reached the traffic light located 20 m away.
The time can be calculated using the kinematics equation:
We derive the equation by substituting the known values first.
The duration from when it was in motion until it stopped is 1.6s. Now we can utilize this in our acceleration calculation.
It is important to note that the acceleration is negative, indicating the vehicle slowed down.
Answer:
The required energy remains identical in both scenarios since the specific heat capacity (Cp) does not change with varying pressure.
Explanation:
Given;
initial temperature, t₁ = 50 °C
final temperature, t₂ = 80 °C
Temperature change, ΔT = 80 °C - 50 °C = 30 °C
Pressure for scenario one = 1 atm
Pressure for scenario two = 3 atm
The energy needed in both scenarios is expressed as;
Where;
Cp denotes specific heat capacity, which only varies with temperature and remains unaffected by pressure.
Hence, the energy required remains the same for both scenarios since specific heat capacity (Cp) is pressure-independent.
Answer:
Consequently, the temperature difference across the material will be 
Explanation:
In this case, we apply the Fourier Law of heat conduction expressed by the following equation:
(1)
Where k = thermal conductivity = 0.2 W/ mK
A= 1m^2 denotes the cross-sectional area
Q= 3KW signifies the heat transfer rate
is the temperature difference we need to determine
represents the thickness of the material
To isolate
from equation (1), we obtain:
Initially, we convert 3KW to W, resulting in:
With all variables accounted for, we can substitute and calculate:
Thus, the temperature difference across the material will be
Answer:
Explanation:
According to the principle of energy conservation
all kinetic energy will change into thermal energy to increase its temperature
Next, divide both sides by the object's mass
the resulting temperature change is expressed as
