Velocity depends on the straight-line distance between your start-point and your end-point, regardless of what route you follow to get there.
If you stop at the same point where you started, then that distance is zero, no matter how far you drove before you returned to your start-point.
So the average velocity around any "CLOSED" path is zero. (A)
Answer:
The vertical trajectory is governed by Ordinary Differential Equation.
Time derivatives of each state variables.
d(d)/dt = v, d(m)/dt = -d(m-fuel)/dt, d(v)/dt = F/m.
Where V is velocity positive upwards, t is time, m is mass, m-fuel is fuel mass, F is Total force, positive upwards.
Therefore,
F = -mg - D + T, If V is positive and
F = -mg + D - T, If T is negative.
D is drag and the questions gave it as zero.
Explanation:
The two sign cases in derivative equations above are required because F is defined positive up, so the drag D and thrust T can subtract or add to F depending in the sign of V . In contrast, the gravity force contribution mg is always negative. In general, F will be some function of time, and may also depend on the characteristics of the particular rocket. For example, the T component of F will become zero after all the fuel is expended, after which point the rocket will be ballistic, with only the gravity force and the aerodynamic drag force being p
Answer:
The period of the pendulum is
Explanation:
The diagram illustrating this setup is shown on the first uploaded image
From the question we are told that
The length of the rod is
The diameter of the ring is
The distance of the hole from the one end
From the diagram we see that point A is the center of the brass ring
So the length from the axis of rotation is mathematically evaluated as
Now the period of the pendulum is mathematically represented as
30 m
30 in
What is Greta's average velocity over the 240s period?
m/s
What is Greta's average speed over the 240s period?
m/s
Average velocity: 0 m/s. Average speed: 0.25 m/s. Greta returns to her starting point, so her displacement is 0m.
Greta's average velocity is 0 m/s because she ends up at the same point where she started. Her displacement is 0 meters, and since velocity is displacement divided by time, her average velocity is 0 / 240 = 0 m/s.
Her average speed, on the other hand, is calculated using the formula: Average Speed = TotalDistance / Total Time.
Initially, Greta walks 30 meters away from her truck, and then she returns 30 meters back to her starting point. So, the total distance she covers is 30 + 30 = 60 meters. Her total travel time is 240 seconds.
AverageSpeed = 60 meters / 240 seconds = 0.25 m/s.
In summary, Greta's average velocity is 0 m/s because her net displacement is 0 meters. Her average speed is 0.25 m/s because she covers a total distance of 60 meters in 240 seconds.
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Answer:
0 | for Velocity
.25 | for speed
Explanation:
2 A. What is the resistance of the iron?
3. A current of 0.2 A flows through an electric bell having a resistance of 65 ohms. What must be
the applied voltage in the circuit?
Answer:
(1) 0.04 ohms (2) 55 ohms (3) 13 volt
Explanation:
(1) The resistance of an electric device is 40,000 microhms.
We need to convert it into ohms.
To covert 40,000 microhms to ohms, multiply 40,000 and 10⁻⁶ as follows :
(2) Voltage used, V = 110 V
Current, I = 2 A
We need to find the resistance of the iron. Using Ohms law to find it as follows :
V = IR, where R is resistance
(3) Current, I = 0.2 A
Resistance, R = 65 ohms
We need to find the applied voltage in the circuit. Using Ohms law to find it as follows :
V=IR
V = 0.2 × 65
V = 13 volt
Answer:
1. 0.04 Ohms
2. 55 Ohms
3. 13 Volts
Explanation:
Penn Foster
A. 4N
C. 16N
B. 8N
D. 32 N
The force being exerted on the 16-kg cart is 32N.
The force being exerted on the 16-kg cart can be determined using Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In the given graph, the cart is accelerating at a rate of 2 m/s2. Therefore, the force can be calculated as:
force = mass x acceleration
force = 16 kg x 2 m/s2 = 32 N
The 16-kg cart experiences a force of 32N, determined by applying Newton's second law of motion. According to this law, force equals mass multiplied by acceleration. In this scenario, the cart accelerates at a rate of 2 m/s². Substituting the values into the equation, the force exerted on the cart can be calculated as 16 kg multiplied by 2 m/s², resulting in a force of 32 N. This fundamental principle in physics establishes a quantitative relationship between force, mass, and acceleration.
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Answer:
D
Explanation:
Answer:
For 25-turn electromagnet, Number of clips = 4.1
For 50-turn electromagnet number of clips = 9.6
Explanation:
To calculate the slope of the 25-coil line and the 50-coil line to determine the average number of paper clips that a 1 V battery would pick up.
Hence;
Using the equations gotten from the graph in the previous question and 1.0 V as the value for x, we get
For 25-turn electromagnet y = 3.663x * 0.5
(rounded to one decimal place) Number of clips = 4.1
For 50-turn electromagnet y = 7.133x 2.5
(rounded to one decimal place) Number of clips = 9.6