a) The net force at the point of fuel ignition is F = A = 100 N.
b) Acceleration after fuel ignites is a = 12.5 m/s^2
c) The net force on the rocket at t=3.00 s is 403 N.
d) Acceleration of rocket 3.00 ss after fuel ignites is a = 50.4 m/s^2
e) Acceleration in outer space is a = 50.4 m/s^2
How the solution was obtainedA. The force at t=0 is given as 100 N, so A = 100 N. We can use the given information to find B:
F = A + Bt^2
162 N = 100 N + B(2.00 s)^2
B = (162 N - 100 N) / (2.00 s)^2
B = 31 N/s^2
Therefore, the net force on the rocket at t=0 is:
F = A = 100 N.
B. The acceleration of the rocket is given by Newton's second law:
F_net = ma
where F_net is the net force acting on the rocket, and a is the acceleration of the rocket. At t=0, the net force on the rocket is 100 N. Therefore, the acceleration of the rocket at t=0 is:
a = F_net / m
a = 100 N / 8.00 kg
a = 12.5 m/s^2
C. To find the net force on the rocket at t=3.00 s, we can simply plug in t=3.00 s into the force equation:
F = A + Bt^2
F = 100 N + 31 N/s^2 (3.00 s)^2
F = 403 N
Therefore, the net force on the rocket at t=3.00 s is 403 N.
D. To find the acceleration of the rocket at t=3.00 s, we can use the same equation as in part B:
F_net = ma
At t=3.00 s, the net force on the rocket is 403 N. Therefore, the acceleration of the rocket at t=3.00 s is:
a = F_net / m
a = 403 N / 8.00 kg
a = 50.4 m/s^2
E. In outer space, far from all gravity, the only force acting on the rocket is the force from the burning fuel. Therefore, the net force on the rocket is simply the force from the burning fuel:
F = A + Bt^2
F = 100 N + 31 N/s^2 (3.00 s)^2
F = 403 N
Using the same equation as in part B, the acceleration of the rocket is:
a = F_net / m
a = 403 N / 8.00 kg
a = 50.4 m/s^2
Therefore, the acceleration of the rocket in outer space would be the same as in part D.
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Quantity with kgm^3/s^1
The quantity cannot be expressed in [tex]kgm^3/s^1[/tex] as this is not a valid unit of measurement.
What is a quantity?A quantity is a measurable amount of something, such as length, weight, time, or area. It is usually expressed as a numerical value, such as 3 meters, 5 kilograms, or 10 minutes. Quantities can be compared and combined to form new quantities. For example, adding two lengths of 3 meters each yields a new quantity of 6 meters.Quantities are used to describe physical phenomena and to measure the results of experiments.
A unit of quantity is a standard measurement used to measure the amount of a particular item. This can be a single unit, such as a kilogram, or a group of units, such as a dozen eggs. Units of quantity are used to help standardise measurements and allow for easier comparison between different products.
The quantity cannot be expressed in [tex]kgm^3/s^1[/tex] as this is not a valid unit of measurement. The correct unit for this quantity is kg/s.
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Can quantity be expressed by [tex]kgm^3/s^1[/tex]?
A car is driving counterclockwise on a circular path, moving at non-uniform speed. The small black circles in the figure show the position of the object in equal intervals of time.
a- The x component of the instantaneous acceleration at B is negative, positive or zero? Why?
b- The y component of the instantaneous acceleration at B is negative, positive or zero? Why?
a- The instantaneous acceleration at B has a negative x component.
b- The instantaneous acceleration at B has a positive y component.
Explain about the uniform circular motion?We refer to a particle as being in uniform circular motion when it is traveling in a circular path (and perhaps a portion of one) at a constant speed.
The object is accelerating despite the fact that its speed is remaining constant because of a change in direction in its velocity (v).We refer to a particle moving uniformly around a circle as having a centripetal acceleration owing to the direction of the acceleration, which is toward the center.It is useful to discuss the time T required for the particle to accomplish one full trip around the circle if the particle consistently follows a complete circular path. This is referred to as the motion's period.On a round, counterclockwise route, an automobile is traveling at an irregular speed.
The position of a object is depicted in the figure's tiny black circles at regular intervals of time.
a- The instantaneous acceleration at B has a negative x component.
Because the x-component of the velocity will be be along the negative x axis, which will be directed towards point D.
b- The instantaneous acceleration at B has a positive y component. Because, the y-component of the velocity will be be along the positive y-axis, which will be directed towards point C.
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3. What is the electrostatic force of attraction between a -5.8 x 10-7C charge and a 3.8 x 10-8C charge if they are separated by a distance of 4.4 meters?
Answer:
1.73 x 10-7 N
Explanation:
3. What is the electrostatic force of attraction between a -5.8 x 10-7C charge and a 3.8 x 10-8C charge if they are separated by a distance of 4.4 meters?
The electrostatic force of attraction between two charges can be calculated using Coulomb's law, which states that the force of attraction is inversely proportional to the square of the distance between them. In this case, the two charges are -5.8 x 10-7C and 3.8 x 10-8C and they are separated by a distance of 4.4 meters. Plugging these values into Coulomb's law, the electrostatic force of attraction is 1.73 x 10-7 N.
1 /B 1 B 1 1/ Q B A A space ship, initially traveling at constant velocity along a straight line, decides to switch course. It first fires it's engine at full power for a very short time in the direction perpendicular to its trajectory at point A, giving it an instantaneous large boost. Then at point B, it fires its engine continuously at a much lower power in the opposite direction until it reaches point C. Which of the following trajectories most closely represent the trajectory of the ship? R Search listening t... KWFinder: Keywor... A space ship, initially traveling at constant velocity along a straight line, decides to switch course. It first fires it's engine at full power for a very short time in the direction perpendicular to its trajectory at point A, giving it an instantaneous large boost. Then at point B, it fires its engine continuously at a much lower power in the opposite direction until it reaches point C. Which of the following trajectories most closely represent the trajectory of the ship? Pick the correct answer 0 1 g 2 O 3 o 4 o 5 Submit
The spaceship undergoes an instantaneous change in velocity at point A and then undergoes a continuous change in velocity at point B until it reaches point C. The trajectory of the spaceship is therefore curved and can be represented by one of the given options.
What is Instantaneous Velocity?
Instantaneous velocity is the velocity of an object at a specific moment in time or at a specific point in its motion. It is the limit of the average velocity as the time interval over which it is calculated approaches zero. In other words, it is the slope of the tangent to the position-time graph at a particular point.
To calculate the instantaneous velocity of an object, you need to determine the object's position at a specific moment in time and then take the derivative of the position function with respect to time. The resulting derivative gives you the object's instantaneous velocity at that specific moment in time.
Instantaneous velocity is important in physics and many other fields because it allows us to understand the behavior of objects in motion and to calculate important quantities such as acceleration, momentum, and energy.
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It takes tiffany 0. 25 hours to get to school in the mornings. She lives 4. 5 miles away from the school. At what speed (in miles per hour) is she traveling to get there?.
If It takes Tiffany zero.25 hours to get to school in the mornings. She lives 4.5 miles far away from the faculty, then the speed of traveling off the Tiffany would be 28.96 kilometers per hour.
velocity of touring = general distance traveled by means of the Tiffany / general time
velocity of touring = 4.5 × 1.609 / 0.25
= 28.96 kilometers per hour
Speed in physics is a scalar quantity that refers to the rate at which an object moves, usually expressed in units of meters per second (m/s) or kilometers per hour (km/h). It is defined as the distance an object travels per unit of time, which means that it only takes into account the magnitude of the object's motion and not its direction.
Instantaneous speed refers to the speed of an object at any given moment, while average speed is calculated over a period of time. The speed of an object can be influenced by several factors, such as the forces acting upon it and the medium through which it is moving.
In addition to speed, there are other related concepts in physics, such as velocity, which includes both the speed and direction of an object's motion, and acceleration, which describes the fee at which an item's speed modifications over time.
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