WE know that ~x*~p>=h/4*3.14
and ~p= m~v
so substitute value of ~p in above equqtion
The approximate minimum stream velocity needed to keep a particle in motion, such as a sphere with a diameter of 10 cm, can be estimated using Stokes' law and the concept of terminal velocity. For a particle in a fluid, the minimum velocity needed to keep it suspended typically equals the settling velocity, which depends on factors like fluid density and viscosity. In general, for a 10 cm diameter particle, the minimum velocity can range from about 0.1 to 0.5 meters per second, depending on the specific fluid properties.
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Minimum range refers to the shortest distance a projectile can travel when launched at a specific angle and initial velocity. It is influenced by factors such as launch speed, angle, and environmental conditions like air resistance. In practical terms, minimum range is often relevant in fields like ballistics, sports, and engineering, where understanding the trajectory of a projectile is essential for accuracy and effectiveness.
To find the speed limits, we can set variables for the minimum speed limit as ( m ) and the maximum speed limit as ( M ). Tony drove for 2 hours at the minimum speed, covering ( 2m ) miles, and for 3.5 hours at the maximum speed, covering ( 3.5M ) miles. The total distance Tony drove is given by the equation ( 2m + 3.5M = 355 ). Rae's distance isn't fully specified, so we cannot calculate her speed or distance without additional information.
As, in the velocity-time graph, curves passes through zero means 'when time is zero velocity is zero'. Velocity is time derivative of displacement. So displacement is maximum or minimum when time is zero in position-time graph.
vf2 = vi2 +ad, where vf is the final velocity, vi is the initial velocity, a is acceleration, and d is displacement. In physics, velocity is the change in position of an object over a given time interval, and change in position is displacement, rather than distance. To find displacement, manipulate the equation in the following manner. Assume vi is zero. vf2 = 0 + 2ad vf2 = 2ad vf2/2a = 2ad/2a vf2/2a = d
Some example problems that demonstrate the application of the Heisenberg Uncertainty Principle include calculating the uncertainty in position and momentum of a particle, determining the minimum uncertainty in energy and time measurements, and analyzing the limitations in simultaneously measuring the position and velocity of a quantum particle.
To find the minimum deceleration, you would need to calculate the change in velocity and time over which the deceleration occurs. Then, you can use the formula a = Δv / t, where a is the acceleration, Δv is the change in velocity, and t is the time. The minimum deceleration would be the smallest value calculated using this formula.
The minimum kinetic energy that can be calculated according to the uncertainty principle is known as the zero-point energy.
The escape velocity is derived from the gravitational potential energy and kinetic energy equations, taking into account the mass of the object and the distance from the center of the gravitational field. It represents the minimum velocity needed for an object to break free from the gravitational pull of a celestial body, such as a planet or a star.
To derive the escape velocity of an object from a celestial body, you can use the formula: escape velocity (2 gravitational constant mass of celestial body / distance from the center of the celestial body). This formula takes into account the gravitational pull of the celestial body and the distance of the object from its center. By calculating this value, you can determine the minimum velocity needed for an object to escape the gravitational pull of the celestial body.
The minimum velocity of the missile would depend on the time it takes for the missile to reach the target. If the missile travels 100 meters in 1 second, then the minimum velocity would be 100 m/s.
The weapon should be fired at a 45-degree angle from the horizontal to achieve the minimum distance traveled by the projectile. This angle maximizes the range (horizontal distance) of the projectile by balancing the vertical and horizontal components of its velocity. At any other angle, the total distance traveled would be greater.
The minimum initial velocity required for a projectile to reach a target 90 km away depends on the angle at which the projectile is launched, as well as the effects of air resistance and other factors. A common approach is to use projectile motion equations to determine the initial velocity needed for the projectile to cover the horizontal distance of 90 km in the given conditions.
The minimum steam velocity necessary to carry all sizes of sediments is called the critical velocity. This velocity is influenced by factors such as sediment size, shape, and density. In general, a higher velocity is required to transport larger and denser sediments.
The minimum angular velocity required to prevent spilling water is given by the equation ω = sqrt(g/L), where g is the acceleration due to gravity (approximately 9.81 m/s^2) and L is the length of the arms in meters (63 cm = 0.63 m). The distance from the handle to the center where the bucket is hanging does not affect this calculation. Thus, the minimum angular velocity can be calculated as ω = sqrt(9.81/0.63) ≈ 4.37 rad/s.
Escape velocity is the velocity that an object needs in order to reach infinite distance, wherein the force will equal to zero. Orbital velocity is the velocity of an object so it can stay in orbit.