What is the relationship between drag force and velocity?

What is the relationship between drag force and velocity?

Unlike other resistive forces, such as dry friction, which are nearly independent of velocity, drag force depends on velocity. Drag force is proportional to the velocity for low-speed flow and the squared velocity for high speed flow, where the distinction between low and high speed is measured by the Reynolds number.

What is the relationship between mass and terminal velocity?

We see from this relation that the terminal velocity of an object is proportional to the object’s mass! The more massive an object, the faster it falls through a fluid. The terminal velocity of a sphere of given material (fixed ρ) varies directly with the square of the radius.

What is the formula for bungee jumping?

We calculate the spring constant of the bungee cord: k = F/x = mg/x = 15.2 N/m. If we release Cosmo at the position where the other end of the bungee cord is attached, he falls until the force of the stretched cord finally stops him at the bottom of his fall.

How long is the cord when she reaches maximum speed?

49m How long is the cord when she reaches maximum speed? 96.1 m What is the student’s maximum speed? 38.1 m/s Hint: The student stops gaining speed when the spring force is equal to her weight. Find this location, then apply conservation of energy with the reference level at this height.

Why is drag force proportional to velocity?

To put it in simple terms, at slow speed the drag is just due to the viscosity of the fluid. At high speed, the momentum you’re imparting to each parcel of air is proportional to the speed, and the number of parcels of air per second you’re doing it to is also proportional to speed.

Is force proportional to velocity?

It states that the time rate of change of the velocity (directed speed), or acceleration, , is directly proportional to the force F and inversely proportional to the mass m of the body; i.e., a = F / m or F = ma; the larger the force, the larger the acceleration (rate of change of velocity); the larger the mass, the …

Does terminal velocity depend on weight?

The weight of the object does affect the air drag force on the object and, therefore, its terminal velocity. However, it is not the most important factor.

Why does terminal velocity increase with mass?

heavy objects will have a higher terminal velocity than light objects. It takes a larger air resistance force to equal the weight of a heavier object. A larger air resistance force requires more speed.) Therefore, heavy objects will fall faster in air than light objects.

Why do bungee jumpers have to know the length the bungee will stretch to?

The jumper M falls vertically downward during the fall, and the falling part of the bungee cord remains directly below him during the initial part of the fall where the bungee cord is slack. Friction and air resistance can be neglected. Thus, the length of the bungee cord is approximately L.

What is the physics behind bungee jumping?

The tension force increases as the cord stretches and will eventually become greater than the force of gravity, causing a switch in direction. The acceleration is now upwards. When the cord reaches its full stretching potential, it retracts, which causes the bungee jumper to fling upwards.

How does the speed of waves in a string depend on?

Sp eed of Waves in a Stretched Strin g: The speed of waves in a stretched string depends on the tension F in the string as well as the mass per unit length μ of the string as explained below: The more a string is stretched, the faster waves travel in it.

How is the length of a string related to the tension?

The length between the fixed boundary conditions is L. The hanging mass provides the tension in the string, and the speed of the waves on the string is proportional to the square root of the tension divided by the linear mass density.

What happens when a string reaches an end point?

When it reaches an end point, it reflects and inverts and travels toward the other end. Fig. 1 shows the motion of a single disturbance. If you hold end A of the string ( Fig. 2) and try to give it a continuous up-and-down motion, with a little adjustment of the pace of oscillations, you can make at least the following waveforms:

How is the force of a spring related to its length?

The force exerted by a spring on objects attached to its ends is proportional to the spring’s change in length away from its equilibrium length and is always directed towards its equilibrium position.