An awkward shaped ball with mass of m = 0.125 kg is freely falling vertically from the top of a tower. The drag force on the ball is given by the relationship FD= bv2 + cv + d where b = 7 kg/m, c = 25 kg/s, d = 0.5 kgm/s2, and v is the velocity of the ball. Using this information determine the terminal velocity of the ball.
At terminal velocity
FD = Fg
bv2 + cv + d = mg
7v2 + 25v + 0.5 = 0.125 x 9.8
v = 0.0288 m/s
An awkward shaped ball with mass of m = 0.125 kg is freely falling vertically from...
1. A rocket is launched vertically from the Earth, and the thrust (pushing force) from the engines is directed upward, and has a magnitude of 5.00 x 106 N. The mass of the rocket is initially 2.00 x 105 kg. (a) What is the initial acceleration of the rocket, assuming you can neglect air resistance? (b) After the rocket has been in flight for a while, burning and exhausting a lot of fuel, its mass has decreased to 1.20 x 105 kg, and...
in this lab we will drop a steel ball P steel=8000 kg/m^3, r ball=2.18x10^-3) through the air (nair=1.8x10^-5 Pas, P air= 1.29kg/m^3) and through a viscous soap solution (n soap ~ 9.0 Pa s) you will measure this number in lab, but use this number for prelab.( P soap = 1000kg/m^3) 1Pa= 1N/m 1. (a) assuming that the ball falling through the soap solution experiences visocus drag, find the terminal speed of the ball, the speed at which the weight...
4) Conisder the slope field in Figure 1. Assuming that this is modeling a falling object subject to a drag force state the terminal velocity of the object. Furthermore assuming that g 9.8 m/s2 and the mass of the object is 40 kg, state the value of the drag coefficient, γ. Figure 1 v(r) 98 20 30 40 50
2-7 Freely Falling Objects Example 2-15: Thrown down from a tower Galileo now throws the ball downward with an initial velocity of 3.00 m/s (a) What then would be its position after 1.00 s and 2.00 s? (b) What would its speed be after 1.0 s and 2.0 s? Compare with the speeds of a dropped ball.
Billiard ball A of mass mA = 0.125 kg moving with speed vA = 2.80 m/s strikes ball B, initially at rest, of mass mB = 0.140 kg . As a result of the collision, ball A is deflected off at an angle of θ′A = 30.0∘ with a speed v′A = 2.10 m/s, and ball B moves with a speed v′B at an angle of θ′B to original direction of motion of ball A. Part C Solve these equations...
A small ball has a mass of 2.3 g and a terminal speed of 9.0 m/s. The drag force is of the formbv2 a) How much is the acceleration when the terminal speed is reached? b) Calculate the magnitude of the drag force when the terminal speed is 5. reached c) What is the value of b? g = 9.8 m/s2
A stone with mass m = 0.700 kg is thrown vertically upward into the air with an initial kinetic energy of 610 J. The drag force acting on the stone throughout its flight is constant, independent of the velocity of the stone, and has a magnitude of 0.600 N. What is the maximum height reached by the stone? What is the speed of the stone upon impact with the ground?
0. A car has a mass of 2,000 kg. It is known that the velocity is 20 m/s when the acceleration is 3 m/s. If drag resistance on the car due to wind is Fp-(0.2v) N, where v is the velocity.in m/s. The engine efficiency is 0.75. Determine the power supplied to the engine at this instant. The friction can be ignored. (15 points) D F V FD=0.2.20 FD=80 w=2000.9.3) 1962ON 2 Figure 5. Problem 6 2000.3 (=zon's = 3...
3. In lecture, we derived the detailed time-dependence of the downward speed of a falling object with a kv frictional force. Perform the analogous derivation of the time-dependence of the speed v(t) for a falling object subject to air drag, Farag-DV2 a. First use Newton's second law for a vertically falling mass m to find an equation relating dt to v(t). b. Integrate this equation. Let the initial velocity be v(0) = 0 at t = 0. c Make a...
a
ball with mass of 8.00kg...
2. A ball with mass of 8.00 kg is thrown downward with a speed of 15.0 m/s. When it has dropped 10.0 m, its speed is 18.0 m/s. While falling, the ball has an upward, constant drag force of unknown magnitude D. What is D? Ans: 38.9 N 3. A 2.00 kg object is attached to a Hooke's Law spring with k = 250 N/m. When the spring is compressed by 16.0 cm, the...