A. A mass m is released from rest some distance above the ground. If it is...
A. A mass m is released from rest some distance above the ground. If it is subject to a force of air resistance F= cv^2, determine its terminal velocity.
B. That same mass is projected vertically upwards with an initial speed of V0. Determine the maximum height reached by the projectile. Express your answer in terms of the terminal velocity from part a.
C. Determine v(t) for that same mass as in part B and find the time it takes to reach its highest point. Express that time in terms of the terminal velocity in part A.
I was able to answer part A. Its v = sqrt(mg/c) but I don't
understand part B and C. I've sold problems like these before with
kinematic equations, but I don't understand how the V from part A
is placed in the equations.
The answers should contain both the V from part A and V0.
Homework Answers
Add Answer to:
A. A mass m is released from rest some distance above the ground. If it is...
A projectile is shot from the edge of a cliff 115 m above ground level with...
A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of v0 = 56 m/s at an angle of 35.0∘ with the horizontal, as shown in the figure A-Determine the time taken by the projectile to hit point P at ground level. B-Determine the distance X of point P from the base of the vertical cliff. C-At the instant just before the projectile hits point P, find the horizontal and the...
A projectile is shot from the edge of a cliff 115 m above ground level with...
A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of vo = 66 m/s at an angle of 35.0° with the horizontal, as shown in the figure (Figure 1). Figure 1 of 1 Vo 135.0 h=115 m X constants Part A Determine the time taken by the projectile to hit point P at ground level. Express your answer to three significant figures and include the appropriate units. o μΑ ?...
A projectile P of mass m is fired from a point 0 with initial speed v0 at launch angle φ0 above a...
A projectile P of mass m is fired from a point 0 with initial speed v0 at launch angle φ0 above a horizontal firing range. In addition to gravity, P is subject to the aerodynamic drag force by the surrounding air modeled as a quadratic function of speed where v is the velocity of P and k is a positive pa- rameter. 0 0 We are interested in studying the effect of Faero on various aspects of projectile motion. Since...
An object is dropped from some height above ground. Air resistance on the object is given...
An object is dropped from some height above ground. Air resistance on the object is given by Cv, where C = a coefficient of drag in units of N/ (m/s) and v = the object's velocity. Instructions: b)use newton second law and sum the forces on the mass in the y direction. Because v= negative and air resistance opposes motion. you must be careful of signs. Replace acceleration in the equation. d.)Seperate variables... put time on one side of the...
2. An object of 5 kg is released from rest 1000 meters above the ground level...
2. An object of 5 kg is released from rest 1000 meters above the ground level and allowed to fall under the influence of gravity. Assuming that the force due to air resistance is proportional to the velocity of the object with proportionality constant k = 50 kg/sec determine the formula for the velocity of the object 3. A rocket having an initial mass mo kg is launched vertically from the surface of the Earth. The rocket expels gas at...
An awkward shaped ball with mass of m = 0.125 kg is freely falling vertically from...
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.
Imagine that we release a rock of mass m (which is initially at rest) at the...
Imagine that we release a rock of mass m (which is initially at rest) at the surface of a lake and measure its position and velocity as functions of time while it sinks. The rock moves under the influence of three forces: gravity, buoyancy, and viscous drag. Let y represent the vertical position of the sinking rock, with the surface of the lake at y -0, and positive y upwards The net force on the rock is F =-[m-mdisplaced where...
A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 70.0m above ground level, and t...
A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 70.0m above ground level, and the ball is fired with initial horizontal speed v0. Assume acceleration due to gravity to be g = 9.80m/s2 . Part A Assume that the cannon is fired at time t=0 and that the cannonball hits the ground at time tg. What is the y position of the cannonball at the time tg/2? Answer is 52.5 Part...
A ball is thrown from a rooftop with an initial downward velocity of magnitude v0 = 1.1 m/s. The rooftop is a distance above the ground, h = 46 m.
A ball is thrown from a rooftop with an initial downward velocity of magnitude v0 = 1.1 m/s. The rooftop is a distance above the ground, h = 46 m. In this problem use a coordinate system in which upwards is positive. Part (a) Find the vertical component of the velocity, Vfy, in meters per second, with which the ball hits the ground. Part (b) If we wanted the ball's final speed to be exactly 27.3 m/s from what height, hnew (in...
2 A particle falling from rest in a vertical line in a medium with resistance kv...
2 A particle falling from rest in a vertical line in a medium with resistance kv per unit mass, k is a constant, v is the velocity at any time and position x, prove that it acquires a speed 9. -2kh 1 - e T is the terminal velocity given by a distance h, where in falling through T A particle projected upwards in the same medium with initial speed V, and returns to the point of projection with speed...
A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of vo = 66 m/s at an angle of 35.0° with the horizontal, as shown in the figure (Figure 1). Figure 1 of 1 Vo 135.0 h=115 m X constants Part A Determine the time taken by the projectile to hit point P at ground level. Express your answer to three significant figures and include the appropriate units. o μΑ ?...
A projectile P of mass m is fired from a point 0 with initial speed v0 at launch angle φ0 above a horizontal firing range. In addition to gravity, P is subject to the aerodynamic drag force by the surrounding air modeled as a quadratic function of speed where v is the velocity of P and k is a positive pa- rameter. 0 0 We are interested in studying the effect of Faero on various aspects of projectile motion. Since...
2. An object of 5 kg is released from rest 1000 meters above the ground level and allowed to fall under the influence of gravity. Assuming that the force due to air resistance is proportional to the velocity of the object with proportionality constant k = 50 kg/sec determine the formula for the velocity of the object 3. A rocket having an initial mass mo kg is launched vertically from the surface of the Earth. The rocket expels gas at...
Imagine that we release a rock of mass m (which is initially at rest) at the surface of a lake and measure its position and velocity as functions of time while it sinks. The rock moves under the influence of three forces: gravity, buoyancy, and viscous drag. Let y represent the vertical position of the sinking rock, with the surface of the lake at y -0, and positive y upwards The net force on the rock is F =-[m-mdisplaced where...
2 A particle falling from rest in a vertical line in a medium with resistance kv per unit mass, k is a constant, v is the velocity at any time and position x, prove that it acquires a speed 9. -2kh 1 - e T is the terminal velocity given by a distance h, where in falling through T A particle projected upwards in the same medium with initial speed V, and returns to the point of projection with speed...
Most questions answered within 3 hours.
-
At the beginning of the year, Palermo Brothers, Inc., purchased
a new plastic water bottle making...
asked 50 seconds from now -
1. Mini Case Study: Suppose that, in the future, most jobs will
be bid upon by...
asked 23 seconds ago -
For this Discussion, you examine a case study of
hearing-impaired children who developed their own language...
asked 46 seconds ago -
The moment of inertia of a disk rotating about its axis of
symmetry is Icm=1/2MR^2
The...
asked 7 minutes ago -
When using a relational database what makes data
formatting so important and critical to the functions...
asked 18 minutes ago -
The following temperatures show the (fictional) daily low
measured at O'Hare airport every January 1st from...
asked 38 minutes ago -
Your friend is interested in the characteristics of fast tree
planters. He searched through the records...
asked 45 minutes ago -
. 0.67 g of Ag is deposited electrolytically from
AgNO3 after a certain period of time...
asked 46 minutes ago -
assuming that the boric acid, h3po3 present at the end of the
borax tritation has a...
asked 45 minutes ago -
When a carbonate solution is acidified, carbon dioxide is
produced.
2H+(aq) + CO32-(aq) → H2O(l) +...
asked 1 hour ago -
A reaction has the following rate law: Rate =
kr[A][B]2. In experiment 1, the
concentrations of...
asked 1 hour ago -
king owns a large number of public pay phones. as rhe use of
payphones decline deamatically,...
asked 1 hour ago