We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
A mass 50kg is shot up in the air at 412 m/scc. Assume the force in...
An object of mass 700 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b=50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? (Hint: Here the exponential term is too large to ignore. Use Newton's method to approximate the time t when the object...
ng 20uu n object of mass 8 kg is given an initial downward velocity of 30 m/sec and then allowed to fall under the y. Assume the force in newtons due to air resistance is -8e, where v is the velocity of the o object in m/sec. Assume the obj ect is initially 800m above the ground. JAssume the gravitational force constant, with g-9.8m/sec?, sign of g depends on your setting] (a) Write a DE describing the motion.[Hint: See pages...
A 50kg skydiver jumps out of an airplane. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv^2 where c=.1275 kg/m and is the velocity of the skydiver at time t (and upward is positive velocity). The gravitational constant is 9.8 m/s^2 . a) Find a differential equation for the velocity. b) Determine the terminal velocity in...
A 75 kg mass is shot from cannon straight up with an initial velocity of 20m/s off a bridge that is 150 meters above the ground. If air resistance is given by 5v determine the velocity of the mass when it hits the ground.
A projectile of mass 1.400 kg is shot straight up with an initial speed of 27.0 m/s. (a) How high would it go if there were no air resistance? m (b) If the projectile rises to a maximum height of only 27.2 m, determine the magnitude of the average force due to air resistance. N
1) A projectile of mass 1.400 kg is shot straight up with an initial speed of 27.0 m/s. (b) If the projectile rises to a maximum height of only 27.2 m, determine the magnitude of the average force due to air resistance. _______ N
A shill of mass 5ko is shot upward with an initial velocity of 150 misec. The magnitude of the farce on the shell due to air resistance is 20 Whan will h shell rach its maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s When will the shell reach its maximum height above the ground? The shell will reach maximum height after seconds. Round to two decimal places as...
5. In certain circumstances, we can model the velocity of a falling mass subject to air resistance as - dv m7 = mg – kv?, where v (t) is the velocity of the object, m is the mass of the object, g is acceleration due to gravity, and k is a constant of proportionality. Assume the positive direction is downward. (a) Solve this equation subect to the initial condition v (0) = vo. (b) What is the terminal velocity of...
A ball of mass 0.083 kg is shot straight up in the air using a compressed spring. The spring has a spring constant of 328 N/m and is compressed by 0.05 m initially. The ball reaches a height of 0.252 m above the initial position. How much energy has dissipated due to frictional effects such as air drag ? (in J)
Please solve using differential equations methods, thanks. A 50 kg object is shot from a cannon straight up with an initial velocity of 10m/s off a bridge that is 100 meters above the ground. If air resistance is given by 5v' determine the velocity of the mass at any time t.