A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations ² = Ae k - (upward motion) k - Be (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cq/m where c, is the drag constant and m is the mass of the bullet. (Note: x is measured positive upward, and the gravitational force is assumed to be constant.)
Q: A circular hovercraft, of weight Mg, hovers a distance h above the ground, as shown in Figure P4.47.…
A: Since the flow rate of mass is constant. So we can write,
Q: skater of mass m standing on ice throws a stone of mass M with speed v in a horizontal direction.…
A:
Q: A courier is delivering a 5 kg package to an office high in a tall building. (a) What upwards…
A:
Q: 4. A dog of mass Md is standing on a raft so that he is a distance Xdgi = L from the shore. He walks…
A: Given : m1 = Md m2 = Mb Xdgi = L ∆xds = d m1 → mass…
Q: A package with mass m is released from an airplane traveling with a horizontal velocity v. The…
A: Assumption: The air resistance on the package is equal to zero. Let the horizontal component of the…
Q: In the diagram mass M rests on a frictionless surface and is connected to a counterweight m by a…
A:
Q: mp 2. A person of mass m, slides down a playground slide of length / with friction. The slide makes…
A: The forces are overlaid in the diagram below, When the person slides with constant velocity the…
Q: A block is given an initial speed of 4.4 m/s up the 22° plane shown in the figure (Figure 1). Figure…
A: Given thatInitial speed of the blockThe angle of inclinationTo determine that(a)how far up the plane…
Q: If we simplify the model for a mammal's heart, it pumps about 23 g of blood, accelerating it from 25…
A:
Q: Using the values in the table, make a graph in excel and determine the value of the coefficient of…
A: Coefficient of kinetic friction = slope of Normal strength- applied force graph The applied force is…
Q: An object of mass 12 kg is pulled up a smooth slope, inclined at 45◦ to the horizontal, by a string…
A: Given data The mass of the object is given as m = 12 kg. The angle of inclination is given as…
Q: ormula for the drag force is F- dv' (found to be valid for a large regime of dataere: s the drag…
A:
Q: The Hindenburg departed from Frankfurt, Germany on May 3 and was heading to Lakehurst Naval Air…
A:
Q: Figure below shows a body of mass m attached to a spring of stiffness k. Find the differential…
A:
Q: The resistance of air to the motion of bodies in free fall depends on many factors, such as the size…
A: Please see the answer below. Note: The first three sub-parts are answered below by following the…
Q: An object of mass 200 kg is released from rest from a boat into the water and allowed to sink. While…
A: Given:mass of the object, m = 200 kgbuoyant force, Fb = W50 water resistance firce, Fr =…
Q: A block of mass M with a contact area A slides down an inclined plane with a coefficient of friction…
A: The free-body diagram of the block is shown below. Here, m is the mass, N is the normal force, and…
Q: A tiny particle of mass 4 x 10-4 kg (so fdrag = bv) has a drag coefficient, b = 3.3 x 10-2 kg/sec.…
A: Given, mass =4 x 10-4 kg drag coefficient, b = 3.3 x 10-2 kg/sec Let terminal velocity be Vterm m/s…
Q: A block with mass m is set into motion up an inclined plane with an initial speed of v. The block…
A: We have to draw free body diagram
Q: Figure below shows a body of mass m attached to a spring of stiffness k. Find the differential…
A: Second-order differential equations are used to model different physical situations in physics and…
Q: It is found that when a particular object with a mass of 0.41 kg is released from rest while…
A: Given data: Mass of the object, m = 0.41 kg, Coefficient of proportionality in the resistive force,…
Q: Block A in the figure (Figure 1) weighs 1.21 NN and block B weighs 3.61 NN . The coefficient of…
A: Kinetic friction The kinetic friction is mentioned as a force of inverse action among a pair of…
Q: In procedure 2, you found the coefficient of kinetic friction by measuring the acceleration of a…
A: Required :: The change in the value of the coefficient of kinetic friction.
Q: Fp = Fg b vž = mg mg Vr = b Mr. Aikins dropped from a height of 7.7 km. In less than 20 seconds he…
A: (a) Given: The height from which Me Aikins dropped is 7.7 km. The density of air at sea level is…
Q: Consider an inclined plane with a 1 kg block on it. The plane makes an angle of 34 degrees with the…
A:
Q: A wedge with mass M rests on a frictionless horizontal table top. A block with mass mis placed on…
A: Given Data:The mass of the wedge is M.The mass of the block on the wedge is m.No friction between…
Q: Compute the motion of the block in terms of time, if the block is initially released from position…
A: The problem is about a block that is initially released from a position x=2 with zero speed. The…
Q: A mass M = 12.0 kg is pulled up an incline plane by a F = 170 N. The plane angle is 30o with respect…
A:
Q: 0.9 kg box is sliding across the floor and the force of friction is slowing it down at a rate of -…
A: m=0.9 Kg (mass of the box)a=-0.6m/s2 (deceleration)
Q: A block is being pulled by the string as shown below. The string has a angle with the horizontal. A…
A: The given expression by the student is wrong as the normal force will also have the vertical…
Q: Figure shows the velocity graph of a 65 kg student in an elevator. What is the student's apparent…
A:
Q: A dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of e to the…
A: Mass of particle: m = 7.1 kg Velocity of particle at t=0 : u = 4 m/s Velocity of particle at t = 3 :…
Q: dler?action=activityBranding&COURSEID=3377&SECTIONID=170728 5 2 2 art 1 art 2 1. Two blocks are…
A:
Q: A block of mass 8 kg moves in a straight line On a friction horizontal surface (u = 0.35), its…
A:
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 25 images
- The mass of a sports car is 1100 kg. The shape of the car is such that the aerodynamic drag coefficient is 0.250 and the frontal area is 2.20 m2. Neglecting all other sources of friction, calculate the initial acceleration of the car, if it has been traveling at 80 km/h and is now shifted into neutral and is allowed to coast. (Take the density of air to be 1.295 kg/m3.) Answer:_____m/s2Fill up the blanksCalculate the resultant ground reaction force during the inital contact phase (to the nearest whole number) given the following data vertical force Z =995 N and horizontal force X = -261 N Answer e to search E D Check C R F V Bi T G St 6 B H N J 8 M L O P₂ P ? ctri greeus / 3 pause 5°C Mostly cloudy # lock 7 home 4 Next page 1 12:15 30/11/2023 8
- Two blocks of masses m, = 4.0 kg and mg = 8.0 kg are connected with a string that passes over a very light pulley (Figure 1). Friction in the pulley can be ignored. Block 1 is resting on a rough table and block 2 is hanging over the edge. The coefficient of friction between the block 1 and the table is 0.70 (assume static and kinetic friction have the same value). Block 1 is also connected to a spring with a constant 300 N/m. In the initial state, the spring is relaxed as a person is holding block 2, but the string is still taut. When block 2 is released, it moves down for a distanced until it stops (the final state). Figure 1 of 1A 547g squirrel with a frontal surface area of 0.0145m2 falls to the ground from a 5.3m tree. Assume the density of air is 1.21kg/m3. Neglecting the drag force, what is the velocity, in meters per second, of a 56kg person after falling, from rest, by that same distance?Consider an object on an incline where friction is present. The angle between the incline and the horizontal is θ and the coefficient of kinetic friction is μk. a.) Find an algebraic expression for the acceleration of this object. Treat down the incline as the positive direction. b.) Calculate the acceleration, in meters per second squared, of this object if θ = 31° and μk = 0.34. Treat down the incline as the positive direction.
- The weight of an airplane varies with the cube of the plane’s length. The lift generated by an airplane’swings varies with the square of the plane’s length. . Find the particular lift equation for the same plane, given that it generates 5000 pounds of lift.A soldier jumps from a plane and opens his parachute when his velocity reaches the terminal velocity Vr. The parachute shows him down to his landing velocity of Vr. After the parachute is deployed, the air resistance force is proportional to the velocity squared, i.e., F = kV², where k is resistance coefficient. The soldier, his parachute, and his gear have a total mass of m. (a) Show that k = mg/V; (b) Develop a relation for the soldier's velocity after he opens the parachute at time 1 = 0. Parachute Figure Q5