Two horizontal forces act on a 5.0-kg mass. One force has a magnitude of 8.0 N and is directed due north (along +y axis). The second force has a magnitude of 6.0 N and is directed due east (along +x axis). What is the acceleration of the mass?
Comment on how the various safety features in new cars work to minimize injury. (Don't limit your discussion to seat belts.) discuss the origins of forces in terms of velocity, distance, time, and acceleration.
We have a uniform rod of length 2l balanced vertically on the floor, and then allowed to fall. I need the angular velocity and angular acceleration when the rod makes an angle (theta) WITH THE VERTICAL. In this situation, the floor is smooth and slipping occurs. I need to solve this using both the conservation law AND equations
A horizontal force F is applied to a mass m which is equal to the mass weight. If the dynamic coefficient of friction between mass and slope is µ, show that the acceleration a up a slope 30 degrees is given by: a = g(0.366 1.366µ) Show and describe workings.
A 1000kg aircraft going 25 m/s collides with a 1500 kg aircraft that is parked and they stick together after the collision and aregoign10m/s after the collision. If the skid for 14.7s before stopping how far did they skid?
see attachment please 14) A force F acts to the right on a 5.32 kg block. A 2.44 kg block is stacked on top of the 5.32 kg block and can slide on it with a coefficient of friction of 0.11 between the blocks. The table has a coefficient of friction of 0.19. The acceleration of gravity is 9.8 m/s2. The acceleration of gr
9) The surfaces between a 6 kg block, the 24 kg wedge and between the 24 kg wedge and the horizontal plane are smooth (without fric-tion). The acceleration of gravity is 9.8 m/s2 . A block is released on the inclined plane (top side of the wedge).
A flowerpot falls from the ledge of an apartment building. a person in an apartment below, coincidentally holding a stopwatch, notices that it takes 1 s for the pot to fall past his window, which is 17 m high. How far above the top of the window is the ledge from which the pot fell? The acceleration of gravity is 9.8 m/s^2 A
A ball is thrown vertically upward with an initial speed of 22 m/s. Then, 0.67s later, a stone is thrown straight up (from the same initial height as the ball) with an initial speed of 37 m/s. How far above the release point with the ball and stone pass each other? The acceleration of gravity is 9.8 m/s^2. Answer in units
An airport has runways only 197 m long. A small plane must reach a ground speed of 43 m/s before it can become airborne. What average acceleration must the plane's engine provide if it is to take off safely from its airport. Answer in units of m/s.
Problem 15.118 attached here from the textbook named " Mechanics for Engineers" Dynamics 4th ed. Ferdinand P.Beer & E.Russell Johnston, Jr. Although I knew the answers as shown yet but I want an explanation that how to find velocity and acceleration both of magnitude and direction. For clarity v= 706 mm/s and 40.9 degree from
See attached file for proper formatting. 1.7. Which of the following equations are dimensionally correct? (a) vf = vi + ax (b) y = (2 m)cos(kx), where k = 2 m-1. 1.26. The radius of a solid sphere is measured to be (6.50 ± 0.20) cm, and its mass is measured to be (1.85 ± 0.02) kg. Determine the density of the sphere i
A boy drags his 60-N sled at constant speed up a 15° hill. He does so by pulling with a 25-N force on a rope attached to the sled. If the rope is inclined at 35° to the horizontal, (a) what is the coefficient of kinetic friction between the sled and the snow? (b) At the top of the hill, he jumps on the sled and sli
See attached graph. Two blocks of masses m and 4m are connected by a light string passing over a fixed pulley as shown in the figure. The mass 4m is on a smooth horizontal surface and is pushed toward the left by a constant horizontal force F. (a) What value of F will give the system an acceleration of 0.4g? (b) Find t
An object is dropped straight down from a helicopter. The object falls faster and faster but its acceleration (rate of change of its velocity) decreases over time because of air resistance. The acceleration is measured in ft/sec^2 and recorded every second after the drop for 7 seconds, as shown below. t a 0 32.00
A train slows down as it rounds a sharp horizontal turn, slowing from 90 km/h to 50 km/h in the 15 s that it takes to round the bend. The radius of the curve is 150 m. Compute the acceleration at the moment the train speed reaches 50 km/h.
A workman carries a sheet of metal up to the roof of a skyscraper by transporting it in the building's elevator. Inside the elevator, the metal sits at an angle of 26o from the horizontal. The workman absentmindedly places his toolbox on the smooth metal surface, and it begins to slide with negligible friction. a. Draw a free
Professional archer Rob N. Hood shoots an arrow at an angle from the top of a 90.0-meter-high cliff. The arrow has an initial speed of 62.0 m/s. a. If the initial horizontal velocity is 28.0 m/s, what angle (in degrees above the horizontal) did the arrow have when it was shot? b. How much time does the arrow spend in the ai
A mass of 1.36 kg rests on a frictionless tabletop, attached by a string running horizontally to and then over a pulley to a mass of .3672 kg. a) When the system is released what will be its acceleration? b) What is the tension in the strings?
A simple harmonic oscillator with mass 1.46 kg and restoring force constant 430 N/m is released from rest at a displacement of .55 meters from its equilibrium position. - What is its equation of motion? - According to the corresponding acceleration function what will be the acceleration of the oscillator at clock time t
An applied force of 6 Newtons acts in the direction of motion of a block of mass 9 Kg, with the mass being pulled across the floor against a frictional force of .6 Newtons. Assume that the block moved the distance 'y' in this process. * What is the net force on the object? * How much work does the net force do on the object
A gun fires a bullet of mass 22 grams out of a barrel 36 cm long. The gun is attached to a spring. From the recoil of the spring and the masses of the gun and the spring we determine that the gun recoiled with a total momentum of 4.7 kg m/s. - With what velocity did the bullet exit the barrel? - Assuming that the bullet
The 40-kg wheel has a radius of gyration about its mass center O of kO = 300 mm. When the wheel is subjected to the couple moment as shown, determine its angular acceleration. The coefficients of static and kinetic friction between the wheel and the ground are Us = 0.2 and Uk = 0.15, respectively. (See attachment for original q
When a diver stands at rest on a diving board that acts as a perfect Hooke's law spring, the board deflects downward 10 cm. When the diver jumps up and lands back on the board, the board deflects downward 25 cm. What is the magnitude and direction of the diver's acceleration when the board deflects downward 25 cm? Construct
A box of mass 12 kg is placed in the back of a van. The coefficient of friction between the box and the floor is 0.6. What happens to the box if the lorry moves off with an acceleration of: (a) 4 ms^2 (b) 6 ms^2 (c) 8 ms^2 (Take g = 10 ms^-2)
An aircraft weighing 832 N is accelerated at 11.1 m/s/s for 5 seconds, at which time the aircraft launches. Assume the acceleration is constant. What is the force required to launch the aircraft? Hint: this is a multiple step problem in which you must derive the variables needed in Newton's equation for force.
1. In 1780, in what is now referred to as "Brady's Leap," Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running over the edge of the cliff above Ohio's Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt
(Please see attached file for figures) 1. You are driving down the highway late one night at 20m/s when a deer steps onto the road 35m in front of you. Your reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration of your car is 10m/s^2. How much distance is between you and the deer when you come to
1. A large spring requires a force of 150 N to compress it only 0.010 m. What is the spring constant of the spring? a. 125 000 N/m b. 15 000 N/m c. 15 N/m d. 1.5 N/m 2. A 0.20-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal frictionless surface. At
The acclerations of two charged beads one a charged plastic bead of mass 2.4g, charge -3.0 nC the other a glass bead of mass 4.5g charge 18.5 nC separated a centre to centre distance of 2.3 cm are determined