An electron (mass = 9.11 X 10-31 kg) leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is 2.70cm away. It reaches the grid with a speed of 3.30 X 106 m/s. If the accelerating force is constant, compute (a) %3D the acceleration (b) the time to reach the grid (c) The net force, in Newtons. Ignore the gravitational force on the electron.
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- Computation. A rocket, with a mass of 1.8 x 104 kg, blasts off from earth with a uniform upward acceleration of 2.78 m/s². Ignoring any air resistance, calculate the magnitude of the rocket engines' upward thrust, T T= N 2 Record your numerical answer below, assuming three significant figures.A boat weighing 1.5 tons, starting off, for some time reaches a speed of v = 5 m / s (assume that the boat is moving in calm water). The traction force of the motor is constant and equal to F = 103 Assuming that the drag force Ffr to the boat’s movement is proportional to the speed (Ffr = k⋅v, where the friction coefficient is k = 100 kg / s), determine the time for which the boat reaches the specified speed.A block of mass m = 3.50 kg on a frictionless plane inclined at angle 0 = 33.3° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.73 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord? (a) Number i Units (b) Number i Units
- When you do a chin-up, you raise your chin just over a bar (the chinning bar), supporting yourself with only your arms. Typically, the body below the arms is raised by about 30 cm in a time of 1.0 s, starting from rest. Assume that the entire body of a 680-N person doing chin-ups is raised by 30 cm, and that half the 1.0 s is spent accelerating upward and the other half accelerating downward, uniformly in both cases. Draw a free-body diagram of the person’s body, and use it to find the force his arms must exert on him during the accelerating part of the chin-up. Show complete solution.Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.P1-12 Consider a 72 kg high-jumper. Calculate the magnitude of the force, in newtons, the jumper must exert on the ground to produce an upward acceleration 4.00 times the acceleration due to gravity.
- A train pulls away from a station with a constant acceleration of 5.00 m/s2, after starting at rest. A ball of mass 3.20 kg hangs from a string attached to the ceiling of the train carriage. (1) Draw a sketch showing all the forces on the ball, indicating the direction of the acceleration vector. (2) Compute the angle that the string makes with the vertical.The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.60 ✕ 10−15 m apart? (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u.A 68 kg lady stands on a bathroom scale on elevator. Starting from rest, the elevator accelerates upward, getting its maximu speed of 1.18 m/s in 0.900s. It travels with constant speed for the next 4.00s. Then, the elevator undergoes uniform acceleration in negative y direction for 2 s and comes to rest. What does the bathroom scale register 1) before the elevator starts to go up, 2) during the first 0.900s, 3) while it is traveling at constant speed, 4.) during the time its slowing down?
- A Formula One car is a single-seat racing car with an open cockpit and substantial wings located in the front and rear. At high speeds, the aerodynamics of the car help to create a strong downward force which allows the car to brake from 27.8 m/s (100 km/hr or 62.2 mi/hr) to 0 in as small of a distance as 17 meters. Determine the deceleration rate (i.e., acceleration) achieved by such a car.Problem 2: An applied force of 20 N is used to accelerate an object to the right across a frictional surface. The object encounters 10 N of friction. Use the diagram to determine the normal force, the net force, the coefficient of friction (u) between the object and the surface, the mass, and the acceleration of the object. (Neglect air resistance.) Fnorm Friet =10 N Fapp = 20 N Fgrav=100 N m = a = Fnet=A car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…