In a particle accelerator, a proton has mass 1.67 x 10-27 kg and an initial speed of 2.00 × 105 m/s. It moves in a straight line, and its speed increases to 9.00 × 105 m/s in a distance of 10.0 cm. Assume that the acceleration is constant. Find the magnitude of the force exerted on the proton.
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- A 2.80-kg block starts from rest at the top of a 30.0° incline and slides a distance of 1.70 m down the incline in 1.20 s. Find the magnitude of the acceleration of the block. Find the coefficient of kinetic friction between block and plane. Find the friction force (magnitude and direction) acting on the block. Find the speed of the block after it has slid 1.70 m (m/s).A box of mass 30.0 kg is acted on by a constant horizontal force, which moves the box from rest 15.0 m in 2.75 s. What is the magnitude of the force acting on the box? (Ignore any frictional forces.)The graph in the figure shows the x component of the acceleration of a 2.4-kg object as a function of time (in ms). 44 (m/s) 20 15 + 10 5,0- 4,0- (su) i < 20 30 50 5.0 10 15 20 (a) At what time(s) does the x component of the net force on the object reach its maximum magnitude, and what is that maximum magnitude? (b) What is the x component of the net force on the object at time 1= 0.0 ms and at 1= 4.0 ms?
- Body A in the figure weighs 110 N, and body B weighs 86 N. The coefficients of friction between A and the incline are μs = 0.48 and μk = 0.22. Angle θ is 50°. Let thepositive direction of an x axis be up the incline. What is the acceleration of A if A is initially (a) at rest, (b) moving up the incline, and (c) moving down the incline?An object of mass 10kg is released from rest 3000m 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 = 40N - sec/m, determine the equation of motion of the object. When will the object strike the ground? Assume that the acceleration due to gravity is 9.81- m sec 2 and let x(t) represent the distance the object has fallen in t seconds.Three forces acting on an object are given by F1 = (−2.45î + 5.95ĵ) N, F2 = (5.25î − 1.3ĵ) N, and F3 = (−40î) N. The object experiences an acceleration of magnitude 3.70 m/s2. (a) What is the direction of the acceleration? (counterclockwise from the +x-axis)
- Chapter 04, Problem 003 GO Two horizontal forces, F, and F,, are acting on a box, but only F, is shown in the drawing. F, The box moves only along the x axis. There is no friction between the box and the surface. Suppose that F = +7.1N and the mass of the box is 3.3 kg. Find the magnitude and direction of F, when the acceleration of the box is (a) +4.7 m/s², (b) -4.7 m/s², and (c) 0 m /s2. can point either to the right or to the left. F, (a) E = (b) F (c) FProblem 2: A runaway train has a mass of 1.5 × 104 kg and a speed of 5 m/s. How much time does it take for a force of magnitude 1500 N to bring the train to rest?A firefighter who weighs 712 N slides down a vertical pole with an acceleration of 3.00 m/s2, directed downward.What are the (a) magnitude and (b) direction (up or down) of the vertical force on the firefighter from the pole and the (c) magnitude and (d) direction of the vertical force on the pole from the firefighter?
- A flea jumps by exerting a force of 1.17 x 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 1.12 x 10-6 N on the flea. Find the direction and magnitude (in m/s²) of the acceleration of the flea if its mass is 6.0 × 10-7 kg. (Let us assume that wind points to the right. We will consider this to be the +x direction and vertical to be the +y direction.) magnitude direction m/s² ° (measured clockwise from the vertical)You want to move a heavy box with mass 30.0 kg across a carpeted floor. You pull hard on one of the edges of the box at an angle 30∘ above the horizontal with a force of magnitude 240 N, causing the box to move horizontally. The force of friction between the moving box and the floor has magnitude 41.5 N . What is the box's acceleration just after it begins to move? Find both the x and y components of the acceleration of the box.Alex is asked to move two boxes of books in contact with each other and resting on a frictionless floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force F. = 9.3 N. Here box A has a mass m = 12.1 kg and box B has a mass 7.0 kg. The contact force between the two boxes is F_and N denotes the normal force. (a) What is the acceleration (in m/s) of the two boxes? m/s² (b) What is the force (in N) exerted on m by m? N Qurd (c) If Alex were to push from the other side on the 7.0 kg box, how would your answer to part (b) change? N