The force exerted by the wind on the sails of a sailboat is F, = 495 N north. The water exerts a force of sail = 245 N east. If the boat (including its crew) has a mass of 325 kg, what are the magnitude and Fkeel direction of its acceleration?
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- An object of mass m has these three forces acting on it . F1, F2, and F3 are shown in the figure. Assume the x-direction is to the right, and the y-direction is straight upwards. Let F1 = 7 N, F2 = 9 N, and F3 = 2 N. What is the direction of the net force, expressed as the angle θ, in degrees, that the net force vector makes with respect to the +x-axis? Enter an angle between −180∘ and +180∘.A contestant in a winter sporting event pulls an m kg block of ice across a frozen lake by applying a force F at an angle θ above the horizontal as shown. Assume that the coefficient of static friction for ice on ice is 0.0300, and the coefficient of kinetic friction for the same is 0.0100. Let to the right be the positive x direction and up be the positive y direction for your equations. Please use the interactive area below to draw a free body diagram to represent the situation where the contestant is pulling, but the block has not yet started to move. Use Fs for the force of static friction and Fk for the force of kinetic friction if they are needed for your free body diagram. 17% Part (b) Select the correct expression for the net force in the horizontal direction, ΣFx. 17% Part (c) Select the correct expression for the net force in the vertical direction, ΣFy. 17% Part (d) Obtain a numeric value, in newtons, for the magnitude of the maximum applied force, F, consistent…The block shown in figure #1 above has a mass of 4.30 kg. The applied force (? ⃑ ) has a magnitude of 31.2 N and is 32.0° above the horizontal, frictionless surface the block in on. a. What is the force of gravity (magnitude and direction) that acts on the block? b. What is the y-component of the block’s acceleration?
- And object of mass M = 25 KG is being pulled by the two forces as shown A) determine the x and Y competence of each force. B) Find the magnitude and direction of the total force acting on the object. C) What is the magnitude and direction of its acceleration? D) what third force would you need so that the object does not accelerate?(give magnitude and direction show it in the diagram.)Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N, the second exerts a force of 90.0 N, friction is 12.0 N, and the mass of the third child plus wagon is 23.0 kg. (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (See the free-body diagram.) (b) Calculate the acceleration. (c) What would the acceleration be if friction were 15.0 N?If two tugboats pull on a disabled vessel, as shown here in an overhead view, the disabled vessel will be pulled along the direction indicated by the result of the exerted forces. (a) Draw a free-body diagram for the vessel. Assume no friction or drag forces affect the vessel. (b) Did you include all forces in the overhead view in your free-body diagram? Why or why not?
- With what force in the rightwards direction, Fx, should the mother push? Note that if you think the force exerted by the mother should be toward the left, your final answer Fx should be negative. Express your answer in terms of W, Lend, w, L2, L3, and h.A block with a mass of m = 22 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1. The second has a magnitude of F2 and acts on the body at an angle θ = 15° measured from horizontal, as shown. 1). Please draw the Free Body Diagram for this block, assuming it is in static equilibrium? 2)Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. 3)Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. 4). The two forces change such that F1 = 11 N and F2 = 19 N. Based on this change, the block may no longer be in static equilibrium. Find the block's acceleration in the x-direction, ax, in meters per second squared.(Figure 1)Block 1, of mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and the plane is μ. Find the ratio of the masses m1/m2. Express your answer in terms of some or all of the variables a, μ, and θ, as well as the magnitude of the free-fall acceleration g.
- From the third rule you know that if a rope passes over a pulley, the tension in the rope is unaffected. With this observation in mind, what is the magnitude of the tension in the second rope?Add the forces acting on the block to find the magnitude, T2 , of the tension in rope 2. Express your answer in terms of some or all of the variables F , mB and g.PRACTICE ANOTHER What net external force is exerted on a 1050-kg artillery shell fired from a battleship if the shell is accelerated at 3.00 ✕ 104 m/s2? (Enter the magnitude.) NWhat is the magnitude of the force exerted on the ship by the artillery shell? NA boy standing on a frictionless wooden deck pulls two large wooden blocks that are held together by a rope. From the horizontal with an angle theta, F( F with a vector sign) is the pulling force and the two blocks accelerate. Considering the rope is not able to extend more and doesn't have a mass, a) Sketch the free body diagram if the mass of one block is m1 and the other is m2. b) In relation to F, theta, m1 and m2; determine the magnitude of the tension next to the rope that is connecting the two blocks. c) F = 30N, theta = 35 degrees, m1= 6. 5kg and m2 = 4.8kg, find the magnitude of tension.