4. A custodian pushes a crate to the right across the gym floor at a constant speed. Select the free-body diagram that shows the correct type, direction, and relative strength of individual forces. Fnorm Frens Frict Fgrav Fnorm Frict Fapp SUBMIT ALL ANSWERS SAVE & EXIT Fgrav
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- 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 a force of 90.0 N, and the mass of the third child plus wagon is 23.0 kg. Assume no friction in this problem. a. Draw a free-body diagram, including all forces acting on the wagon. b. Show the component equations (Fx and Fy) in terms of variables only. c. Calculate the acceleration.An object is moving to the right in a straight line. The net force acting on the object is also directed to the right, but the magnitude of the force is decreasing with time. The object will... A. continue to move to the right with a constant speed stop and then begin moving to the left. continue to move to the right, with its speed decreasing with time D. continue to move to the right, with its speed increasing with time.That same 80 kg object is sliding across the table because you are applying a force of +300 N. If the coefficient of friction is 0.3, Determine the NET Force acting on the object, if any. Again, I would draw the free body diagram for this question. O a. +240 N b. +60 N C. -60 N d. -240 N
- 4. A block of mass m accelerates up a slope that has friction. a. Draw a free-body diagram for the block indicating all the forces acting on it. (Note that there must be a force acting on the block in order for it to accelerate up the slope.) b. Write down the equations for Newton's 2nd law for both x and y directions. c. Solve for the applied force Fap in terms of the angle of incline 0, mass m, acceleration of the block a, kinetic friction force fr, and acceleration of gravity g.8. Two 14-kg blocks are connected with a light rope pand the system is accelerating at 1.8 m/s°[Right]. The coefficient of kinetic friction between the blocks and the floor is 0.35. A F. a) Calculate the magnitude of the applied force, F,. b) Calculate the tension in the rope between block B and A.3. A block of mass m = 5.9 kg is pulled up a 0 = 21° incline as in the figure below with a force of magnitude F = 37 N. (Hint: remember to measure all angles from +x axis.) y a. Draw a free body diagram showing all the forces. NORml Fte F Mass = 5.9k 0-21° F-37N there b. Determine the x and y components of all the forces. X Components of Force f = 37 N Y comporents of Force F=0N X componnt of normal force=ON * Componis of weight=-5.9x 9.8x Sin 210=70. FJN Y Comperents of weight=5.9a 9.8 x Casal. - 53.98 Y Compenents of normal force=mglos H%53.98, c. Write equations summing all the x components and all the y components. F-mg Sm@= mxa 37-20.72= 5.9x a 2.7l6 = Comporunts) Normal force - mg les 0: 05 53.98-53.98-0o d. Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration. Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12. (Give the magnitude of the acceleration.) е. 3
- A car of mass m=1000 kg starts moving from rest at a point Aon a smooth horizontal surface. The car moves under theaction of an engine force �⃗ of magnitude F=2000 N and ofdirection parallel to the surface. It reaches point O that is 70 maway from A, with a velocity �⃗!.a. Draw the free body diagram of the car.b. Using the Second Law of Newton, determine the acceleration of the car.c. Calculate the normal force acting on the car.d. Calculate the final velocity at O.5. Two packing crates of masses m1 = 10.0 kg and m2 = 3.00 kg are connected by a light string that passes over a frictionless pulley as in the fiaure below. The 3.00-kg crate lles on a smooth incline of angle 41.0°. (Hint: Draw the two free body diagrams, determine the components the forces, Sum the x and y components to generate equations, combine equations to solve for a) m2 (a) the acceleration of the 3.00-kg crate herht of to (b) the tension in the string the foWeight is one type of forces, it is a vector ( magnitude and direction, always vertically downward). it is an extrinsic properties, depending on surroundings. While Mass is a scalar, not depending on its surroundings. a. True b. False
- 18. A child sits on a sled at the top of a hill, the hill makes an angle of 20° with the horizontal. The child's mass is 40kg. Use us = .1 and 4.03 a. b. Draw a free body diagram for this system. Does the child accelerate down the hill? *i.e., check that the coefficient of static friction is vercome by the component of the childs weight in the direction the child would accelerate. If they do, what is their acceleration? *use coefficient of kinetic friction in sum of the forces balance if the child moves.1) The block on a 60° inclined plane weighs 100 pound and is held by the minimum possible force T as shown in the figure. The coefficient of both static and kinetic friction between the block and the inclined plane is 0.2, and the pulleys are frictionless. T а. Draw the free body diagram (FBD) of the block showing all forces and their directions acting on it. b. Compute all unknown forces including T shown in your FBD. Now if you want to move the block upward on the inclined plane С. by applying minimum possible force T then draw the FBD of the block showing all forces with directions acting on it. d. Now assume the pulleys are stuck (do not rotate any more) and the 60° rope slides over the stuck pulleys as the block moves up. the coefficient of both static and kinetic friction between the pulley surface and the rope is 0.1. Draw the FBD of the block showing all forces with directions acting on the block when the block is pulled upward by the minimum rope force T. е. For the stuck…