10. A 4-kg box is placed on a frictionless horizontal table. A rope is connected to the box, and the other end is connected to a 7-kg mass that is dangling over the edge of the table. Find the acceleration of the masses and the tension in the rope.
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- A boat moves through the water with two forces acting on it. One is a 1700 N forward push by the water on the propeller, and the other is an 1300 N resistive force due to the water around the bow. (a) What is the acceleration of the 1100 kg boat?____ m/s 2(b) If it starts from rest, how far will it move in 9.0 s?____ m(c) What will its velocity be at the end of that time?Q4. An 80 kg dog is lying on the floor at rest. The coefficient of kinetic friction between the dog and the floor is μ = 0.2. Ignore static friction. If the dog is pulled by a person with a 200 N force as shown, determine the speed of the dog when t = 3 s. [Do NOT use the equations of motion i.e. Σ F = ma, directly; otherwise your solution to this qustion will receive a zero]. 60⁰ P-200 NTwo objects (41.0 and 20.8 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find the acceleration of the objects and the tension in the string.
- = 4. Consider the figure below, which has two objects of mass mi 3 kg connected by a taut rope. m2 Fp m2 Frictionless Finger Ms, Mk = The ramp is at an angle of 0 40° and has the peculiar property that it is frictionless along the tilted surface, but not along its vertical surface. (a) Ignore Fp for this part. What are the magnitude and direction of the acceleration experienced by the two objects? What is the magnitude of the tension force from the rope? (b) As the objects are moving, you apply a force on object 2 (using a frictionless finger) with magnitude Fp 50 N directly leftward (as seen in the figure). Upon doing this, you observe that the objects now move with constant speed. What is ? m₁ Frictionless 5 kg andAn Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. Assume that the rope and pulley are massless and that there is no friction in the pulley. If the masses have the values ?1=19.5 kg and ?2=12.5 kg, find the magnitude of their acceleration ? and the tension ? in the rope. Use ?=9.81 m/s2.3. A 180 g hockey puck slides on (frictionless) ice at a speed of 2 m/s. It then slides onto a carpet, which exerts a constant frictional force F₁ = 0.7 N in the direction opposite the puck's direction of motion. (a) Draw two free body diagrams: one when the puck is on the ice, and the other when the puck is on the carpet. Include any forces acting in the vertical direction (perpendicular to the ice or carpet) and any acting in the horizontal direction (parallel to the ice or carpet). (b) Do you expect the velocity of the puck to be constant on the ice? How about on the carpet? Why or why not? (c) How far does the puck travel on the carpet before coming to a stop?
- 1.1. Two forces act on a 25 kg cart. One force has a magnitude of 30 N and is directed east. The other force has a magnitude of 25 N and is directed at an angle of 45° north of east. (Draw free-body diagram here) a. What is the net force on the cart? (Include direction.) b. What is the acceleration of the cart?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 fo
- 31. A truck with mass 2000 kg tows a boat and trailer of total mass 500 kg. The frictional coefficient for the truck is 0.080 and for the trailer is 0.050 (this is due to “rolling resistance” of the tires). The force of the truck’s drive wheels pushing backward on the pavement is 3.0 kN. (a) Determine the acceleration rate of the truck and trailer moving forward together. (b) Determine the amount of force the truck’s hitch exerts forward on the trailer.10.0 kg block on a table is connected by a string to a 63 kg mass, which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10.0 kg block when the other block is released? (See the figure.) |10.0 kg ... Table 63 kg A 8.1 m/s^2 B 7.5 m/s^2 8.5 m/s^2 D 6.9 m/s^25. A 78.5 kg person rides in a 606 kg elevator while standing on a scale calibrated in newtons. The elevator is traveling downward but slowing down at a rate of 2.45 m/s². (a) Draw the free-body diagram for the person (including the net force). (b) What does the scale read? (c) What is the tension in the elevator's single cable?