A block with mass (m₁) on a table is moved by a hanging mass (m2) attached to a pulley (see figure below). Assume the masses of the cord and pulleys can be ignored, the cord does not stretch, and all surfaces are frictionless. (a) Draw free body diagrams for the two masses (indicating all forces and accelerations) (b) Determine a relation between acceleration (a₁) of mi and acceleration (a2) of m2.
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- A flea jumps by exerting a force of 1.02 x 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 1.16 × 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 × 107 kg. (Let us assume that F points to the right. We will consider this to be the +x direction and vertical to be the +y wind direction.) magnitude 17.1 Did you draw a free-body diagram, and identify the forces acting on the flea? Consider the forces acting on the flea during the time it is in contact with the ground. m/s² direction 6.49 Review vector components. In which of the four quadrants is the resultant force located?° (measured clockwise from the vertical) Tutorial Supporting Materials Physical Constants Submit AnswerProblem 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=Two forces FA and FB are applied to an object whose mass is 7.20 kg. The larger force is FÁ .When both forces point due east, the object's acceleration has a magnitude of 0.453 m/s?. However, when FA points due east and Fg points due west, the acceleration is 0.337 m/s?, due east. Find (a) the magnitude of FA and (b) the magnitude of FB. (a) Number i Units (b) Number i Units
- A car of mass 972 kg is traveling 26.4 m/s when the driver applies the brakes, which lock the wheels. The car skids for 4.87 s in the positive x-direction before coming to rest. (a)What is the car's acceleration (in m/s2)? (Indicate the direction with the sign of your answer.) (b) What magnitude force (in N) acted on the car during this time? (c)How far (in m) did the car travel?A string is tied to a 3.2 kg object on a table and a 1.5 kg object hanging over a pulley.The coefficient of kinetic friction between the 3.2 kg object and the table is0.30.(a) Draw FBD for each object. D/(b) Calculate the acceleration of each object.(c) Determine the magnitude of the tension in the string.(d) How far will the objects move in 1.2 s if the initial velocity of the 3.2 kg object is1.3 m/s [right]?An ideal massless rope passes over a massless, frictionless pulley. Block A with mass mA=7.2 kg, and block B with mass mB=4.9 kg, are suspended from opposite ends of the rope, as shown. (This contraption is known as an Atwood's machine.) Consider the motion of the blocks after they are released from rest. Let "a" be the magnitude of their acceleration, and let FT be the tension in the rope. Let upward be the positive y direction for block B, and let downward be the positive y direction for block A. What is the numerical value, in newtons, of the tension in the rope?
- (a) What is the coefficient of kinetic friction between the crate and the floor? (Enter your answer to at least three decimal places.) (b) If the 250-N force is instead pulling the block at an angle of 20.0° above the horizontal, as shown in the figure b, what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part (a). m/s2An applied force of 95.6 N is used to accelerate an object across a frictional surface. The object has aweight of 45.2 N and encounters a frictional force of 60.0 N.(a) Draw a sketch of the object and show all of the forces acting on the object.(b) What is the net force acting on the object in the horizontal direction?(c) What is the net force acting on the object in the vertical direction?(d) Using Newton’s 2nd Law, find the object’s acceleration.