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A rectangular block has a length that is six times its width and a height that is three times its width. The block's surfaces are all identical except for size. When the block is placed on a horizontal tabletop so that the area in contact with the table is length ✕ width, it is found that a horizontal force of 11.6 N applied to the block is just sufficient to overcome the static friction force and cause the block to move. The block is then knocked over so that the area in contact with the table is length ✕ height. Now, what minimum horizontal force will cause the block to move?
A hockey puck with mass 0.166 kg is pushed across the ice with a constant force of 0.89 N. The coefficient of kinetic friction between the puck and the ice is 0.22. After a distance of 2.6 m, what is the puck's speed in m/s?
When the force F=100N is applied to the end of the spring k3, (a) find the force applied to the end of the springs k1 and k2. Is it equal? (b) find the extension of the spring k1 and k2 (c) find the extension of the spring k3 (d) If you replace k1, k2, k3 with one spring k123 to make the total spring extension identical, what should k123 be?
A mass M = 12.0 kg is pulled up an incline plane by a F = 170 N. The plane angle is 30o with respect to the horizontal. The kinetic coefficient of friction between the surfaces is μ = 0.40. Calculate the acceleration of the block
Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since t e skydiver has jumped: vec 2 (F)(t) = (0.5t)ha (x) + (0.11 +0.3t)hat(y) a) Create a air free body diagrar for the skydiver at t = 2 seconds. b) - What is the net for e acting on the skydiver at t = 2 seconds? c) What i the magnitude of the acceleration of the skydiver at t = 2 seconds? Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since the skydiver has jumped: Fair (t) = (0.5t)2 + (0.12 + 0.3t)ŷ a) Create a free-body diagram for the skydiver at t = 2 seconds.…
A block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a distance d before hitting a spring and compresses the spring by a maximum distance of xf. If the coefficient of kinetic friction between the plane and block is uk, then what is the force constant of the spring?
A dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of e to the horizontal. The figure here gives, as a function of time t, the component Vy of the box's velocity along an x axis that extends directly up the ramp. What is the magnitude of the normal force on the box from the ramp? (m/s) 4 2 (s) -2 Number 64.86 Unit the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work SHOW HINT e to search 林 10:44 PM ENG 4/4/2021 13 ) 16 17 tohome %23 3 7. W E R. T. 5
A block of mass m = 1.85 kg is pushed a distance d = 3.15 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 32.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force.(b) Determine the work done on the block by the normal force exerted by the table.(c) Determine the work done on the block by the force of gravity.(d) Determine the work done by the net force on the block.
Let a body of mass m = 1 kg be dropped from a height by an inclined plane that forms an angle a = 15 ° with the horizontal, which has a length OA = 2 m and a coefficient of friction 4 = 0.15. Then it continues along a horizontal plane also of length d = 2 m and with friction coefficient pz = 0.1. At the end of this plane it collides with a pendulum of mass M = 2 kg and length L = 2 m. As a result of the collision the body of mass "m" stops and the pendulum starts moving. It is required: a) Body speed "m" when reaching the end of the inclined plane. b) Body speed "m" when reaching the end of the horizontal plane. c) Speed of the pendulum of mass "M" just after the collision. d) Is the elastic shock? e) Maximum height "h" reached by the pendulum and the value of angle 0 formed by the pendulum cable with the vertical at that point. (See figure) Note Define precisely all the physical quantities used. In mathematical developments clearly justify the steps.% 3D m-1 kg d = 2 m L = 2 m0 A =…
A laboratory on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a m, separate pulley clamped to the edge of the platform, and then tied to a freely-hanging mass, so that each string is under tension and the ring is suspended parallel to the table surface. m2 m2 A mass of m1 = 0.153 kg is located at 0, 28.5°, and a %3D second mass of m2 = 0.211 kg is located at 02 295°. %3D Calculate the mass m3 and the angular position 03 (in degrees) that will balance the system and hold the ring stationary over the center of the platform. kg m3 = 03 =
A laboratory on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a m, separate pulley clamped to the edge of the platform, and then m2 tied to a freely-hanging mass, so that each string is under m3 tension and the ring is suspended parallel to the table surface. A mass of m1 = 0.161 kg is located at 0, = 26.5°, and a second mass of m2 = 0.223 kg is located at 02 = 287°. Calculate the mass m3 and the angular position 03 (in degrees) that will balance the system and hold the ring stationary over the center of the platform. 0.239 m3 = kg Incorrect 139 03 Incorrect
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