In the figure, a block of mass m = 3.71 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 12.7 N at an angle 0 = 26.0°. (a) What is the magnitude of the block's acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block's acceleration just before it is lifted (completely) off the floor? (a) Number i Units (b) Number i Units (c) Number i Units
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- A sphere of mass 1.5 × 10-4 kg is suspended from a cord.Two packages at UPS start sliding down the 20° ramp shown in the figure. Package A has a mass of 4.50 kg and a coefficient of kinetic friction of 0.190. Package B has a mass of 9.00 kg and a coefficient of kinetic friction of 0.170. (Figure 1) You may want to review (Page 159). For help with math skills, you may want to review: Vector Components Figure 2 m 20° A B 1 of 1Block A in the figure has mass ma = 4.30 kg, and block B has mass mg = 2.20 kg. The coefficient of kinetic friction between block B and the horizontal plane is Hk = 0.520. The inclined plane is frictionless and at angle 0 = 31.0°. The pulley serves only to change the direction of the cord connecting the blocks. The cord has negligible mass. Find (a) the tension in the cord and (b) the magnitude of the acceleration of the blocks. Frictionless, massless pulley (a) Number i Units (b) Number i Units
- In the figure, a block of mass m = 5.44 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 10.6 N at an angle 0 = 24.0°. (a) What is the magnitude of the block's acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block's acceleration just before it is lifted (completely) off the floor? (a) Number Units (b) Number Units (c) Number UnitsA parachutist whose mass is 90 kg drops from a helicopter hovering 1500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 20 N-sec/m when the chute is closed and b₂ = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 35 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec². The parachutist will reach the ground after (Round to two decimal places as needed.) seconds.A sphere of mass 4.7 × 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 26° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord.
- In the figure, a crate of mass m = 99 kg is pushed at a constant speed up a frictionless ramp (0 = 30°) by a horizontal force . The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number i (b) Number Units Units II ATTIT This answer has no units °(degrees) m kgA block of mass 4.6 kg is sliding down a ramp with an initial speed of 1.5 m/s. The ramp is inclined from the horizontal by an angle theta = 34.9 degrees and the coefficient of kinetic friction is uk = 0.73. What is the magnitude of the displacement of the block along the ramp from the initial time until it stops?A parachutist whose mass is 65 kg drops from a helicopter hovering 1500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 20 N-sec/m when the chute is closed and b₂ = 90 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 25 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec². The parachutist will reach the ground after (Round to two decimal places as needed.) seconds.
- In the figure, a block of mass m = 3.40 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 11.9 N at an angle θ = 29.0°. (a) What is the magnitude of the block's acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block's acceleration just before it is lifted (completely) off the floor?The figure below shows an initially stationary block of mass m on a floor. A force of magnitude F = 0.510mg is then applied at upward angle 0 = 19°. (a) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are us = 0.590 and uk = 0.505? m/s? (b) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are ug = 0.395 and uk = 0.295? m/s2A 124 kg crate is pushed at constant speed up a frictionless inclined plane of θ = 48 ° with the horizontal. Assuming one pushes with a horizontal force, what is the magnitude of the force F (in N) required to do this?