A large crate with mass mm rests on a horizontal floor. The static and kinetic coefficients of friction between the crate and the floor are μsμs and μkμk, respectively. A woman pushes downward on the crate at an angle θθ below the horizontal with a force F⃗ F→. 1. What is the magnitude of the force vector F⃗ F→ required to keep the crate moving at constant velocity? Express your answer in terms of mmm, ggg, θθ, and μkμk.

Shown to the right is a block of mass m resting on a frictionless ramp inclined at an angle to the horizontal. The block is held by a spring that is stretched a distance d after the block is attached to it. E k= e wwwwww ▷ A Write an equation for the force constant of the spring in terms of the variables from the problem statement (m, 0, and d). Use g for the gravitational constant.

A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static friction between the sled and the ground is µs = 0.603, and the kinetic friction coefficient is = 0.403. The combined mass of the sled and its load is m = 336 kg. The ropes are separated by an angle o = 25.0°, and they make an angle 0 = 31.1° with the horizontal. Assuming both ropes pull equally hard, what is the minimum rope tension required to get the sled moving? minimum rope tension: N If this rope tension is maintained after the sled starts moving, what is the sled's acceleration? acceleration: m/s2

A crate with a mass of m=254kg rests on the horizontal deck of a ship. The coefficient of static friction between the crate and the deck is μs=0.83. The coefficient of kinetic friction is μk=0.47.  Write an expression for the magnitude of the force, Fv, that must be applied to keep the block moving at a constant velocity.

Many physical properties, such as force and mass, cannot be measured directly. Rather, some other physical property is measured and the desired physical property is computed from the results. For example, a bathroom scale does not actually measure mass or "weight," but rather the compression distance of a spring. The numerical values on the scale are calibrated from the compression distance using basic physics principles such as Newton's second law. Coefficients of friction cannot be measured directly. In this problem, we are going to learn how we can indirectly measure the coefficient of kinetic friction between two surfaces by directly measuring the expansion of a spring. Consider a 5.45 kg5.45 kg block that is dragged by a spring on a (relatively) frictionless horizontal surface at constant velocity. Suppose the block reaches a rough patch and the spring stretches by 5.25 cm5.25 cm. Compute the coefficient of kinetic friction ?μ between the block and the rough patch if the spring…

A mysterious force acts on all particles along a particular line and always points towards a particular point P on the line. The magnitude of the force on a particle increases as the cube of the distance from that point, that is, F∝ r3, if the distance from the P to the position of the particle is r. It has been determined that the constant of proportionality is 0.23 N/m3, i.e. the magnitude of the force on a particle can be written as 0.23r3, when the particle is at a distance r from the force center. Find the magnitude of the potential energy, in joules, of a particle subjected to this force when the particle is at a distance 0.21 m from point P assuming the potential energy to be zero when the particle is at P.  PE= ?

Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.

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.

A 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 2.60 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 7.29 N and a vertical force P are then applied to the block (see the figure). The coefficients of friction for the block and surface are us = 0.4 and Pk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of P is (a)6.00 N and (b)8.00 N. (The upward pull is insufficient to move the block vertically.) (a) Number Units (b) Number Units