A box is released from rest at the top of a flat rough slope of length 20 metres that is inclined at an angle of 35° to the horizontal. It slides under gravity to the bottom of the slope. The coefficient of sliding friction between the box and the slope is 0.17. Take the magnitude of the acceleration due to gravity to be g = 9.8ms-2. Model the box as a particle. j 20 m 35% (a) State the three forces acting on the box during its motion, and draw a force diagram representing these forces, labelling them clearly. (b) Find expressions for the component forms of the three forces, in terms of the mass m (in kg) of the box and any unknown magnitude(s) where appropriate. In doing this, take the Cartesian unit vectors i and j to point parallel and perpendicular to the slope in the directions shown above. (c) Hence or otherwise find the magnitude of the acceleration of the

A basketball player of mass m=88.4 kg jumps straight up for a ball. To do this, he lowers his body d1=0.44 m, then he accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a speed sufficient to carry him d2=0.56 m above the floor. Write an expression for the speed v with which the basketball player leaves the floor. Write an expression for the speed v with wiich the basketball player leaves the floor. Write an expression for the acceleration, a, of the basketball player during the leg-straightening. Write an expression for the force upward force, FN, exerted on the basketball player by the floor during the leg straightening.  What is the magnitude, in newtons, of the force FN while the player is straightening his legs?

A constant force Fa pushes a 22.5-kg box across a rough horizontal surface. The magnitude of Fa is 185 N and the force is inclined at an angle of θ = 30.0° below the horizontal. The coefficient of kinetic friction between the box and the surface is μk = 0.500. What is the magnitude of the box's acceleration?

A 3.00-kg object is acted upon by an applied force causing it to move along a rough horizontal plane, with its x 5t² - 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. The and y coordinates given by x = coefficients of friction between the object and the surface are 0.4 and 0.8. Answer the following questions: a. What are the units of the numerical coefficients? b. Determine the acceleration of the object as a function of time. c. Determine the Net force acting on the object at t = 5s.

In the figure, a 4.00 kg block is sent sliding up a plane inclined at 0 = 39.0° while a horizontal force of magnitude F = 45.0 N acts on it. The %3D coefficient of kinetic friction between block and plane is 0.30. What is the magnitude and direction (up or down the plane) of the block's acceleration?

Time left 0:20:32 An amusement park in Dubai has a ramp which is frictionless. A child drops a smooth object and it slides down the ramp and comes down through a height 4 m. What distance is necessary to stop the object on the flat track if the coefficient of friction is 0.4? h. Answer:

You are driving through the Ouachita Mountains at 12m/s. You see a maple-leaf oak (Quercus acerifolia) crossing the road and hit the brakes, 20m away. The coefficient of kinetic friction between your tires and the road is μ_k = 0.7. Will you strike this endangered broadleaf? Justify your answer with a calculation.Your final answer should be the distance you will travel before coming to a stop.

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as a fish jump vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by the tail fin and the downward force due to gravity. a force chinook salmon has a length of 1.50 m and a mass of 48.5 kg. if the fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 5.80 m/s after two-thirds of its length has left the surface, assume constant acceleration and determine the following. a. the salmon's  acceleration b. the magnitude of the force F during this interval

A box, initially at rest, is pushed up a ramp that makes an angle of 15◦ with the horizontal as shown in the diagram. The magnitude of the pushing force is 8m newtons, where m is the mass of the box in kilograms. The force is in a direction parallel to and up the ramp. The coefficient of sliding friction between the box and the ramp is 0.25. Model the box as a particle and take the magnitude of the acceleration due to gravity to be g = 9.8 m s−2 . Express the four forces in component form in terms of unknown magnitudes where appropriate and find an expression for the resultant force acting on the box. Hence find the magnitude of the acceleration of the box, in m s−2