Slanting Surfaces With Friction: A 5.0-kg box slides on the surface on a ramp that rises at 37° above the horizontal. The coefficient of kinetic friction between the box and the surface of the ramp is 0.60. a)What is the magnitude of the acceleration of the box if it is sliding up the ramp? b)What is the direction of the acceleration of the box if it is sliding up the ramp? c)What is the magnitude of the acceleration of the box if it is sliding down the ramp? d)What is the direction of the acceleration of the box if it is sliding down the ramp?

A person pushes horizontally with a force of 250 N on a 50 kg crate to move it across a level floor. The coefficient of kinetic friction is 0.27. (a) What is the magnitude of the frictional force? N (b) What is the magnitude of the crate's acceleration? m/s2

Suppose a 58.5 kg gymnast climbs a rope. What is the tension in the rope if she climbs at a constant speed? tension: What is the tension in the rope if she accelerates upward at a rate of 1.25 m/s²? tension: N

2. ) Two blocks of masses m, = m2 = 1.0 kg are at rest on the inclined plane as shown in the figure. Both blocks are made up of different materials such that the coefficient of 3.0 kg and m2 m1 static friction between the surfaces of block m, and incline plane is 0.7, while the coefficient of static friction between the surfaces of block m, and incline plane is 0.5. Answer the following questions. 30° a. Draw a free-body force diagram for the mass m (Remember: the free-body force diagram should be drawn without the body and on XY coordinate axes, where the positive X-axis is downward along the inclined plane)(Show all forces and level the name of the forces clearly) b. Write down Newton's second Law for mass m, along X-axis (Hint: Simply expand the summation in the equation EF, = m,a to include all forces. No calculation is required) С. Find the maximum possible static friction force on mass m.. d. Determine the magnitude of the interaction force between blocks m, and m2. (show all…

Mass 1 = 3.5 kg brick is placed on an inclined plane which forms an angle of 25° with the horizontal.  There is a string attached to the brick that passes over a pulley and connects to a Mass 2 = 1.15 kg.  The coefficient of static friction between the brick and the plane is 0.25.What is the acceleration of the brick?What is the tension in the string?

A sled and rider have a total mass of 61.0 kg. They are on a snowy hill. The coefficient of kinetic friction between the sled and the snow is 0.155. The angle of the hill's slope measured upward from the horizontal is 21.0°. What is the acceleration of the rider? |m/s² Is the acceleration greater, less than, or equal to your result if a more massive rider uses the same sled on the same hill? Explain. O Greater than: the acceleration scales according to the mass of the rider. O Greater than: the acceleration scales according to the ratio of the masses of the rider and sled. O Less than: the acceleration scales according to the ratio of the masses of the rider and sled. O Equal to: the acceleration is independent of mass. O Equal to: the acceleration scales according to the mass of the sled.

A100-kg sofa needs to be moved across a level floor. The coefficient of static friction between the sofa and the floor is 0.40. Two physics students decide to apply a force F!" on the sofa. One student recommends that the force be applied upward at an angle theta above the horizontal. The other student recommends that the force be applied downward at an angle theta below the horizontal. Explain which student has the better idea and why.

q1

Please write the solution clearly

A mop is pushed across the floor with a force F of 44.5 N at an angle of 0 = 50.6°. The mass of the mop head is m = 2.10 kg. Calculate the magnitude of the acceleration a of the mop head if the coefficient of kinetic friction between the mop head and the floor is µ 0.355. m/s²