A 24.0 kg child is sitting at the top of a slide, which is inclined at an angle of 46 degrees with respect to the horizontal. What is the magnitude of the normal force (in Newtons) acting on the child?

A worker drags a crate to the right across a factory floor by pulling on a rope tied to the crate. The worker exerts a force of magnitude F = 450 N on the rope, which is inclined at an upward angle 0 = 30.0° to the horizontal, and the floor exerts a horizontal force of magnitude f = 125 N that opposes the motion. Calculate the magnitude of the acceleration of the crate if (a) its mass is 310 kg and (b) its weight is 310 N. Step 1 Create the free-body diagram. Use the checkboxes to select the correct vectors as instructed above. Move the vectors to the correct starting points and orient them in the correct direction as instructed. Key to Force Labels mg mg = Gravitational force f = Frictional force FN = Normal force T = Tension FN T Draw free-body diagram here

A 32.7-kg crate rests on a horizontal floor, and a 62.0-kg person is standing on the crate. Determine the magnitude of the normal force that (a) the floor exerts on the crate and (b) the crate exerts on the person.

The 1 kg standard body has an acceleration of 2.00 m/s2 at 41° to the positive direction of the x axis. (a) What are the x and y components of the net force on it? x component      N y component      N (b) What is the net force in unit-vector notation? =         N

If a 3.10 kg body has an acceleration of 7.20 m/s directed at 38.0° to the positive x axis, what is the x component of the net force acting on the body?

An SUV containing 5 passengers has a mass of 3500 kg. It has a driving force of 2500 N directed west on a perfectly horizontal road. The surface of the road exerts a resistive force of 500 N due east. At the same time, a strong wind is blowing a force of 500 N due east in the opposite direction of the car's drive force. Does the car have any acceleration? If yes, then what is the magnitude and direction of the car's acceleration?

A 1.20 kg object is subjected to three forces that give it an acceleration à = (4.80 m/s² )î + (5.00 m/s²). If two of the three forces are F₁ = (28.0 N )i + (11.0 N ) and F₂ = (15.0 N )i + (8.00 N )ĵ, find (a) the x component and (b) the y component of the the third force.

A 30.7 kg girl and a 59.8 kg boy are on the surface of a frozen lake, 10.5 m apart. Using a rope, the girl exerts a horizontal 4.20 N force on the boy, pulling him toward her. Calculate the magnitude of the girl's acceleration.

Give an example of a situation in which an object is not in equilibrium, even though the net force acting it is zero.