Assume that the cart is free to roll without friction and that the coefficient of static friction between the block and the cart is μs. derive an expression for the minimum horizontal force that must be applied to the block in order to keep it from falling to the ground. express your answer in terms of acceleration of gravity g and some or all of the variables m, m, and μs.

An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. it then moves 127 ft at an angle of 46.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

Using the work energy theorem. what is the velocity of a 850kg car after starting at rest when 13,000j of work is done to it.

What is the average speed of a car that travels 40mph for 1 hour and 60 mph in another hour will mark brainliest