A 2.36x10 kilogram car starts from rest and coasts down from the top of a 5.05 meter long driveway that is sloped at an angle of 24.9° with the horizontal. If an average friction force of 3.62x103 Newtons impedes the motion of the car, calculate the speed of the car at the bottom of the driveway.

An 8 kg block initially at rest is pulled to the right for 3 m with a force of 12 N over a surface.Determine its final speed if:(a) the surface has no friction and(b) the surface has a coefficient of kinetic friction of 0.15

Spring scales are often used in markets for weighing produce and simply consist of a spring connection to a gauge that displays how far the spring has stretched and correlates that to the weight of the produce. (a) What is the spring constant (k) for the spring in the scale if the spring stretches .96 cm for .5 kg of potatoes? Number N/m (b) What is the mass of a collection of potatoes if the spring stretches 2.8 cm? Number kg (c) How many cm apart are the quarter-kilogram marks on the scale? (Note: depending on your random values, this may be a much larger distance then you would expect) Number cm

A particle is acted on by a conservative force,  F = (−Ax + Bx6)î N,  where A and B are constants, and x is in meters. (For your answers, use the following as necessary:  A, B, and x.)

If the skier coasts up the hill, what is his speed (in m/s) when he reaches the top plateau? Assume friction between the snow and skis is negligible.

a man pushing a crate of mass m=92kg at a speed of v=0.850m/s encounters a rough horizontal surface of length, 0.65m as in figure. if the coeffivient of kinetic friction between the crate and roug surface is 0.358 and he exerts a constant horizontal force of 275N on the crate, find: a) the magnitude and direction of the net force on the crate while it is on the rough surface. b) the net work done on the crate while it is on the rough surface. c) the peed of the crate when it reaches the end of the rough surface

A 2.9-kg block slides with a speed of 2.1 m>son a frictionless horizontal surface until it encounters a spring.(a) If the block compresses the spring 5.6 cm before coming to rest,what is the force constant of the spring? (b) What initial speedshould the block have to compress the spring by 1.4 cm?

A 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure.Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.35.

(a) Calculate the force needed to bring a 1100 kg car to rest from a speed of 90.0 km/h in a distance of 125 m (a fairly typical distance for a nonpanic stop).(b) Suppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.00 m. Calculate the force exerted on the car and compare it with the force found in part (a), i.e. find the ratio of the force in part(b) to the force in part(a).