The mass of a sports car is 1 200 kg. The shape of the body is such that the aerodynamic drag coefficient is 0.250 and the frontal area is 2.20 m2. Ignoring all other sources of friction, calculate the initial acceleration the car has if it has been traveling at 100 km/h and is now shifted into neutral and allowed to coast.

A block is sliding on a rough surface with a coefficient of static friction = 0.320 and a coefficient of kinetic friction = 0.210. A horizontal force of 22.0 N causes an acceleration of 0.142 meters / sec ^2. What is the mass of the block?

(Assume g=10 m/s2) A 2500kg car traveling 14.0 m/s on an icy, level road approaches an intersection. The brakes lock and the car skids 25.0m before coming to stop. What is the coefficient of friction between the tires and the surface?(0.39)

An airplane in flight is subject to an air resistance force proportional to the square of its speed v. But there is an additional resistive force because the airplane has wings. Air flowing over the wings is pushed down and slightly forward, so from Newton’s third law the air exerts a force on the wings and airplane that is up and slightly backward. The upward force is the lift force that keeps the airplane aloft, and the backward force is called induced drag. At flying speeds, induced drag is inversely proportional to v 2 , so that the total air resistance force can be expressed by Fair = av2 + b/v2 where a and b are positive constants that depend on the shape and size of the airplane and the density of the air. For a Cessna 150, a small single-engine airplane, a = 0.30 N.s2 /m2 and b = 3.5×105 N.m2 /s 2 . In steady flight, the engine must provide a forward force that exactly balances the air resistance force. 1. Calculate the speed (in km/h) at which this airplane will have the…

a 400 N block slides on a horizontal plane by applying a horizontal force of 200 N and reaches a velocity of 20 m/s in a distance of 30 m. from rest. compute the coefficient of friction between the floor and the block.

A shuttlecock is launched from the ground with an initial speed of 36.9314 m/s at an angle of 7.9755 degrees with respect to the horizontal. The shuttlecock experiences air resistance with a drag coefficient of 0.2496 in an environment where the air density is 0.3206 kg/m3. If the shuttlecock has a radius of 3.4 cm and a mass of 5.2 grams, what is the maximum height reached by the shuttlecock? Assume that the experiment is done near the surface of the earth. Kindly help me answer this one

A plastic disc is flicked up a sloping board. It has an initial speed of 1.6 ms ¹, but gradually slows down. The board is inclined at 18° to the horizontal, and when the disc is flicked its centre is 0.3 m from the top of the board, as shown below. The coefficient of sliding friction between the disc and the board is 0.05. Model the disc as a particle, and take the magnitude of the acceleration due to gravity to be g = = 9.8ms ². 0.3 m 18 j In your response to this question, underline vectors to distinguish them from scalar quantities. If the magnitude of a vector is unknown, use the vector letter to represent the magnitude. For example, write the magnitude of a vector A as A. (a) State the three forces acting on the disc while it is sliding up the board, and draw a force diagram to represent them, labelling each force appropriately and indicating the directions of the forces by marking the sizes of suitable angles. (b) Find expressions for the component forms the three forces, in…

In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 0 = 27.8°. The slab has length L = 41.2 m, thickness T = 7.51 m, and width W = 14.1 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.315. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 7.06 cm² and will snap under a shearing stress of 3.06 × 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force. (a) Number i (b) Number (c) Number i Units Units Units <

A box of mass 7.7 kg is given an initial speed of vo = 5.1 m/s along a ramp as indicated in the figure (θ = 69.7o).   If the coefficient of kinetic friction between the box and the ramp is μk = 0.48, find the magnitude of the acceleration of the box.

An object moves with an initial speed of 5.01 m/s. It then enters a region with friction causing the object to come to rest after moving 2.56 m. What is the coefficient of friction?