An automobile of mass m moves against a retarding drag force F, = -kmv, %3D where v is the velocity of the automobile. a) Write down the equation of motion for the automobile, including the force FE supplied by the engine.
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- a car of mass 2.0*10^3 kg is initialy moving at 21 m/s when the brakes are applied and the car is brought to stop in 25m. Assuming the force that the stops the car is constant, find the magnitude of that force that stop the car?Which of the following statements is incorrect? O Forces are vectors O An object in at rest will have no applied force at all on it. O An object accelerating in a certain direction will have a total force in the same direction. O An object at a constant velocity will have no net force on it. sObjects with masses m, 15.0 kg and m,- 6.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m, tals 1.00 min 1.20 determine the coefficient of kinetic friction between m, and the table 054 x Express the fiction force in terms of the coefficient of kinetic friction. Obtain an expression for the acceleration in terms of the masses and the net force, including friction, and solve for the coefficient of kinetic
- A constant force acts on an object of mass 5kg for a duration of 2 second. It increases the object's velocity from 3 metre per second to 7 metre per second. Find the magnitude of the applied force. now if the force applied for a duration of 5 seconds what would be the final velocity of object.A block with mass mi is placed on an inclined plane with slope a and is connected to a second hanging block with mass m2 by a cord passing over a small, frictionless pulley. The coefficient of static friction is µs and the coefficient of kinetic friction is µk. Find the mass m2 for which the block m¡ moves up the plane at constant speed once it is set in motion. 3.A 1100-kg car pulls a boat on a trailer. (Enter the magnitudes.) (a) What total force resists the motion of the car, boat, and trailer, if the car exerts a 1930-N force on the road and produces an acceleration of 0.530 m/s2? The mass of the boat plus trailer is 600 kg. (b) What is the force in the hitch between the car and the trailer if 80% of the resisting forces are experienced by the boat and trailer? N
- Physics Traveling at v=50 km/h you bring your new Porsche to a stop light, m=1.7 Mg, with |a|=1.77 m/s^2 What was your average breaking force, ?^hat? A couch, m=39 kg, is being pushed up an θ=24˚ ramp with a force of P=200 N. Friction, R=31 N, is along the ramp. Find ?^hat. An m=20 kg box slides down a ramp at constant velocity with a constant friction force of R=40 N. Find ?.A truck of mass 7 tonnes was moving with a velocity of 145 km/hr. The brakes were applied to bring the truck to 5 km/hr in 450 m. Determine the uniform force exerted by the brakes. Also find the velocity it will reach if the same force is applied in the same direction for 9.5 seconds and also find the distance travelled in this period. The uniform force exerted by the brakes in N is The velocity it will reach if the same force is applied in the same direction for 9.5 seconds in m/s is The distance travelled if the same force is applied in the same direction in this period in m isA box is placed in the bed of a pick-up truck or similar flat-bed vehicle. What the maximum acceleration the truck can undergo for which the block does not slide on the flat vehicle bed? The coefficient of static friction is mu, the vehicle mass is massvehicle, and the box mass is mbox. Derive an expression for max vehicle acceleration in terms of mu, gravitational acceleration, mvehicle, and mbox. Note that your derived expression may not contain all of these terms.
- Newton's second principle states that: A The acceleration has the same direction as the applied force The acceleration of a particle experiencing a constant force is inversely proportional to the (B mass of the particle all of these The acceleration of a particle is directly proportional to the applied force acting on the particle.At last year's Homecoming Pep Rally, Trudy U. Skool (mass 54.5 kg), attempting to generate a little excitement, slid down a 42.0∘ incline from the sports dome to the courtyard below. The coefficient of friction between Trudy's jeans and the incline was 0.650. Determine Trudy's acceleration along the incline and the time it took her to slide the 6.8 m incline from restTwo blocks are joined by an inextensible cable as shown. The mass of block A is 124.2 kg and the mass of block B is 274.6 kg. If the system is released from rest, determine the acceleration (in m/s² ) of block B. Assume that the coefficient of friction between block A and the plane is uk = 0.41 and that the pulley is weightless and frictionless. Round off only on the final answer expressed in 3 decimal places. Use g = 9.81 m/s² A B