An automobile weighing 4500 lb is driven down a 5° incline at a speed of 60 mi/h when the brakes are applied, causing a constant total braking force (applied by the road on the tires) of 1800 lb. Determine the distance trav- eled by the automobile as it comes to a stop.
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- Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can only withstand about 1.3 kN. If a 140g baseball strikes your head at 30 m/s and stops in 0.0015 seconds, what is the magnitude of the balls deceleration? Express your answer in meters per second squaredHW 11 Steep safety ramps are built beside mountain highways to enable vehi- cles with defective brakes to stop. A 10-ton truck enters a 15° ramp at a high speed vo 108 ft/s and travels for 6 s before its speed is reduced to 36 ft/s. Assuming constant deceleration, determine (a) the magnitude of the braking force, (b) the additional time required for the truck to stop. Neglect air resistance and rolling resistance. %3D RAIL INES 00 15°A man steps outside one winter day to go to work. His icydriveway is 8.0 m long from top to mailbox, and it slopes downwardat 20° from the horizontal. He sets his briefcase on theice at the top while opening the garage, and the briefcase slidesdown the driveway. Ignore friction. (a) What is its acceleration?(b) How many seconds does it take to get halfway to the mailbox?(c) How many seconds does it take to reach the mailbox?(d) What is its speed at the instant it reaches the mailbox?
- A 2500kg car traveling to the north is slowed down uniformly from an initial velocity of 20m/s by a 6250 N braking force acting opposite the car's motion. (Hint: Since the force is going opposite of the car, then the force must be negative). How long does it take for the car to come to a complete stop? GU E SSa 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.The engine of a small trailerspecial, mass 10 tons, exerts a forceparallel to its displacement and in the same direction,variable as shown below.Determine the final speed of this trailer, inkm/h, at the end of the 20 m displacement, if its initial speed is 57 km/h.
- A 26g-bullet is traveling to the + x direction penetrated a mud hill. The stopping displacement is 7.5 cm. If the initial v when it entered the mud hill is 88.5 meter/second. Solve for the Force which stopped the object.An object of mass 10 kg is roleased from rest 4000 m above the ground and allowed to fall under the influence of gravity Assuming the force duo to air resistance is proportional to tho velocity of the object with proportionality constant b 50 N.sec/m, determine the equation of motion of the object When will the object striko the ground? Assume that the accoloration due to gravity is 9.81 m/sec and let x(t) represent the distance the objoct has fallon in 1 seconds Delermine the oquation of motion of the objectA rocket with a mass of 1 ton is launched vertically. Its initial speed at T = 0 is 1200 km/h, its friction with the air is 200N. Find. a) Differential equation in terms of b, m and g. b) The solution of the differential equation for V. c) The value of the velocity with t= 1 min, 2 min.
- An SUV hauling a trailer is travelling at 20 m/s when the driver brakes. The 1.2 MT trailer isequipped with an in-cab controlled electronic handbrake with a braking force of 4000 N. If thebrake force applied to the 1.4 MT SUV is 5000N, what is the braking distance of both the SUV andthe trailer. Determine the force exerted by the trailer to the SUV.Suppose a car is involved in a collision in which it is brought to a constant speed of 31 m/s. Fortunately, the seatbelt worn by the 65 kg driver brought the driver to rest in 350 ms. How much force is exerted by the seat on the driver? Compute for the acceleration experienced by the driver during collision and how this is compared to the acceleration due to gravity.0.350 and 0.480. Vehicles of all types travel on the road, from small VW bugs weighing 1110 lb to large trucks weighing 7650 lb. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection. minimum braking distance: ft maximum braking distance: ft Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximum desired speed limit. maximum speed limit: mph Which factors affect the soundness of your decision? Precipitation from the fog can lower the coefficients of friction. Drivers cannot be expected to obey the posted speed limit. Reaction time of the drivers is not taken into account. Newton's second law does not apply to this situation.