b) A sled loaded with Alice has a mass of 71kg and sits on the top of a hill with a height of 24.4m. She slides down the hill a distance of 235m with a force of friction 46N working against her. Find the velocity of the sled at the end of the run.
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- How much work is done against the gravitationaI force on a 5.0-kg briefcase when it is carried from the ground floor to the roof of the Empire State Building, a vertical climb of 380 m?Check Your Understanding Can kinetic friction ever be a constant force for all paths?A train with mass of 2000 kg coasts on a frictionless track with a speed of 50 m/ s . How large a constant retarding force is required to stop it in a distance of 100 m?
- A 20-Mg train is traveling at a speed of 50 m/s at an angle of 10o. But the driver noticed that the bridge 300-m ahead is missing. At once, he pulls the break, thus applying a frictional resistance of Ff = 1000 N. At the same time Super Botting pushes back the train with a force of Fs=(123)d +100, where d is the distance that the train travels before stopping. Determine the stopping distance d, and mention whether or not Superperson would be able to save the train.A 450-N is in contact with a level plane of fk = 0.10. If the block is acted upon by a horizontal force of 75N, what time will elapse before the block reaches a velocity of 15m/s, starting from rest?a mother and her child are skiing together, and the mother is holding the end of a rope tied to the child's waist. They are moving at a speed of 7.2 kph on a gently sloping portion of the ski slope when the morher observes that they are approaching a steep descrnt. She pulls on the rope with an average force of 15 N. Knowing the coefficient of frivtion between the mother and the ground is 0.2, the mass of the mother is 62 kg and the angle of the rope does not change, determine the acceleration of the mother, the time reuired dor the mother's speed to be cut in half, and the distance traveled.
- Show that when a body of mass m is dropped from a height h, the sum of its kinetic and potentialenergies is constant at any instant and is equal to mgh.A 20-Mg train is traveling at a speed of 50 m/s. But the driver noticed that the bridge300-m ahead is missing. At once, he pulls the break, thus applying a frictionalresistance of Ff = 1000 N. At the same time Super Botting pushes back the train witha force of Fs = [(123)d + 100] N, where d is the distance that the train travels before stopping.Determine the stopping distance d, and mention whether or not Superbotting wouldbe able to save the train.Mr. M is driving his truck, which has a mass of 2200kg, at a speed of 125km/h on the 401. He notices a police officer 55m up ahead, so he taps his breaks. If he "taps" for a distance of 55m, and his breaks apply a force of 450 N, how fast will he be going when he passes the police officer?
- A man in a sled, with a total mass of 125 kg, slide down a grassy hill and reaches a speed of 8 m/s at the bottom. If a pile of grass can exert a constant force of 250 Newtons, how fast will the sled stop?The driver of a 1,200kg car travelling with a velocity of 27.0m/s slams on his brakes when he realizes traffic ahead of him has come to a stop. If a force of kinetic friction of -7,500N acts on the car and he applies the brakes 45.0m from the car in front of him, with what velocity will he strike the vehicle?A 15kg object, resting on a frictionless table, is acted by horizontal force of 7N. How long would it take to reach 30m/s velocity?