Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 95.0 kg, down a 0=54.0° slope at constant speed, as shown in the figure. 60 + The coefficient of friction between the sled and the snow is 0.100. (a) How much work is done (in J) by friction as the sled moves 30.0 m along the hill? (b) How much work is done (in J) by the rope on the sled in this distance? X J (c) What is the work done (in J) by the gravitational force on the sled? × J
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- Suppose a car travels 108 km at a speed of 20.0 m/s, and uses 1.90 gallons of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is 1.3 ✕ 108 J per gallon.)(a) What is the force exerted to keep the car moving at constant speed? N (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s? gallonsSuppose a car travels 108 km at a speed of 20.0 m/s, and uses 2.00 gallons of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is 1.3 ✕ 108 J per gallon.)(a) What is the force exerted to keep the car moving at constant speed? N (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s? gallonsA crane slowly lifts a 263 - kg crate a vertical distance of H = 13.0 m. mg crane F crane (a) How much work does the crane do on the crate? Enter to 3 significant figures W H 0 33,500 (b) How much work does the gravity do on the crate? Enter to 3 significant figures X√J XVI W gravity (c) What is the total work done on the crate? Enter to 3 significant figures ✓J W total = -33,500
- A snowmobile is pulling a sled (m = 380 kg) across the snowy tundra (see the figure below). The snowmobile applies a pulling force of 2480 N at an angle of pulls the sled over a distance of 49.8 m. (a) How much work is done by the snowmobile? 118719.66 J 0° (b) If the sled is also being acted on by a constant kinetic friction force of 240 N and it started from rest, what is the final speed of the sled? 2848.55 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s Need Help? Read It 16° with respect to the ground andSuppose a car travels 108 km at a speed of 25.0 m/s, and uses 2.20 gallons of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is 1.3 ✕ 108 J per gallon.)(a) What is the force exerted to keep the car moving at constant speed? N (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s? gallonsA factory worker pushes a 30.0 kg crate a distance of 3.7 m along a level floor at constant velocity by pushing downward at an angle of 30∘ below the horizontal. The coefficient of kinetic friction between the crate and floor is 0.25. How much work is done on the crate by this force when the crate is pushed a distance of 3.7 m? How much work is done by the normal force? How much work is done by gravity? What is the total work done on the crate?
- A large cruise ship of mass 7.00 ✕ 107 kg has a speed of 12.2 m/s at some instant. (a) What is the ship's kinetic energy at this time? J(b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) J(c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.00 km? NAn asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 5.3x 104 kg, and the force causes its speed to change from 6900 to 5500m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2.3x 10 m determine the magnitude of the force. (a) Work- (b) F- iA 287-kg crate is being pushed across a horizontal floor by a force P that makes an angle of 17.1 ° below the horizontal. The coefficient of kinetic friction is 0.253. What should be the magnitude of P, so that the net work done by it and the kinetic frictional force is zero? Number M. Units
- A large cruise ship of mass 6.00 ✕ 107 kg has a speed of 12.4 m/s at some instant. (a) What is the ship's kinetic energy at this time? J(b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) J(c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.40 km? NWfric Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 100.0 kg down a 60° slope at constant speed, as shown in the figure. The coefficient of friction between the sled and the snow is 0.100. = (a) How much work is done by friction as the sled moves 30.0 m along the hill. Enter to 3 significant figures Wrope 1.47 × 10³ J = W grav 60° (b) How much work is done by the rope on the sled in this distance? Hint: use Newton's second law to find the tension. Enter to 3 significant figures W -2.39x104 T = 2.55×104 J (c) What is the work done by the gravitational force on the sled? Enter to 3 significant figuresA mechanic pushes a 2480-kg car from rest to a speed of ?v, doing 4.66e3 J of work in the process. During this time, the car moves 25.7 m. (Neglect the friction between car and road.) (a) Find ?v. m/s ( ± 0.02 m/s) (b) Determine the horizontal force exerted on the car. N ( ± 2 N)