Suppose the ski patrol lowers a rescue sled carrying an injured skiler, with a combined mass of 95.1kg, down a 60.0 slope at constant speed, as shown in the Figure. The coefficient of kinetic friction between the sled and the snow is 0.100. A. How much work, in joules, is done by friction as the sled moves 29.4 m along the hill? B. How much work, in joules, is done by the rope on the sled over this distance? C. What is the work, in joules, done by the gravitational force on the sled? D. What is the net work, in joules, done on the sled?
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- A person pulls a 20 kg heavy box horizontally, which slides at a constant speed. The person makes a force of 60 N in the first 6.88 m. Then she starts to get tired. The force it exerts then begins to decrease linearly until it extinguishes in the next 6.88 m. The moment the person's strength runs out, the box no longer moves. How much work did this person do on the box? What is the starting speed of the box?Consider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. a. How much work in joules does she do if her center of mass rises 0.27 m? b. What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.A grocery cart with a mass of 10 kg is being pushed at constant speed up a 25° ramp by a force Fp which acts parallel to the incline. (Ignore the friction) a. Draw a free-body diagram of the cart showing all the forces acting on it. b. Find the work done by each of the forces (W, Fn, Fp) on the cart if the ramp is 7.5 m long. Hints: The question is very similar to the question of a piano sliding down an incline discussed in class. However, here the object is pushed up the incline. The forces Fn = mgcos(0), and Fp = mgsin(0), so don't spend time getting these using Newton's 2nd law. Also, the weight is W = mg. c. Find the net work done on the cart.
- A puck with a mass of 159.0 g is sliding with an initial velocity 31.0 m/s. The puck enters a section of rough ice and slows to a speed of 15.1 m/s. What is the magnitude of the work done on the puck by the rough ice? Express your answer in Joules to 1 decimal place.Bob is pulling a box of his toys of mass 15.0 kg along a rough horizontal surface for a distance of 6.00 m. The tension force in the rope is 58.0 N and the angle is 30° with respect to the horizontal. The frictional force on the box is 12.0 N. How much work is done on the box by the normal force, in Joule? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.A crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.358. Consider the work done on the crate as it moves a distance d = 5.32 m at constant speed. a. What is work done by the pushing force, in joules? b. What is the work done by friction, in joules? c. What is the work done by gravity, in joules? d. What is the net work, in joules?
- A student, starting from rest, slides down a water slide. On the way down, a kinetic frictional force (a nonconservative force) acts on her. The student has a mass of 66 kg, and the height of the water slide is 11.1 m. If the kinetic frictional force does -6.4 × 103 J of work, how fast is the student going at the bottom of the slide? vf = Type your answer here Choose your answer hereAn Olympic weightlifter lifts a 2200 N barbell a distance of 2.2 m. This takes 1.80 s. a. Find the work done by the weightlifter on the barbell in Joules.b. Find the power output of the weightlifter in Watts and in horsepower (hp). Note: 1 hp = 746 WA farmer is using a rope and pulley to lift a bucket of water from the bottom of a well that is hy = 9.5 m deep. The farmer uses a force F1 = 59.5 N to pull the bucket of water directly upwards. The total mass of the bucket of water is mb + mw = 3.1 kg. a.Calculate how much work Wf in J the farmer does on the bucket of water (via the rope) to raise it to ground level. b.Calculate how much work Wg in J gravity does on the bucket filled with water as the farmer lifts it up the well. c. Calculate the net work Wnet in J done on the bucket of water by the two forces F1 and Fg.
- A 101-kg man is skiing across level ground at a speed of 9.5 m/s when he comes to the small slope 1.8 m higher than ground level shown in the following figure. a. If the skier coasts up the hill, what is his speed when he reaches the top plateau? Assume friction between the snow and skis is negligible. b. What is his speed when he reaches the upper level if an 80-N frictional force acts on the skis?The overworked Amazon delivery person is driving up a steep hill with an incline of 26° when a box they forgot to secure starts sliding toward the back of the truck. The 3.5 kg box starts from rest near the drivers seat and slides 2.1 m along the floor to the rear door. The coefficient of kinetic friction between the box and the floor is 0.36. What is the work done by the weight of the box? Wmg 31.6 J What is the work done by the Normal Force? WN = 0 What is the work done by the frictional force? Wfk = 23.31 What is the net work done on the box? Wnet What is the change in kinetic energy for the box? AKE How fast is the box moving just before it hits the rear door? Vfinal = J J X J J msa.) A student is riding a bicycle at a constant speed of 6.0 m/s on a level road. The mass of the student and bicycle together is 80 kg. Assume the friction and drag is 35 N. What is the student's output power, in Watts? b.) A student is riding a bicycle at a constant speed of 6.0 m/s on a 7.0º hill. The mass of the student and bicycle together is 80 kg. Assume the friction and drag is 35 N. What is the student's output power, in Watts?