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Your cat Ms. (mass 8.50 kg ) is trying to make it to the top of a frictionless ramp 2.00 m long and inclined
Your cat "Ms." (mass 8.50 kg ) is trying to make it to the top of a frictionless ramp 2.00 m long and inclined 19.0 above the horizontal. Since the poor cat can't get any traction on the ramp, you push her up the entire length of the ramp by exerting a constant 56.0 N force parallel to the ramp. If Ms. is moving at 1.90 m/s at the bottom of the ramp, what is her speed when she reaches the top of the incline? Part C What is the cat's speed v2 when she reaches the top of the incline? Express your answer in meters per second to three significant figures. v View Available Hint(s) Hint 1. How to use the work-energy theorem To find a body's speed at the initial and final positions of its motion using energy considerations, calculate the total work done on the body and the body's kinetic energy. As explained in the strategy, you can calculate the total work Wtot done on the body by adding the amounts of work done by each force acting on the body. Alternatively, you can calculate the vector sum of the forces (the net force) and then find the work done by the net force. In this tutorial, we'll use the second method. Hint 2. Find the total work done on the cat Calculate the total work Wtot done on the cat when she reaches the top of the ramp. Express your answer in joules to three significant figures. v View Available Hint(s) Hint 1. Find the x component of the net force acting on the cat Find Fx,net. the component of the net force acting on the cat parallel to the displacement. Recall that if a force does not point directly in the x or y direction, you will have to find its x and y components. Express your answer in newtons to three significant figures. v View Available Hint(s) Hint 1. Trigonometric relations In a right triangle such as the one shown in the figure below, the sides of the triangle are related to the angle o by the following equations: a = c cos d and b = csin d b a Fx,net = N Submit Request Answer ? Wtot = J Submit Request Answer Hint 3. Find the cat's initial kinetic energy If the cat takes a running start so that she is moving at 1.90 m/s at the bottom of the ramp, what is her kinetic energy Kj at that point? Express your answer in joules to three significant figures. v View Available Hint(s) Hint 1. Kinetic energy The kinetic energy of a body of mass m that moves with speed v is defined as K = ] ? K1 = J Submit Request Answer Hint 4. Complete previous hint(s) I ? v2 = 14.4 m/s Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining
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