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Review. The gravitational force exerted on a baseball is
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- For t 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed vi. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet=mkv2i, where k is a constant. The speed of the object after t = 0 is given by v = vi/(1 + kvit). (a) Find the position x of the object as a function of time. (b) Find the objects velocity as a function of position.arrow_forwardDavid throws a 50 kg cart down a ramp with an initial speed of vi = 6 m/s. The ramp is at an angle of 20◦, and the coefficient of kinetic friction between the cart and the ramp is µk = 0.25. Additionally, the coefficient of static friction is µs = 0.55. How much time does it take to reach Ryan who is 10 m away? Assume that the cart slides and doesn’t roll.arrow_forwardOn a windy day, you decide to use a small homemade parachute to travel up a 7.4 degree hill on your frictionless rollerblades. You begin from rest at the bottom of the hill and travel a distance of 23 meters up the hill (measured along the incline), reaching a speed of 14 m/s. You have a mass of 60 kg. Determine the force the wind exerts on the parachute, assuming the force the wind exerts is parallel to the surface of the incline. Use conservation of energy.arrow_forward
- A box of mass m=4.00 kg is pressed against the ceiling of a room by an upward vertical force F-> =66.0ȷ^ N as shown in the figure. Assume that the magnitude of gravitational acceleration is g-> =10.0ȷ^ m/s2. Determine the normal force N-> that the roof exerts on the box. (In the alternatives below, consider j =ȷ^). Options are shown bellow:arrow_forwardA 6.0 kg toy car can move along an x axis. The figure gives Fx of the force acting on the car, which begins at rest at time t = 0. The scale on the FX axis is set by Fxs = 6.8 N. In unit-vector notation, what is P at (a)t = 4.0 s and (b)t = 7.0 s,(c) what is at t = 9.0 s? F(N) (a) Number i (b) Number (c) Number i + + + F XS -F t(s) 2 6 + \.> k Units + k Units + \.> k Units > >arrow_forwardA skier slides down a hill in a straight line. The hill is 60m high and the coefficient of kinetic friction between the snow and the skis is 0.1. The hill is at an angle of 10 degrees with the horizontal. The mass of the skier is 70 kg. If the skier starts her run from rest and air friction can be ignored, how fast is she moving at the bottom of the hill? Please answer in units of m/s.arrow_forward
- A 4.0 kg toy car can move along an x axis. The figure gives Fx of the force acting on the car, which begins at rest at time t = 0. The scale at t = 3.0 s? on the Fx axis is set by Fxs = 5.0 N. In unit-vector notation, what is P at (a)t = 3.0 s and (b)t = 6.0 s,(c) what is Fx (N) F A 6 8 -F -t (s)arrow_forwardA Chinook salmon can swim underwater at 3.58 m/s, and it can also jump vertically upward, leaving the water with a speed of 6.26 m/s. A record salmon has length 1.50 m and mass 61.0 kg. Consider the fish swimming straight upward in the water below the surface of a lake. The gravitational force exerted on it is very nearly canceled out by a buoyant force exerted by the water. The fish experiences an upward force P exerted by the water on its threshing tail fin and a downward fluid friction force that we model as acting on its front end. Assume the fluid friction force disappears as soon as the fish’s head breaks the water surface and assume the force on its tail is constant. Model the gravitational force as suddenly switching full on when half the length of the fish is out of the water. Find the value of P.arrow_forwardAn 8.00 kg box sits on a ramp that is inclined at 33.0 above the horizontal. The coefficient of kinetic friction between the box and the surface of the ramp is mk = 0.300. A constant horizontal force F = 26.0 N is applied to the box, and the box moves down the ramp. If the box is initially at rest, what is its speed 2.00 s after the force is applied?arrow_forward
- A particle of mass 5.70 kg moves in the horizontal xy plane. The only force acting on the particle with component in the xy plane has expression (in newtons) F =4.70x2ı^, where x is in meters. Assume that the particle's trajectory is a straight line from the position (in meters) r0=2.10ı^ +2.10ȷ^ to the position (in meters) rf=6.50ı^ +2.10ȷ^. Also consider that its speed at position r0 has a magnitude of 3.80 m/s. Calculate the magnitude (in m/s) of the particle's velocity at position rf. Give your answer to three significant figures. (only numbers)arrow_forwardA 3.0 kg toy car can move along an x axis. The figure gives Fx of the force acting on the car, which begins at rest at time t = 0. The scale on the Fx axis is set by Fxs = 7.0 N. In unit-vector notation, what is P at (a)t = 2.0s and (b)t = 9.0 s,(c) what is att = 7.0 s? (a) Number 14 (b) Number i 63 (c) Number i <•+ + 0 0 0 Fx (N) F -F 2 4 + + 6 0 0 0 t(s) k Units k Units k Units kg.m/s or N-s kg.m/s or N-sarrow_forwardA 10.0 kg box rests on a horizontal board. One end of the board is slowly raised and it makes an angle with the floor. The box slides at a constant velocity when the plane makes an angle = 12.8o with the floor (Use this information to find k). Find the magnitude and direction of the acceleration of the box when the board is raised to an angle of = 13.9o with the floor.arrow_forward
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