A toy jeep rolls down an incline at a constant velocity. The jeep's mass is m = 1.9 kg and the ramp makes an angle of θ = 17 degrees with respect to the horizontal. Assume the rolling resistance is negligible. Assuming the jeep experiences only air resistance in opposition to its motion, with magnitude Fr. Write an expression for the sum of the forces in the x-direction using the acceleration due to gravity, g, and the variables provided.

Three forces are applied to an object, as shown in the figure. Force ->F1 has amagnitude of 24.4 newtons (24.4 N) and is directed 30.0 degrees to the left of the (+) yaxis. Force ->F2 has a magnitude of 15.4 N and points along the (+) x axis. What mustbe the (a) magnitude and (b) direction (specified by the angle (theta) in the drawing) ofthe third force ->F3 such that the vector sum of the three forces is 0 N?

A drag chute must be designed to reduce the speed of a 1171 kg dragster from 342 km/hr to 80 km/hr in 4 seconds. Assume that the drag force is proportional to the velocity (kv). a) What value of the drag coefficient k is needed to accomplish this? kg · s? (Leave an exact answer.) m2 k = b) How far (in meters) will the dragster travel in the 4-sec interval? d = meters. (Round to the nearest meter) Question Help: O Message instructor Submit Question

A block with some mass m is connected to a string that is attached to the ceiling. The block on the end of the string is going around a circular path with a constant radius r and constant speed.  Applying Newton's second law to the x and y components of forces seperately in order to find the expressions for the tension of the string in terms of mass m, angle θ, and constant g.

Two blocks of mass m, = 10 kg and mg = 5 kg are connected by a massless string that passes over a pulley as shown in the figure. The system is in static equilibrium. There is friction between m, and the inclined surface (u.-0.4), Neglect the friction between the string and the pulley. Determine the tension in the string. 10 kg 5.0 kg 37 65.35 N () 147.0 N 98.0 N 49.0 N O 52.3 N

A toy car is rolling down the ramp as shown in the figure. The car's mass is m = 1.6 kg and the ramp makes an angle of θ = 12 degrees with respect to the horizontal. Assume the car is rolling without friction. A) Using the coordinate system specified given an expression for the acceleration of the car in the terms of θ, g and the unit vectors i and j. B) What is the magnitude of this acceleration in m/s^2

A block of mass 4.6 kg is sliding down a ramp with an initial speed of 1.5 m/s. The ramp is inclined from the horizontal by an angle theta = 34.9 degrees and the coefficient of kinetic friction is  uk = 0.73. What is the magnitude of the displacement of the block along the ramp from the initial time until it stops?

A student is pulling a crate with a mass of 66.6 kg along a horizontal frictionless floor with a rope that’s inclined at an angle θ = 30.0° above the horizontal as shown. The tension force is measured to be 239 N. What is the magnitude of the normal force on the crate from the floor, in Newtons? 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 block of mass 50.0 kg slides at uniform speed down a plane inclined at 12.0° to the horizontal. What is the coefficient of friction between the surfaces in contact? What force parallel to the plane is required to move the block at uniform speed up the plane?

A stone has a mass of 8.79 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.818. When the tire surface is rotating at 10.9m/s, the stone flies out the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 2.46 N. Assume that only static friction supplies the centripetal force, and determines the radius r of the tire (in terms of m)