At the instant of the figure, a 3.00 kg particle P has a position vector r of magnitude 4.10 m and angle 0, = 41.0° and a velocity vector v of magnítude 7.60 m/s and angle e, = 30.0°. Force F, of magnitude 2.10 N and angle e3 = 30.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on the particle? (a) Number Units kg-m^2/s (b) Number UnitsTN-m

The diagram shows the all of the forces acting on a body of mass 3.13 kg. The three forces have magnitudes F1 = 59.2 N, F2 = 27.7 N, and F3 = 74.4 N, with directions as indicted in the diagram, where θ = 55.8 degrees and φ = 21.4 degrees. The dashed lines are parallel to the x and y axes. At t = 0, the body is moving at a speed of 5.29 m/s in the positive x direction. 1.)What are the x and y components of the acceleration in m/s2?

A cart of mass m, = 6.7 kg is on an inclined ramp (ø = 34.1 degrees). It is attached to a string of negligible mass that goes over an ideal pulley. The other end of the string is attached to another block of mass m, = 11.9 kg, as shown below. The wheels on the cart are good enough that friction between the cart and the ramp is negligible. If the blocks are given an initial speed of v, = 9.1 m/s (with m, moving down the plane), what is the common magnitude of the acceleration of the blocks? (in m/s^2)

A biker is riding his Yamaha Raptor 700r (atv) on an upward hill in the middle of a desert in dubai. The hill has a slope of theta = 120 degrees. The mass of the atv and biker combined is 260 kg and the static friction coefficient between is .43. Determine the minimum speed of the atv to be able to drive over the hill.

A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below. A coordinate plane has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). There are three line segments. The first segment runs from the origin to (6,2). The second segment runs from (6,2) to (11,2). The third segment runs from (11,2) to (17,0). (a) Find the work done by the force on the object as it moves from  x = 0  to  x = 6.00 m.   J(b) Find the work done by the force on the object as it moves from  x = 6.00 m  to  x = 11.0 m.   J(c) Find the work done by the force on the object as it moves from  x = 11.0 m  to  x = 17.0 m.   J(d) If the object has a speed of 0.450 m/s at  x = 0,  find its speed at  x = 6.00 m  and its speed at  x = 17.0 m. speed at  x = 6.00 m       m/s speed at  x = 17.0 m       m/s

Problem 5: Consider the vectors, D = (6.00î - 8.00j) m, B = (-8.00î + 3.00j) m, and A = (26.0î + 19.0j) m.

The ball launcher in a pinball machine has a spring that has a force constant of 50.0 N/m. The surface on which the ball moves is inclined 10.0° with respect to the horizontal. The spring is initially compressed 5.00 cm. Find the distance along the incline that the ball will go to (from the mean position of the spring), if the friction force = 0.1N. Mass of the ball = 20 gram.

A big olive (m = 0.12 kg) lies at the origin of an xy coordinate system, and a big Brazil nut (M = 0.62 kg) lies at the point ( 1.1, 2.1) m. At t = 0, a force F 0 = :(3.8î + 2.13) N begins to act on the olive, and a force É N = (- 3.9î – 2.0j) N begins to act on the nut. What is the (a) x and (b) y displacement of the center of mass of the olive-nut system at t =3.5 s, with respect to its position at t = 0? (a) Number i Units (b) Number i Units

A man is attempting to lift a crate with a double-pulley system, as shown. A single rope is routed from the ceiling, through the two pulleys, and to where the man pulls on it. The crate has mass m2 = 68 kg, and the man has m1 = 75 kg. He pulls downward on the rope with a force of magnitude F = 599 N. The pulleys are both massless and frictionless, and the rope is ideal. What is the magnitude, in newtons, of the tension force, T?What is the acceleration, in meters per squared second, of the crate?

The figure shows a block of mass m resting on a 20o slope. The block has coefficients of friction us=0.64 and uk=0.54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?