300 g 1.2 m k = 500 N/m అనువము 30° 900 g

Two forces, F , = (-2,65î + 4.10ĵ) N and F, = (-4.50î + 7.10ĵ) N, act on a particle of mass 2.30 kg that is initially at rest at coordinates (+1.95 m, –4.20 m). (a) What are the components of the particle's velocity at t = 11.3 s? m/s (b) In what direction is the particle moving at t = 11.3 s? ° counterclockwise from the +x-axis (c) What displacement does the particle undergo during the first 11.3 s? AF = (d) What are the coordinates of the particle at t = 11.3 s? m

The force of that particle 2 exerts on 1 is given by: F→21(t)=Fxe^−(t/T)ı^+Fysin⁡(2πt/T)ȷ^ Where the parameters have the values: Fx=−16.1 N, Fy=101 N, T=67 s.We will consider a time interval that begins at ti=0 s and ends at tf=321 s. the mass of particle 1 is 13.9 kg and its intial velocities are 54 m/s I^ + (-42 m/s)J^. What is the x and y displacement for particle 1?

A car of mass m slides across a patch of ice at a speed v with its brakeslocked. It the hits dry pavement and skids to a stop in a distance d. Thecoefficient of kinetic friction between the tires and the dry road is µ.2. If the car has a mass of 2m, it would have skidded a distance of(A) 0.5 d (B) d (C) 1.41 d (D) 2 d3. If the car has a speed of 2v, it would have skidded a distance of(A) d (B) 1.41 d (C) 2 d (D) 4 d

An acrobatic buccaneer swings from one rope to another in the rigging of a pirate ship. As she grasps the rope, her mass is m, 63.5 kg; knots on the rope make the rope's effective mass m, 1.50 kg. From the height %D she grabs the rope, she swings up a further distance of 1.50 m. Assuming that her collision with the rope is perfectly inelastic, answer the following questions: {Note: Treat as a ballistic pendulum problem!} mehanical a) Does the buccaneer's collision with the rope conserve her-kietie en- ergy? {Y/N?} b) Neglecting any energy losses due to friction, air drag, etc., determine the velocity of the buccaneer + rope system right after she grabs the rope in m/s. {Assume a closed system, thus Conservation of Energy} c) Is it possible to calculate the buccaneer's initial speed before she grabbed the rope from the information given? {Y/N?}

Problem 3: A particle with mass ma = 3.00 kg is located at ra = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB = (1.50 i - 3.00 j) m. Find the location of the center of mass of the system relative to the point (1,1).

Given: The ball strikes the smooth wall with a velocity (v b) 1 = 20 m/ s. The coefficient of restitution between the ball and the wall is e = 0.75. Find height max and distance after impact. (Vb)2 0 30° (Vb)₁ = 20 m/s Ay X

Enter an expression for the initial acceleration of the rocket as it lifts vertically off of the ground with a mass m, assuming that it burns fuel at a rate R (kg/s) and shoots the resulting exhaust downward at speed vex. a = - Vex/m (m/R )| α a h В d j 0 50 K g k 9 HOME (1) 7 8 ^^^ 4 5 6 1 1 2 3 SANT

On a frictionless plane, a body with mass m1 hits with velocity v a second body at rest (mass m2) and connects to it. Subsequently, the composite body hits via a spring (spring constant k) a third body at rest (mass m3). a) Determine the speed v of the mass m1 such that m3 remains at rest, if the plane solely at the location of m3 is rough (coefficient of static friction μ0). b) Determine the speed of m3 after collision if the plane at the location of m3 is also frictionless.

A basketball is dropped from a height of 2.5 m onto a gym floor. If the coefficient of restitution between ball and floor is.8, how high will the ball bounce?