A ball of mass m falls freely from the ground at height h an

Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m.  Initially, the spring is unstretched and the bodies are at rest.  If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then  -20 Nm of work was done by the spring on the body A, B system. Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m.  Initially, the spring is unstretched and the bodies are at rest.  If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then  -20 Nm of work was done by the spring on the body A, B system. True False

A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal, and the ball is released from rest (see the drawing). It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible, and the collision is elastic. The masses of the ball and block are, respectively, 1.7 kg and 2.5 kg, and the length of the wire is 1.36 m. Find the velocity (magnitude and direction) of the ball just after the collision.

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?

Block A (with mass 10 kg) slides along a frictionless floor with a speed of 0.75 m/s and collides with Block B (with mass 12 kg) which was at rest and is attached to a spring with spring constant 24 N/m. The blocks stick together after the collision; what is the maximum compression of the spring?

A block having a mass of 1.0 kg is given an initial velocity v= 6 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k =100 N/m . Assuming the surface to be frictionless, e the maximum compression of the spring after the collision m 6 m 5 m None

A car's suspension is modeled by the overdamped oscillator L=(D−1)(D−2)L=(D−1)(D−2).  (a) Find the impulse response of the suspension. (That is, solve Ly=δ(t),y′(0)=y(0)=0Ly=δ(t),y′(0)=y(0)=0.) (b) What happens to the car if the car rolls over three evenly spaced sharp bumps? (That is, solve Ly=δ(t)+δ(t−1)+δ(t−2)Ly=δ(t)+δ(t−1)+δ(t−2).) Hint: convolve with the impulse response.

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 50.1 kg. You pick up an object and drop it from rest, starting at a height of 1.97 meters above the floor, and it hits the floor 0.380 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body?     684 N     911 N     1,367 N     491.5 N

A small ball of mass mb = 0.050 kg is projected into a pendulum of mass Mp = 0.200 kg in a ballistic pendulum experiment. How fast does the ball need to go in order to get the pendulum to swing up to a height of h = 0.25 m above its original position?     2.21 m/s     0.111 m/s     11.1 m/s     0.553 m/s

A block of mass M is traveling on a surface inclined at angle θ. The coefficient of kinetic friction is μk, between block and surface. The velocity of the block is V before colliding with a spring. The spring has a stiffness k. How much is the spring compressed?