A student of mass m1= 57 kg stands on a long cart of mass m2=135 kg initially at text. He begins to run in the cart with a speed relative to the ground of v1=3.3 m/s. Randomized Varibles M1= 57 kg M2= 135 Kg V1= 3.3 m/s (A) write an expression for the horizontal component of the carts velocity relative to the ground while the student is running, in terms of the variables given in the problem statement. Assume the student is running in the positive X direction. (B)  what is the velocity in meters per second? (C) what is the horizontal component of the students velocity relative to the cart, in meters per second? Use a coordinate system fixed to the cart which has the same orientation for the X axis as a system fix to the ground we defined in part (a).

A 13.8 kg block is sliding along a frictionless surface with a speed of 95.7 m/s. It collides with a second block of mass 93.1 kg. The second block is initially at rest. After the collision, the first block has rebounded with a speed of 26.1 m/s. If this collision is one dimensional, what is the speed in (m/s) of the second block after the collision?

A baseball of mass m1 = 0.37 kg is thrown at another ball hanging from the ceiling by a length of string L = 1.4 m. The second ball m2 = 0.71 kg is initially at rest while the baseball has an initial horizontal velocity of V1 = 2.5 m/s. After the collision the first baseball falls straight down (no horizontal velocity). Randomized Variablesm1 = 0.37 kgm2 = 0.71 kgL = 1.4 mV1 = 2.5 m/s a)What is the angle that the string makes with the vertical at the highest point of travel in degrees?

I want (a) & (b) answer

A rigid ball of mass m and velocity u undergoes an inelastic collision with another rigid ball of mass m and velocity -u. After the collision, the balls stick together. Find the mass of the composite object after the collision. What must |u| be for the composite object mass to be 3m?

Problem 7: The figure shows Superhero and Trusty Sidekick hanging motionless from a rope. Superhero's mass is 98 kg, while Trusty Sidekick's is 47 kg, and the mass of the rope is negligible. Randomized Variables m¡ = 98 kg m2 = 47 kg m 2 Part (a) Find the tension in the rope above Superhero in Newtons. Numeric : A numeric value is expected and not an expression. T = Part (b) Find the tension in the rope between Superhero and Trusty Sidekick in Newtons. Numeric : A numeric value is expected and not an expression. T' =

A baseball of mass m1 = 0.34 kg is thrown at a concrete block m2 = 7.5 kg. The block has a coefficient of static friction of μs = 0.76 between it and the floor. The ball is in contact with the block for t = 0.105 s while it collides elastically. The force of interaction between the block and the ball is constant for the duration of their collision. Randomized Variables m1 = 0.34 kgm2 = 7.5 kgμs = 0.76t = 0.105 s a.  Write an expression for the minimum velocity the ball must have, vmin, to make the block move.  b. What is the velocity in m/s?

Problem 9: A baseball of mass mj = 0.39 kg is thrown at another ball hanging from the ceiling by a length of string L = 1.35 m. The second ball m2 = 0.79 kg is initially at rest while the baseball has an initial horizontal velocity of V, = 3.5 m/s. After the collision the first baseball falls straight down (no horizontal velocity). Randomized Variables V, m1 = 0.39 kg m2 = 0.79 kg L= 1.35 m V1 = 3.5 m/s m, m,

During a car collision, the knee, thighbone, and hip can sustain a force no greater than 4000 NN. Forces that exceed this amount could cause dislocations or fractures. Assume that in a collision a knee stops when it hits the car's dashboard. Also assume that the mass of the body parts stopped by the knee is about 20% of the total body mass. The person with a mass of 90 kgkg is initially traveling at 18 m/sm/s (40 mi/hmi/h).  What minimum stopping time interval in needed to avoid injury to the knee?  What is the minimum stopping distance?

By using bumpers on the two carts, the two carts will not stick together. In this part of the experiment, you will need to separately measure the velocities of the two carts after the collisions. You will use a photogate to measure the velocity of the second cart which is again initially at rest. motion detector cart 1 bumpers track cart 2 mass of cart 1: 500.1 g mass of cart 2: 510 g measured velocity of cart 1 before collision: 0.353 m/s measured total kinetic energy before the collision: measured total kinetic energy after the collision: measured velocity of cart 1 after the collision: -0.018 m/s measured velocity of cart 2 after the collision (from photogate): 0.226 m/s. expected velocity of cart 2 after the collision, based on conservation of momentum: Bof (show calculation here) 0.329 m/s percent difference between measured and expected final velocities of cart 2: photogate