7) A block of mass m1 = 10.5 kg slides along a horizontal surface (with friction, \mu k = 0.32) a distance d = 2.25 m before striking a second block of mass m2 = 7.25 kg. The first block has an initial velocity of v= 8.25 m/s. Assuming that block one stops after it collides with block two, what is block two's velocity after impact in m/s? How far does block two travel, d2 in meters, before coming to rest after the collision? m₁ V J m₂

A small block of mass m, = 0.420 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m, = 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure a. When the block leaves the wedge, its velocity is measured to be vę = 4.20 m/s to the right as shown in Figure b. h m2 (a) What is the velocity of the wedge after the block reaches the horizontal surface? m/s to the left (b) What is the height h of the wedge?

Problem 6: Determine the velocity of the 100-kg block A if the two blocks are released from rest and the 50-kg block B moves 0.5 m up the incline. The coefficient of kinetic friction between block A and the inclined plane is μk = 0.10 while the coefficient of kinetic friction between block B and the plane is μ = 0.20 60⁰ 30° B

Problem 3: A student of mass m = 51 kg runs at a velocity v; = 1.53 m/s before leaping on a skateboard. After leaping on the board the student has a velocity vf = 1.44 m/s. What is the mass of the skateboard, in kilograms? Numeric : Anumeric value is expected and not an expression. Mp =

A 0.160-kg hockey puck is moving on an icy, frictionless, horizontal surface. At t = 0, the puck is moving to the right at 3.00 m/s. (a) Calculate the velocity of the puck (magnitude and direction) after a force of 25.0 N directed to the right has been applied for 0.050 s. (b) If, instead, a force of 12.0 N directed to the left is applied, how long would it take to stop the puck?

Scenario #2: It's Rocket Science This problem is all about rockets! Assume the rocket mass is 2 × 104 kg (20,000 kg) for this scenario. Multiple Choice Questions The acceleration of a rocket is complicated. The thrust force and the mass of the rocket change as fuel is burned and ejected. Model this time-varying acceleration for the rocket as a() = († /kr) ³ kt where ß = 2.5 m/s² and k = 0.01 s¹. Ignore all forces except thrust and gravity. 3) What is the thrust force magnitude at t= 30 s? Hint, you must consider gravity. a) 1.2 x 105 N c) 3.3 × 105 N d) 4.2 x 105 N b) 2.7 x 105 N 4) If the rocket starts from rest at t = 0 s, what is its velocity at t = 30 s? a) 0 m/s f c) 75 m/s f d) 89 m/s j b) 2.5 m/s f e) 5.6 x 105 N f) 8.8 x 105 N e) 107 m/s f f) 294 m/s f Short Answer Question Before launch, the rocket (m = 2 x 104 kg) rests on the ground and is partially supported by two cables attached to the launch platform. The cables make an angle of 35⁰ from vertical as shown and cable has a…

1.A 0.726-kg rope 2.00 meters long lies on a floor. You grasp one end of the rope and begin lifting it upward with a constant speed of 0.710 m/s. Find the position and velocity of the rope’scenter of mass from the time you begin lifting the rope to the time the last piece of rope lifts off the floor. Plot your results.(Assume the rope occupies negligible volume directly below the point where it is being lifted.)

A car of mass m moves with a speed of Vo. The driver suddenly sees another car, of mass 3m, sitting at rest. The driver slams on the brakes. The coefficent of kinetic friction between the car and the road is μk. a) How far away must the second car be if the first car is to stop exactly in time to avoid hitting it? b) Suppose the car is a distance of d/2 away where d is the distance you found in part (a). Find the momentum of the car as it collides with the car at rest. c) Use conservation of momentum to calculate the speeds of both cars after the collision.

A tennis ball is flying east towards the wall with a speed of 40.3 m/s. After bounced against the wall, it's flying west with a speed of 28.2 m/s.  If the mass of the ball is 0.1 kg, and the time of collision with the wall is 0.033 second, what is the magnitude of force on the wall during this process in unit of Newton?