Objects A and B undergo a one-dimensional elastic collision. The initial speed of A is vAi and the initial speed of B is zero. Equations (8.24) and (8.25) give the final velocity components of the objects after the collision. Let mA = amB, where a is a constant. (a) What is the value of a if the final kinetic energy of B equals the initial kinetic energy of A? (b) What is a if the final kinetic energies of A and B are equal?

A 4He nucleus (atomic weight 4)moving with speed v breaks up into a neutron (atomic weight 1) anda 3He nucleus. The neutron moves off at right angles to theoriginal 4He as shown. If the neutron speed is 3v, the final speed of the 3He nucleus is (a) v. (b) √(7/3)v. (c)4v/√3. (d) √(13/3)v. (e) 5v/3.

A 1.5 kg mass is attached to a 1.6 m long rigid rod of negligible mass that is anchored to the ceiling. The mass is pulled back to an initial angle of 45°and released with an initial speed of 3.0 m/s. Note: The mass is initially moving down not up! 2. L m (a) [Hint: The height of the mass above its lowest point is L(1 – cos 0).] How fast is the mass moving at the bottoms of its swing, when 0 = 0°?

A helicopter with a mass of 10,000 kg takes off straight up at t=0. The thrust of the engine is defined given as a function of time: FT= 95 0.18t- (kN). Where t is in units of seconds. How fast is it rising and what is its elevation at t=4s?

Sweden and Norway are at war over who makes the best pickled herring. You are in charge of a Swedish artillery unit that is trying to shoot at some Norwegians located 1000 meters away at the same height as you are. If we neglect the friction of the air, the cannon ball follows a parabolic trajectory; as you certainly recall from prior courses, a cannon ball travels a distance L = V²sin(2a) 9 where V is the initial velocity, a is the angle of the cannon barrel, and g = 9.8 m/s² is the gravitational acceleration. You realize that you only have two options for how to shoot. Option (I) is to use 1 bag of gun powder, which produces an initial velocity of exactly V₁ = 105 m/s, and to try to set the angle to aI,nominal = 39 degree. Option (II) is to use 2 bags of gun powder, which produces exactly VII = 137 m/s, and to try to set the angle to aII,nominal = 15 degree. If you set the angles exactly to the nominal ones, compute the traveling distances. L₁ = LII = The problem is that the cannon…

Two masses are attached by a wire as shown. M2 drops 6 m before hitting the ground. M2 = 60 kg %3! u = 0.1 M1 = 20 kg H = 6 m 0 = 60° a) What is the velocity of the mass when it hits the ground? (Use work-energy)

A 10kg object is dropped from rest from the top of a 100m cliff. Exactly one second later, an 8g bullet is fired upward from the ground with a muzzle velocity of 300(m)/(s). Assume an inelastic collision occurs between the two objects. How long after the 10kg object is dropped will the combined object hit the ground? Compare that time to the time for the 10kg object to hit the ground without the collision.

Given the following: Mass of the particle m=18.8 kg, ω=9.6 rad/s, α=8.3 rad/s^2, vrel=7.8 m/s, μs=0.6, μk=0.1, L=1.9 m, and h=2.9 m, What is the i^ component of the Normal force on particle P? What is the component of the friction force in the j^ direction on the particle?   What is the value (including sign) of (aP/O)rel?   What is the i^ component of the Acceleration of particle P?   What is the j^ component of acceleration of particle P?

Learning Goal: A particle of mass M moves along a straight line with initial speed v₁. A force of magnitude F pushes the particle a distance s along the direction of its motion. 99°F Sunny

can you pls also draw a picture/representation of the scenario described? Thanks so much!