A 5.27-kg object passes through the origin at time t = 0 such that its x component of velocity is 5.50 m/s and its y component of velocity is -2.73 m/s. (a) What is the kinetic energy of the object at this time? (b) At a later time t = 2.00 s, the particle is located at x = 8.50 m and y = 5.00 m. What constant force acted on the object during this time interval? magnitude direction N measured from the +x axis (c) What is the speed of the particle at t = 2.00 s? m/s

A ball of mass m is thrown from ground level with initial horizontal velocity component Vox and initial vertical velocity component Voy and returns to ground level. Neglecting friction, write expressions for (a) The largest kinetic energy of the ball during its flight; (b) The smallest kinetic energy of the ball during its flight.

(a) A rocket-powered car weighs 1200 kg. Its rocket engine loses thrust as time t increases, so that the force generated is given by F = 500 VE N. Given that the car starts from rest, find an expression for the car's velocity as a function of time. (b) How long will the car take to travel 1 km? (c) How fast will the car be travelling as it passes the 1 km mark? (d) What is the power being transfered by the rocket as it passes the 1 km mark? (e) Evaluate the work done by the rocket engine during the first kilometre.

A block of mass 6 kg is given a push so that it moves on a flat surface. After the push, it moves at a speed of 5 m/s. For each question helow, give the answer in SI units -- numerical value only. (a) What is initial kinetic energy? Number J (b) The coefficient of kinetic friction between the block and the surface is .11. What is the magnitude of the net force on the block? Number N (c) What is the magnitude of the acceleration of the block after the push? Number m/s² (d) How far will the block travel before it comes to a stop? Number m (e) What is the net work done on the block in the time period between the initial push and when it came to a stop? Number J (f) What is the change in the kinetic energy of the block from the instant after it was pushed until it came to a stop? Number Remaining Time: J

How much kinetic energy does a 1.7 kg discus have if its velocity is:  a) 27 m/s  b) 13 m/s  Answer parts a-b.

A sledgehammer of mass m = 1.1 kg falls freely vertically downward from a height of h = 2.8 m at an initial speed of v = 11m/s before striking a partially buried piling. After the blow the piling has moved d = 0.055 m deeper. (a) How much kinetic energy, in joules, does the sledgehammer have just before striking the piling? (b) How much force, in newtons, was applied to the piling? Assume all the energy goes towards driving the piling into the ground, and the force of the sledgehammer is constant over the distance d that the piling is driven into the ground. Note that you can ignore the change in potential energy of the piling itself. Further, because d is so small compared to h, you can also ignore the change in potential energy of the hammer as well as it moves distance d.

A mass of 3.77 kg is launched straight upward. At some instant later it has lost 62.8 J of kinetic energy. What is the height of the object at that time, relative to its initial elevation? Assume air resistance can be ignored.

A large cruise ship of mass 6.70 ✕ 107 kg has a speed of 10.4 m/s at some instant. (a) What is the ship's kinetic energy at this time? J(b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) J(c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 2.70 km?

A large cruise ship of mass 7.00 ✕ 107 kg has a speed of 12.2 m/s at some instant. (a) What is the ship's kinetic energy at this time? J(b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) J(c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.00 km? N

At t=0, force F = (-4.407 +4.00 +3.50k) N begins to act on a 3.30 kg particle with an initial speed of 4.40 m/s. What is the particle's speed when its displacement from the initial point is d = (2.801 + 1.40) +6.00k) m?