A 5.22-kg object passes through the origin at time t = 0 such that its x component of velocity is 5.40 m/s and its y component of velocity is -3.03 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 ° measured from the +x axis (c) What is the speed of the particle at t = 2.00 s? m/s

A 6.30-kg object is initially moving so that its x-component of velocity is 6.00 m/s and y-component of velocity is -1.60 m/s. (a) What is the kinetic energy of the object at this time? (b) Find the change in kinetic energy of the object it its velocity changes so that its new x-component is 8.50 m/s and its new y-component is 5.00 m/s.

A force of 16 N is applied to a 4.5 kg object (initially at rest) for a time of 5.6 s. What is the speed of the object afterwards? Assume a level, frictionless surface.

A single force F(x) = −3.7x (in newtons) acts on a 1.0 kg body. When x = 3.0 m, the speed of the body is 4.8 m/s. What is its speed (in m/s) at x = 1.7 m? m/s

A Block-Spring System A block of mass 1.0 kg is attached to a horizontal spring that has a force constant of 2,000 N/m as shown figure (a). The spring is compressed 3.0 cm and is then released from rest as in figure (b). (a) A block attached to a spring is pushed inward from an initial position x-O by an external agent. (b) At position x, the block is released from rest and the spring pushes it to the right. (For the following, when entering a mathematical expression, do not substitute numerical values; use variables only.) (a) Calculate the speed of the block as it passes through the equilibrium position x - 0 if the surface is frictionless. SOLUTION Conceptualize This situation has been discussed before, and it is easy to visualize the block being pushed to the right by the spring and moving with some speed at x = 0. Categorize We identify the system as the block and model the block as --Select- system. Analyze In this situation, the block starts with v, - 0 at x, = -3.0 cm, and we…

A large cruise ship of mass 6.20 ✕ 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 2.30 km?            N

Two cars are moving. The first car has twice the mass of the second car, but only half as much kinetic energy. Then, both cars increase their speed by 8.00 m/s. They then have the same kinetic energy. The original speeds of the two cars are, respectively, 22.6 m/s, v2 = 11.3 m/s. (A) V1 = 5.66 m/s, v2 = 11.3 m/s. V1 = 14.1 m/s, v2 = 7.07 m/s. V1 = 11.3 m/s, v2 = 5.66 m/s.