A single force acts on a 3.1 kg particle-like object in such a way that the position of the object as a function of time is given by x = 3.0t - 3.7t2 + 3.8t3, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to t = 9.1 s.

A 4.5-kg block slides down a frictionless incline making an angle of 55.0° with the horizontal. (a) What is the total work done on the block when the block slides 1.4 m (measured along the incline)? (b) What is the speed of the block after it has slid 1.2 m if it starts from rest? m/s (c) What is its speed after 1.2 m if it starts with an initial speed of 1.6 m/s? m/s You can use the definition of work as the scalar product of a constant force and displacement to find the work done by each force acting on the block. Then use the work- kinetic energy theorem the find the speed of the block at any given location and for any initial kinetic energy it may have.

A particle is subject to a force F, that varies with position as shown in the following figure. F, (N) 3 1 х (m) 4 6 10 12 14 16 (a) Find the work done by the force on the particle as it moves from x = 0 to x = :3.00 m. (b) Find the work done by the force on the particle as it moves from x = 5.00 m to x = 9.00 m. J (c) Find the work done by the force on the particle as it moves from x = 11.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x = 0 to X = 15.0 m?

An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 5.3x 104 kg, and the force causes its speed to change from 6900 to 5500m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2.3x 10 m determine the magnitude of the force. (a) Work- (b) F- i

A sled with total mass m = 46.3 kg is pulled a distance d = 17.1 m across a horizontal surface for which the corficcient of kinetic friction with the sled is = 0.196. The pulling force is constant and makes an angle = 31.2° above the horizontal and the sled moves at a constant velocity. Find an expression for the work done by the pulling force in terms of m, acceleration due to gravity g, 0, Hk, and d, and use it find the work done in Joules by the pulling force. Find an expression for the work done on the sled by friction in terms of m, acceleration due to gravity g, 8, HK, and d, and use it to find the work done in Joules by the friction force. What is the net work in Joules done on the sled?

A spring with a spring constant of 18.0 N/cm has a cage attached to its free end. (a) How much work does the spring force do on the cage when the spring is stretched from its relaxed length by 7.60 mm? (b) How much additional work is done by the spring force when the spring is stretched by an additional 7.60 mm?

The spring-flex exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 38 cm. If a 170 Newton force is required to keep the spring stretched to a length of 52 cm, how much work is required to stretch it from 51 cm to 70 cm? Your answer must include the correct units. Work =

An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 3.5× 104 kg, and the force causes its speed to change from 7100 to 5400m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 1.8× 106 m determine the magnitude of the force. (a) Work = Choose your answer for sign in part (a) here                                                             Type your answer for part (a) here Choose your answer for units in part (a) here                                                             (b) F = Type your answer for part (b) here Choose your answer for units in part (b) here

An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 4.8× 104 kg, and the force causes its speed to change from 7700 to 5600m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 1.4× 106 m determine the magnitude of the force.

A particle is subject to a force F, that varies with position as shown in the following figure. F, (N) 3 1 x (m) 2 4 6 8 10 12 14 16' (a) Find the work done by the force on the particle as it moves from x = 0 to x = 2.00 m. (b) Find the work done by the force on the particle as it moves from x = 5.00 m to x = 7.00 m. (c) Find the work done by the force on the particle as it moves from x = 10.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x = 0 to x = 15.0 m?