The acceleration of a 2.00 kg object is shown below. If as=6.0 m/s2, and the object starts from rest, then what is the velocity of the object at x = 9.0 m? Hint: Use F=ma to turn an a vs x graph into a F vs. x graph. Determine work using the area under the curve, then use the work energy theorem to get v.

how much work is done by T1? express answer in joules

A block of stone weighs 500 newtons. It is 20m pushed up a slope. a. Neglecting friction, how much force is needed to push it up the incline at constant velocity? Show solutions b. How much work is done to push it up the incline?

Several physical situations are described below. For each situation, simplify the work-energy equation by canceling any zero terms and any energy terms (whether KE or PE) which are unchanging. Explain each term which gets canceled. A track is constructed by stretching a grooved and pliable material between two lab poles. A metal ball starts from rest at point A and rolls to point B. Friction and air resistance have an effect upon the ball's motion. Simplification of Work-Energy Equation KEi + PEi + Wnc = KEf + PEf

A 3 kg ball falls from height of 14 m. What willbe potential energy of the ball after 1 second?  Use g = 9.8 m/s2

A 2.1 x 10³-kg car starts from rest at the top of a 5.1-m-long driveway that is inclined at 18° with the horizontal. If an average friction force of 4.0 x 103 N impedes the motion, find the speed of the car at the bottom of the driveway. m/s Submit Answer

A 7.5 kg box initially at rest on a horizontal surface is pushed by a constant force of 34.2 N that is applied at angle 35.6° below the horizontal. As the box accelerates along the surface, it encounters a frictional force of 16.6 N. Using work-energy theorem, what is the speed of the box after it has traveled 4.75 m? vf V₁ = 0 d- 5.93 m/s 4.72 m/s 7.50 m/s 3.77 m/s m