A 2-kg car accelerates uniformly from rest to a speed of 10 m/s in the first 5s (frictionless horizontal road). Find the work done on the car in this time,
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- A mass m is acted on by a force F,(x) = Ax' from x = 0 to x = L. (a) If m starts from rest, what is its speed at x = L? (b) Beyond x = L, F, = 0, but the mass encounters a surface with coefficient of kinetic friction 4. How far does m go before coming to rest? [Find the answer using the work-KE theorem.]A force of: F = (23i+16j-51K)N is applied to a particle of mass 15-kg. The particle has a speed of 10 m/s when the force is applied and is at coordinates: (6,-10,8)m. Under the application of this force. the particle moves to a new position: (25,-21,-10)m.Determine: a) The work done by the force on the particle over this interval b) The speed of the particle at the end of this intervalA time-varying net force acting on a 5.9 kg particle causes the object to have a displace- ment given by x = a + b t + d t2 + e t3 , where a = 2.1 m, b = 2.4 m/s, d = −3.1 m/s2, and e = 1.6 m/s3, with x in meters and t in seconds. Find the work done on the particle in the first 1.9 s of motion. Answer in units of J.
- Consider a 900-kg car being pulled by a 1200-N force applied at anangle of 30 degrees with the horizontal. The car traveled a total distance of 5.0meters forward. The coefficient of kinetic friction between the road and the tires is0.25. Determine the work done (in Joules) by each of the external forces acting onthe car. Please show full solution.A person of weight 500 N skis 500 m down a frictionless slope covered by snow that makes an angle 30◦ to the horizontal. The person is at rest initially. There are two forces acting on the person – the weight and the normal reaction force. (a) How much work is done by the person’s weight and the normal reaction force. Find the velocity of the person at the 500 m mark down the slope using the Work-Energy Theorem and the velocity of the person at the 500 m mark using the conservation of mechanical energy. (b) If there is a friction of 50 N, find the velocity of the person at the 500 m mark. What is the work done by the person’s weight? What is the work done by friction?A 1000-kg automobile accelerates up a hill, increasing its speed from 5 mi/h to 50 mi/h, along a straight 100-m stretch of road. If the hill makes an angle of 5° with respect to the horizontal, find the total work done by the automobile.
- A can of beans that has mass M is launched by a springpowered device from level ground. The can is launched at an angle of a0 above the horizontal and is in the air for time T before it returns to the ground. Air resistance can be neglected. (a) How much work was done on the can by the launching device? (b) How much work is done on the can if it is launched at the same angle a0 but stays in the air twice as long? How does your result compare to the answer to part (a)?A 2-kg car accelerates uniformly from rest to a speed of 10 m/s in the first 5s (frictionless horizontal road). Find (a) the work done on the car in this time, (b) the average power delivered bythe engine in the first 5s, and (c) the instantaneous power delivered by the engine at t = 3s.