Solution Found!
Answer: A sled with mass 8.00 kg moves in a straight line
Chapter 6, Problem 23E(choose chapter or problem)
Problem 23E
A sled with mass 8.00 kg moves in a straight line on a frictionless horizontal surface. At one point in its path, its speed is 4.00 m/s; after it has traveled 2.50 m beyond this point, its speed is 6.00 m/s. Use the work-energy theorem to find the force acting on the sled, assuming that this force is constant anti that it acts in the direction of the sled’s motion.
Questions & Answers
QUESTION:
Problem 23E
A sled with mass 8.00 kg moves in a straight line on a frictionless horizontal surface. At one point in its path, its speed is 4.00 m/s; after it has traveled 2.50 m beyond this point, its speed is 6.00 m/s. Use the work-energy theorem to find the force acting on the sled, assuming that this force is constant anti that it acts in the direction of the sled’s motion.
ANSWER:
Solution 23E
Step 1:
As per the question, the mass of the sled, m = 8 kg
Initial velocity of the sled, u = 4 m/s
Final velocity of the sled, v = 6 m/s
The distance travelled, S = 2.50 m
According to the work- energy theorem, the change in kinetic energy = work done on the system
That is, W = ΔKE
ΔKE = ½ mv2 - ½ mu2
ΔKE = (½ × 8 kg × 62 m2/s2 ) - (½ × 8 kg × 42 m2/s2 )
ΔKE = ½ × 8 kg × (36 m2/s2 - 16 m2/s2)
ΔKE = ½ × 8 kg × 20 m2/s2 = 80 J