Physics Problem Solutions: Forces, Energy, Springs
Explore solutions to various physics problems involving forces, energy, and springs. From calculating forward force on a cart to determining the speed of a roller coaster car, these examples cover a range of scenarios. Understand the principles of kinetic energy, compression of springs, and velocity changes in different situations.
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Presentation Transcript
A 345 kg cart is going 8.50 m/s at the bottom of a 5.30 m tall hill. What forward force must be exerted over 3.40 m at the bottom of the hill to give it a velocity of 4.80 m/s when it is at the top of the hill? 2780 N
A 345 kg cart is going 8.50 m/s at the bottom of a 5.30 m tall hill. What forward force must be exerted over 3.40 m at the bottom of the hill to give it a velocity of 4.80 m/s when it is at the top of the hill? so the Fs is a speeds you up Fs + mv2 = mgh + mv2 F(3.4 m) + (345 kg)(8.5 m/s)2 = (345 kg)(9.81 N/kg)(5.3 m) + (345 kg)(4.8 m/s)2 F = 2779.076 N 2780 N
d. A 415 kg roller coaster car initially at rest is launched from the top of a 4.31 m tall hill by a 1890 N/m spring compressed a distance of 5.75 m. What is the speed of the car when it is at the top of a 7.18 m tall hill? (Neglect friction) 9.71 m/s
c. A 1725 kg car going 13.7 m/s on a level road strikes a 1540 N/m spring that slows it down. What is the velocity of the car when it has compressed the spring 12.0 m? (Neglect friction) 7.69 m/s
a. A 0.570 kg hammer is going 9.80 m/s. How fast is it going if it is given 29.0 more J of kinetic energy? 14.1 m/s a. A 37.0 N/m spring is compressed 1.40 m. How much energy is released if it is allowed to expand so that it is compressed only 1.20 m? 9.62 J
