ECO 5. AUTOMOTIVE. The power an engine produces is called horsepower. In mathematical terms, one horsepower is the power needed to move 550 pounds one foot in one second, or the power needed to move 33,000 pounds one foot in one minute. Power, in physics, is defined simply as the rate of doing work. The formula below gives the horsepower at 5,252 radians per second. https://philkotse.com/toyota-corona-ior-sale-in-baguio/1991-for-sale-in-aid7017151 625T 1313 where H is the horsepower and T is the torque a. Find the inverse of the model. b. If a taxi produces a horsepower of 200, what is the torque it generates? Solve here:

The Answer is one of the options below please solve and circle the correct option .

3. An athlete pushes against an exercise machine with a force that varies with time according to F(1) = 1200 N (1 – kf), where k = 8 s? Also, the velocity of the athlete's legs acting in the same direction as the force acts according to v(t) = 7 m/s² t a. Create a computer generated plot of the power as a function of time. b. Find the maximum power the athlete generates and the time at which maximum power is generated.

Please help

9. A spring has a stiffness of 100N/m. A mass of 3 kg was attached to the spring. The mass was pushed 10cm upward from the equilibrium position and was released from rest. After 5 seconds from release, determine the acceleration of the mass in m/s^2? 10.What Law governs the statement, "For every object applied with a load, the displacement or size of deformation is directly proportional to the magnitude of the applied load"?

Can you help me with part B.

question is below

An electric hot water heater consumes 3.1 kilowatts of electricity and converts it to heat. How long will it take the water heater to heat a 67 gallon tank of water from 10 degrees Celsius to 50 degrees Celsius? (1 kilogram of water is 0.37 gallons, 1 Calorie = 4200 J).  It may be helpful to refer back to the weekly handout for guidance on this problem. Your final answer should be in minutes (rounded to the nearest 10 minutes).

1. Need help please, only use 3 sig figs for answer

7. A ball attached to a string of length 0.25 meters is whirled around in a circular path. It experiences a centripetal acceleration of 40 m/s². a. What is the tangential velocity of the ball? b. How long does the ball take to make one complete revolution?