A 70 kg person can achieve the maximum speed of 2.5 m/s while running a 100 m dash. Treat the person as a point particle.
a. At this speed, what is the person's kinetic energy?
Express your answer with the appropriate units.
b. To what height above the ground would the person have to climb in a tree to increase his gravitational potential energy by an amount equal to the kinetic energy you calculated in part A?
Express your answer with the appropriate units.
A 70 kg person can achieve the maximum speed of 2.5 m/s while running a 100...
Please answer all questions. 1. One simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.4 m/s in 2.34 s , what will be his total time? 2. Excellent human jumpers can leap straight up to a height of 120 cm off the ground. To reach this height, with what...
Fred (mass 62 kg ) is running with the football at a speed of 5.8 m/s when he is met head-on by Brutus (mass 120 kg ), who is moving at 4.5 m/s. Brutus grabs Fred in a tight grip, and they fall to the ground. Part A Which way do they slide? in the direction Brutus was running in the direction Fred was running Submit Request Answer Part B How far do they slide? The coefficient of kinetic friction...
5. A 25 kg falling object strikes the ground with a speed of 12.5 m/s. If the kinetic energy of the object when it hits the ground is equal to the gravitational potential energy at some height above the ground, what is the height?
Suppose a person can run 10 m/s. If all of that person's Kinetic energy turned into gravitational potential energy, how high would the person go? You can use any number for the person's mass
Assume that the maximum horizontal distance you can throw a baseball (m = 0.145 kg) at an angle of α0 = 45∘ above the horizontal is 25 m. Part A) What is the kinetic energy of the baseball just after it leaves your hand? Ignore air resistance and the small distance the ball is above the ground when it leaves your hand. Take the zero of potential energy to be at the ground. Part B) At the ball's maximum height,...
Leg Spring (Running) Running without springs would be exhausting. Consider a 70 kg person running at 4 m/sec. During each step their COM sinks 4 cm (below resting) during stance and rises 2 cm (above resting) during the aerial phase. Determine the positive work they must do against gravity with each step. Then, calculate the power they must put out with each step. If their forward speed fluctuates by 10% during each stance phase (i.e., 3.6 m/s at mid-stance), determine...
Determine the total energy, the rest energy, and the kinetic energy of a person with 75-kg mass moving at speed 0.95 c. A) Find the rest energy. Express your answer with the appropriate units. B) Find the kinetic energy. Express your answer with the appropriate units. C)Find the total energy. Express your answer with the appropriate units.
A person of mass 70-kg stands at the center of a rotating merry - go- round platform of radius 3.1 meter and the moment of inertia 900kg*m^2. The platform rotates without friction with angular velocity 0.85 rad/s. The person walk radially to the edge of the platform. Part A Calculate the angular velocity when the person reaches the edge. Express your answer using three significant figures and include the appropriate units. Part B Calculate the rotational kinetic energy of the...
A 76 kg bike racer climbs a 1500 m-long section of road that has a slope of 4.3 degree. By how much does his gravitational potential energy change during this climb? Express your answer to two significant figures and include the appropriate units.
A rocket with mass 4.00 times 10^3 kg is in a circular orbit of radius 7.10 times 10^8 m arcund the earth, The rocket's engines fire for a period of time to increase that radius to 8 80 times 10^6 m, with the orbit again circular, What is the change in the rocket's kinetic energy? Does the kinetic energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the kinetic energy increases and negative value...