Part 2: Finding Speed and Height Using Energy Directions: Use the KE and GPE equations to solve for speed or height depending on the situation. 1. A 1,000-kg car has 50,000 joules of kinetic energy. What is its speed? 2. A 200-kg boulder has 39,200 joules of gravitational potential energy. What height is it at?

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Chemistry

Sonny Harrison

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Part 2: Finding Speed and Height Using Energy Directions: Use the KE and GPE equations to solve for speed or height depending on the situation. 1. A 1,000-kg car has 50,000 joules of kinetic energy. What is its speed? 2. A 200-kg boulder has 39,200 joules of gravitational potential energy. What height is it at?

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Gaige Serrano · Answer 1

KE = [1/2]m (v^2) = > v = √[2KE/m] = √[2*50,000joules/1000kg] = 10m/s2. A 200-kg boulder has 39,200 joules of gravitational potential energy. What height is it at? GPE = mgh = > h = GPE / (mg) = 39,200 joules / (200kg * 9.8m/s^2) = 20m

Patricia Mayo · Answer 2

1. A 1,000-kg car has 50,000 joules of kinetic energy. What is its speed?

KE = [1/2]m (v^2) = > v = √[2KE/m] = √[2*50,000joules/1000kg] = 10m/s

2. A 200-kg boulder has 39,200 joules of gravitational potential energy. What height is it at?

GPE = mgh = > h = GPE / (mg) = 39,200 joules / (200kg * 9.8m/s^2) = 20m

3. A 1-kg model airplane has 12.5 joules of kinetic energy and 98 joules of gravitational potential energy. What is its speed? What is its height?

KE = [1/2]m (v^2) = > v = √ [ 2KE/m] = √[2*12.5 j / 1kg] = 5 m/s

GPE = mgh = > h = GPE / (mg) = 98 / (1kg*9.8m/s^2) = 10 m