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Chapter 4: Problem 102

Yolanda, whose mass is \(64.2 \mathrm{kg},\) is riding in an elevator that has an upward acceleration of \(2.13 \mathrm{m} / \mathrm{s}^{2} .\) What force does she exert on the floor of the elevator?

Short Answer

Expert verified
Answer: The force exerted by Yolanda on the elevator floor is 766.68 N.

Step by step solution

01

Calculate Yolanda's weight

To calculate Yolanda's weight, we will use the formula: Weight = mass 脳 acceleration due to gravity (g) where g = 9.81 m/s虏 (approximate value for Earth's acceleration due to gravity) Weight = 64.2 kg 脳 9.81 m/s虏 Weight 鈮� 629.34 N Yolanda's weight is 629.34 N.
02

Calculate the net force acting on Yolanda

Since the elevator is accelerating upward, the net force acting on Yolanda is the sum of the gravitational force (her weight) and the additional force due to the upward acceleration of the elevator. Net force = mass 脳 total acceleration Total acceleration = g + elevator's acceleration Total acceleration = 9.81 m/s虏 + 2.13 m/s虏 Total acceleration 鈮� 11.94 m/s虏 Now we can find the net force: Net force = 64.2 kg 脳 11.94 m/s虏 Net force 鈮� 766.68 N The net force acting on Yolanda is 766.68 N.
03

Determine the force exerted by Yolanda on the elevator floor

The force exerted by Yolanda on the elevator floor is equal in magnitude and opposite in direction to the net force acting on her. Therefore, she exerts a force of 766.68 N on the elevator floor. So the force exerted by Yolanda on the elevator floor is 766.68 N.

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Most popular questions from this chapter

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