A boy with mass = 50kg is riding a Ferris wheel. The radius of the Ferris wheel is 5m. The Ferris wheel rotates with a frequency of 6/m rpm at a constant speed. (a) Calculate the centripetal force. Fc= (b) Calculate the normal force acting on the boy by the seat when he is at the top and bottom of the wheel. Normal force at the top: N = Normal force at the bottom: N = hu the coat whon ho ic at thn cidor of the whoollaccuminn ho onhu rncovne

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Physics Problem: Forces on a Ferris Wheel

**(b)** Calculate the normal force acting on the boy by the seat when he is at the top and bottom of the wheel.

- **Normal force at the top:** \( N = \) ______________ N
- **Normal force at the bottom:** \( N = \) ______________ N

**(c)** Calculate the normal force and friction acting on the boy by the seat when he is at the sides of the wheel (assuming he only receives these two forces from the seat).

- **Normal force:** \( N = \) ______________ N
- **Friction:** \( f = \) ______________ N

**(d)** If the Ferris wheel moves too fast by accident, the boy feels weightless (normal force is 0N), what is the speed of the Ferris wheel?

- \( v = \) ______________ m/s

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### Mechanics Problem: Boxes on a Frictionless Surface

**QUESTION 21**

Two boxes of fruit on a frictionless horizontal surface are connected by a light string as shown in the figure below. Where \( m_1 = 10 \, \text{kg} \) and \( m_2 = 20 \, \text{kg} \). A force of \( F = 60 \, \text{N} \) is applied to the 20 kg box. Determine the acceleration of each box and the tension in the connecting string.

(Here, the figure would typically depict two boxes connected by a string on a frictionless surface with a force applied to one of the boxes.)

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Transcribed Image Text:Certainly! Here's a detailed transcription of the image suitable for an educational website: --- ### Physics Problem: Forces on a Ferris Wheel **(b)** Calculate the normal force acting on the boy by the seat when he is at the top and bottom of the wheel. - **Normal force at the top:** \( N = \) ______________ N - **Normal force at the bottom:** \( N = \) ______________ N **(c)** Calculate the normal force and friction acting on the boy by the seat when he is at the sides of the wheel (assuming he only receives these two forces from the seat). - **Normal force:** \( N = \) ______________ N - **Friction:** \( f = \) ______________ N **(d)** If the Ferris wheel moves too fast by accident, the boy feels weightless (normal force is 0N), what is the speed of the Ferris wheel? - \( v = \) ______________ m/s --- ### Mechanics Problem: Boxes on a Frictionless Surface **QUESTION 21** Two boxes of fruit on a frictionless horizontal surface are connected by a light string as shown in the figure below. Where \( m_1 = 10 \, \text{kg} \) and \( m_2 = 20 \, \text{kg} \). A force of \( F = 60 \, \text{N} \) is applied to the 20 kg box. Determine the acceleration of each box and the tension in the connecting string. (Here, the figure would typically depict two boxes connected by a string on a frictionless surface with a force applied to one of the boxes.) ---
**Question 20**

A boy with mass = 50 kg is riding a Ferris wheel. The radius of the Ferris wheel is 5 m. The Ferris wheel rotates with a frequency of 6/π rpm at a constant speed.

(a) **Calculate the centripetal force.**  
\[ F_c = \quad \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \, \text{N} \]

(b) **Calculate the normal force acting on the boy by the seat when he is at the top and bottom of the wheel.**  
Normal force at the top:  
\[ N = \quad \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \, \text{N} \]

Normal force at the bottom:  
\[ N = \quad \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \, \text{N} \]

**Diagram Explanation**

The diagram for this question is a labeled illustration of a Ferris wheel. It shows a circular wheel with labeled radius \( r \). Two positions are highlighted where the boy might be located—one at the top and another at the bottom of the Ferris wheel. Arrows indicate the direction of the centripetal force required to keep the boy moving along the circular path of the Ferris wheel.
Transcribed Image Text:**Question 20** A boy with mass = 50 kg is riding a Ferris wheel. The radius of the Ferris wheel is 5 m. The Ferris wheel rotates with a frequency of 6/π rpm at a constant speed. (a) **Calculate the centripetal force.** \[ F_c = \quad \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \, \text{N} \] (b) **Calculate the normal force acting on the boy by the seat when he is at the top and bottom of the wheel.** Normal force at the top: \[ N = \quad \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \, \text{N} \] Normal force at the bottom: \[ N = \quad \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \, \text{N} \] **Diagram Explanation** The diagram for this question is a labeled illustration of a Ferris wheel. It shows a circular wheel with labeled radius \( r \). Two positions are highlighted where the boy might be located—one at the top and another at the bottom of the Ferris wheel. Arrows indicate the direction of the centripetal force required to keep the boy moving along the circular path of the Ferris wheel.
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