4) Problem # 4: A physicist is sitting inside an airplane as it speeds up the runway before liftoff as shown. She holds her necklace with a finger and observes it hanging not straight down, but at an angle 0 of 25.0 degrees with respect to the vertical, as shown in the picture inside the box below. Her necklace has a string of negligible mass holding a heavy pearl of mass m= 0.100 kg. a) What is the magnitude of her airplane's acceleration a?
4) Problem # 4: A physicist is sitting inside an airplane as it speeds up the runway before liftoff as shown. She holds her necklace with a finger and observes it hanging not straight down, but at an angle 0 of 25.0 degrees with respect to the vertical, as shown in the picture inside the box below. Her necklace has a string of negligible mass holding a heavy pearl of mass m= 0.100 kg. a) What is the magnitude of her airplane's acceleration a?
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![**Problem #4**
A physicist is sitting inside an airplane as it speeds up the runway before liftoff as shown. She holds her necklace with a finger and observes it hanging not straight down, but at an angle θ of 25.0 degrees with respect to the vertical, as shown in the picture inside the box below.
Her necklace has a string of negligible mass holding a heavy pearl of mass m = 0.100 kg.
a) What is the magnitude of her airplane’s acceleration \( a \)?
[Diagram Explanation]
- The diagram shows an airplane accelerating to the right along a runway.
- Inside the airplane, a necklace is depicted with a string hanging at an angle θ = 25.0 degrees from the vertical.
- The necklace holds a pearl of mass m = 0.100 kg.
- The acceleration of the airplane is indicated as 'a' pointing to the right.
- An inset shows a force diagram with the angle θ between the vertical and the string.
b) What is the magnitude of the tension \( T \) on the string holding the pearl?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca2f9b55-192d-4d11-af1a-09dd4cdb3489%2F3f563dca-e2dc-446d-bb35-b9ec9253d2ee%2F7g26ui_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem #4**
A physicist is sitting inside an airplane as it speeds up the runway before liftoff as shown. She holds her necklace with a finger and observes it hanging not straight down, but at an angle θ of 25.0 degrees with respect to the vertical, as shown in the picture inside the box below.
Her necklace has a string of negligible mass holding a heavy pearl of mass m = 0.100 kg.
a) What is the magnitude of her airplane’s acceleration \( a \)?
[Diagram Explanation]
- The diagram shows an airplane accelerating to the right along a runway.
- Inside the airplane, a necklace is depicted with a string hanging at an angle θ = 25.0 degrees from the vertical.
- The necklace holds a pearl of mass m = 0.100 kg.
- The acceleration of the airplane is indicated as 'a' pointing to the right.
- An inset shows a force diagram with the angle θ between the vertical and the string.
b) What is the magnitude of the tension \( T \) on the string holding the pearl?
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