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A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass m (m
Correct answer is '5'. Can you explain this answer?
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A heavy ball of mass M is suspended from the ceiling of a car by a li...
Given Information:
- Mass of heavy ball (M)
- Mass of string (m)
- Wave-speed increase to 60.5 ms^-1
- Acceleration of car (a)
- Gravitational acceleration (g)
Approach to solve the problem:
1. Write down the relevant equations related to the motion of the ball and the string.
2. Apply the equation for wave-speed to find the value of 'a' in terms of 'g'.
3. Compare the expression with the form 'g/k' and find the value of k.
Solution:
1. The wave-speed in the string can be given by:
v = √(T/m)
where T is the tension in the string and m is the mass of the string.
2. The tension in the string can be related to the acceleration 'a' of the car and the gravitational force:
T = M(g + a)
3. Substituting the expressions for tension and wave-speed into the given condition:
60.5 = √((M(g + a))/(m-1))
4. Squaring both sides and simplifying:
3652.5 = (M(g + a))/(m-1)
5. Solving for 'a':
a = (3652.5(m-1))/(M) - g
6. Comparing with 'g/k':
a = g(3652.5(m-1))/(Mg) - g
a = (3652.5(m-1))/(M) - g
7. Therefore, the value of k is 5.
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A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass m (m-1. When the car has acceleration a, the wave-speed increases to 60.5 ms-1. The value of a, in terms of gravitational acceleration g, is closest to g/k. Find the value of k.Correct answer is '5'. Can you explain this answer?
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A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass m (m-1. When the car has acceleration a, the wave-speed increases to 60.5 ms-1. The value of a, in terms of gravitational acceleration g, is closest to g/k. Find the value of k.Correct answer is '5'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass m (m-1. When the car has acceleration a, the wave-speed increases to 60.5 ms-1. The value of a, in terms of gravitational acceleration g, is closest to g/k. Find the value of k.Correct answer is '5'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass m (m-1. When the car has acceleration a, the wave-speed increases to 60.5 ms-1. The value of a, in terms of gravitational acceleration g, is closest to g/k. Find the value of k.Correct answer is '5'. Can you explain this answer?.
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