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A body of mass 100g is kept at rest. a constant force of 10N is applied on it. Find the time taken by the body to move through a distance of 20m?
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A body of mass 100g is kept at rest. a constant force of 10N is applie...
Calculation of time taken by a body to move through a distance of 20m
The problem involves the calculation of time taken by a body of mass 100g when a constant force of 10N is applied on it to move through a distance of 20m. The solution to the problem involves the application of the basic equations of motion and the principles of Newton's laws of motion.
Step 1: Calculation of acceleration of the body
The force applied on the body is 10N. We know that force is defined as the product of mass and acceleration. Hence, we can write:
10N = (0.1kg) x a
Solving for acceleration:
a = 10N/0.1kg
a = 100m/s²
Step 2: Calculation of time taken by the body to move through a distance of 20m
Using the basic equation of motion:
s = ut + 0.5at²
where s = distance travelled, u = initial velocity, t = time, and a = acceleration.
Since the body is initially at rest, u = 0. Hence, we can write:
s = 0 + 0.5 x 100 x t²
Substituting the values of s and a:
20m = 0.5 x 100 x t²
Solving for t:
t = √(20/50)
t = 0.632s
Step 3: Answer
Therefore, the time taken by the body to move through a distance of 20m is 0.632s.
Community Answer
A body of mass 100g is kept at rest. a constant force of 10N is applie...
√(2/5)is the time required to travel 20m
m=100g=0.1kg=1/10kg
force = 10N
m*a=N
1/10*a=10
=>a=10*10
=>a=100 m/s^2
S= ut+1/2at^2
20=0*t+1/2*100*t^2
20=1/2 * 100*t^2
20=50*t^2
t^2=20/50
t=√(2/5)
m=100g=0.1kg=1/10kg
force = 10N
m*a=N
1/10*a=10
=>a=10*10
=>a=100 m/s^2
S= ut+1/2at^2
20=0*t+1/2*100*t^2
20=1/2 * 100*t^2
20=50*t^2
t^2=20/50
t=√(2/5)
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A body of mass 100g is kept at rest. a constant force of 10N is applied on it. Find the time taken by the body to move through a distance of 20m?
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A body of mass 100g is kept at rest. a constant force of 10N is applied on it. Find the time taken by the body to move through a distance of 20m? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body of mass 100g is kept at rest. a constant force of 10N is applied on it. Find the time taken by the body to move through a distance of 20m? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 100g is kept at rest. a constant force of 10N is applied on it. Find the time taken by the body to move through a distance of 20m?.
A body of mass 100g is kept at rest. a constant force of 10N is applied on it. Find the time taken by the body to move through a distance of 20m? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body of mass 100g is kept at rest. a constant force of 10N is applied on it. Find the time taken by the body to move through a distance of 20m? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 100g is kept at rest. a constant force of 10N is applied on it. Find the time taken by the body to move through a distance of 20m?.
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