Question
Download Solution PDFAn object of mass 150 kg is accelerated uniformly from a velocity of 10 ms-1 to 20 ms-1 in 10 s. Find the magnitude of the force exerted on the object.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 150 N.
Key Points
CONCEPT:
- Force: The interaction which after applying on a body changes or try to change the state of rest or state of motion of the body is called force.
Force (F) = Mass (m) × acceleration (a)
There are three equations of motion:
V = u + at
V2 = u2 + 2 a S
\({\text{S}} = {\text{ut}} + \frac{1}{2}{\text{a}}{{\text{t}}^2}\)
Where, V = final velocity, u = initial velocity, s = distance traveled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.
CALCULATION:
Given that:
mass of the object (m) = 150 kg.
Time taken (t) = 10 sec.
⇒ Initial velocity = 10 m/s.
⇒ Final velocity = 20 m/s.
Use V = u + at
20 = 10 + a × 10
So a = 1 m/s2
Force = m a = 150 × 1 = 150 N
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