KCET · Physics · Laws of Motion
A horizontal force of \(5\) N is applied on a stationary body of mass \(5\) kg, which is initially at rest on a frictionless table. The change in kinetic energy of the body in \(10\) s is
- A \(25\) J
- B Zero
- C \(125\) J
- D \(250\) J
Answer & Solution
Correct Answer
(D) \(250\) J
Step-by-step Solution
Detailed explanation
Given, mass of the body \(m = 5\) kg
Horizontal force \(F = 5\) N
Acceleration of the body \(a = \dfrac{F}{m} = \dfrac{5}{5} = 1\) m/s\(^2\)
Initial velocity \(u = 0\)
Time \(t = 10\) s
Using the equation of motion \(v = u + at\),
\(v = 0 + 1 \times 10 = 10\) m/s
Initial kinetic energy \(K_i = 0\)
Final kinetic energy \(K_f = \dfrac{1}{2}mv^2 = \dfrac{1}{2} \times 5 \times (10)^2 = 250\) J
Change in kinetic energy \(\Delta K = K_f - K_i = 250 - 0 = 250\) J
Answer: \(250\) J
Horizontal force \(F = 5\) N
Acceleration of the body \(a = \dfrac{F}{m} = \dfrac{5}{5} = 1\) m/s\(^2\)
Initial velocity \(u = 0\)
Time \(t = 10\) s
Using the equation of motion \(v = u + at\),
\(v = 0 + 1 \times 10 = 10\) m/s
Initial kinetic energy \(K_i = 0\)
Final kinetic energy \(K_f = \dfrac{1}{2}mv^2 = \dfrac{1}{2} \times 5 \times (10)^2 = 250\) J
Change in kinetic energy \(\Delta K = K_f - K_i = 250 - 0 = 250\) J
Answer: \(250\) J
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The following truth table with \(\mathrm{A}\) and \(\mathrm{B}\) as inputs is for ........ gate.
KCET 2012 Easy - Two bodies of masses \(m_{1}\) and \(m_{2}\) are acted upon by a constant force \(\mathrm{F}\) for a time t. They start from rest and acquire kinetic energies, \(\mathrm{E}_{1}\) and \(\mathrm{E}_{2}\) respectively. Then \(\frac{E_{1}}{E_{2}}\) isKCET 2012 Medium
- Two solid pieces, one of steel and the other of aluminium when immersed completely in water have equal weights. When the solid pieces are weighed in airKCET 2009 Medium
- What is the electric potential at a distance of \( 9 \mathrm{~cm} \) from \( 3 \mathrm{nC} ? \)KCET 2014 Easy
- A Carnot engine working between \( 300 \mathrm{~K} \) and \( 400 \mathrm{~K} \) has \( 800 \mathrm{~J} \) of useful work. The amount of
heat energy supplied to the engine from the source isKCET 2016 Easy - A car is moving in a circular horizontal track of radius \(10 \mathrm{~m}\) with a constant speed of \(10 \mathrm{~ms}^{-1}\). A bob is suspended from the roof of the car by a light wire of length \(1.0 \mathrm{~m}\). The angle made by the wire with the vertical is (in rad)KCET 2022 Medium
More PYQs from KCET
- Acidified sodium fusion extract on addition of ferric chloride solution gives blood red colouration which confirms the presence ofKCET 2007 Medium
- The value of entropy of solar system isKCET 2013 Easy
- If \( \left(\frac{1+i}{1-i}\right)^{\mathrm{m}} \), then the least positive integralvalue of \( \mathrm{m} \) isKCET 2017 Easy
- Match Column-I with Column -II. Select the option with correct combination.
Column-I Column-II 1. Standing state p. Mass of living material at a given time 2. Pioneer species q. Amount of nutrients in the soil at a given time. 3. Detritivores r. Species that invade a bare area 4. Standing crop s. Breakdown detritus into smaller particles KCET 2023 Medium - In the titration of potassium permanganate \(\left(\mathrm{KMnO}_4\right)\) against Ferrous ammonium sulphate (FAS) solution, dilute sulphuric acid but not nitric acid is used to maintain acidic medium, becauseKCET 2025 Medium
- The system of equations \(x + 2y = 3\) and \(2x + 3y = 3\) hasKCET 2026 Easy