Question:
A ball whose kinetic energy is $E$, is projected at an angle of $45^{\circ}$ to the horizontal. The kinetic energy of the ball at the highest point of its flight will be :
A ball whose kinetic energy is $E$, is projected at an angle of $45^{\circ}$ to the horizontal. The kinetic energy of the ball at the highest point of its flight will be :
Updated On: Jul 5, 2022
- $E$
- $E / \sqrt{2}$
- $E / 2$
- zero
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
At the highest point of its flight, vertical component of velocity is zero and only horizontal component is left which is $u_{x}=u \cos \theta$
Given $\theta=45^{\circ}$
$\therefore u_{x}=u \cos 45^{\circ}=\frac{u}{\sqrt{2}}$
Hence, at the highest point kinetic energy
$E^{\prime}=\frac{1}{2} m u_{x}^{2} =\frac{1}{2} m\left(\frac{u}{\sqrt{2}}\right)^{2}$
$=\frac{1}{2} m\left(\frac{u^{2}}{2}\right)$
$=\frac{E}{2} \left(\because \frac{1}{2} m u^{2}=E\right)$
Was this answer helpful?
0
0
Top Questions on Kinetic Energy
- Four particles A, B, C, D of mass $\frac{m}{2}$, $m$, $2m$, $4m$ have the same momentum, respectively. The particle with maximum kinetic energy is:
- JEE Main - 2024
- Physics
- Kinetic Energy
- When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be
- JEE Main - 2024
- Physics
- Kinetic Energy
- A stationary particle breaks into two parts of masses \(m_A\) and \(m_B\), which move with velocities \(v_A\) and \(v_B\), respectively. The ratio of their kinetic energies (\(K_B : K_A\)) is:
- JEE Main - 2024
- Physics
- Kinetic Energy
- The total kinetic energy of 1 mole of oxygen at 27°C is :
[Use universal gas constant (R)= 8.31 J/mole K]- JEE Main - 2024
- Physics
- Kinetic Energy
- Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of the magnitude of their linear momentum is:
- JEE Main - 2024
- Physics
- Kinetic Energy
View More Questions
Questions Asked in AIEEE exam
- This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. It is not possible to make a sphere of capacity $1$ farad using a conducting material. It is possible for earth as its radius is $6.4 \times 10^6\,m$.
- AIEEE - 2012
- electrostatic potential and capacitance
- A steel wire can sustain $100\, kg$ weight without breaking. If the wire is cut into two equal parts, each part can sustain a weight of
- AIEEE - 2012
- mechanical properties of solids
- The limiting line in Balmer series will have a frequency of (Rydberg constant, $R_{\infty}=3.29\times10^{15}$ cycles/s)
- AIEEE - 2012
- Electromagnetic Spectrum
- Which of the plots shown in the figure represents speed (v) of the electron in a hydrogen atom as a function of the principal quantum number (n)?
- The ratio of number of oxygen atoms (O) in 16.0 g ozone $(O_3), \,28.0\, g$ carbon monoxide $(CO)$ and $16.0$ oxygen $(O_2)$ is (Atomic mass: $C = 12,0 = 16$ and Avogadro?? constant $N_A = 6.0 x 10^{23}\, mol^{-1}$)
- AIEEE - 2012
- Mole concept and Molar Masses
View More Questions
Concepts Used:
Kinetic energy
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
