An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero?
- Momentum
- Potential Energy
- Acceleration
- Force
The Correct Option is A
Solution and Explanation
At topmost position, v = 0 ⇒ momentum = 0
The momentum of an object is given by the product of its mass and velocity. At the maximum height, the velocity becomes zero (momentarily), and if the mass remains constant, the momentum will indeed become zero at that point.
Therefore, in the context of the object thrown vertically upwards, the correct option is (A): Momentum.
Top Questions on momentum
- An object of mass \( m \) is projected from the origin in a vertical \( xy \)-plane at an angle \( 45^\circ \) with the x-axis with an initial velocity \( v_0 \). The magnitude and direction of the angular momentum of the object with respect to the origin, when it reaches the maximum height, will be:
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Knowing the initial position \( x_0 \) and initial momentum \( p_0 \) is enough to determine the position and momentum at any time \( t \) for a simple harmonic motion with a given angular frequency \( \omega \).
Reason (R): The amplitude and phase can be expressed in terms of \( x_0 \) and \( p_0 \).
In the light of the above statements, choose the correct answer from the options given below:- A particle moves under the influence of a force in the XY-plane such that the components of its linear momentum $\vec{p}$ at any time $t$ are given by $p_x = p \sin t$ and $p_y = p \cos t$. The angle between $\vec{F}$ and $\vec{p}$ at that time is
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Concepts Used:
Momentum
It can be defined as "mass in motion." All objects have mass; so if an object is moving, then it is called as momentum.
the momentum of an object is the product of mass of the object and the velocity of the object.
Momentum = mass • velocity
The above equation can be rewritten as
p = m • v
where m is the mass and v is the velocity.
Momentum is a vector quantity and the direction of the of the vector is the same as the direction that an object.