The linear momentum is always in the direction of velocity. (State whether the mentioned statement is true or false.)
A. true
B. false
Answer
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Hint: Linear velocity can be defined as the measure of the rate of variation of displacement with respect to the time when the body is moving along a straight path. This will help you in answering this question.
Complete step by step solution:
Velocity will be the rate of variation in the position of an object in a certain range of time. If the body is moving along a straight path, the velocity which is associated with it is termed the linear velocity. This can be found by taking the ratio of distance covered to the time. This can be denoted using $V$. It can be defined as a vector quantity. Linear velocity can be otherwise defined as the measure of the rate of variation of displacement with respect to the time when the body is moving along a straight path. The dimension formula of linear velocity can be expressed as $\left[ {{M}^{0}}L{{T}^{-1}} \right]$. The linear velocity is dependable on the distance traveled by a body with respect to the time taken. The formula of the linear velocity can be given as,
$V=\dfrac{x}{t}$
The linear velocity can be calculated in the SI unit system as a meter per second. Linear momentum will always be in the direction of velocity. Therefore the given statement is true. The answer is mentioned as option A.
Note: Linear velocity and angular velocity which are in relation to the speed of a body based on the chosen perspective. The linear velocity can be applied to an object that is moving and the angular velocity can be applied to those that rotate like a wheel, the revolution of the earth, or a spinning top.
Complete step by step solution:
Velocity will be the rate of variation in the position of an object in a certain range of time. If the body is moving along a straight path, the velocity which is associated with it is termed the linear velocity. This can be found by taking the ratio of distance covered to the time. This can be denoted using $V$. It can be defined as a vector quantity. Linear velocity can be otherwise defined as the measure of the rate of variation of displacement with respect to the time when the body is moving along a straight path. The dimension formula of linear velocity can be expressed as $\left[ {{M}^{0}}L{{T}^{-1}} \right]$. The linear velocity is dependable on the distance traveled by a body with respect to the time taken. The formula of the linear velocity can be given as,
$V=\dfrac{x}{t}$
The linear velocity can be calculated in the SI unit system as a meter per second. Linear momentum will always be in the direction of velocity. Therefore the given statement is true. The answer is mentioned as option A.
Note: Linear velocity and angular velocity which are in relation to the speed of a body based on the chosen perspective. The linear velocity can be applied to an object that is moving and the angular velocity can be applied to those that rotate like a wheel, the revolution of the earth, or a spinning top.
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