At given t taken a body at rest which then moves with an acceleration, after 3sec, its momentum? a.2 b.3 c.1 d.0.5
0.5
Well, it seems like the body needed some time to gather a bit of momentum to make up its mind! Now, let's see. If the body starts at rest and then accelerates for 3 seconds, we need to find its momentum.
Remember, momentum is calculated by multiplying the mass of the body by its velocity. Since the initial velocity is zero, the momentum at that time is also zero, my friend. So, the answer is option d.0.5, which seems pretty elusive in this case!
Keep in mind, this is assuming there are no external forces acting on the body during the acceleration. Happy calculating!
To find the momentum of a body, we need two pieces of information: its mass and its velocity. Given that the body is at rest initially and then moves with an acceleration, we can use the formula for momentum, which is given by:
Momentum = mass x velocity
Since the body is at rest, its initial velocity is 0. However, we only have information about the acceleration and time elapsed. To find the final velocity, we need to use the equation of motion for uniformly accelerated linear motion:
Final velocity = Initial velocity + (acceleration x time)
Therefore, the final velocity after 3 seconds can be calculated as:
Final velocity = 0 + (acceleration x 3)
Now, we don't have a specific value for acceleration, so we cannot determine the exact value of the final velocity. However, we can still answer the question by considering the options provided.
For the body to have a momentum of 2, 3, 1, or 0.5, the final velocity must be a specific value. Without information about the acceleration, we cannot calculate the final velocity and thus cannot determine the correct option.
Therefore, the answer cannot be determined based on the given information.
To find the momentum of a body after a certain time, we need to know the initial velocity, the acceleration, and the time taken.
Given:
Initial velocity (u) = 0 (since the body is at rest initially)
Acceleration (a) = unknown (not provided in the question)
Time (t) = 3 seconds
Since the acceleration (a) is not given, we cannot directly calculate the momentum. However, assuming we have the acceleration, we can use the following formula to find the momentum:
Momentum (p) = mass (m) × velocity (v)
To find the acceleration, we can use the equation:
v = u + at
Since the initial velocity (u) is 0, the equation simplifies to:
v = at
Now, to determine the momentum, we need to know the value of acceleration (a). Unfortunately, it is not given in the question. Without the value of acceleration, we cannot calculate the momentum.
Therefore, the answer cannot be determined with the information provided (option e. impossible to determine).