Kelly pushes a shopping cart with a force of 42 N. The mass of the shopping cart is 24 kg. Calculate the acceleration of the sho
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Answer:
Option D
2 m/s East
Explanation:
From the law of conservation of momentum, the sum of initial momentum equals the sum of final momentum
Momentum, p=mv where m is the mass and v is the velocity
Since the masses are the same then
Therefore
where and
are final velocities of objects while
and
are the initial velocities respectively
Taking East direction as positive then West as negative and by substitution
Therefore
hence East since it's positive
The minimum speed with which Captain Brady had to run off the edge of the cliff to make it safely to the far side of the river is around 6 meters per second.
<h3>Further explanation</h3>This is a free fall 2-dimensional type of problem, therefor we can write equations for both dimensions which model the fall of captain Brady. Let's call <em>x </em>the distance travelled by the captain on the horizontal direction and <em>y </em>the distance travelled on the vertical direction.
Lets suppose that Brady jumped with a complete horizontal velocity from a point which we will call the origin (meaning zero horizontal and vertical displacement), and let's call <em>ta</em> the time it took for captain Brady to reach the river (meaning the time he spent on the air). The equations of motion for the captain will be:
We know that at time <em>ta</em> the captain would have traveled 6.7 m on the horizontal direction, and 6.1 m in the vertical direction. Therefor we can write that:
Which gives us a system of 2 equations and 2 unknowns (<em>V</em> and <em>ta</em>). From the second equation we can solve for <em>ta</em> as:
And solving for <em>V</em> on the first equation, we find that:
Which is almost 6 meters per second.
<h3>Learn more</h3>- Free fall of an arrow: brainly.com/question/1597396
- Concept of free fall: brainly.com/question/1708231
Free fall, projectile, gravity