Mechanics problem — One body thrown vertically and one thrown horizontally

Thread starter Baiatul122001
Start date Dec 30, 2019
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Body Mechanics

In summary, the conversation discusses finding the speed of body B in a problem where two objects are thrown at different speeds and at different heights. The goal is to calculate the minimum distance between the two objects when B hits the ground. The conversation covers various approaches, including using the Pythagorean theorem and considering the function f(v2) to calculate the minimum distance. Ultimately, the conversation concludes that there may be a simpler way to solve the problem.

Jan 2, 2020

haruspex

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akawter said:

A at that time you calculated?

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<h2>1. What is the initial velocity of the two bodies?</h2><p>The initial velocity of the body thrown vertically is 0 m/s since it is initially at rest. The initial velocity of the body thrown horizontally depends on the specific problem and can be calculated using the formula v = d/t, where v is the velocity, d is the distance, and t is the time.</p><h2>2. How do you calculate the maximum height reached by the vertically thrown body?</h2><p>The maximum height reached by the vertically thrown body can be calculated using the formula h = (v^2 * sin^2(theta)) / 2g, where h is the maximum height, v is the initial velocity, theta is the angle of projection, and g is the acceleration due to gravity.</p><h2>3. What is the relationship between the horizontal and vertical components of the two bodies' velocities?</h2><p>The horizontal and vertical components of the two bodies' velocities are independent of each other. This means that the horizontal velocity of the vertically thrown body remains constant while the vertical velocity changes due to the influence of gravity. Similarly, the vertical velocity of the horizontally thrown body remains constant while the horizontal velocity changes due to the influence of any external forces.</p><h2>4. How do you find the time of flight for the horizontally thrown body?</h2><p>The time of flight for the horizontally thrown body can be calculated using the formula t = d/v, where t is the time, d is the distance, and v is the horizontal velocity. This assumes that there are no external forces acting on the body to change its velocity.</p><h2>5. What is the effect of air resistance on the motion of the two bodies?</h2><p>Air resistance can have a significant effect on the motion of the two bodies. It can reduce the horizontal distance traveled by the horizontally thrown body and decrease the maximum height reached by the vertically thrown body. This is because air resistance acts as a force that opposes the motion of the bodies, causing them to slow down.</p>

1. What is the initial velocity of the two bodies?

The initial velocity of the body thrown vertically is 0 m/s since it is initially at rest. The initial velocity of the body thrown horizontally depends on the specific problem and can be calculated using the formula v = d/t, where v is the velocity, d is the distance, and t is the time.

2. How do you calculate the maximum height reached by the vertically thrown body?

The maximum height reached by the vertically thrown body can be calculated using the formula h = (v^2 * sin^2(theta)) / 2g, where h is the maximum height, v is the initial velocity, theta is the angle of projection, and g is the acceleration due to gravity.

3. What is the relationship between the horizontal and vertical components of the two bodies' velocities?

The horizontal and vertical components of the two bodies' velocities are independent of each other. This means that the horizontal velocity of the vertically thrown body remains constant while the vertical velocity changes due to the influence of gravity. Similarly, the vertical velocity of the horizontally thrown body remains constant while the horizontal velocity changes due to the influence of any external forces.

4. How do you find the time of flight for the horizontally thrown body?

The time of flight for the horizontally thrown body can be calculated using the formula t = d/v, where t is the time, d is the distance, and v is the horizontal velocity. This assumes that there are no external forces acting on the body to change its velocity.

5. What is the effect of air resistance on the motion of the two bodies?

Air resistance can have a significant effect on the motion of the two bodies. It can reduce the horizontal distance traveled by the horizontally thrown body and decrease the maximum height reached by the vertically thrown body. This is because air resistance acts as a force that opposes the motion of the bodies, causing them to slow down.