Physics, 17.11.2020 06:10 ahmadfarriz5948

How much force is required to launch a 1 kg pumpkin 10 meters away from 5 meters off the
ground at a launch angle of zero degrees if it takes the catapult 0.1 seconds to fully launch the
pumpkin?

Answers: 2

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Answer from: gdog5644

F= 99 N

Explanation:

Dynamics and Kinematics

This problem is a combination of dynamics and kinematics because we need formulas and concepts of both branches of physics to solve it.

We need to calculate the force required to launch horizontally a pumpkin of m=1 Kg a distance of d=10 m away from a height of h=5 m.

Since the force is:

F = m.a

We need to calculate the acceleration required to move the pumpkin from rest (vo=0) to the launching speed (vf) in a time t=0.1 seconds.

The acceleration can be calculated by using the kinematic equation:

$\displaystyle a=\frac{v_f-v_o}{t}$

The final launching speed vf can be calculated knowing the height and maximum horizontal distance reached by the pumpkin.

When an object is thrown horizontally with a speed vf from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:

$\displaystyle d=v_f\cdot\sqrt{\frac {2h}{g}}$

Solving for vf:

$\displaystyle v_f=d\cdot\sqrt{\frac {g}{2h}}$

Substituting:

$\displaystyle v_f=10\cdot\sqrt{\frac {9.8}{2\cdot 5}}$

Calculating:

$v_f=9.9\ m/s$

Now we calculate the acceleration:

$\displaystyle a=\frac{9.9-0}{0.1}$

$a= 99\ m/s^2$

Thus, the force required is:

$F=1\ Kg\cdot 99\ m/s^2$

F= 99 N

Answer from: Quest

answer: good job it's all correct !

explanation:

Iwill mark as the brainliest answer check if the answers are correct

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

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