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pav-90 [236]
4 years ago
13

Which of the following statements is true in the case of a collision?

Physics
1 answer:
cluponka [151]4 years ago
3 0

Answer: D

Reduced impact time will increase the impact force

Explanation: Collision occurs when two or more bodies collide and exert forces on each other within a short time.

If a body of mass M moving with a velocity V collide with another body, the kinetic energy of the body is equal to the work done by the body.

That is, K.E = 1/2mv^2 = F × s

Where workdone = Force × distance

Make F the subject of formula

Mv^2/2s = F

But V = distance s/time t

Substitute for V

Ms^2/2t^2s = F

Ms/2t^2 = F

From the equation above, we can deduce that F is inversely proportional to the square of time.

Therefore, the reduced impact time will increase the impact force

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A 2.0-kg projectile is fired with initial velocity components v0x = 30 m/s and v0y = 40 m/s from a point on the Earth's surface.
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(a) The kinetic energy of the projectile when it reaches the highest point in its trajectory is 900 J.

(b) The work done  in firing the projectile is 2,500 J.

<h3>Kinetic energy of the projectile at maximum height</h3>

The kinetic energy of the projectile when it reaches the highest point in its trajectory is calculated as follows;

K.E = ¹/₂mv₀ₓ²

where;

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<u>Note:</u> At maximum height the final vertical velocity is zero and the final horizontal velocity is equal to the initial horizontal velocity.

K.E = (0.5)(2)(30²)

K.E = 900 J

<h3>Work done in firing the projectile</h3>

Based on the principle of conservation of energy, the work done in firing the projectile is equal to the initial kinetic energy of the projectile.

W = K.E(i) = ¹/₂mv²

where;

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v = √(30² + 40²)

v = 50 m/s

W = (0.5)(2)(50²)

W = 2,500 J

Thus, the kinetic energy of the projectile when it reaches the highest point in its trajectory is 900 J.

The work done  in firing the projectile is 2,500 J.

Learn more about kinetic energy here: brainly.com/question/25959744

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