Question

Незрелый плод персика массой 180 г падает с дерева. Чему равна кинетическая энергия персика за миг до удара о землю, если персик свободно падал с высоты 1 м? С какой скоростью персик врежется в землю? (Принять g=9.8Нкг).

Answer 1

Ответ:

Объяснение:

m=0.18 кг     h=1 м    Ek=?   v=?

===

Ek=En=m*g*h=0.18*9.8*1=1.764 Дж

Ek=m*v²/2

v²/2=g*h

v=√(2*g*h)=√(2*9.8*1)≈4.43 м/с

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Answer 2

Calculation of Kinetic Energy:

To calculate the kinetic energy of the peach before it hits the ground, we can use the formula:

Kinetic Energy = (1/2) * mass * velocity^2

Given that the mass of the peach is 180 g (or 0.18 kg) and it falls freely from a height of 1 m, we can calculate the velocity using the equation:

velocity = sqrt(2 * g * height)

where g is the acceleration due to gravity, which is 9.8 m/s^2.

Let's calculate the velocity first:

velocity = sqrt(2 * 9.8 * 1) = sqrt(19.6) ≈ 4.43 m/s

Now, we can calculate the kinetic energy:

Kinetic Energy = (1/2) * 0.18 * (4.43)^2 ≈ 0.89 J

Therefore, the kinetic energy of the peach just before it hits the ground is approximately 0.89 Joules.

Calculation of Impact Velocity:

To calculate the impact velocity of the peach when it hits the ground, we can use the equation:

velocity = sqrt(2 * g * height)

where g is the acceleration due to gravity and height is the distance the peach falls.

Using the given values, we can calculate the impact velocity:

velocity = sqrt(2 * 9.8 * 1) = sqrt(19.6) ≈ 4.43 m/s

Therefore, the peach will impact the ground with a velocity of approximately 4.43 m/s.

Please note that these calculations assume idealized conditions and do not take into account factors such as air resistance or the elasticity of the peach upon impact.