Question

Шар массой 500 г находится в состоянии покоя. На него движется другой шар массой 100 г со скоростью 3 м/с. Происходит абсолютно упругое соударение, после которого большой шар начинает движение, а малый шар разворачивается в обратную сторону и приобретает скорость 1 м/с. Какую скорость приобрел большой шар?

Answer 1

Ответ: 0,8м/с

Объяснение:

Дано:

m1=100г=0,1кг

m2=500г=0,5кг

V1=3м/с

V2=0м/с

V1'=1м/с

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V2'-?

Согласно закона сохранения импульса:

m1*V1=m2V2'-m1V1'

m2V2'=m1(V1+V1')

V2'=m1(V1+V1')/m2=0,1*(3+1)/0,5=0,8м/с

Answer 2

Problem Analysis

A 500g ball is at rest, and another 100g ball is moving towards it at 3 m/s. After a perfectly elastic collision, the larger ball starts moving, and the smaller ball reverses direction with a speed of 1 m/s. We need to find the velocity acquired by the larger ball after the collision.

Solution

To solve this problem, we can use the principle of conservation of momentum and the principle of conservation of kinetic energy.

Conservation of Momentum

The total momentum before the collision is equal to the total momentum after the collision.

Let's denote: - m1 as the mass of the larger ball (500g) - v1 as the velocity of the larger ball after the collision - m2 as the mass of the smaller ball (100g) - v2 as the velocity of the smaller ball after the collision

The conservation of momentum equation can be written as: m1 * 0 + m2 * 3 = m1 * v1 + m2 * (-1)

Conservation of Kinetic Energy

The total kinetic energy before the collision is equal to the total kinetic energy after the collision.

The kinetic energy equation can be written as: (1/2) * m1 * 0^2 + (1/2) * m2 * 3^2 = (1/2) * m1 * v1^2 + (1/2) * m2 * (-1)^2

Calculations

Let's solve the equations to find the velocity acquired by the larger ball after the collision.

Using the conservation of momentum equation: m2 * 3 = m1 * v1 + m2 * (-1) 500g * v1 = 100g * 3 + 100g * (-1) 500g * v1 = 200g v1 = 0.4 m/s

Therefore, the velocity acquired by the larger ball after the collision is 0.4 m/s.

Final Answer

The larger ball acquires a velocity of 0.4 m/s after the collision.