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phy_2.9_circular motion 圓周運動 2

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

物體作勻速圓周運動時,它的速度

When an object performs uniform circular motion, its velocity

a)

不會改變。

does not change.

b)

不斷改變。

is changing all the time.

c)

沒有方向。

does not have a direction.

d)

總是指向同一方向。

is always in the same direction.

2.

一粒子繞一固定點作勻速圓周運動。以下有關該粒子的物理量,哪些會保持不變?

For a particle performing uniform circular motion about a fixed point, which of the following physical quantities of the particle remain unchanged?

a)

速度

velocity

b)

加速度

acceleration

c)

動能

kinetic energy

d)

動量

momentum

3.

一男子在一圓柱形的「旋轉箱」內以恆速率轉動,他與牆壁保持緊貼。「旋轉箱」的地板是光滑的。以下哪個力提供該男子的向心力?

A man is rotating with constant speed inside a cylindrical ‘rotor’ and he remains pressed against the wall. The floor of the ‘rotor’ is smooth. Which of the following forces provides the centripetal force for the man?

a)

該男子的重量

the weight of the man

b)

來自牆壁的摩擦力

the frictional force from the wall

c)

來自牆壁的法向反作用力

the normal reaction from the wall

d)

來自地板的承托力

the supporting force from the floor

4.

在一水平的圓形平台上,跟中心點O距離2rr的地方分別固定着粒子PQ,而平台如圖所示以勻速轉動。PQ角速率之比為

Particles P and O are fixed at distances 2r and r respectively from the centre O of a horizontal circular platform which is rotating uniformly as shown. The ratio of the angular speed of P to that of O is

a)

1:1

b)

2:1

c)

4:1

d)

1:2

5.

在一水平的圓形平台上,跟中心點O距離2rr的地方分別固定着粒子PQ,而平台如圖所示以勻速轉動。PQ線速率之比為

Particles P and O are fixed at distances 2r and r respectively from the centre O of a horizontal circular platform which is rotating uniformly as shown. The ratio of the linear speed of P to that of O is

a)

1:1

b)

2:1

c)

4:1

d)

1:2

6.

在一水平的圓形平台上,跟中心點O距離2rr的地方分別固定着粒子PQ,而平台如圖所示以勻速轉動。PQ加速度之比為

Particles P and O are fixed at distances 2r and r respectively from the centre O of a horizontal circular platform which is rotating uniformly as shown. The ratio of the acceleration of P to that of O is

a)

1:1

b)

2:1

c)

4:1

d)

1:2

7.

在一水平的圓形平台上,跟中心點O距離2rr的地方固定着兩粒相同的粒子PQ,而平台如圖所示以勻速轉動。PQ動量之比為

Two identical particles P and O are fixed at distances 2r and r respectively from the centre O of a horizontal circular platform which is rotating uniformly as shown. The ratio of the momentum of P to that of O is

a)

1:1

b)

2:1

c)

4:1

d)

1:2

8.

在一水平的圓形平台上,跟中心點O距離2rr的地方固定着兩粒相同的粒子PQ,而平台如圖所示以勻速轉動。PQ動能之比為

Two identical particles P and O are fixed at distances 2r and r respectively from the centre O of a horizontal circular platform which is rotating uniformly as shown. The ratio of the KE of P to that of O is

a)

1:1

b)

2:1

c)

4:1

d)

1:2

9.

物體作勻速圓周運動時,它的向心力 F

When an object performs uniform circular motion, its centripetal force F

a)

F=mv2r=mrω2F=\frac{mv^2}{r}=mr\omega^2

b)

F=mrv2=mω2rF=mrv^2=\frac{m\omega^2}{r}

c)

F=mrv2=mrω2F=mrv^2=mr\omega^2

d)

F=mv2r=mω2rF=\frac{mv^2}{r}=\frac{m\omega^2}{r}

10.

將一個質量為 1 kg 的茶壺放置於水平轉盤上,茶壺距離轉盤中心 30 cm,當轉盤旋轉時,茶壺保持在轉盤上的同一位置。指出什麼力茶壺提供向心力。

A teapot of mass 1 kg is put 30 cm from the centre of a horizontal turntable. When the turntable is rotating, the teapot remains at the same position on the turntable. Name the force that provides the centripetal force for the teapot.

a)

張力 Tension

b)

摩擦力 Friction

c)

法向反作用力 Normal reaction

d)

重量 Weight

11.

將一個質量為 1 kg 的茶壺放置於水平轉盤上,茶壺距離轉盤中心 30 cm,當轉盤 以 3.14 rad s–1 的角速率旋轉時,茶壺保持在轉盤上的同一位置。求茶壺的向心力。

A teapot of mass 1 kg is put 30 cm from the centre of a horizontal turntable. When the turntable is rotating with its angular speed of 3.14 rad s–1, the teapot remains at the same position on the turntable. Find the centripetal force of the teapot.

a)

30×3.14230\times3.14^2 N

b)

0.3×3.1420.3\times3.14^2 N

c)

3.14230\frac{3.14^2}{30} N

d)

3.1420.3\frac{3.14^2}{0.3} N

12.

一條無摩擦力的弧形管道固定在水平桌面上,小球從 P 點進入管道。小球在 Q 點離開管道後,會沿哪一條路徑移動?

A frictionless circular channel is attached securely to a level table top. A ball enters the channel at P. Which of the paths best represents the path of the ball as it exits the channel at Q?

a)

A

b)

B

c)

C

d)

D