Uniform Circular Motion Higher Difficulty Level Worksheet

 

Uniform Circular Motion – Advanced Numerical Worksheet

JEE Main • JEE Advanced • NEET

20 High-Difficulty Multiple Choice Questions

Topic: Uniform Circular Motion (Numerical Problems Only)

​

---

Questions

1.

A particle of mass 2 kg moves in a horizontal circle of radius 4 m with speed 8 m/s. The centripetal force is

A) 16 N

B) 24 N

C) 32 N

D) 64 N

---

2.

A body moves in a circle of radius 2 m. If its centripetal acceleration is 18 m/s², its speed is

A) 3 m/s

B) 4 m/s

C) 6 m/s

D) 8 m/s

---

3.

A particle moves with constant speed of 10 m/s in a circle of radius 5 m. The change in velocity after turning through an angle of 120° is

A) 10 m/s

B) $10\sqrt3$ m/s

C) 20 m/s

D) $5\sqrt3$ m/s

---

4.

A car moves around a circular track of radius 80 m. If the coefficient of static friction is 0.5, the maximum possible speed is (g = 10 m/s²)

A) 10 m/s

B) 20 m/s

C) 25 m/s

D) 30 m/s

---

5.

A stone of mass 0.5 kg is tied to a string of length 2 m and rotated in a horizontal circle. If the maximum tension the string can withstand is 50 N, the maximum speed is

A) 10 m/s

B) 12 m/s

C) $10\sqrt2$ m/s

D) 15 m/s

---

6.

A particle completes 300 revolutions per minute in a circle of radius 0.5 m. The centripetal acceleration is

A) $25\pi^2$ m/s²

B) $50\pi^2$ m/s²

C) $100\pi^2$ m/s²

D) $150\pi^2$ m/s²

---

7.

A particle moves with angular speed 8 rad/s in a circle of radius 0.5 m. The magnitude of acceleration is

A) 8 m/s²

B) 16 m/s²

C) 32 m/s²

D) 64 m/s²

---

8.

A cyclist negotiates a circular turn of radius 25 m at 15 m/s. The minimum coefficient of friction required is

A) 0.45

B) 0.60

C) 0.90

D) 1.20

---

9.

A particle moving uniformly in a circle changes its velocity by 15 m/s after rotating through 60°. The speed is

A) 10 m/s

B) 15 m/s

C) 20 m/s

D) 25 m/s

---

10.

A wheel rotates at 600 rpm. A point on its rim is 0.20 m from the center. The tangential speed is

A) $2\pi$ m/s

B) $4\pi$ m/s

C) $8\pi$ m/s

D) $12\pi$ m/s

---

11.

A satellite revolves around Earth at a speed of 8 km/s in a circular orbit. If its orbital radius is $8\times10^6$m, the centripetal acceleration is

A) 4 m/s²

B) 6 m/s²

C) 8 m/s²

D) 10 m/s²

---

12.

A particle moves in a circle of radius 3 m with kinetic energy 108 J. Its mass is 6 kg. The centripetal force is

A) 36 N

B) 54 N

C) 72 N

D) 108 N

---

13.

A body rotates with frequency 5 Hz in a circle of radius 0.4 m. The centripetal acceleration is

A) $20\pi^2$ m/s²

B) $40\pi^2$ m/s²

C) $80\pi^2$ m/s²

D) $160\pi^2$ m/s²

---

14.

A particle moves in a circle of radius 10 m with constant speed. If the centripetal force doubles while the radius remains constant, the new speed becomes

A) $v\sqrt2$

B) $2v$

C) $v/2$

D) $v/\sqrt2$

---

15.

A particle moves in a circle of radius R with speed v. If the radius becomes 4R while centripetal force remains unchanged, the new speed is

A) $v$

B) $2v$

C) $v/2$

D) $4v$

---

16.

A rotating platform makes one revolution every 4 s. A coin placed 0.5 m from the center just avoids slipping. The coefficient of friction is (g = 10 m/s²)

A) 0.031

B) 0.062

C) 0.125

D) 0.25

---

17.

A particle of mass 1 kg moves in a circle of radius 2 m. If its momentum is 20 kg·m/s, the centripetal force is

A) 100 N

B) 150 N

C) 200 N

D) 250 N

---

18.

A body moving in a circle has angular speed doubled while radius is halved. The centripetal acceleration becomes

A) Twice

B) Four times

C) Eight times

D) Sixteen times

---

19.

A point on the rim of a disc rotating at 120 rpm has centripetal acceleration 80π² m/s². The radius of the disc is

A) 25 m

B) 5 m

C) 7.5 m

D) 1.0 m

---

20.

A particle travels with constant speed 12 m/s on a circular path. After 5 s, it completes exactly two revolutions. The radius of the circle is

A) 2.39 m

B) 4.77 m

C) 6.00 m

D) 9.55 m

---

Answer Key

Q.No.	Answer
1	C
2	C
3	C
4	B
5	C
6	B
7	C
8	C
9	B
10	B
11	C
12	C
13	B
14	A
15	B
16	A
17	C
18	A
19	B
20	B