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Physics- inclined + circular

Total questions: 36

Worksheet time: 44mins

Name
Class
Date
1.

A cyclist while negotiating a circular path with speed 20 m s-1 is found to bend an angle by 30o with vertical. What is the radius of the circular path?

(given, g = 10 m s-2)

a)

69.3 m

b)

58.2 m

c)

74.6 m

d)

95.4 m

2.

A body of weight W is resting on a frictional surface. The angle between the force of friction and the normal reaction is:

a)

00

b)

300

c)

900

d)

1800

3.

A cyclist is moving with a velocity v turns a circular path of radius r. His inclination with the vertical is given by:

a)

tan θ = v2 / rg

b)

tan θ = v2g / r

c)

tan θ = v2rg

d)

none of the above

4.

A cyclist going round in a circular track at a constant speed has:

a)

constant linear velocity

b)

constant linear velocity

c)

acceleration constant magnitude with its direction changing

d)

None of these

5.

A body of mass m slides down a rough inclined plane of angle θ. The acceleration of the body at any instant is:

a)

g

b)

g sinθ

c)

g (sin θ + μk cos θ)

d)

g (sin θ - μk cos θ)

6.

The body will move only when:

a)

Force of friction = applied force

b)

Force of friction < applied force

c)

Force of friction > applied force

d)

All of the above

7.

A body slipping on a rough horizontal plane moves with a deceleration of 4.0 m/s2. What is the coefficient of kinetic friction between the block and the plane? (g= 10 ms-2)

a)

0.5

b)

0.2

c)

0.6

d)

0.4

8.

When a body is moving on a surface, the force of friction is called:

a)

Static friction

b)

Dynamic friction

c)

Limiting friction

d)

Rolling friction

9.

If μs, μk and μr are coefficients of static friction, sliding friction and rolling friction, then

a)

μs < μk < μr

b)

μk < μr < μs

c)

μr < μk < μs

d)

μr = μk = μs

10.

A box is placed on an inclined plane and has to be pushed down. The angle of inclination is:

a)

Equal to angle of friction

b)

More than angle of friction

c)

Equal to angle of repose

d)

Less than angle of repose

11.

Which of the following is the best expression for the Normal Force?

a)

FN = mg cos(ϴ)

b)

FN = mg sin(ϴ)

c)

FN = mg sin(180-ϴ)

d)

FN = mg cos(90-ϴ)

12.
 What is the force of friction between a block of ice that weighs 950 N and the ground if μ = .12? 
a)
65 N
b)
226 N
c)
175 N
d)
114 N
13.
What is the coefficient of static friction if it takes 44 N of force to move a box that weighs 86 N? 
a)
0.78
b)
0.51
c)
0.78 N
d)
0.58 N
14.
A box takes 40 N to start moving when the coefficient of static friction is .54. What is the weight of the box? 
a)
81 N
b)
18 N
c)
98 N
d)
74 N
15.

FN=100N, Ff=20N

a)

μ=5.0

b)

μ=0.2

c)

μ=1.2

d)

μ=0.1

16.
A 1.0 × 105-newton truck at rest on a hill that makes an angle of 8.0° with the horizontal. What is the component of the truck’s weight parallel to the hill?
a)
1.4E3N
b)
1E4N
c)
1.4E4N
d)
9.9E4N
17.

What direction is the net force when the rollercoaster is at the top of the loop?

a)

Towards the sky

b)

Towards the Right

c)

Towards the left

d)

Towards the ground

18.
You swing a bucket of water attached to a string in a circle above your head. What keeps the water in the bucket?
a)
Friction
b)
Centripetal Force
c)
Gravity
d)
Inertia
19.
Calculate the velocity of an object moved around a circle with a radius of 1.65 m and an acceleration of 3.5 m/s2.
a)
2.4 m/s
b)
3.6 m/s
c)
3.9 m/s
d)
4.2 m/s
20.

A car is going over the top of a hill whose curvature approximates a circle of radius 160 m. At what velocity will the occupants of the car appear to weigh 20% less than their normal weight (or their actual weight times 0.8)?

a)

19.8 m/s

b)

17.7 m/s

c)

18.5 m/s

d)

35.4 m/s

21.
A fan spins with a constant angular speed of 500 radians/second. How long will it take to cover an angle of 2π radians (one revolution)?
a)
0.013 s
b)
0.002 s
c)
76.9 s
d)
6.28 s
22.
a)

A

b)

B

c)

C

d)

D

23.
a)

A

b)

B

c)

C

d)

D

24.
a)

b)

c)

d)

D

25.
a)

A

b)

B

c)

C

d)

D

26.
a)

A

b)

B

c)

C

d)

D

27.
a)

A

b)

B

c)

C

d)

D

28.
a)

A

b)

B

c)

C

d)

D

29.
a)

A

b)

B

c)

C

d)

D

30.
a)

A

b)

B

c)

C

d)

D

31.
a)

A

b)

B

c)

C

d)

D

32.

What's the centripetal acceleration of a .2 kg yoyo spun in a circle with a radius of .7 meters at a velocity of 3 m/s?

a)

8.23 m/s2

b)

10.54 m/s2

c)

12.86 m/s2

d)

17.39 m/s2

33.

a)

1

b)

2

c)

3

d)

4

34.

a)

1

b)

2

c)

3

d)

4

35.

a)

1

b)

2

c)

3

d)

4

36.
A particle P is moving in a circle with uniform speed. Which one of the following diagrams correctly shows the direction of the acceleration a and velocity v of the particle at one instant of time?
a)
A
b)
B
c)
C
d)
D

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