Motion in a Plane Test

Result

Motion in a Plane Test - 28

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
4 / -1

A boy on a cycle pedals around a circle of 20 m radius at a speed of 20 m/sec. The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that is may not fall is (g = 9.8 m/s²)

A
60.25^o

B
63.90^o

C
26.12^o

D
30.00^o

Solution
Question 2
4 / -1

The average acceleration vector for a particle having a uniform circular motion is

A
A constant vector of magnitude v²/r

B
A vector of magnitude v²/r directed normal to the plane of the given uniform circular motion

C
Equal to the instantaneous acceleration vector at the start of the motion

D
A null vector
Question 3
4 / -1

Radius of the curved road on national highway is R. Width of the road is b. The outer edge of the road is raised by h with respect to inner edge so that a car with velocity v can pass safe over it. The value of h is

A

B

C

D

Solution
Question 4
4 / -1

The magnitude of the centripetal force acting on a body of mass m executing uniform motion in a circle of radius r with speed v is

A
mvr

B
mv²/r

C
v/r²m

D
v/mr
Question 5
4 / -1

A string breaks if its tension exceeds 10 N. A stone of mass 250 gm tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be

A
20 rad/s

B
40 rad/s

C
100 rad/s

D
200 rad/s

Solution
Question 6
4 / -1

A ball of mass 0.25 kg attached to the end of a string of length 1.96 m moving in a horizontal circle. Te string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?

A
14 m/s

B
3 m/s

C
3.92 m/s

D
5 m/s

Solution
Question 7
4 / -1

A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 radian/sec. The centripetal force is

A
10 N

B
20 N

C
30 N

D
40 N

Solution
Question 8
4 / -1

If a particle of mass m moving in a horizontal circle of radius r with a centripetal force (–k/r²), the total energy is

A

B

C

D

Solution
Question 9
4 / -1

A stone of mass 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16N. The maximum velocity of revolution that can be given to the stone without braking it, will be

A
20 ms^–1

B
16 ms^–1

C
14 ms^–1

D
12 ms^–1

Solution
Question 10
4 / -1

A circular road of radius 1000 m has banking angle 45^o. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between type and road is 0.5

A
172 m/s

B
124 m/s

C
99 m/s

D
86 m/s

Solution