Motion in a Plane Test

Result

Motion in a Plane Test - 7

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Weekly Quiz Competition

Question 1
4 / -1

A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with velocity of 147 ms ^-1. Then, the time after which its inclination with the horizontal is 45°, is

A
25 s

B
10.98 s

C
5.49 s

D
2.745 s

Solution
Question 2
4 / -1

Two bodies are projected from ground with equal speed 20 ms ^-1 from the same position in the same vertical plane to have equal range but at different angles above the horizontal. If one of the angle is 30° the sum of their maximum heights is (assume, g =10 ms ^-2)

A
400 m

B
20 m

C
30 m

D
40 m

Solution
Question 3
4 / -1

Three particles A, B and C are projected from the same point with the same initial speeds making angles 30°, 45° and 60°, respectively with the horizontally. Which of the following statements is correct?

A
A ,B and C have unequal ranges

B
Range of A and C are less than that of B

C
Range of A and C are equal and greater than that of B

D
A, B and C have equal ranges

Solution
Question 4
4 / -1

A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out a length s = t³ + 5, where s is in metre and t is in second. The radius of the path is 20 m. The acceleration of P, when t = 2 s is nearly

A
13 ms ^-2

B
12 ms ^-2

C
7.2 ms ^-2

D
14 ms ^-2

Solution
Question 5
4 / -1

A car is circulating on the path of radius r and at any time its velocity is v and rate of increase of velocity is a. The resultant acceleration of the car will be

A

B

C

D

Solution
Question 6
4 / -1

If kinetic energy of the particle of mass m performing UCM in a circle of radius r is E. Find the acceleration of the particle

A

B

C
2Emr

D

Solution
Question 7
4 / -1

A bob of mass M is suspended by a massless string of length L. The horizontal velocity v at position A is just sufficient to make it reach the point B. The angle θ at which the speed of the bob is half of that at A, satisfies

A

B

C

D

Solution
Question 8
4 / -1

A roller coaster is designed such that riders experience `weightlessness' as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between

A
14 ms ^-1 and 15 ms ^-1

B
15 ms ^-1 and 16 ms ^-1

C
16 ms ^-1 and 17 ms ^-1

D
13 ms ^-1 and 14 ms ^-1

Solution
Question 9
4 / -1

A particle of mass m is tied to one end of a string of length l and rotated though the other end along a horizontal circular path with speed v. The work done in half horizontal circle is

A
zero

B

C

D

Solution
Question 10
4 / -1

A cyclist is travelling on a circualr section of highway of radius 2500 ft at the speed of 60 mile h ^-1. The cyclist suddenly applies the brakes causing the bicycle to shown down at constant rate. Knowing that after 8s, the speed has been reduced to 45 mile h ^-1. The acceleration of the bicycle immediately after the brakes have been applied is

A
2 ft/s²

B
4.14 ft/s²

C
3.10 ft/s²

D
2.75 ft/s²

Solution