Dynamics

Play an AI-generated podcast conversation about this lesson

What is the significance of the larger value of t in the context of the body's motion?

It is the total time taken by the body to reach the highest point and then come back to the starting point (correct)
It is the time taken by the body to reach the highest point
It is the time taken by the body to return to the starting point
It is the time when the body is at rest

What is the condition when the particle returns to the starting point?

h = 0 (correct)
t = 0
u = 0
v = 0

What is the time of flight of the particle?

2u/g (correct)
g/u
u/g
g/2u

What is the distance travelled by the stone in 5 seconds?

25g (D) Signup and view all the answers

What is the remaining distance travelled by the stone after 3 seconds of its fall?

8g (A) Signup and view all the answers

What is the unit of power that is equivalent to 107 ergs per second?

1 watt (A) Signup and view all the answers

What is the kinetic energy of a body measured by?

The work done by the body (A) Signup and view all the answers

If a bowler throws a bumper with a speed of 24 m/sec, and the ball loses its energy by 1.5 kgm when it touches the ground, what is the ball's speed when it hits the bat?

2.22 m/sec (D) Signup and view all the answers

What is the ratio of the kinetic energies of two bodies of masses m and 4m moving with equal momentum?

4 : 1 (D) Signup and view all the answers

What is the horsepower equivalent to in watts?

746 watt (B) Signup and view all the answers

What is the formula for the potential energy of a body?

P.E. = mgh (C) Signup and view all the answers

What is the kinetic energy of the ball before it touches the ground?

7.17 kgm (A) Signup and view all the answers

What is the velocity of the ball at which it hits the bat?

22.2 m/s (B) Signup and view all the answers

What is the ratio of the increase in kinetic energy in the mth and (m+1)th second?

2m-1 : 2m+1 (A) Signup and view all the answers

What is the formula for the kinetic energy of an object?

K.E. = 1/2mv^2 (D) Signup and view all the answers

What is the direction of the actual velocity of the rain with respect to the direction of motion of the man?

60° (A) Signup and view all the answers

What is the relative velocity of the second particle with respect to the first particle after a time t?

f t + u cos α (C) Signup and view all the answers

What is the acceleration of a particle moving in a straight line with uniform acceleration?

Constant acceleration (C) Signup and view all the answers

What is the velocity of a particle after time t, if it starts with initial velocity u and moves with constant acceleration f?

u + f t (D) Signup and view all the answers

What is the condition for the particle to return to the starting point in a rectilinear motion with uniform acceleration?

v = 0 (C) Signup and view all the answers

What is the velocity of a particle after time t, if it starts with an initial velocity u and accelerates with a constant acceleration f?

u + ft (D) Signup and view all the answers

If a particle moves in a straight line with initial velocity u and constant acceleration f, what is the distance travelled in t seconds?

ut + ft^2/2 (A) Signup and view all the answers

A body is moving in a straight line with uniform acceleration. If it covers distances of 10 m and 12 m in the third and fourth seconds respectively, what is its initial velocity?

5 m/sec (B) Signup and view all the answers

What is the average velocity of a particle moving in a straight line with uniform acceleration, over a period of time t?

u + v/2 (A) Signup and view all the answers

If a particle moves in a straight line with initial velocity u and decelerates with a constant acceleration f, what is its velocity after time t?

u - ft (A) Signup and view all the answers

What is the acceleration of a body projected vertically upward?

-g (B) Signup and view all the answers

What is the velocity of a body after time t, if it is projected vertically upward with an initial velocity u?

u - gt (A) Signup and view all the answers

What is the time taken by a body to reach the greatest height, if it is projected vertically upward with an initial velocity u?

u / (2g) (B) Signup and view all the answers

What is the equation of motion for the distance of a body projected vertically upward with an initial velocity u?

h = ut - gt^2 / 2 (C) Signup and view all the answers

What is the condition for a body to reach a given height, if it is projected vertically upward with an initial velocity u?

u^2 >= 2gh (D) Signup and view all the answers