MEDIUM
11th ICSE
IMPORTANT
Earn 100

 Determine the magnitude and direction of the combined momentum of the moving spheres shown in the figure by drawing a vector diagram. m1=2 kgm3=3 kgv1=6 m/sv2=4m/s

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Important Questions on Force : Newton's Laws of Motion

MEDIUM
11th ICSE
IMPORTANT

The velocities of two bodies(masses 5 kg and 10 kg) in the +x and the +y directions are 4 m/s and 2 m/s respectively. They collide and stick together. What is the final velocity?

MEDIUM
11th ICSE
IMPORTANT

A metallic block of mass 2 kg is resting on a frictionless plane. It is struck by a jet releasing water at a rate of 1 kg/s and at a speed of 5 ms-1. Find the initial acceleration of the block.

EASY
11th ICSE
IMPORTANT

The mass of a rocket is 1.3×104 kg. Its engine exerts on it an initial thrust of 2.6×105 N in the upward direction. Calculate the initial acceleration attained by the rocketg=9.8 m/s2.

MEDIUM
11th ICSE
IMPORTANT

In a rocket fuel is burnt at the rate of 100 kg/s and burnt gases rush at a speed of 5×104 m/s. Find the thrust of the rocket ignoring gravity.

HARD
11th ICSE
IMPORTANT

In a rocket, the mass of the fuel is 90% of the total mass. The exhaust gases are ejected at a speed of 2 kms-1. Find the maximum speed attained by the rocket. Neglect gravity and air resistance and take the initial speed of the rocket to be zero. Given : loge10=2.3

HARD
11th ICSE
IMPORTANT

Based upon the following paragraph answer the following multiple choice question:

Paragraph:

Phase space diagrams are useful tools for analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one dimension. For such systems, phase space is a plane, in which position is plotted along the horizontal axis and momentum is plotted along the vertical axis. The phase space diagram is x(t) vs. p(t) curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity in a straight line as shown in the figure. We use the sign convention in which opposition and momentum upwards(or to right) are positive and downwards (or to left) are negative.

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The phase space diagram for a ball thrown in  the vertically upward direction is:

HARD
11th ICSE
IMPORTANT

Phase space diagrams are useful tools in analysing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one dimension. For such systems, phase space is a plane, in which position is plotted along horizontal axis and momentum is plotted along vertical axis. The phase space diagram is x(t) vs. p(t) curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity in a straight line as shown in the figure. We use the sign convention in which position and momentum upwards(or to right) are positive and downwards (or to left) is negative.

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The phase space diagram for the simple harmonic motion is a circle centered at the origin. In the figure, the two circles represent the same oscillator but for different initial conditions, and E1 and E2 are the total mechanical energies respectively. Then

 

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HARD
11th ICSE
IMPORTANT

Based upon the following paragraph answer the following multiple choice question:

Paragraph:

Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one dimension. For such systems, phase space is a plane, in which position is plotted along horizontal axis and momentum is plotted along vertical axis. The phase space diagram is x(t) vs. p(t) curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity in a straight line as shown in the figure. We use the sign convention in which position and momentum upwards(or to right) are positive and downwards (or to left) is negative.

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Consider the spring-mass system, with the mass submerged in water, as shown in the figure. The phase space diagram for one cycle of this system is:

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