Physics Test - ...

A particle has an initial velocity of 9 m/s due east and a constant acceleration of 2 m/s2 due west. The distance covered by the particle in the fifth second of its motion is

A body is projected at time t = 0 from a certain point on a planet’s surface with a certain velocity at a certain angle with the planet’s surface (assumed horizontal). The horizontal and vertical displacements x and y (in metres), respectively vary with time t (in seconds) as x = 10 √3 t and y = 10 t – t².

What is the value of acceleration due to the gravity on the planet’s surface?

A ball, which is at rest, is dropped from a height of 'h' metres. As it bounces off the floor, its speed is 80% of what it was just before touching the ground. The ball will rise to a height of

A stone is dropped from a certain height. After falling for 5 sec, the stone breaks through a pane of glass and instantaneously, loses half of its velocity. If the stone takes one more second to reach the ground, what is the height of the glass above the ground? (Given g = 10 m/s2)

The Young's modulus of the material of a wire is 2 x 10¹⁰ Nm^–2. If the elongation strain is 1%, then the energy stored in the wire per unit volume (in Jm^–3) is

If Earth suddenly contracts to 1.5% of its present size, without any change in its mass, then how would the value of acceleration due to gravity change?

A stone weighing 0.5 Kg tied to a rope of length 0.5 m revolves along a circular path in a vertical plane. The tension of the rope at the bottom point of the circle is 45 N. To what height will the stone rise if the rope breaks the moment the velocity is directed upwards? (g = 10m/s²)

Two balls marked 1 and 2 of the same mass m and a third ball marked 3 of mass M are arranged over a smooth horizontal surface as shown in the figure. Ball 1 moves with a velocity v1toward balls 2 and 3. All collisions are assumed to be elastic. If M < m, the number of collisions between the balls will be

A 1 kg ball moving at 12 m/s collides head-on with a 2 kg ball moving in the opposite direction at 24 m/s. What is the velocity of each ball after the impact, if the coefficient of restitution is 2/3 ?

Three particles, each of mass 'm' g, are situated at the vertices of an equilateral triangle ABC of side l cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB in the plane of ABC in gram-cm² unit will be